ML17229A093: Difference between revisions

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| number = ML17229A093
| number = ML17229A093
| issue date = 10/31/1996
| issue date = 10/31/1996
| title = Analysis of Odscc/Iga at Tubesheet & Tube Support Locations at St Lucie Unit 1.
| title = Analysis of Odscc/Iga at Tubesheet & Tube Support Locations at St Lucie Unit 1
| author name =  
| author name =  
| author affiliation = APTECH ENGINEERING SERVICES
| author affiliation = APTECH ENGINEERING SERVICES
Line 17: Line 17:


=Text=
=Text=
{{#Wiki_filter:Oa IS APPLIED TECHNOLOGY I)   St. Lucie Unit 1 Docket No. 50-335                                                               AES 96052749-1-1 L-96-273 Enclosure 2                                                                   October, 1996 ANALYSIS OF ODSCC/IGA AT TUBESHEET AND TUBE SUPPORT LOCATIONS AT ST. LUCIE UNIT 1 Prepared by J. A. Begley B. W. Woodman S. D. Brown W. R. Brose APTECH ENGINEERING SERVICES, INC.
{{#Wiki_filter:Oa I)
Prepared for Florida Power   5 Light 0'hi0280072 PDR     ADOCK 9hf024 05000335 P
St. Lucie Unit 1 Docket No. 50-335 L-96-273 Enclosure 2 IS APPLIEDTECHNOLOGY AES 96052749-1-1 October, 1996 ANALYSIS OF ODSCC/IGA AT TUBESHEET AND TUBE SUPPORT LOCATIONS AT ST. LUCIE UNIT 1 Prepared by J. A. Begley B. W. Woodman S.
D. Brown W. R. Brose APTECH ENGINEERING SERVICES, INC.
Prepared for Florida Power 5 Light 0'hi0280072 9hf024 PDR ADOCK 05000335 P
PDR,'PTECH ENGINEERING SERVICES, INC.
PDR,'PTECH ENGINEERING SERVICES, INC.
200 FLEET STREET o SUITE 4040 o PITTSBURGH o PA 15220 o (412) 92'>633 o FAX (412) 9204644 HEADQUARTERS o SUNNYVALE, CA o (408) 745-7000 OFFICES o UPPER MARLBORO, MD o (301) 599 2301 a GUMMING, GAo PTO) 781%756 a BETHLEHEM, PA a (610) 866 7347 HOUSTON, TX a (713) 558-3200 o CHATTANOOGA, TN o (615) 49W777 a GASTONIA, NC o (704) 865-6318
200 FLEET STREET o SUITE 4040 o PITTSBURGH o PA 15220 o (412) 92'>633 o FAX (412) 9204644 HEADQUARTERS o SUNNYVALE,CAo (408) 745-7000 OFFICES o UPPER MARLBORO, MD o (301) 599 2301 a GUMMING,GAo PTO) 781%756 a BETHLEHEM, PA a (610) 866 7347 HOUSTON, TX a (713) 558-3200 o CHATTANOOGA,TN o (615) 49W777 a GASTONIA, NC o (704) 865-6318


TABLE OF CONTENTS Section                                                             Pacae EXECUTIVE  
TABLE OF CONTENTS Section Pacae EXECUTIVE  


==SUMMARY==
==SUMMARY==
1 INTRODUCTION 1.1 IGA/ODSCC at Top of the Tubesheet 1.2 IGA/ODSCC at Lattice Supports 1.3 GA/ODSCC at Drilled Supports 1.4 IGA/ODSCC at Freespan Locations 2
STRUCTURAL REQUIRElVIENTS AND GENERAL CONSIDERATIONS 2.1 Axial Defects 2.2 Circumferential Defects 3
ANALYSIS INPUT PARAMETERS 3.1 Tubing Mechanical Properties 3.2 Degradation Length Distribution 3.3 Probability of Detection and Sizing Accuracy 3.4 Degradation Growth Rates 16 16 16 17 19 4
PROBABILISTIC MODELS 4.1 Circumferential Cracking'.2 Axial Cracking with Repair on Detection 4.3 Axial Cracking with Repair on Sizing 31 31 33 36 Aptech Engineering Services, Inc.
AES96052749-1-1


1      INTRODUCTION 1.1    IGA/ODSCC at Top of the Tubesheet 1.2    IGA/ODSCC at Lattice Supports 1.3    GA/ODSCC at Drilled Supports 1.4    IGA/ODSCC at Freespan Locations 2      STRUCTURAL REQUIRElVIENTS AND GENERAL CONSIDERATIONS 2.1    Axial Defects 2.2      Circumferential Defects 3      ANALYSIS INPUT PARAMETERS                                      16 3.1    Tubing Mechanical Properties                            16 3.2      Degradation Length Distribution                        16 3.3    Probability of Detection and Sizing Accuracy            17 3.4    Degradation Growth Rates                                19 4      PROBABILISTIC MODELS                                            31 4.1    Circumferential    Cracking'.2 31 Axial Cracking with Repair on Detection                33 4.3    Axial Cracking with Repair on Sizing                    36 Aptech Engineering Services, Inc.                          AES96052749-1-1
5 STRUCTURAL MARGIN EVALUATION 5.1 Application of the Repair on Sizing Model 5.1.1 Benchmarking the Repair on Sizing Model 5.1.2 Computation of Burst Probabilities as a Function of Run Time for the Average Support 5.1.3 Burst Probabilities for IGA/ODSCC at Eggcrates, Tubesheet, and Vertical Supports 5.2 Application of the Repair on Detection Model for Axial Degradation 5.3 Application of the Repair of Detection Model for Circumferential Degradation 5.4 Summary of All Mechanisms 41 43 44 45 47 47 6
 
LEAKAGE EVALUATION 6.1 Projected Leak Rates for Axial Degradation in the Sludge Pile and at Lattice Type Supports 6.2 Projected Leak Rates for Circumferential Degradation 6.3 Projected Leak rates from Degradation at Drilled Support and Freespan Locations 6.4 Total Projected Leak Rate 59 60 61 61 62 7
5     STRUCTURAL MARGIN EVALUATION 5.1     Application of the Repair on Sizing Model                   41 5.1.1 Benchmarking the Repair on Sizing Model               43 5.1.2 Computation of Burst Probabilities as   a Function of Run Time for the Average Support                 44 5.1.3   Burst Probabilities for IGA/ODSCC at Eggcrates, Tubesheet, and Vertical Supports 5.2     Application of the Repair on Detection Model for Axial Degradation                                           45 5.3     Application of the Repair of Detection Model for Circumferential Degradation                                 47 5.4     Summary of All Mechanisms                                   47 6     LEAKAGE EVALUATION                                                 59 6.1     Projected Leak Rates for Axial Degradation in the Sludge Pile and at Lattice Type Supports                 60 6.2     Projected Leak Rates for Circumferential Degradation       61 6.3     Projected Leak rates from Degradation at Drilled Support and Freespan Locations                       61 6.4     Total Projected Leak Rate                                   62 7    


==SUMMARY==
==SUMMARY==
AND CONCLUSIONS                                             66 REFERENCES                                                           68 Aptech Engineering Services, Inc.                               AES96052749-1-1
AND CONCLUSIONS 66 REFERENCES 68 Aptech Engineering Services, Inc.
AES96052749-1-1


EXECUTIVE  
EXECUTIVE  


==SUMMARY==
==SUMMARY==
 
An evaluation of the significance of corrosion degradation on the structural integrity 'of Alloy 600 steam generator tubing at St.
An evaluation of the significance of corrosion degradation on the structural integrity 'of Alloy 600 steam generator tubing at St. Lucie Unit           1 was performed. Outer diameter stress corrosion cracking/intergranular attack was considered     at five types of locations.     These   locations and degradation modes included:
Lucie Unit 1
~   circumferential degradation at explosive expansion transitions at the top of the tubesheet
was performed.
~   axial degradation at the top of the tubesheet in the sludge pile
Outer diameter stress corrosion cracking/intergranular attack was considered at five types of locations.
~   axial degradation at eggcrate and vertical strap (lattice type) tube support structures
These locations and degradation modes included:
~   axial degradation at drilled tube support structures
~
~   axial degradation at upper bundle freespan locations.
circumferential degradation at explosive expansion transitions at the top of the tubesheet
Several probabilistic run time models were employed.             Modeling included scenarios of both plug on detection and plug on sizing, depending on the mode and location of degradation.       Circumferential degradation at the top of the tubesheet,     as well as axial degradation     at freespan   and drilled tube support locations, was modeled using         a plug on detection scenario coupled with an     RPC inspection     scheme. Modeling of axial degradation     at other locations employed     a bobbin probe inspection with a plug on sizing scenario.
~
Probabilistic computations of the conditional probability of burst and the magnitude       of   leakage     under accident     conditions   were   developed.
axial degradation at the top of the tubesheet in the sludge pile
~
axial degradation at eggcrate and vertical strap (lattice type) tube support structures
~
axial degradation at drilled tube support structures
~
axial degradation at upper bundle freespan locations.
Several probabilistic run time models were employed.
Modeling included scenarios of both plug on detection and plug on sizing, depending on the mode and location of degradation.
Circumferential degradation at the top of the tubesheet, as well as axial degradation at freespan and drilled tube support locations, was modeled using a plug on detection scenario coupled with an RPC inspection scheme.
Modeling of axial degradation at other locations employed a bobbin probe inspection with a plug on sizing scenario.
Probabilistic computations of the conditional probability of burst and the magnitude of leakage under accident conditions were developed.
Calculational procedures were benchmarked by comparing predictions of the number and severity of eddy current indications with actual observations and by comparing predicted versus observed leakage during in situ testing.
Calculational procedures were benchmarked by comparing predictions of the number and severity of eddy current indications with actual observations and by comparing predicted versus observed leakage during in situ testing.
Aptech Engineering Services, Inc.                                 AES96052749-1-1 ill
Aptech Engineering Services, Inc.
ill AES96052749-1-1


The results of probabilistic calculations indicate a conditional probability of tube burst summed over all corrosion mechanisms after   a 14 month period of operation of 0.018.       For longer run times an upsweep   in the conditional of burst is noted.     Hence, after 15 months of operation, the   'robability conditional probability of tube burst is calculated to be 0.044. The total projected 95% upper bound leak rate after 15 months of operation is less than 4 gpm. The conditional probability of very large leak rates is roughly on the same order as the conditional probability of burst.       The conditional probability of tube burst under postulated accident conditions is the limiting concern.
The results of probabilistic calculations indicate a conditional probability of tube burst summed over all corrosion mechanisms after a 14 month period of operation of 0.018.
Aptech Engineering Services, Inc.                             AES96052749-1-1 Iv
For longer run times an upsweep in the conditional
'robability of burst is noted.
: Hence, after 15 months of operation, the conditional probability of tube burst is calculated to be 0.044.
The total projected 95% upper bound leak rate after 15 months of operation is less than 4 gpm.
The conditional probability of very large leak rates is roughly on the same order as the conditional probability of burst.
The conditional probability of tube burst under postulated accident conditions is the limiting concern.
Aptech Engineering Services, Inc.
Iv AES96052749-1-1


SECTION 1-INTRODUCTION Steam generator tubing at St. Lucie Unit           1   has experienced     substantial corrosion degradation     over the past 12 years of operation.           From eddy current inspection data and pulled tube examinations this degradation is outer C
SECTION 1-INTRODUCTION Steam generator tubing at St.
diameter   intergranular   attack   and   stress   corrosion   cracking.     Axial degradation has been found at the top of the tubesheet             in the sludge pile region,, at all types of tube support structures and, most recently, at a few upper bundle freespan       locations.     Circumferential degradation     has been observed on the outer diameter of tubing near the explosive expansion region at the top of the tubesheet.
Lucie Unit 1
Corrosion degradation and tube plugging has progressed to the point where the steam generators       will be replaced at the end of the current cycle of operation. This report describes     an evaluation of the     effect of corrosion degradation on the structural and leakage integrity of the steam generator tubing during the current cycle of operation.               Probabilistic methods are employed and several Monte Carlo simulation models have been used.                 The following sections of the introduction provide an overview of the corrosion degradation     experienced     at various   locations   in the   St. Lucie steam generators and the type of analyses which have been conducted to evaluate the significance of this degradation.
has experienced substantial corrosion degradation over the past 12 years of operation.
1.1 IGA/ODSCC AT TOP OF THE TUBESHEET As noted     earlier, outer diameter     circumferential degradation       has been observed near the explosive expansion region at the top of the tubesheet.             At Aptech Engineering Services, Inc.                                     AES96052749-1-1
From eddy current inspection data and pulled tube examinations this degradation is outer C
diameter intergranular attack and stress corrosion cracking.
Axial degradation has been found at the top of the tubesheet in the sludge pile region,, at all types of tube support structures and, most recently, at a few upper bundle freespan locations.
Circumferential degradation has been observed on the outer diameter of tubing near the explosive expansion region at the top of the tubesheet.
Corrosion degradation and tube plugging has progressed to the point where the steam generators will be replaced at the end of the current cycle of operation.
This report describes an evaluation of the effect of corrosion degradation on the structural and leakage integrity of the steam generator tubing during the current cycle of operation.
Probabilistic methods are employed and several Monte Carlo simulation models have been used.
The following sections of the introduction provide an overview of the corrosion degradation experienced at various locations in the St.
Lucie steam generators and the type of analyses which have been conducted to evaluate the significance of this degradation.
1.1 IGA/ODSCC AT TOP OF THE TUBESHEET As noted
: earlier, outer diameter circumferential degradation has been observed near the explosive expansion region at the top of the tubesheet.
At Aptech Engineering Services, Inc.
AES96052749-1-1


the last inspection       165   indications were found during         a 100% RPC inspection (hot leg and cold leg) of this location in both steam 'generators.
the last inspection 165 indications were found during a
These   indications were removed         from service. Structural and leakage integrity were evaluated using         a computer code developed as part of an industry sponsored     EPRI   project. As described in a later section, this code makes   projections of end- of-cycle conditions -regarding degraded             cross sectional areas with   a procedure that essentially follows the method specified in NRC Generic Letter     95-05'or     bobbin probe voltages.
100%
Axial degradation at the top of the tubesheet in the sludge pile region was observed in the last inspection as well as several previous inspections.           The Monte Carlo simulation model applied to this circumstance is the same as that used for indications at lattice type tube support structures.         This model is summarized below.
RPC inspection (hot leg and cold leg) of this location in both steam 'generators.
1.2 IGA/ODSCC AT LATTICE SUPPORTS Axial corrosion degradation of tubing at tube support structures in ABB-CE steam generators is not     a new phenomena.       This degradation process has been active at a slow but steady rate at St. Lucie Unit             1 since the mid 1980's. Full bobbin probe eddy current inspections         have been performed over the past 9 cycles of operation.           Bobbin probe inspections have proven to be an effective tool for the management of corrosion degradation. Tubes with indications equal to or greater than the 40% through wall technical specification limit have been removed from service. The past performance of St. Lucie Unit     1 in terms of operational leakage has been excellent.       In situ testing of tubes with large bobbin voltages and large phase angle depth calls demonstrated that Regulatory Guide 1.121 margins were maintained during the last cycle of operation. The last cycle had a duration of 13.9 EFPM.
These indications were removed from service.
Aptech Engineering Services, Inc.                                     AES 96052749-1-1
Structural and leakage integrity were evaluated using a computer code developed as part of an industry sponsored EPRI project.
As described in a later section, this code makes projections of end-of-cycle conditions
-regarding degraded cross sectional areas with a procedure that essentially follows the method specified in NRC Generic Letter 95-05'or bobbin probe voltages.
Axial degradation at the top of the tubesheet in the sludge pile region was observed in the last inspection as well as several previous inspections.
The Monte Carlo simulation model applied to this circumstance is the same as that used for indications at lattice type tube support structures.
This model is summarized below.
1.2 IGA/ODSCC AT LATTICE SUPPORTS Axial corrosion degradation of tubing at tube support structures in ABB-CE steam generators is not a new phenomena.
This degradation process has been active at a slow but steady rate at St. Lucie Unit 1
since the mid 1980's.
Full bobbin probe eddy current inspections have been performed over the past 9 cycles of operation.
Bobbin probe inspections have proven to be an effective tool for the management of corrosion degradation.
Tubes with indications equal to or greater than the 40% through wall technical specification limit have been removed from service.
The past performance of St. Lucie Unit 1 in terms of operational leakage has been excellent.
In situ testing of tubes with large bobbin voltages and large phase angle depth calls demonstrated that Regulatory Guide 1.121 margins were maintained during the last cycle of operation.
The last cycle had a duration of 13.9 EFPM.
Aptech Engineering Services, Inc.
AES96052749-1-1


Structural and leakage integrity evaluations for axial degradation       at tube support structures were performed using       a Monte Carlo simulation model.
Structural and leakage integrity evaluations for axial degradation at tube support structures were performed using a Monte Carlo simulation model.
This model has been highly successful in previous applications '           ". The processes of crack initiation, crack growth and detection of degradation via eddy current inspections are simulated in the Monte Carlo model   ~   This model has been   updated to include depth sizing after degradation         is detected.
This model has been highly successful in previous applications '
Measurement     uncertainties are part of the simulation. For degradation   at support structures, bobbin probe probability of detection characteristics are applied as are bobbin depth call sizing errors. Cracks with a perceived size less than 40% of the wall thickness are left in service in the simulation. The true simulated depth versus perceived depth is tracked so that appropriate burst pressures and leak rates are calculated. Detected and undetected crack populations are explicitly calculated and followed from cycle to cycle.
The processes of crack initiation, crack growth and detection of degradation via eddy current inspections are simulated in the Monte Carlo model
1.3 IGA/ODSCC AT DRILLED SUPPORTS During the (EOC-13) outage, drilled support plate locations were inspected using an RPC probe.       All detected indications were removed from service.
~ This model has been updated to include depth sizing after degradation is detected.
Approximately 800 tubes total were plugged due to RPC indications in drilled support plate crevices. This number does not indicate a sudden surge in the indication population. The previously applied plugging criteria was based on bobbin probe depth sizing. The Monte Carlo simulation model of degradation of drilled support locations employed an RPC probability of detection curve coupled with a plug on detection repair criterion.
Measurement uncertainties are part of the simulation.
1.4 IGA/ODSCC AT FREESPAN LOCATIONS Bobbin indications and heightened concern for freespan degradation in the upper bundle, as experienced in similar steam generator designs', led to an increase in the RPC examination scope.       Approximately 13,000 tubes were Aptech Engineering Services, Inc.                                 AES96052749-1-1
For degradation at support structures, bobbin probe probability of detection characteristics are applied as are bobbin depth call sizing errors.
Cracks with a perceived size less than 40% of the wall thickness are left in service in the simulation.
The true simulated depth versus perceived depth is tracked so that appropriate burst pressures and leak rates are calculated.
Detected and undetected crack populations are explicitly calculated and followed from cycle to cycle.
1.3 IGA/ODSCC AT DRILLED SUPPORTS During the (EOC-13) outage, drilled support plate locations were inspected using an RPC probe.
All detected indications were removed from service.
Approximately 800 tubes total were plugged due to RPC indications in drilled support plate crevices.
This number does not indicate a sudden surge in the indication population.
The previously applied plugging criteria was based on bobbin probe depth sizing.
The Monte Carlo simulation model of degradation of drilled support locations employed an RPC probability of detection curve coupled with a plug on detection repair criterion.
1.4 IGA/ODSCC AT FREESPAN LOCATIONS Bobbin indications and heightened concern for freespan degradation in the upper bundle, as experienced in similar steam generator designs',
led to an increase in the RPC examination scope.
Approximately 13,000 tubes were Aptech Engineering Services, Inc.
AES96052749-1-1


examined via RPC in the upper bundle.         A total of 44 axial, non-volumetric freespan indications were removed from service.         This represents an early, mild incidence of freespan corrosion degradation.       In-situ pressure testing, during the EOC-13 refueling outage, demonstrated           that the most limiting freespan   indications exceeded     the structural requirements     of Regulatory Guide 1.121. The initiation, growth, MRPC detection and repair on detection Monte Carlo simulation model was applied to freespan degradation.           Hence, freespan indications and indications at drilled support plates were analyzed with the same type of simulation model.
examined via RPC in the upper bundle.
The probabilistic evaluations     of structural and leakage integrity of steam generator tubing at St. Lucie Unit     1 are the most sophisticated and complete run time analyses to date using a physically based approach.         The following sections of this report describe the models used in these evaluations, input f
A total of 44 axial, non-volumetric freespan indications were removed from service.
This represents an early, mild incidence of freespan corrosion degradation.
In-situ pressure
: testing, during the EOC-13 refueling outage, demonstrated that the most limiting freespan indications exceeded the structural requirements of Regulatory Guide 1.121.
The initiation, growth, MRPC detection and repair on detection Monte Carlo simulation model was applied to freespan degradation.
: Hence, freespan indications and indications at drilled support plates were analyzed with the same type of simulation model.
The probabilistic evaluations of structural and leakage integrity of steam generator tubing at St. Lucie Unit 1 are the most sophisticated and complete run time analyses to date using a physically based approach.
The following sections of this report describe the models used in these evaluations, input f
data, benchmarking'tudies and finally, the end results.
data, benchmarking'tudies and finally, the end results.
Aptech Engineering Services, Inc. 'ES96052749-1-1
Aptech Engineering Services, Inc.'ES96052749-1-1


SECTION 2 STRUCTURAL REQUIREMENTS AND GENERAL CONSIDERATIONS The focus     of probabilistic structural integrity and leakage           evaluations presented in subsequent       sections is on   a postulated main steam line break accident. This is consistent with a new draft Regulatory         Guide'n support of steam generator rule making. The appropriate limiting accident case pressure differential is 2500 psi for St. Lucie Unit 1.             Leakage   and bursting are evaluated at this loading severity.         The conditional probability of burst at postulated   accident conditions should not exceed             0.05 when all tube degradation   mechanisms       are considered.     The leak rate at a postulated accident event at end of cycle should not exceed the total charging pump capacity of the primary coolant system,             provided that radiological dose consequences     do not exceed General Design Criteria 19 and 10 CFR Part 100 guidelines at this leak rate.
SECTION 2 STRUCTURAL REQUIREMENTS AND GENERAL CONSIDERATIONS The focus of probabilistic structural integrity and leakage evaluations presented in subsequent sections is on a postulated main steam line break accident.
The following paragraphs describe the basis of structural integrity analyses for axial and     circumferential     degradation. Characterizations   of crack morphologies are presented.         Leak rate calculations are summarized.       These concepts form the framework of the probabilistic models used to project leak rate and burst behavior.
This is consistent with a new draft Regulatory Guide'n support of steam generator rule making.
2.1 AXIALDEGRADATION From the perspective of leak rate and burst strength calculations, all axial corrosion   degradation     is   idealized as   single   planar   cracks. This   is conservative in the sense that the strengthening and leak limiting effects of Aptech Engineering Services, Inc.                                     AES96052749-1-1
The appropriate limiting accident case pressure differential is 2500 psi for St.
Lucie Unit 1.
Leakage and bursting are evaluated at this loading severity.
The conditional probability of burst at postulated accident conditions should not exceed 0.05 when all tube degradation mechanisms are considered.
The leak rate at a postulated accident event at end of cycle should not exceed the total charging pump capacity of the primary coolant
: system, provided that radiological dose consequences do not exceed General Design Criteria 19 and 10 CFR Part 100 guidelines at this leak rate.
The following paragraphs describe the basis of structural integrity analyses for axial and circumferential degradation.
Characterizations of crack morphologies are presented.
Leak rate calculations are summarized.
These concepts form the framework of the probabilistic models used to project leak rate and burst behavior.
2.1 AXIALDEGRADATION From the perspective of leak rate and burst strength calculations, all axial corrosion degradation is idealized as single planar cracks.
This is conservative in the sense that the strengthening and leak limiting effects of Aptech Engineering Services, Inc.
AES96052749-1-1


ligaments between crack segments in crack arrays are neglected.           The entire spectrum of IGA/ODSCC degradation morphologies can be represented                   as arrays of axial and circumferential cracks of varying diffuseness.           Leak and burst calculations are based       on the single plariar crack extreme       of the spectrum of possible morphologies.       Only the ligaments in the depth direction are considered to provide strengthening and leak limiting effects.
ligaments between crack segments in crack arrays are neglected.
As in past APTECH models of axial cracking, the structural minimum method of computing the burst pressure associated           with an arbitrary crack depth profile is utilized. Figure 2.1 illustrates this approach using a triangular crack shape. A selected   portion of the total crack profile is first considered. The average crack depth over this selected length is calculated.         This length and associated     average depth is used as input to the Framatome axial partial through wall burst equation'.       Burst pressures for successively larger portions of the total crack profile are computed. There exists some section of the total profile with a minimum burst pressure.             The length of this critical section of the total crack is termed the structurally significant length and the average     depth   over the   structurally significant length     is termed   'he structurally significant depth.       Figure 2.1   illustrates the minimum burst pressure   calculation which identifies the critical section of the triangular crack profile. The dotted rectangle shows the structurally significant length and the associated structurally significant depth.
The entire spectrum of IGA/ODSCC degradation morphologies can be represented as arrays of axial and circumferential cracks of varying diffuseness.
Pulled tube burst data from Plant A first validated the structural minimum method and the use of the Framatome equation             ''. See Figure 2.2. Almost all calculated     burst pressures   are conservative     with respect to measured burst pressures.     This is mostly due to neglecting the strengthening effects of ligaments between axial crack segments and only considering ligamen'ts in the depth direction. Burst tests of laboratory specimens with EDM machined slots support this contention.         Figure 2.3 illustrates the machined       slots Aptech Engineering Services, Inc.                                     AES96052749-1-1
Leak and burst calculations are based on the single plariar crack extreme of the spectrum of possible morphologies.
Only the ligaments in the depth direction are considered to provide strengthening and leak limiting effects.
As in past APTECH models of axial cracking, the structural minimum method of computing the burst pressure associated with an arbitrary crack depth profile is utilized.
Figure 2.1 illustrates this approach using a triangular crack shape.
A selected portion of the total crack profile is first considered.
The average crack depth over this selected length is calculated.
This length and associated average depth is used as input to the Framatome axial partial through wall burst equation'.
Burst pressures for successively larger portions of the total crack profile are computed.
There exists some section of the total profile with a minimum burst pressure.
The length of this critical section of the total crack is termed the structurally significant length and the average depth over the structurally significant length is termed 'he structurally significant depth.
Figure 2.1 illustrates the minimum burst pressure calculation which identifies the critical section of the triangular crack profile.
The dotted rectangle shows the structurally significant length and the associated structurally significant depth.
Pulled tube burst data from Plant A first validated the structural minimum method and the use of the Framatome equation ''.
See Figure 2.2.
Almost all calculated burst pressures are conservative with respect to measured burst pressures.
This is mostly due to neglecting the strengthening effects of ligaments between axial crack segments and only considering ligamen'ts in the depth direction.
Burst tests of laboratory specimens with EDM machined slots support this contention.
Figure 2.3 illustrates the machined slots Aptech Engineering Services, Inc.
AES96052749-1-1


shapes. Figure 2.4 shows that use of the Framatome equation with the structural minimum method provides excellent predictions of actual burst behavior for long, deep cracks.     The predicted behavior of very short cracks is overly conservative.     A long crack is shown to be on the order of 1.5 inches. It is important to use the Framatome equation and the structural minimum method to characterize the behavior of long cracks which penetrate the wall.
shapes.
Figure 2.5 illustrates the relationship between       maximum crack depth and structurally significant depth for pulled tubes from Plant A.       The ratio of these depths together with the structural minimum method define a crack shape. In probabilistic analyses, crack shapes were obtained by sampling the pulled tube data of Plant A.         Tube examination reports and eddy current inspection data support the use of Plant A data in St. Lucie Unit   1 analyses.
Figure 2.4 shows that use of the Framatome equation with the structural minimum method provides excellent predictions of actual burst behavior for long, deep cracks.
Figure 2.6 shows that distributions of crack lengths needed for probabilistic analyses     of axial degradation can be obtained from MRPC eddy current results.     Data from Plant A, where destructive examinations verified structurally significant crack lengths, shows that the MRPC indicated lengths are   usually longer,     and   sometimes   much longer, than the structurally significant lengths. Hence, use of the distribution of MRPC crack lengths in probabilistic analyses of axial degradation is conservative. The MRPC crack lengths distribution is more adverse         than the distribution of structurally significant lengths.
The predicted behavior of very short cracks is overly conservative.
2.2 CIRCUMFERENTIAL DEGRADATION Circumferential degradation       is modeled as   cracking.'n computing burst pressures, the total degraded cross sectional area of the tube is assumed to be present in the form of a single through wall crack with an equivalent area.
A long crack is shown to be on the order of 1.5 inches.
Aptech Engineering Services, Inc.                                 AES96052749-1-1
It is important to use the Framatome equation and the structural minimum method to characterize the behavior of long cracks which penetrate the wall.
Figure 2.5 illustrates the relationship between maximum crack depth and structurally significant depth for pulled tubes from Plant A.
The ratio of these depths together with the structural minimum method define a crack shape.
In probabilistic analyses, crack shapes were obtained by sampling the pulled tube data of Plant A.
Tube examination reports and eddy current inspection data support the use of Plant A data in St. Lucie Unit 1 analyses.
Figure 2.6 shows that distributions of crack lengths needed for probabilistic analyses of axial degradation can be obtained from MRPC eddy current results.
Data from Plant A,
where destructive examinations verified structurally significant crack lengths, shows that the MRPC indicated lengths are usually
: longer, and sometimes much
: longer, than the structurally significant lengths.
Hence, use of the distribution of MRPC crack lengths in probabilistic analyses of axial degradation is conservative.
The MRPC crack lengths distribution is more adverse than the distribution of structurally significant lengths.
2.2 CIRCUMFERENTIALDEGRADATION Circumferential degradation is modeled as cracking.'n computing burst pressures, the total degraded cross sectional area of the tube is assumed to be present in the form of a single through wall crack with an equivalent area.
Aptech Engineering Services, Inc.
AES96052749-1-1


This morphology leads to a maximum bending effect and a lower bound burst pressure.     There are several burst pressure equations for tubing containing circumferential cracks'.       All are some version of plastic collapse or limit load approaches.         There   are   relatively small differences     in burst pressure predictions since the various equations agree well with test data.           Results of a plastic zone instability analysis are illustrated in Figure 2.7. At postulated accident conditions, approximately 80% of the tube cross sectional may be degraded     without   a   tube burst.       At this loading level, in plane crack morphology and bending effects are relatively unimportant and the burst pressure is simply based on the resultant axial load, the net area of the cross section and the average           flow strength of the material.         One area   of conservatism       is the neglect of the strengthening         effects of out-of-plane ligaments.       These ligaments between out-of-plane crack segments               must rupture in   a burst event.
This morphology leads to a maximum bending effect and a lower bound burst pressure.
With regard to leakage, the degraded cross sectional area is apportioned to an array of through wall cracks in a manner which maximizes the leak rate for   a given level of degraded area.         For leak rate calculation purposes, crack array morphologies         are   selected   according   to the following procedures developed       as part of the industry-wide EPRI program on circumferential cracking. Examination of 37 pulled tube profiles shows that circumferential degradation can be effectively modeled as several depth crack segments with a   shallower degradation background.           The number of deep crack segments ranges from 0 to 4:         There is approximately a 2% chance of either 0 or 4 deep crack segments           and a 32% chance of either 1, 2 or 3 deep crack segments.       The circumferential arc length of the deep crack segments             is selected from a Weibull distribution of deep crack segment lengths.                 This Weibull distribution has been constructed from a combination of pulled tube destructive examination data and field call phase angle crack profiles of explosive expansion transitions.
There are several burst pressure equations for tubing containing circumferential cracks'.
Aptech Engineering Services, Inc.                                       AES96052749-1-1
All are some version of plastic collapse or limit load approaches.
There are relatively small differences in burst pressure predictions since the various equations agree well with test data.
Results of a plastic zone instability analysis are illustrated in Figure 2.7.
At postulated accident conditions, approximately 80% of the tube cross sectional may be degraded without a tube burst.
At this loading
: level, in plane crack morphology and bending effects are relatively unimportant and the burst pressure is simply based on the resultant axial load, the net area of the cross section and the average flow strength of the material.
One area of conservatism is the neglect of the strengthening effects of out-of-plane ligaments.
These ligaments between out-of-plane crack segments must rupture in a burst event.
With regard to leakage, the degraded cross sectional area is apportioned to an array of through wall cracks in a manner which maximizes the leak rate for a given level of degraded area.
For leak rate calculation purposes, crack array morphologies are selected according to the following procedures developed as part of the industry-wide EPRI program on circumferential cracking.
Examination of 37 pulled tube profiles shows that circumferential degradation can be effectively modeled as several depth crack segments with a shallower degradation background.
The number of deep crack segments ranges from 0 to 4:
There is approximately a 2% chance of either 0 or 4 deep crack segments and a 32% chance of either 1, 2 or 3 deep crack segments.
The circumferential arc length of the deep crack segments is selected from a Weibull distribution of deep crack segment lengths.
This Weibull distribution has been constructed from a combination of pulled tube destructive examination data and field call phase angle crack profiles of explosive expansion transitions.
Aptech Engineering Services, Inc.
AES96052749-1-1


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CALCULATEDBURST PRESSURE VERSUS LENGTH OF CENTRAL CRACK SECTION e
Figure 2.'I ILLVSTRATIONOF THE STRVCTVRALMINIMVMMETHOD Aptech Engineering Services, Inc.
AES96062749-1-1


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AES96052749-1-1


Figure 2.3 CRACK SHAPES (NCLUDED lN TEST PROGRAM Aptech Engineering Services, Inc.                   AES96052749-1-1 11
Figure 2.3 CRACK SHAPES (NCLUDED lN TEST PROGRAM Aptech Engineering Services, Inc.
11 AES96052749-1-1


10000 9000 STRUCTURAL MINIMUM METHOD 8000                    FRAMATOME EQUATION 8000 5000
10000 9000 8000 STRUCTURAL MINIMUM METHOD FRAMATOMEEQUATION 8000 5000
        .t"-                                                         SHORT CRACKS mdo a~
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3000 2000 LONG CRACKS 1S'OOO 0   1000   2000 3000 4000         5000 6000 7000 NOO   GDDO 10000 MEASURED BURST PRESSURE, PSl Figure 2.4 RESULTS OF EDM SLOT MACHINED SAMPLE BURST TEST PROGRAM Aptech Engineering Services, inc.                                     AES96052749-1 -1 12
mdo SHORT CRACKS a~
3000 2000 LONG CRACKS 1S'OOO 0
1000 2000 3000 4000 5000 6000 7000 NOO GDDO 10000 MEASURED BURST PRESSURE, PSl Figure 2.4 RESULTS OF EDM SLOT MACHINED SAMPLE BURST TEST PROGRAM Aptech Engineering Services, inc.
12 AES96052749-1 -1


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0 0       0.1   04       0.3 '.4     L5   06      0.7   0.8   0.9 AVERAGE DEPTHS, FRACTLON THROUGH WALL.
0 0
Figure 2.5 MAXtMUMCRACK DEPTH VERSUS STRUCTURAL CRACK DEPTH, PLANT A PULLED TUBE DATA Aptech Engineering Services, Inc.                           AES96052749-i -1 13
0 0
0 a.4 O
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0 0
0.1 04 0.3
'.4 L5 0 6 0.7 0.8 0.9 AVERAGEDEPTHS, FRACTLONTHROUGH WALL.
Figure 2.5 MAXtMUMCRACK DEPTH VERSUS STRUCTURAL CRACK DEPTH, PLANT A PULLED TUBE DATA Aptech Engineering Services, Inc.
13 AES96052749-i -1


2.50 N
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~a~~~y SfanfPJQ+ffj QUACKLEHGTH>INCHES Figure 2.6 RPC CRACK LENGTH VERSUS STRUCTURALLYSiGNiFiCANT CRACK LENGTH, PLANT A PULLED TUBE DATA Aptech Engineering Services, Inc.
                      ~a~~~y SfanfPJQ+ffj QUACK  LEHGTH> INCHES Figure 2.6 RPC CRACK LENGTH VERSUS STRUCTURALLY SiGNiFiCANT CRACK LENGTH, PLANT A PULLED TUBE DATA Aptech Engineering Services, Inc.                     AES96052749-1-7
AES96052749-1-7


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SECTION 3 ANALYSIS INPUT PARAMETERS Input parameters       to probabilistic evaluations of structural and leakage integrity are presented in this section. The distribution of strength properties is not a major issue.     These properties are remarkably similar across a broad range of steam generator designs.       Degradation length distributions are based on plant specific data from St. Lucie Unit 1and agree well with observations at other units '   ~   The analysis inputs which have the most effect on burst and leakage probabilities are the degradation growth rates and the efficacy of NDE inspection procedures         both with respect to detection capability and depth sizing uncertainty. Attention is focused on these most important input elements.
SECTION 3 ANALYSIS INPUT PARAMETERS Input parameters to probabilistic evaluations of structural and leakage integrity are presented in this section.
3.1 TUBING MECHANICALPROPERTIES A histogram of the sum of yield and ultimate strengths for tubing in Plant B is shown in Figure 3.1'c. This plant is essentially a sister plant to St. Lucie Unit 1. The tubing is the same size and the processing           procedures   are equivalent. Use of Plant B data for St. Lucie Unit   1 is appropriate. As noted above, strength distributions are similar even for plants of different designs and vendors.       In particular,   lower tolerance limit properties are nearly equivalent even for different heat treatment procedures.         This includes high temperature     and     low temperature mill annealed,     thermally treated   and sensitized tubing.
The distribution of strength properties is not a major issue.
3.2     DEGRADATION LENGTH DISTRIBUTION The concept     of structurally significant crack lengths and depths         was discussed   in section 2.     It has been shown that the distribution of axial Aptech fngineering Services, Inc.                                 AfS96052749-1-1 16
These properties are remarkably similar across a broad range of steam generator designs.
Degradation length distributions are based on plant specific data from St. Lucie Unit 1and agree well with observations at other units '
~
The analysis inputs which have the most effect on burst and leakage probabilities are the degradation growth rates and the efficacy of NDE inspection procedures both with respect to detection capability and depth sizing uncertainty.
Attention is focused on these most important input elements.
3.1 TUBING MECHANICALPROPERTIES A histogram of the sum of yield and ultimate strengths for tubing in Plant B is shown in Figure 3.1'c.
This plant is essentially a sister plant to St. Lucie Unit 1.
The tubing is the same size and the processing procedures are equivalent.
Use of Plant B data for St. Lucie Unit 1 is appropriate.
As noted above, strength distributions are similar even for plants of different designs and vendors.
In particular, lower tolerance limit properties are nearly equivalent even for different heat treatment procedures.
This includes high temperature and low temperature mill annealed, thermally treated and sensitized tubing.
3.2 DEGRADATION LENGTH DISTRIBUTION The concept of structurally significant crack lengths and depths was discussed in section 2.
It has been shown that the distribution of axial Aptech fngineering Services, Inc.
16 AfS96052749-1-1


OCT. 1S. 1996   2: 88'O.S63                                                                 '.2 degradation lengths from RPC eddy current data is a good to conservative estimate of the distribution of structurally significant degradation lengths.
OCT. 1S. 1996 2:88 O.S63
When whole data         sets   are   considered   rather than selected   individual indications, the portions of actual physical degradation not detected by the RPC probe are     not structurally significant. Over 200 RPC characterizations of axial degradation lengths at the last outage of St. Lucie Unit 1 were used to construct the sampling distribution for structurally significant lengths.
'.2 degradation lengths from RPC eddy current data is a good to conservative estimate of the distribution of structurally significant degradation lengths.
When whole data sets are considered rather than selected individual indications, the portions of actual physical degradation not detected by the RPC probe are not structurally significant.
Over 200 RPC characterizations of axial degradation lengths at the last outage of St. Lucie Unit 1 were used to construct the sampling distribution for structurally significant lengths.
This distribution is illustrated in Figure 3.2.
This distribution is illustrated in Figure 3.2.
3.3 PROBASlLITY OF DETECTION AND SIZING ACCURACY ln the present evaluation, the issue of sizing uncertainty is pertinent to axial degradation at lattice type tube support locations and in the sludge pile.
3.3 PROBASlLITYOF DETECTION AND SIZING ACCURACY ln the present evaluation, the issue of sizing uncertainty is pertinent to axial degradation at lattice type tube support locations and in the sludge pile.
Here probabiiistic modeling is conducted           with a plug on sizing   criterion.
Here probabiiistic modeling is conducted with a plug on sizing criterion.
indications with bobbin probe depth calls equal to or greater than 40% of the wall thickness are removed from service. The true degradation depth may be greater or less than the measured           or perceived depth. Since burst and leakage   properties   depend     on   the true depth       of degradation,   sizing uncertainties must be properly considered.
indications with bobbin probe depth calls equal to or greater than 40% of the wall thickness are removed from service.
Florida Power and Light has compiled bobbin probe sizing data from pulled tubes and some laboratory produced corrosion degraded tubes.               Data from tubes removed from St. Lucia Unit             1 are included. Figures 3.3 and 3,4 illustrate a comparison of axial corrosion degradation depth from bobbin probe phase angle data versus maximum degradation depth determined from destructive examination.       Figure 3.3 deals with sludge pile and lattice type crevice degradation while Figure 3.4 is devoted to axial degradatfon at drilled tube support crevices.       From Figure 3.3 it is evident that, in general, the bobbin probe underestimates           the maximum depth of degradation.               An indicated depth is about 0.86 of the actual maximum degradation depth.               For axial degradation in the sludge pile and at lattice type support structures, the Aptech Engineering Services, inc.                                     AES96052749-1 -'I 17
The true degradation depth may be greater or less than the measured or perceived depth.
Since burst and leakage properties depend on the true depth of degradation, sizing uncertainties must be properly considered.
Florida Power and Light has compiled bobbin probe sizing data from pulled tubes and some laboratory produced corrosion degraded tubes.
Data from tubes removed from St. Lucia Unit 1
are included.
Figures 3.3 and 3,4 illustrate a comparison of axial corrosion degradation depth from bobbin probe phase angle data versus maximum degradation depth determined from destructive examination.
Figure 3.3 deals with sludge pile and lattice type crevice degradation while Figure 3.4 is devoted to axial degradatfon at drilled tube support crevices.
From Figure 3.3 it is evident that, in general, the bobbin probe underestimates the maximum depth of degradation.
An indicated depth is about 0.86 of the actual maximum degradation depth.
For axial degradation in the sludge pile and at lattice type support structures, the Aptech Engineering Services, inc.
17 AES96052749-1 -'I


OCT. 15. 1996   2: 89PN                                                       N0.863     P.3 standard   error of estimate of actual maximum depth from bobbin probe measured depth is slightly less than 11% of the wall thickness. It should be noted than one point was deleted from the database where the bobbin depth call grossly over-estimated the actual maximum depth and was considered to be an outlier. Systematic and random bobbin probe sizing errors have been identified and included in probabilistic modeling.
OCT. 15. 1996 2: 89PN N0.863 P.3 standard error of estimate of actual maximum depth from bobbin probe measured depth is slightly less than 11% of the wall thickness.
The data in Figure 3.4 can be used to construct a curve of the probability of detection of axial corrosion de gradation as a function of maximum degradation depth. Note the number of points where there is no indication of a bobbin probe depth call but a plotted actual maximum depth.                   These instances of degradation were undetected by the bobbin probe. This data together with the detected instances of degradation can be used to construct a curve or probability of detection versus degradation depth.       In Figure   3.5, detected degradation is plotted at an ordinate value of       1 while a value of 0 represents   undetected   degradation. In this figure, data from laboratory samples are excluded as are four instances of cold leg degradation and two low level (13% and 19%i Instances of degradatlon detected by the bobbin probe.
It should be noted than one point was deleted from the database where the bobbin depth call grossly over-estimated the actual maximum depth and was considered to be an outlier.
A log logistic fit to the data is shown in Figure 3.5. Cauchy, Gauss and Weibull fits were examined. The log logistic fit was selected as the best representation of the probability of detection versus depth.             Use of the logarithm of degradation         depth is physically realistic. For corrosion degradation, signal amplitude is insensitive to depth at very low depths but highly sensitive at large depths. The actual curve of probability of detection for the bobbin prove which was used in calculations is shown in Figure 3.6 As a measure of conservatism, all detected bobbin indications less than 40%
Systematic and random bobbin probe sizing errors have been identified and included in probabilistic modeling.
in actual depth were eliminated and a new log logistic fit to the data was obtained.     The resultant probability of detection curve is shifted to higher Aptech Engineering Services, inc.                                 AESS 6062749-1-1
The data in Figure 3.4 can be used to construct a curve of the probability of detection of axial corrosion de gradation as a
function of maximum degradation depth.
Note the number of points where there is no indication of a bobbin probe depth call but a plotted actual maximum depth.
These instances of degradation were undetected by the bobbin probe.
This data together with the detected instances of degradation can be used to construct a curve or probability of detection versus degradation depth.
In Figure 3.5, detected degradation is plotted at an ordinate value of 1 while a value of 0 represents undetected degradation.
In this figure, data from laboratory samples are excluded as are four instances of cold leg degradation and two low level (13% and 19%i Instances of degradatlon detected by the bobbin probe.
A log logistic fit to the data is shown in Figure 3.5.
: Cauchy, Gauss and Weibull fits were examined.
The log logistic fit was selected as the best representation of the probability of detection versus depth.
Use of the logarithm of degradation depth is physically realistic.
For corrosion degradation, signal amplitude is insensitive to depth at very low depths but highly sensitive at large depths.
The actual curve of probability of detection for the bobbin prove which was used in calculations is shown in Figure 3.6 As a measure of conservatism, all detected bobbin indications less than 40%
in actual depth were eliminated and a new log logistic fit to the data was obtained.
The resultant probability of detection curve is shifted to higher Aptech Engineering Services, inc.
AESS 6062749-1-1


OCT. 15. 1996   2: 89PN                                                         N0.863     P.4 levels of degradation.       At   a degradation depth of 40%, the probability of detection drops from about 0.62 to about0.42.
OCT. 15. 1996 2: 89PN N0.863 P.4 levels of degradation.
In the case     of axial degradation       at freespan and drilled tube support locations, RPC inspections were simulated in the probabilistic model. A probability of detection curve determined from pulled tube data from Plant A was used in these calculations.           This curve is shown in Figure 3.7.     The abcissa is the structurally significant degradation depth. The maximum depth is higher by a factor of approximately 1.27. The RPC probability of detection curve is viewed as conservative.         It is more adverse than the industry wide curve of Reference       2. Differences in tubing manufacturing       processes indicate that detection of freespan degradation at St. Lucie Unit         1   may be somewhat less difficult than in Plant A. A supporting fact ls that the bobbin probe at both St. Lucie Unit       1 and Plant B detected nearly half of the RPC freespan indications. The hit rate of the bobbin probe versus RPC results at h
At a degradation depth of 40%, the probability of detection drops from about 0.62 to about0.42.
In the case of axial degradation at freespan and drilled tube support locations, RPC inspections were simulated in the probabilistic model.
A probability of detection curve determined from pulled tube data from Plant A was used in these calculations.
This curve is shown in Figure 3.7.
The abcissa is the structurally significant degradation depth.
The maximum depth is higher by a factor of approximately 1.27.
The RPC probability of detection curve is viewed as conservative.
It is more adverse than the industry wide curve of Reference 2.
Differences in tubing manufacturing processes indicate that detection of freespan degradation at St. Lucie Unit 1 may be somewhat less difficultthan in Plant A. A supporting fact ls that the bobbin probe at both St. Lucie Unit 1 and Plant B detected nearly half of the RPC freespan indications.
The hit rate of the bobbin probe versus RPC results at h
Plant A is significantly lower.
Plant A is significantly lower.
3A DEGRADATlON GROWTH                 RATES Growth of degradation         for circumferential cracking was characterized       in terms of changes in the percentage degraded cross sectional area.           The EPRI C
3A DEGRADATlON GROWTH RATES Growth of degradation for circumferential cracking was characterized in terms of changes in the percentage degraded cross sectional area.
sizing approach,was         used   for determining degradation     depth at many locations around the circumference of a degraded tube.           Degradation depth versus circumferential location was converted to total degraded             area and expressed as a percentage of tubing annular cross sectional area.
The EPRI C
Circumferential indications detected by RPC inspections ln the recent outage were sized and records were searched for precursor signals in the previous outage.     Approximately 160 growth data points were obtained.                 The resulting distributions of growth rates are illustrated in Figure 3.8. The cumulative fraction of observations is plotted versus growth rate for steam Aptech Engineering Services, inc.                                   AES96052749-1-1
sizing approach,was used for determining degradation depth at many locations around the circumference of a degraded tube.
                                                    .19
Degradation depth versus circumferential location was converted to total degraded area and expressed as a percentage of tubing annular cross sectional area.
Circumferential indications detected by RPC inspections ln the recent outage were sized and records were searched for precursor signals in the previous outage.
Approximately 160 growth data points were obtained.
The resulting distributions of growth rates are illustrated in Figure 3.8.
The cumulative fraction of observations is plotted versus growth rate for steam Aptech Engineering Services, inc.
.19 AES96052749-1-1


OCT. 15. 1996     2:                                                             863   P. 5 generator A and B at St. Lucia Unit     i. Data from Plant B is also plotted for comparison.
OCT. 15. 1996 2:18 O.
lt should   be noted that sizing of circumferential cracks in explosive expansion transitions is not as difficult as sizing of circumferential cracks in hard roll transitions.     Explosive expansions     have a more gradual transition from expanded to unexpanded regions.       Comparisons of measured degraded areas from RPC data with destructive examination results for explosive expansion transition are reasonably good.         These comparisons     are much better for explosive transitions than for hard roll transitions.
863 P. 5 generator A and B at St. Lucia Unit i.
For axial degradation,     a plug on sizing approach with bobbin probe eddy current inspections led to an extensive set of growth data. Stringent location criteria were applied to make certain that the same indication was compared from one outage to the next. Over 2300 pairs on bobbin depth growth pairs were used to construct an apparent growth rate distribution.
Data from Plant B is also plotted for comparison.
A histogram of bobbin depth growth rates is shown in Figure 3.9. The global average apparent growth is slightly below 1%.           This indicates that sizing error is a major contributor to the apparent growth rates. The average of the positive growth rates is about 4.6% through wail per effective power year.
lt should be noted that sizing of circumferential cracks in explosive expansion transitions is not as difficult as sizing of circumferential cracks in hard roll transitions.
The   maximum     apparent     growth rate is 35%     EFPY. ln probabilistlc evaluations, negative growth rates were considered as zero growth.             The growth rate data was then sampled directly.
Explosive expansions have a
For any given growth rate data point, the true growth rate may be larger or smaller than the apparent growth rate be'cause of sizing errors.         However, when a large population or distribution of growth rates is considered, measurement errors must increase both the high and low extreme tails of the measured     or apparent     growth rates compared to the extremes         of the Aptech Engineering Services, Inc,                                 AES86052748-)-1 20
more gradual transition from expanded to unexpanded regions.
Comparisons of measured degraded areas from RPC data with destructive examination results for explosive expansion transition are reasonably good.
These comparisons are much better for explosive transitions than for hard roll transitions.
For axial degradation, a plug on sizing approach with bobbin probe eddy current inspections led to an extensive set of growth data.
Stringent location criteria were applied to make certain that the same indication was compared from one outage to the next.
Over 2300 pairs on bobbin depth growth pairs were used to construct an apparent growth rate distribution.
A histogram of bobbin depth growth rates is shown in Figure 3.9.
The global average apparent growth is slightly below 1%.
This indicates that sizing error is a major contributor to the apparent growth rates.
The average of the positive growth rates is about 4.6% through wail per effective power year.
The maximum apparent growth rate is 35%
EFPY.
ln probabilistlc evaluations, negative growth rates were considered as zero growth.
The growth rate data was then sampled directly.
For any given growth rate data point, the true growth rate may be larger or smaller than the apparent growth rate be'cause of sizing errors.
: However, when a
large population or distribution of growth rates is considered, measurement errors must increase both the high and low extreme tails of the measured or apparent growth rates compared to the extremes of the Aptech Engineering Services, Inc, 20 AES86052748-)-1


OCT. 15. 1996,   2: 18PN                                                 N0.863   P.6 distribution of true growth rates. In the present case of a very large number of data points, the apparent growth rates, used as described above, provide a conservative estimate of true degradation growth.
OCT. 15. 1996, 2: 18PN N0.863 P.6 distribution of true growth rates.
Aptech Engineering Services, Inc.                             AES96062749-1-1
In the present case of a very large number of data points, the apparent growth rates, used as described above, provide a conservative estimate of true degradation growth.
Aptech Engineering Services, Inc.
AES96062749-1-1


PLANT B SG A = SG B 1800 1600 1400 1200 m
1800 PLANT B SG A = SG B 1600 1400 1200 m
  'f000 g
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22 AES96052749-1-1


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OCT. 15. 1996     2: 18PM                                               N0.863     P.7 APPROPRIATE FOR AXIALINDICATIONS SLUDGE PILE, AND LATTICE TYPE TUBE SUPPORT LOCATIONS 80 70 Cl LU O
OCT. 15. 1996 2: 18PM N0.863 P.7 APPROPRIATE FOR AXIALINDICATIONS SLUDGE PILE, AND LATTICETYPE TUBE SUPPORT LOCATIONS 80 70 Cl LU O
K m
K mmOm 10 0
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0 10 20 a0 40
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0       10 . 20   a0   40     ~     tt0                   100 IHAXIMUNICRACK DEPTH, % THROUGH WAM DESTRUCTIVE EXAMINATION FI8ure 3 3 BOBBIN PROBE DEPTH CALLS VERSUS MAXIMUM DEPTH DESTRUCTIVE EXAMINATIONRESULTS (FPL SIZING PROCEDURES APPLIED)
tt0 100 IHAXIMUNICRACK DEPTH, % THROUGH WAM DESTRUCTIVE EXAMINATION FI8ure 3 3 BOBBIN PROBE DEPTH CALLS VERSUS MAXIMUM DEPTH DESTRUCTIVE EXAMINATIONRESULTS (FPL SIZING PROCEDURES APPLIED)
Aptech Englneerlng Services, inc.                           AES99062749-1-1 24
Aptech Englneerlng Services, inc.
24 AES99062749-1-1


OCT. 15. 1996     2: iiPM                                                                 H0.863   , P.8 EPRl Bobbin Coll QualNoatkm for ODSCC at OrNed Suyyatt Ptatca FPL Slalng Technique'(exotudaa NQl calla)
OCT. 15. 1996 2: iiPM H0.863 P.8 EPRl Bobbin Coll QualNoatkm forODSCC at OrNed Suyyatt Ptatca FPL Slalng Technique'(exotudaa NQlcalla)
              ~
~
Ol-30 0,       10 Maximum Crack Depth, % Through Wall Destructive Examination DEPTH Figure 3.4 BOBBIN DEPTH CALLS VERSUS NIAXINIUM SUPPORT      PLATES DESTRUCTIVE EXAMINATIONRESULTS, DRILLED TUBE AES96052749-1-1 Aptech Engineering Services, Inc.
Ol-30 0,
10 Maximum Crack Depth, % Through Wall Destructive Examination Figure 3.4 BOBBIN DEPTH CALLS VERSUS NIAXINIUMDEPTH DESTRUCTIVE EXAMINATIONRESULTS, DRILLED TUBE SUPPORT PLATES Aptech Engineering Services, Inc.
AES96052749-1-1


CO O
COO OA 0
OA 0
0 10 20 30 40 50 50 70 50 10 100 MAX!RIMCRACKDEPTH,% THROUGH lVALL Figure 3.5 BOBBIN PROBE LOG LOGISTIC PROBABILITYOF DETECTION CURVE BASED ON PULLED TUBE DATA Aptech Engineering Services, Inc.
0     10   20       30     40     50       50       70 50     10   100 MAX!RIMCRACK DEPTH,% THROUGH lVALL Figure 3.5 BOBBIN PROBE LOG LOGISTIC PROBABILITY OF DETECTION CURVE BASED ON PULLED TUBE DATA Aptech Engineering Services, Inc.                                     AES96052749-1-1 26
26 AES96052749-1-1


0$
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0 30 40 50 60 70 M
        ~
QO 100 KNQQUMCRAClC DEPTH, /o THROUGHWALL
Figure 3.6 BOBBIN PROBE LOG LOGISTIC PROBABILITY OF DETECTION
~
                ~
~
CURVE USED IN PROBABILISITC EVALUATIONS. INSTANCES OF BOBBIN PROBE DETECTED DEGRADATION LESS THAN 40% EXCLUDED Aptech Engineering Services, Inc.                               AES96052749 1 1 27
Figure 3.6 BOBBIN PROBE LOG LOGISTIC PROBABILITYOF DETECTION CURVE USED IN PROBABILISITC EVALUATIONS. INSTANCES OF BOBBIN PROBE DETECTED DEGRADATION LESS THAN 40% EXCLUDED Aptech Engineering Services, Inc.
27 AES96052749 1
1


MRPC PROBABILITYOF DETECTION llERS US AXIALCRACK DEPTH PLANT A PULLED TUBE DATABASE 0.1 0
MRPC PROBABILITYOF DETECTION llERSUS AXIALCRACKDEPTH PLANTA PULLED TUBE DATABASE 0.1 0
0   10     20     37     40     50     M         70     80 NI   100 slRUQIURALAYERAQEcRAcK Dspnl'/i IRRODQH wAlL Figure   3.7   RPC PROBABlLITY OF DETECTlON CURVE BASED ON PLANT A PULLED TUBE DATA Aptech Engineering Services, inc.                                     AES96052749-1-1 28
0 10 20 37 40 50 M
70 80 NI 100 slRUQIURALAYERAQEcRAcKDspnl'/i IRRODQHwAlL Figure 3.7 RPC PROBABlLITYOF DETECTlON CURVE BASED ON PLANT A PULLED TUBE DATA Aptech Engineering Services, inc.
28 AES96052749-1-1


ST. LUCIE UNIT 1                     'X X mS/G A 4    X 4                      +- PLANT B 0.9 S/G Bw        x             g 4  x 4    X 4X 0.8
0.9 ST. LUCIE UNIT 1 4
                            '44 0.7 OX CO                    o 0
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15                           30 DELTA PDA/EFPY Figure 3.8 CHANGE lN PERCENT DEGRADED ClRCUMFERENTlAL AREA PER EFPY Aptech Engineering Services, Inc.                             AES9 6052749-1-1 29
g 0.8 CO 0
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15 DELTAPDA/EFPY 30 Figure 3.8 CHANGE lN PERCENT DEGRADED ClRCUMFERENTlALAREA PER EFPY Aptech Engineering Services, Inc.
29 AES9 6052749-1-1


400 300 250 Q
400 300 250 Q
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GROWTH RATE, % THROUGH WALUEFPY Figure 3.9 AXIALDEGRADATION GROWTH RATES FROM BOBBIN INDICATIONS AT ST. LUCIE UNIT 1 Aptech Engineering Services, Inc.                         AES96052749-1-1 30
co N
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GROWTH RATE, % THROUGH WALUEFPY Figure 3.9 AXIALDEGRADATION GROWTH RATES FROM BOBBIN INDICATIONSAT ST. LUCIE UNIT 1 Aptech Engineering Services, Inc.
30 AES96052749-1-1


SECTION 4 PROBABILISTIC MODELS Three variants of probabilistic structural and leakage integrity models were used in the overall evaluation of the significance of corrosion degradation in steam generator tubing at St. Lucie Unit 1. These models are:
SECTION 4 PROBABILISTIC MODELS Three variants of probabilistic structural and leakage integrity models were used in the overall evaluation of the significance of corrosion degradation in steam generator tubing at St. Lucie Unit 1. These models are:
        ~   circumferential degradation, MRPC inspection, repair on detection
~
        ~   axial degradation, MRPC inspection, repair on detection
circumferential degradation, MRPC inspection, repair on detection
        ~   axial degradation, bobbin probe inspection, repair on sizing Each of these models is described in turn in the following subsections.
~
4.1 CIRCUMFERENTIAL CRACKING For burst evaluations,     circumferential degradation is modeled   as a single planar crack. The characterizing parameter is degraded area expressed as a percentage of the cross sectional area of the tube, PDA. Projections of end of cycle conditions regarding number of degraded tubes and the severity of degradation, PDA, are patterned after NRC Generic Letter 95-05. Instead of projected end of cycle bobbin voltages, PDA values are projected.
axial degradation, MRPC inspection, repair on detection
Details of the method of projection are as follows.         The probability of detection is a constant value of 0.6.         The number of degraded tubes at beginning of cycle with a given PDA is given by:
~
NEOC   NLAST (il
axial degradation, bobbin probe inspection, repair on sizing Each of these models is described in turn in the following subsections.
[ )
4.1 CIRCUMFERENTIALCRACKING For burst evaluations, circumferential degradation is modeled as a single planar crack.
10.6)
The characterizing parameter is degraded area expressed as a percentage of the cross sectional area of the tube, PDA.
                                                  - NREP Aptech Engineering Services, Inc.                               AES 96052749-1-1 31
Projections of end of cycle conditions regarding number of degraded tubes and the severity of degradation, PDA, are patterned after NRC Generic Letter 95-05.
Instead of projected end of cycle bobbin voltages, PDA values are projected.
Details of the method of projection are as follows.
The probability of detection is a constant value of 0.6.
The number of degraded tubes at beginning of cycle with a given PDA is given by:
(il NEOC NLAST [
)
- NREP 10.6)
Aptech Engineering Services, Inc.
31 AES96052749-1-1


where NL>> is the number of tubes found in the last inspection at the PDA value of interest and     Nssp is the number repaired. With a plug on detection repair criterion, N is equal to N~>>. The beginning of cycle PDA is adjusted for random measurement error and         a random growth increment is added to determine   the severity of degradation       at end of cycle. Monte Carlo simulation is used.       A lower bound burst curve is used as described in Section 2. Naturally, variations in tensile properties are included. Growth rates are sampled directly from as measured         growth rate data. Negative growth rates are included as zero growth rates.
where NL>> is the number of tubes found in the last inspection at the PDA value of interest and Nssp is the number repaired.
At a given PDA value, a wide variety of crack morphologies are possible.
With a plug on detection repair criterion, N is equal to N~>>. The beginning of cycle PDA is adjusted for random measurement error and a random growth increment is added to determine the severity of degradation at end of cycle.
Leak rates depend sensitively on the actual crack morphology.         It is totally unrealistic to assign the total degraded area to a single through wall crack.
Monte Carlo simulation is used.
A lower bound burst curve is used as described in Section 2.
Naturally, variations in tensile properties are included.
Growth rates are sampled directly from as measured growth rate data.
Negative growth rates are included as zero growth rates.
At a given PDA value, a wide variety of crack morphologies are possible.
Leak rates depend sensitively on the actual crack morphology.
It is totally unrealistic to assign the total degraded area to a single through wall crack.
The very large degradation tolerance for circumferential cracking would lead to huge leak rates if this bounding assumption were uniformly applied.
The very large degradation tolerance for circumferential cracking would lead to huge leak rates if this bounding assumption were uniformly applied.
Instead, as described in Section 2, the degraded area is apportion to an array of cracks. These crack arrays are developed from a Monte Carlo sampling process based on pulled tube actual crack profiles.         The sampling process allows for both occasional very large single through wall cracks and very large axisymetric non-leaking cracks. Within a given crack array, the total degraded area is apportioned to produce the largest total leak rate per tube.
: Instead, as described in Section 2, the degraded area is apportion to an array of cracks.
The final analysis produces an EOC cycle distribution of leak rates.             The upper bound 95 percentile leak rate is selected as the characterizing value.
These crack arrays are developed from a Monte Carlo sampling process based on pulled tube actual crack profiles.
The computer code used for the analysis of circumferential degradation is termed CIRC95.       It was developed jointly by Westinghouse and APTECH as part of an industry-wide program on circumferential cracking at expansion transitions.
The sampling process allows for both occasional very large single through wall cracks and very large axisymetric non-leaking cracks.
Aptech Engineering Services, Inc.                                 AES96052749-1-1 32
Within a given crack array, the total degraded area is apportioned to produce the largest total leak rate per tube.
The final analysis produces an EOC cycle distribution of leak rates.
The upper bound 95 percentile leak rate is selected as the characterizing value.
The computer code used for the analysis of circumferential degradation is termed CIRC95.
It was developed jointly by Westinghouse and APTECH as part of an industry-wide program on circumferential cracking at expansion transitions.
Aptech Engineering Services, Inc.
32 AES96052749-1-1


4.2   AXIALCRACKING WITH REPAIR ON DETECTION The probabilistic model for axial cracking with repair on detection is a slightly modified version of the APTECH model used for the Plant A analyses of IGA/ODSCC at freespan locations. The probabilistic model consists of a Monte Carlo simulation of the processes of crack initiation, growth, eddy current inspection     and   repair/removal of degraded tubes. The current APTECH model simulates the behavior of up to 10,000 individual cracks for five operating periods. Larger populations are accommodated by dividing the steam generator into several risk groups, each of which can be individually simulated.
4.2 AXIALCRACKING WITH REPAIR ON DETECTION The probabilistic model for axial cracking with repair on detection is a slightly modified version of the APTECH model used for the Plant A analyses of IGA/ODSCC at freespan locations.
The actual simulation process is shown in Figure 4.1, which describes the execution of one Monte Carlo trial. The first step in the process is that of defect tagging in which the attributes that define the nature of the defect for the entire period of analysis, are determined. These defect attributes include:
The probabilistic model consists of a Monte Carlo simulation of the processes of crack initiation, growth, eddy current inspection and repair/removal of degraded tubes.
          ~   Initiation time
The current APTECH model simulates the behavior of up to 10,000 individual cracks for five operating periods.
          ~ Growth rates for each operating period
Larger populations are accommodated by dividing the steam generator into several risk groups, each of which can be individually simulated.
          ~ Tube material properties (flow stress)
The actual simulation process is shown in Figure 4.1, which describes the execution of one Monte Carlo trial.
          ~ Defect characteristic length Each   of these     attributes is obtained   by sampling from an appropriate probability distribution function as described in Section 3 of this report.
The first step in the process is that of defect tagging in which the attributes that define the nature of the defect for the entire period of analysis, are determined.
The second step in the simulation process is to compute the size of the defect at each inspection time. The result of this step is a matrix of crack structural depths (D,i) corresponding to time values (Ti) where the index i denotes the ith inspection and the index, denotes the,th defect. At this Aptech Engineering Services, Inc.                               AES96052749-1-1 33
These defect attributes include:
~
Initiation time
~
Growth rates for each operating period
~
Tube material properties (flow stress)
~
Defect characteristic length Each of these attributes is obtained by sampling from an appropriate probability distribution function as described in Section 3 of this report.
The second step in the simulation process is to compute the size of the defect at each inspection time.
The result of this step is a matrix of crack structural depths (D,i) corresponding to time values (Ti) where the index i
denotes the ith inspection and the index, denotes the,th defect.
At this Aptech Engineering Services, Inc.
33 AES96052749-1-1


point in the simulation the characteristics             necessary to determine the structural integrity of each simulated defect have been obtained.
point in the simulation the characteristics necessary to determine the structural integrity of each simulated defect have been obtained.
The third step in the simulation process is to numerically inspect each defect to determine at which inspection the defect is detected and removed from service. This is accomplished       by random selection using the appropriate eddy current POD function.           A detection/repair     state identity matrix is developed (ID,j) in which   a value of 0 denotes an undetected defect,     a value of 1 denotes a detected defect and a value of 2 denotes a repaired defect.
The third step in the simulation process is to numerically inspect each defect to determine at which inspection the defect is detected and removed from service.
For the repair-on-detection       simulation,   a value of 2 is assigned     for the following inspection immediately on detection.
This is accomplished by random selection using the appropriate eddy current POD function.
A detection/repair state identity matrix is developed (ID,j) in which a value of 0 denotes an undetected
: defect, a value of 1 denotes a detected defect and a value of 2 denotes a repaired defect.
For the repair-on-detection simulation, a value of 2 is assigned for the following inspection immediately on detection.
The final step in the simulation process is the identification of defects which have progressed to the point where tube burst or leakage can be expected.
The final step in the simulation process is the identification of defects which have progressed to the point where tube burst or leakage can be expected.
For a given inspection (,), each defect has three important attributes, which I
For a given inspection
(,), each defect has three important attributes, which I
in combination, determine the structural and leakage integrity:
in combination, determine the structural and leakage integrity:
        ~ Structural average depth     (Dfj)
~
        ~ Structural length
Structural average depth (Dfj)
        ~ Maximum depth (4/II x       Dfi)
~
Two attributes determine if         a defect is to be counted as       a burst in the simulation. These are the critical crack length and critical structural depth for the defect which are computed from the Framatome equations discussed in Section 2. A defect is counted as           a burst in the,.th inspection if three conditions are met:
Structural length
        ~ The defect structural depth is greater than or equal to the critical depth Aptech Engineering Services, Inc.                                     AES 96052749-1-1 34
~
Maximum depth (4/II x Dfi)
Two attributes determine if a defect is to be counted as a burst in the simulation.
These are the critical crack length and critical structural depth for the defect which are computed from the Framatome equations discussed in Section 2.
A defect is counted as a burst in the,.th inspection if three conditions are met:
~
The defect structural depth is greater than or equal to the critical depth Aptech Engineering Services, Inc.
34 AES96052749-1-1


The defect characteristic     length is greater than or equal to the critical length
The defect characteristic length is greater than or equal to the critical length
          ~ The defect is undetected or newly detected Defects which are too short to cause a burst, but of sufficient depth, are counted in     a separate   category which affects leakage integrity.       These defects can "pop-through" under accident loading to their full structural length, and are assumed to behave in this manner.           The characteristics of each defect of this type are stored in a special output file for use in separate leakage calculations.
~
The third class of important defect is the stable through wall defect for which the maximum computed depth exceeds               100% of the tube wall thickness. The characteristics of each defect of this type are stored in the same   output file as those of the "pop-through" defects for subsequent leakage   analysis. Figure 4.1   shows the logic structure for the defect classification process.
The defect is undetected or newly detected Defects which are too short to cause a burst, but of sufficient depth, are counted in a
At this point, one trial of the Monte Carlo simulation     is complete. The key information available from this stage of the simulation includes numbers of:
separate category which affects leakage integrity.
        ~   Defects detected
These defects can "pop-through" under accident loading to their full structural length, and are assumed to behave in this manner.
        ~   Bursts predicted
The characteristics of each defect of this type are stored in a special output file for use in separate leakage calculations.
        ~   Pop-through defects predicted
The third class of important defect is the stable through wall defect for which the maximum computed depth exceeds 100%
        ~   Stable leakage defects predicted The probabilistic run-time analysis consists of many thousands         of repeated trials which are used to obtain probability distribution functions for the frequencies and magnitudes of defects which can comprise the structural and/or leakage integrity of     a steam generator.
of the tube wall thickness.
Aptech Engineering Services, Inc.                                 AES96052749-1-1 35
The characteristics of each defect of this type are stored in the same output file as those of the "pop-through" defects for subsequent leakage analysis.
Figure 4.1 shows the logic structure for the defect classification process.
At this point, one trial of the Monte Carlo simulation is complete.
The key information available from this stage of the simulation includes numbers of:
~
Defects detected
~
Bursts predicted
~
Pop-through defects predicted
~
Stable leakage defects predicted The probabilistic run-time analysis consists of many thousands of repeated trials which are used to obtain probability distribution functions for the frequencies and magnitudes of defects which can comprise the structural and/or leakage integrity of a steam generator.
Aptech Engineering Services, Inc.
35 AES96052749-1-1


4.3 AXIALCRACKING WITH REPAIR ON SIZING The probabilistic model for axial cracking with repair on sizing, while identical in concept   with that for repair on detection, has two important distinctions.
4.3 AXIALCRACKING WITH REPAIR ON SIZING The probabilistic model for axial cracking with repair on sizing, while identical in concept with that for repair on detection, has two important distinctions.
The first of these is the incorporation of an additional simulation component which simulates the sizing process       by bobbin coil phase     angle and its measurement     uncertainty. The implication of this feature is that a defect cannot be removed from service until two conditions are met:
The first of these is the incorporation of an additional simulation component which simulates the sizing process by bobbin coil phase angle and its measurement uncertainty.
        ~   Detection h
The implication of this feature is that a defect cannot be removed from service until two conditions are met:
        ~ Measured depth greater than 40% through wall This, of course, results in simulated defect structural depths of greater than 40% through wall remaining in service.         The consequence     of this is less tolerance in the simulation to extremes in defect growth rate.
~
The second important distinction between the repair on sizing and repair on detection   probabilistic   models is the   incorporation   of an   additional probabilistic defect attribute in the first step in the Monte Carlo process.
Detection h
This additional attribute is the form factor which relates the crack maximum depth to the average structural depth.       As with other attributes, such as defect characteristic length and material properties, the form factor remains with the simulated defect throughout the simulation trial The effect of a
~
                                                              ~
Measured depth greater than 40% through wall This, of course, results in simulated defect structural depths of greater than 40% through wall remaining in service.
randomized form factor on the simulation outcome is to increase the number of through wall defects for large defect populations such as for lattice support and tubesheet axial IGA/ODSCC in the present analysis.                 The derivation of the form factor probability distribution function and implications regarding the range of defect shapes are discussed in Section 2.
The consequence of this is less tolerance in the simulation to extremes in defect growth rate.
Aptech Engineering Services, Inc.                                 AES96052749-1-1 36
The second important distinction between the repair on sizing and repair on detection probabilistic models is the incorporation of an additional probabilistic defect attribute in the first step in the Monte Carlo process.
This additional attribute is the form factor which relates the crack maximum depth to the average structural depth.
As with other attributes, such as defect characteristic length and material properties, the form factor remains with the simulated defect throughout the simulation trial ~
The effect of a randomized form factor on the simulation outcome is to increase the number of through wall defects for large defect populations such as for lattice support and tubesheet axial IGA/ODSCC in the present analysis.
The derivation of the form factor probability distribution function and implications regarding the range of defect shapes are discussed in Section 2.
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The simulation of the repair on sizing process                 is a modification of the inspection step discussed in Section 4.2 and described in Figure 4.1 for the repair on detection model       ~     In that case the detection/repair state identity matrix (ID)   was automatically updated to repaired status (2) in the cycle following detection.     In the repair on sizing simulation the process is more complex, requiring a separate           process to simulate bobbin coil inspection results. The repair on sizing process is shown in Figure 4.2. The first step in this process is to create       a bobbin coil depth matrix (DB,i) from the defect structural depth matrix     (Dg)   Each element of the bobbin coil depth matrix is given by:
The simulation of the repair on sizing process is a modification of the inspection step discussed in Section 4.2 and described in Figure 4.1 for the repair on detection model ~
Db,i = A, + A,'Dij +     R.
In that case the detection/repair state identity matrix (ID) was automatically updated to repaired status (2) in the cycle following detection.
In the repair on sizing simulation the process is more
: complex, requiring a separate process to simulate bobbin coil inspection results.
The repair on sizing process is shown in Figure 4.2.
The first step in this process is to create a bobbin coil depth matrix (DB,i) from the defect structural depth matrix (Dg)
Each element of the bobbin coil depth matrix is given by:
Db,i = A, + A,'Dij +
R.
where:
where:
Db,i apparent bobbin depth AA, = coefficients from Appendix          H  qualification regression    analysis A,'        A, x Form Factor (MAX DEPTH/STRUCTURAL AVERAGE DEPTH)
Db,i
R,i    = random error component from Appendix              H correlation The bobbin coil depth matrix provides the basis for removing a defect from further service. As shown in figure 4.2, if the defect has been detected and the apparent bobbin depth is greater than 40% through wall, the detection/repair state identity matrix (ID,i) value is set to 2 for the following inspection. If the defect has been detected and the bobbin coil apparent depth is less than 40%, the detection/repair state identity matrix value is set to  1 for the following cycle and the defect remains in service.              It should be noted that the random error component              (R,i)  can be of the order of +20%
through wall resulting in simulated repair of defects with structural depths considerably under 40% through walt and continued service of defects with Aptech Engineering Services, Inc.                                          AES96052749-1-1 37


structural depths considerably over 40% through wall. This behavior is accommodated in the probabilistic run time model.
apparent bobbin depth AA,= coefficients from Appendix H qualification regression analysis A,'
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A, x Form Factor (MAXDEPTH/STRUCTURAL AVERAGE R,i DEPTH)
= random error component from Appendix H correlation The bobbin coil depth matrix provides the basis for removing a defect from further service.
As shown in figure 4.2, if the defect has been detected and the apparent bobbin depth is greater than 40%
through
: wall, the detection/repair state identity matrix (ID,i) value is set to 2 for the following inspection.
If the defect has been detected and the bobbin coil apparent depth is less than 40%, the detection/repair state identity matrix value is set to 1 for the following cycle and the defect remains in service.
It should be noted that the random error component (R,i) can be of the order of +20%
through wall resulting in simulated repair of defects with structural depths considerably under 40% through walt and continued service of defects with Aptech Engineering Services, Inc.
37 AES96052749-1-1


o   ~
structural depths considerably over 40% through wall.
        ~         t
This behavior is accommodated in the probabilistic run time model.
                                    ~
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  ~   ~                       ~                     ~   ~
38 AES96052749-1-1
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PDENTICAL FOR ALLDEFECTS]
PDENTICALFOR ALLDEFECTS]
COMPUTE DEPTHS:
COMPUTE DEPTHS:
o MAXIMUMDMAXij= Dij*Fi Fi=FORM FACTOR, iTH DEFECT o DBOBBINij= fg)MAXij)+UNC
o MAXIMUMDMAXij= Dij*Fi Fi=FORM FACTOR, iTH DEFECT o DBOBBINij= fg)MAXij)+UNC
[FROM APPENDIX-H QUAL.
[FROM APPENDIX-HQUAL.
DATA]
DATA]
REPEAT FOR:
REPEAT FOR:
ALLDEFECTS ALLCYCLES DETERMINE REPAIR STATUS:
ALLDEFECTS ALLCYCLES DETERMINEREPAIR STATUS:
o SET REPAIR STATUS TO 2 IFo I DEFECT IS DETECIVD BASED ON DMAXij[AND]
o SET REPAIR STATUS TO 2 IFo I DEFECT IS DETECIVD BASED ON DMAXij[AND]
2 DBOBBINij> 40%
2 DBOBBINij> 40%
THROUGHWALL o SET REPAIR STATUS TO I IF.
THROUGHWALL o SET REPAIR STATUS TO I IF.
I DEFECT IS DETECTED Figure 4.2 REPAIR ON SIZING SCHEMATIC Aptech Engineering Services, Inc.                               AESS 605 274g-1-1 40
I DEFECT IS DETECTED Figure 4.2 REPAIR ON SIZING SCHEMATIC Aptech Engineering Services, Inc.
40 AESS 605 274g-1-1


SECTION 5 STRUCTURAL MARGIN EVALUATION The probability of   a tube burst, given a postulated main steam line break (MSLB) accident at end of cycle, is the basic parameter of interest in the structural margin evaluation. A reasonable figure of merit for the conditional probability of a MSLB     tube burst is provided by a historical value of 0.05. A value less than 0.01 provides a recognized benchmark of structural integrity.
SECTION 5 STRUCTURAL MARGIN EVALUATION The probability of a tube burst, given a postulated main steam line break (MSLB) accident at end of cycle, is the basic parameter of interest in the structural margin evaluation.
The purposes     of this section are threefold. The first is to describe the application of the probabilistic models described in Section 4 to the various degradation modes present in the St. Lucie Unit         1 steam generators. The second purpose is to describe the various model benchmarks with St. Lucie Unit 1   data. The third purpose is to summarize the results of the structural margin evaluations for the various modes of degradation present at St. Lucie Unit 1, 5.1 APPLICATION OF THE REPAIR ON SIZING MODEL The repair on sizing (ROS) probabilistic run time model was specifically designed for the simulation of structural margin in three degradation modes present at St. Lucie Unit 1:
A reasonable figure of merit for the conditional probability of a MSLB tube burst is provided by a historical value of 0.05.
        ~   IGA/ODSCC at eggcrate supports
A value less than 0.01 provides a recognized benchmark of structural integrity.
        ~   IGA/ODSCC at the tubesheet (axial only)
The purposes of this section are threefold.
        ~   IGA/ODSCC at vertical supports Aptech Engineering Services, Inc.                                 AES96052749-1-1
The first is to describe the application of the probabilistic models described in Section 4 to the various degradation modes present in the St. Lucie Unit 1 steam generators.
The second purpose is to describe the various model benchmarks with St. Lucie Unit 1 data.
The third purpose is to summarize the results of the structural margin evaluations for the various modes of degradation present at St. Lucie Unit 1, 5.1 APPLICATION OF THE REPAIR ON SIZING MODEL The repair on sizing (ROS) probabilistic run time model was specifically designed for the simulation of structural margin in three degradation modes present at St. Lucie Unit 1:
~
IGA/ODSCC at eggcrate supports
~
IGA/ODSCC at the tubesheet (axial only)
~
IGA/ODSCC at vertical supports Aptech Engineering Services, Inc.
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A summary of defects at these locations for outages beginning in 1991 is given in Tables 5.1 and 5.2 for the A and B steam generators. For the 1996 outage,   which is the primary benchmark for the probabilistic model,'
A summary of defects at these locations for outages beginning in 1991 is given in Tables 5.1 and 5.2 for the A and B steam generators.
For the 1996
: outage, which is the primary benchmark for the probabilistic model,'
combined total of 11.3 thousand defects were recorded for steam generator A for the three degradation modes considered by the repair on sizing model.
combined total of 11.3 thousand defects were recorded for steam generator A for the three degradation modes considered by the repair on sizing model.
Of these,     approximately     9 thousand   had   been   recorded   in previous inspections. Steam generator B was significantly less affected with a total l
Of
of 7.2 thousand       indications recorded   in 1996     attributed to the three degradation modes.
: these, approximately 9
The sheer number of defects involved in the analysis required a division of the problem into computationally manageable subregions.               This necessity resulted in the development of a model representing an "average" support.
thousand had been recorded in previous inspections.
The average     support model for the St. Lucie Unit         1 steam   generators consists of 10,000 defect initiation sites. The 1993, 1994, 1996 outages are explicitly modelled with the current operating period as the final inspection point at which MSLB burst probabilities are computed. The other required input for the model is described in Section 3. The average support model is generic in that it is applied to all axial IGA/ODSCC modes in the St.
Steam generator B was significantly less affected with a total l
Unit 1 steam generators with a repair on sizing plugging criterion.           'ucie Figure 5.1 shows the behavior of the average support model in terms of defects initiated and defects detected at several inspection points. Figure 5.2 shows the average support behavior normalized to the number of observed defects in the A steam generator for the 1996 inspection. The normalization factor required is approximately 14.4 for the most affected steam generator, A. Since the postulated MSLB accident results in a high structural loading only in the one steam generator A, which has substantially more degraded tubes, was chosen for structural margin computations.
of 7.2 thousand indications recorded in 1996 attributed to the three degradation modes.
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The sheer number of defects involved in the analysis required a division of the problem into computationally manageable subregions.
This necessity resulted in the development of a model representing an "average" support.
The average support model for the St.
Lucie Unit 1
steam generators consists of 10,000 defect initiation sites.
The 1993, 1994, 1996 outages are explicitly modelled with the current operating period as the final inspection point at which MSLB burst probabilities are computed.
The other required input for the model is described in Section 3.
The average support model is generic in that it is applied to all axial IGA/ODSCC modes in the St.
'ucie Unit 1 steam generators with a repair on sizing plugging criterion.
Figure 5.1 shows the behavior of the average support model in terms of defects initiated and defects detected at several inspection points.
Figure 5.2 shows the average support behavior normalized to the number of observed defects in the A steam generator for the 1996 inspection.
The normalization factor required is approximately 14.4 for the most affected steam generator, A.
Since the postulated MSLB accident results in a high structural loading only in the one steam generator A, which has substantially more degraded tubes, was chosen for structural margin computations.
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The overall probability of burst under MSLB loading for a steam generator with various numbers of observed defects at several support levels can be expressed as:
The overall probability of burst under MSLB loading for a steam generator with various numbers of observed defects at several support levels can be expressed as:
Pe =1.   - (1-P>) (1-P2) ......(1-PN) [5.1]
Pe =1. - (1-P>) (1-P2)......(1-PN)
where:         P, = overall burst probability PN PR x   NN/NR N= number of observed       defects at N'" support NR = number of observed defects at average support PR   probability of burst at average support 5.1.1 Benchmarking the Repair on Sizing Model The situation where a defect can progress to become a burst "candidate" under MSLB loading is shown conceptually in Figure 5.3.             In essence, the allowable defect growth is probabilistically defined by the difference between the distributions of beginning of cycle, BOC, structural depths and end of cycle allowable depths.     This suggests that two benchmarks are of particular importance in the case of St. Lucie Unit 1.
[5.1]
The first is related to the BOC distribution and consists of a comparison of the portion of the population with observed depths greater than 40% through wall for the 1996 outage with that simulated in the model. This comparison is shown in Figure 5.4 for the worst supports in each steam generator.           The model predictions are shown to be conservative in this regard.
where:
The second benchmark is related to the extremes at EOC.             The comparison 1 of numbers of observed defects in 1996 exceeding 80% through wall with Aptech Engineering Services, Inc.                                   AES96052749-1-1
P, = overall burst probability PN PR x NN/NR N= number of observed defects at N'" support NR = number of observed defects at average support PR probability of burst at average support 5.1.1 Benchmarking the Repair on Sizing Model The situation where a defect can progress to become a burst "candidate" under MSLB loading is shown conceptually in Figure 5.3.
In essence, the allowable defect growth is probabilistically defined by the difference between the distributions of beginning of cycle, BOC, structural depths and end of cycle allowable depths.
This suggests that two benchmarks are of particular importance in the case of St. Lucie Unit 1.
The first is related to the BOC distribution and consists of a comparison of the portion of the population with observed depths greater than 40% through wall for the 1996 outage with that simulated in the model.
This comparison is shown in Figure 5.4 for the worst supports in each steam generator.
The model predictions are shown to be conservative in this regard.
The second benchmark is related to the extremes at EOC.
The comparison 1
of numbers of observed defects in 1996 exceeding 80% through wall with Aptech Engineering Services, Inc.
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those predicted by the model provides the second benchmark. Figure 5.5 is the distribution of number of defects exceeding 80% through wall (bobbin coil phase angle) as predicted by the model for steam generator A in 1996.
those predicted by the model provides the second benchmark.
The actual number observed is 6.       This is considerably lower than the best estimate of 12 from the simulation. These obvious elements of conservatism in the benchmark results are, in fact, an unavoidable result of the "recipe" for inferring the apparent       growth rate distribution from NDE data       which inherently includes sizing errors.
Figure 5.5 is the distribution of number of defects exceeding 80% through wall (bobbin coil phase angle) as predicted by the model for steam generator A in 1996.
5.1.2 Computation of Burst Probabilities as   a Function of Run Time for the Average Support The repair on sizing model was run for three simulated operating cycle lengths to evaluate the variation of burst probability with run time for the current St. Lucie Unit   1 operating cycle. Operating periods of 13, 14 and 15 months were simulated. The 13 month and 14 month simulations consisted of 20,000 trials each. The 15 month simulation consisted of 40,000 trials.
The actual number observed is 6.
The "raw" outcome from each simulation is shown in Table 5.3 in terms of number of simulated bursts under MSLB loading at end of cycle. Because of the relatively low frequency of burst observed in these cases, the probabilities were adjusted to give high confidence estimates of the frequency of burst. The frequencies were adjusted such that the probability of observing N (or less) occurrences was less than 5%, where N occurrences were observed in the simulation.
This is considerably lower than the best estimate of 12 from the simulation.
As can be seen from Table 5.3 and Figure 5.6, the risk of tube burst versus run time has a characteristic upsweep in the 14 month/15 months run time interval. Also shown in Figure 5.6 is an overall risk for steam generator A Aptech Engineering Services, Inc.                               AES9 6052749-1-1
These obvious elements of conservatism in the benchmark results are, in fact, an unavoidable result of the "recipe" for inferring the apparent growth rate distribution from NDE data which inherently includes sizing errors.
5.1.2 Computation of Burst Probabilities as a Function of Run Time for the Average Support The repair on sizing model was run for three simulated operating cycle lengths to evaluate the variation of burst probability with run time for the current St. Lucie Unit 1 operating cycle.
Operating periods of 13, 14 and 15 months were simulated.
The 13 month and 14 month simulations consisted of 20,000 trials each.
The 15 month simulation consisted of 40,000 trials.
The "raw" outcome from each simulation is shown in Table 5.3 in terms of number of simulated bursts under MSLB loading at end of cycle.
Because of the relatively low frequency of burst observed in these
: cases, the probabilities were adjusted to give high confidence estimates of the frequency of burst.
The frequencies were adjusted such that the probability of observing N (or less) occurrences was less than 5%, where N occurrences were observed in the simulation.
As can be seen from Table 5.3 and Figure 5.6, the risk of tube burst versus run time has a characteristic upsweep in the 14 month/15 months run time interval.
Also shown in Figure 5.6 is an overall risk for steam generator A Aptech Engineering Services, Inc.
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due to the IGA/ODSCC attack at eggcrate, tubesheet (axial only), and vertical supports. The overall probabilities were approximately by:
due to the IGA/ODSCC attack at eggcrate, tubesheet (axial only), and vertical supports.
Pa =   1 -(1-P)                                   [5.2l where:         P,   = burst probability at all supports Pg       Pgs at average support M     =-1 5   = number of average supports           in steam generator (generator A = 14.4) 5.1.3   Burst Probabilities for IGA/OSDCC at Eggcrates, Tubesheet, and Vertical Supports The results obtained for the average supports can be used to apportion the risk of tube rupture to the three subgroups defined by location within the steam generator.         The first subgroup consists of defects at eggcrate locations. As seen from Table 5.1, approximately 6,500 of the 11,300 indications present in the A steam generator are at eggcrate locations.           Also from Table 5.1, approximately 1,000 indications are present in the vertical supports and 3,800 are present in the tubesheet region.
The overall probabilities were approximately by:
Table   5.4 shows       the risk of tube       rupture   apportioned   to the three degradation   modes     using Equation 5.1.       It can be seen that the most significant component of risk is associated with the eggcrate locations due to the relatively larger number of indications present in the 1996 inspection.
Pa
5.2     APPLICATION OF THE REPAIR ON DETECTION MODEL FOR AXIALDEGRADATION The repair criterion in the           original probabilistic initiation, growth and inspection model was simply one of detection.               This model has been well benchmarked     in the past.       Predicted end of cycle conditions have been Aptech Engineering Services, Inc.                                       AES96052749-1-1
=
1 -(1-P)
[5.2l where:
P,
= burst probability at all supports Pg Pgs at average support M
=-1 5
=
number of average supports in steam generator (generator A = 14.4) 5.1.3 Burst Probabilities for IGA/OSDCC at Eggcrates, Tubesheet, and Vertical Supports The results obtained for the average supports can be used to apportion the risk of tube rupture to the three subgroups defined by location within the steam generator.
The first subgroup consists of defects at eggcrate locations.
As seen from Table 5.1, approximately 6,500 of the 11,300 indications present in the A steam generator are at eggcrate locations.
Also from Table 5.1, approximately 1,000 indications are present in the vertical supports and 3,800 are present in the tubesheet region.
Table 5.4 shows the risk of tube rupture apportioned to the three degradation modes using Equation 5.1.
It can be seen that the most significant component of risk is associated with the eggcrate locations due to the relatively larger number of indications present in the 1996 inspection.
5.2 APPLICATION OF THE REPAIR ON DETECTION MODEL FOR AXIALDEGRADATION The repair criterion in the original probabilistic initiation, growth and inspection model was simply one of detection.
This model has been well benchmarked in the past.
Predicted end of cycle conditions have been Aptech Engineering Services, Inc.
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demonstrated     by later actual inspections to be on the conservative side of very good. This model has been applied to axial degradation at St. Lucie Unit 1 at freespan   and drilled tube support locations with results as described below.
demonstrated by later actual inspections to be on the conservative side of very good.
The number of additional freespan indications expected at the end of the current cycle for   a 'l5 month run time is about 12. The additional run time represents an increase in total operating time of about 10% relative to the cumulative operating time at the last inspection when 24 freespan indications were found in the worst steam generator. Even for very high slopes in the Weibull initiation function, the total number of expected freespan indications is very low. lt is no surprise that in 10,000 simulations of steam generator operation for up to 15 months of operating time no instances of burst under postulated accident conditions were, encountered. Similarly no instances of through wall penetration occurred.         The conditional probability of burst at postulated   accident conditions is less than 0.0001.           This is negligible compared     to the       total conditional probability of burst     when   other mechanisms     are considered. The same is true for the risk of leakage at postulated accident conditions.       Freespan degradation as analyzed is not a significant factor in the total structural and leakage integrity analysis.
This model has been applied to axial degradation at St. Lucie Unit 1 at freespan and drilled tube support locations with results as described below.
A more substantial number of indications of axial degradation are expected at drilled support plates in the upper bundle. Approximately 280 additional indications is the expectation after 15 months of operation. With this time frame, the contribution to the conditional probability of tube burst is 0.0017.
The number of additional freespan indications expected at the end of the current cycle for a 'l5 month run time is about 12.
The additional run time represents an increase in total operating time of about 10% relative to the cumulative operating time at the last inspection when 24 freespan indications were found in the worst steam generator.
Even for very high slopes in the Weibull initiation function, the total number of expected freespan indications is very low. lt is no surprise that in 10,000 simulations of steam generator operation for up to 15 months of operating time no instances of burst under postulated accident conditions were, encountered.
Similarly no instances of through wall penetration occurred.
The conditional probability of burst at postulated accident conditions is less than 0.0001.
This is negligible compared to the total conditional probability of burst when other mechanisms are considered.
The same is true for the risk of leakage at postulated accident conditions.
Freespan degradation as analyzed is not a significant factor in the total structural and leakage integrity analysis.
A more substantial number of indications of axial degradation are expected at drilled support plates in the upper bundle.
Approximately 280 additional indications is the expectation after 15 months of operation.
With this time frame, the contribution to the conditional probability of tube burst is 0.0017.
This is not a substantial term relative to recognized figures of merit.
This is not a substantial term relative to recognized figures of merit.
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5.3     APPLICATION OF THE REPAIR ON DETECTION MODEL FOR CIRCUMFERENTIAL DEGRADATION With   a projection scheme the same as NRC Letter 95-05, the expected number of circumferential indications at the end of the current cycle is 61.
5.3 APPLICATION OF THE REPAIR ON DETECTION MODEL FOR CIRCUMFERENTIALDEGRADATION With a projection scheme the same as NRC Letter 95-05, the expected number of circumferential indications at the end of the current cycle is 61.
This number, in essence, refers to the expected number of substantially sized indications. With a plug on detection repair criterion, approximately 0.66 of the previously plugged indications are considered to be present at beginning of cycle. The severity of these BOC indications is effectively increased by the application of   a sizing error. The extremes of the distribution of assumed BOC percent degraded area values are increased by this process.
This number, in essence, refers to the expected number of substantially sized indications.
After the severity of the BOC population of circumferential degraded tubes is defined, growth allowances are added to develop the projected end of cycle conditions. Monte Carlo simulations are used to include sizing errors and growth allowances.         Typically 10,000 simulations of   a steam   generator operating cycle are performed. The number of observed bursts at postulated accident conditions at EOC allow calculation of the conditional probability of burst. For a 15 month run period, the contribution of circumferential degradation to the conditional probability of tube burst is 0.0025 using a very conservative projection of end of cycle conditions.
With a plug on detection repair criterion, approximately 0.66 of the previously plugged indications are considered to be present at beginning of cycle.
5A SUIVIMARYOF ALL IVIECHANISMS As discussed in the preceding paragraphs, the following locations and modes of corrosion degradation were evaluated:
The severity of these BOC indications is effectively increased by the application of a sizing error.
        ~   Axial degradation at the top of the tubesheet in the sludge pile
The extremes of the distribution of assumed BOC percent degraded area values are increased by this process.
        ~   Axial degradation at eggcrate and vertical strap (lattice type) tube support structures Aptech Engineering Services, Inc.                                 AES 96052749-1-1 47
After the severity of the BOC population of circumferential degraded tubes is defined, growth allowances are added to develop the projected end of cycle conditions.
Monte Carlo simulations are used to include sizing errors and growth allowances.
Typically 10,000 simulations of a steam generator operating cycle are performed.
The number of observed bursts at postulated accident conditions at EOC allow calculation of the conditional probability of burst.
For a
15 month run
: period, the contribution of circumferential degradation to the conditional probability of tube burst is 0.0025 using a
very conservative projection of end of cycle conditions.
5A SUIVIMARYOF ALLIVIECHANISMS As discussed in the preceding paragraphs, the following locations and modes of corrosion degradation were evaluated:
~
Axial degradation at the top of the tubesheet in the sludge pile
~
Axial degradation at eggcrate and vertical strap (lattice type) tube support structures Aptech Engineering Services, Inc.
47 AES96052749-1-1


        ~   Circumferential degradation at explosive expansion transitions at the top of the tubesheet
~
        ~   Axial degradation at drilled tube support structures
Circumferential degradation at explosive expansion transitions at the top of the tubesheet
        ~   Axial degradation at upper bundle freespan locations The   dominant     contributors   to the conditional   probability of burst at postulated   accident conditions are axial degradation     at lattice type tube supports and in the sludge pile at the top of the tubesheet.             Figure 5.7 shows   a plot of conditional probability of tube burst versus operating time for the limiting steam generator., Two curves are shown,           a summary curve including all mechanisms         and a curve showing the contribution of axial degradation in the sludge pile and at lattice type supports.
~
An upsweep in conditional probability of tube burst begins in the vicinity of 14 months of operation.       At 14 months the calculated conditional probability of tube burst is 0.018.       At 15 months, the calculated conditional probability of tube burst is 0.044.
Axial degradation at drilled tube support structures
Aptech Engineering Services, Inc.                                 AES 96052749-1-1 48
~
Axial degradation at upper bundle freespan locations The dominant contributors to the conditional probability of burst at postulated accident conditions are axial degradation at lattice type tube supports and in the sludge pile at the top of the tubesheet.
Figure 5.7 shows a plot of conditional probability of tube burst versus operating time for the limiting steam generator., Two curves are shown, a summary curve including all mechanisms and a curve showing the contribution of axial degradation in the sludge pile and at lattice type supports.
An upsweep in conditional probability of tube burst begins in the vicinity of 14 months of operation.
At 14 months the calculated conditional probability of tube burst is 0.018.
At 15 months, the calculated conditional probability of tube burst is 0.044.
Aptech Engineering Services, Inc.
48 AES96052749-1-1


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GROWTH MARGIN 0
GROWTH MARGIN 0
DEPTHOF ALLOWABLE DEFECTS IN X DEPTH FROM g XX FRAMATQME EQN.
DEPTHOF DEFECTS IN SERVICE REPAIR DEPTH
SERVICE REPAIR DEPTH
[APPARENT]
[APPARENT]
STRUCTURAL AVERAGE DEPTH Figure 5.3 SCHEMATIC OF GROWTH MARGIN Aptech Engineering Services, inc.                         AES9 6052749-1-1 54
STRUCTURAL AVERAGE DEPTH ALLOWABLE X DEPTH FROM g XX FRAMATQME EQN.
Figure 5.3 SCHEMATIC OF GROWTH MARGIN Aptech Engineering Services, inc.
54 AES9 6052749-1-1


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2   3     4     5   6   7   8 9 10 11 12 13 'f4 15 'f6 17   'f 8 19 20 2'f 22 NUMBER OF DEFECTS > 80% THRUWALLtPREDICTEDJ Figure 5.5 PREDICTED NUIVIBER OF LARGE DEFECTS - SG A
2 3
[FROIVI SIMULATION RESULTS]
4 5
Aptech Engineering Services, Inc.                               AES 96052749-1-1 56
6 7
8 9
10 11 12 13
'f4 15
'f6 17
'f8 19 20 2'f 22 NUMBER OF DEFECTS > 80% THRUWALLtPREDICTEDJ Figure 5.5 PREDICTED NUIVIBER OF LARGE DEFECTS - SG A
[FROIVI SIMULATIONRESULTS]
Aptech Engineering Services, Inc.
56 AES96052749-1-1


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0.045 0.04 0.035 0.03 CO m
0.045 0.04 0.035 0.03 CO m
0.025 m     0.02 m
0.025 m
0
0.02 m0 a.
: a. 0.015 0.01 0.005 12.5           13       13.5     14     14.5 RUN TIME, MONTHS Figure 5.7 CALCULATED CONDITIONALPROBABILITY OF TUBE BURST AT POSTULATED ACCIDENT CONDITIONS VERSUS RUN TIME Aptech Engineering Services, inc.                       AES96052749-'l-1 58
0.015 0.01 0.005 12.5 13 13.5 RUN TIME, MONTHS 14 14.5 Figure 5.7 CALCULATEDCONDITIONALPROBABILITYOF TUBE BURST AT POSTULATED ACCIDENT CONDITIONS VERSUS RUN TIME Aptech Engineering Services, inc.
58 AES96052749-'l-1


SECTION 6 LEAKAGE EVALUATION Three types of leakage analyses were conducted.           The most sophisticated models were applied to axial degradation in the sludge pile and at lattice type supports     and   to   circumferential   degradation   at   explosive   expansion transitions. An early leakage model for axial freespan cracking was applied to axial degradation at freespan and drilled tube support locations. As expected, the mechanisms which were dominant relative to probability of burst are the mechanisms of most concern relative to leakage.
SECTION 6 LEAKAGE EVALUATION Three types of leakage analyses were conducted.
Treatments     of leakage   from circumferential degradation,     with plug on detection and from axial degradation with       a plug on sizing repair criterion included a probabilistic treatment of crack morphologies.         Apportioning of circumferential degraded area to leakage paths was described in Section 2.2.
The most sophisticated models were applied to axial degradation in the sludge pile and at lattice type supports and to circumferential degradation at explosive expansion transitions.
Two elements of conservatism are the absence of ligament effects as cracks penetrate the wall and a scheme to maximize the leak rate for a given array of cracks by devoting all of the degraded area to drive the largest leaking cracks through wall. Variations of crack morphology for axial degradation were obtained by sampling of the ratios of maximum crack depth to structurally significant crack depth. Actual data was obtained from pulled tubes from Plant A and applied to St. Lucie Unit 1. For         a given structurally significant depth, there exists   a range of possible crack shapes. Self similar propagation of these sampled shapes           was used to define the extent of through wall penetration needed for leak rate calculations.       The much fewer instances     of freespan   and drilled tube support   axial degradation     were modelled using only a semi-elliptical physical crack shape.
An early leakage model for axial freespan cracking was applied to axial degradation at freespan and drilled tube support locations.
Aptech Engineering Services, Inc.                                 AES96052749-1-1 59
As
: expected, the mechanisms which were dominant relative to probability of burst are the mechanisms of most concern relative to leakage.
Treatments of leakage from circumferential degradation, with plug on detection and from axial degradation with a plug on sizing repair criterion included a probabilistic treatment of crack morphologies.
Apportioning of circumferential degraded area to leakage paths was described in Section 2.2.
Two elements of conservatism are the absence of ligament effects as cracks penetrate the wall and a scheme to maximize the leak rate for a given array of cracks by devoting all of the degraded area to drive the largest leaking cracks through wall.
Variations of crack morphology for axial degradation were obtained by sampling of the ratios of maximum crack depth to structurally significant crack depth.
Actual data was obtained from pulled tubes from Plant A and applied to St. Lucie Unit 1.
For a given structurally significant depth, there exists a range of possible crack shapes.
Self similar propagation of these sampled shapes was used to define the extent of through wall penetration needed for leak rate calculations.
The much fewer instances of freespan and drilled tube support axial degradation were modelled using only a semi-elliptical physical crack shape.
Aptech Engineering Services, Inc.
59 AES96052749-1-1


6.1     PROJECTED LEAK RATES FOR AXIALDEGRADATION IN THE SLUDGE PILE AND AT LATTICE TYPE SUPPORTS The plug on sizing structural integrity simulation provides an output             file, containing information describing every through wall crack encountered             in the simulation process     ln addition, a similar description is provided for each defect which can pop-through under MSLB'loading. The information for each defect includes:
6.1 PROJECTED LEAK RATES FOR AXIALDEGRADATION IN THE SLUDGE PILE AND AT LATTICETYPE SUPPORTS The plug on sizing structural integrity simulation provides an output file, containing information describing every through wall crack encountered in the simulation process ln addition, a similar description is provided for each defect which can pop-through under MSLB'loading. The information for each defect includes:
        ~ Structural average depth
~
        ~   Maximum depth
Structural average depth
        ~   Structural length
~
        ~   Flow stress The frequency and character         of the defects determine the probability of various levels of leakage under postulated MSLB conditions at end of cycle.
Maximum depth
The basic frequency of leakage was computed for the "average" support for operating periods of 13 months, 14 months and 15 months.               These results are shown in Table 6.1 together       with estimates of the probability of leakage for steam generator A.
~
The probabilities associated with various amounts of leakage were computed using the LEAKMC algorithm described               in Figure   6.1. The LEAKMC algorithm is a straightforward Monte Carlo simulation which computes the number and magnitude of leaks in a complete steam generator.             The number of simulated leaking defects in the entire steam generator is obtained by first sampling from a binominal distribution using the average level frequency of leak computations       and   the number of equivalent       levels in the steam generator.
Structural length
Aptech Engineering Services, Inc.                                     AES96052749-1-1 60
~
Flow stress The frequency and character of the defects determine the probability of various levels of leakage under postulated MSLB conditions at end of cycle.
The basic frequency of leakage was computed for the "average" support for operating periods of 13 months, 14 months and 15 months.
These results are shown in Table 6.1 together with estimates of the probability of leakage for steam generator A.
The probabilities associated with various amounts of leakage were computed using the LEAKMC algorithm described in Figure 6.1.
The LEAKMC algorithm is a straightforward Monte Carlo simulation which computes the number and magnitude of leaks in a complete steam generator.
The number of simulated leaking defects in the entire steam generator is obtained by first sampling from a binominal distribution using the average level frequency of leak computations and the number of equivalent levels in the steam generator.
Aptech Engineering Services, Inc.
60 AES96052749-1-1


For each leaking defect obtained in the above process, a leak rate is sampled from the ROS (burstj model output file. All leakage for a given Monte Carlo trial is obtained by summing the individual leak rates.         The distributional output is shown in Figure 6.2 for 5,000 simulations.             The upper 95/95 projected leak rate for   a 15 month run time is 2.94 gpm.
For each leaking defect obtained in the above process, a leak rate is sampled from the ROS (burstj model output file. All leakage for a given Monte Carlo trial is obtained by summing the individual leak rates.
6.2     PROJECTED LEAK RATES FOR CIRCUMFERENTIAL DEGRADATION Leak rates for circumferential degradation were determined using the CIRC95 program   developed     on the     industry-wide EPRI circumferential   cracking program.       The   principal     authors   of this program   are APTECH     and Westinghouse.       A distribution of EOC leak rates at postulated         accident conditions was constructed         for various run times. There was no large variation in the 95% upper bound leak rates for run time from 12 to 15 months. The 95% upper bound leak rate from 10,000 simulations after           a 15 month run time is 0.85 gpm. This leak rate can be converted to         a mass flow rate using the density of water at room temperature.
The distributional output is shown in Figure 6.2 for 5,000 simulations.
6.3     PROJECTED LEAK RATES FROM DEGRADATION AT DRILLED SUPPORT AND FREESPAN LOCATIONS The issue of leakage from freespan indications can be settled quickly.           No through wall leaking freespan cracks are expected.         In contrast, leakage at postulated accident conditions is expected from axial degradation at drilled tube support locations,           albeit at low levels of probability. For this degradation mode, after 15 months of operation the estimated probability of leakage is less than 2%.         Given that any leakage occurs, the 95% upper bound leak rate is about       1   gpm. Since 98% of the time no leakage is expected, the contribution to the 95% bound leak rate is zero.               Hence, Aptech Engineering Services, Inc.                                   AES96052749-1-1
The upper 95/95 projected leak rate for a 15 month run time is 2.94 gpm.
6.2 PROJECTED LEAK RATES FOR CIRCUMFERENTIALDEGRADATION Leak rates for circumferential degradation were determined using the CIRC95 program developed on the industry-wide EPRI circumferential cracking program.
The principal authors of this program are APTECH and Westinghouse.
A distribution of EOC leak rates at postulated accident conditions was constructed for various run times.
There was no large variation in the 95% upper bound leak rates for run time from 12 to 15 months.
The 95% upper bound leak rate from 10,000 simulations after a 15 month run time is 0.85 gpm.
This leak rate can be converted to a mass flow rate using the density of water at room temperature.
6.3 PROJECTED LEAK RATES FROM DEGRADATIONAT DRILLED SUPPORT AND FREESPAN LOCATIONS The issue of leakage from freespan indications can be settled quickly.
No through wall leaking freespan cracks are expected.
In contrast, leakage at postulated accident conditions is expected from axial degradation at drilled tube support locations, albeit at low levels of probability.
For this degradation mode, after 15 months of operation the estimated probability of leakage is less than 2%.
Given that any leakage occurs, the 95% upper bound leak rate is about 1
gpm.
Since 98% of the time no leakage is
: expected, the contribution to the 95% bound leak rate is zero.
: Hence, Aptech Engineering Services, Inc.
AES96052749-1-1


leakage from axial degradation       at either freespan   or drilled tube support plates is expected to be inconsequential       ~
leakage from axial degradation at either freespan or drilled tube support plates is expected to be inconsequential
6.4     TOTAL PROJECTED LEAK RATE The main contributors to projected           end of cycle leakage       at postulated accident conditions are axial degradation in the sludge pile and at lattice type supports and expansion zone circumferential degradation.             The sum of the 95% upper bound leak rates is less than 4 gpm for 15 months of operation.
~
The risk of very large leak rates is roughly comparable to the risk of tube burst. The projected 95% upper bound total leakage is far removed from allowable leak rates from a site specific radiological dose consequence           St.
6.4 TOTAL PROJECTED LEAK RATE The main contributors to projected end of cycle leakage at postulated accident conditions are axial degradation in the sludge pile and at lattice type supports and expansion zone circumferential degradation.
Lucie Unit   1 analysis.       This analysis   indicated an allowable leak 'rate substantially in excess of charging pump capacity.         Conditional probability of burst rather than projected leak rates is the limiting consideration at St. Lucie Unit 1.
The sum of the 95% upper bound leak rates is less than 4 gpm for 15 months of operation.
Aptech Engineering Services, Inc.                                     AES96052749-1-1 62
The risk of very large leak rates is roughly comparable to the risk of tube burst.
The projected 95% upper bound total leakage is far removed from allowable leak rates from a site specific radiological dose consequence St.
Lucie Unit 1
analysis.
This analysis indicated an allowable leak 'rate substantially in excess of charging pump capacity.
Conditional probability of burst rather than projected leak rates is the limiting consideration at St. Lucie Unit 1.
Aptech Engineering Services, Inc.
62 AES96052749-1-1


OCT. 15. 1996   2: 11PH                                               HO. 863   P. 9 TABLE 6.1
OCT. 15. 1996 2: 11PH HO. 863 P. 9 TABLE 6.1


==SUMMARY==
==SUMMARY==
OF LEAKAGE PROBABILITIES
OF LEAKAGE PROBABILITIES
[SLUDGE PILE AND LATTICE TYPE SUPPORTS]
[SLUDGE PILE AND LATTICETYPE SUPPORTS]
RUN TIME       NUMBER OF LEAKERS             P (I EAK)      P (LEAK)
RUN TIME (MONTHS)
(MONTHS)          (20K SIIVIULATIONS)    (AVERAGE SUPPORT     SG-A 1122                0.069         0.59 1843                0.0966          0.78 3068                0.164          0.92 Aptech Engineering Services, Inc.                         AES96062749-1-1 63
NUMBER OF LEAKERS (20K SIIVIULATIONS) 1122 1843 3068 P (I EAK)
(AVERAGE SUPPORT 0.069 0.0966 0.164 P (LEAK)
SG-A 0.59 0.78 0.92 Aptech Engineering Services, Inc.
63 AES96062749-1-1


OUTPUT                 MECHANISTIC          DEVELOPMENT OF LEAK FROM                   LEAKAGE              RATE SAMPLING STR.                   CALCULATION          DISTRIBUTION:
OUTPUT FROM STR.
            ,INTEG i>>>> ~>>>> ~>> ~>>
,INTEG i>>>> ~>>>> ~>> ~>>
P~~'~~V. ~g~W>>>   ~
'ANAGY A""
            'ANAGY  A""
MECHANISTIC LEAKAGE CALCULATION P~~'~~V. ~g~W>>>~
Nil m .KM~4   P(L RATE)
Nilm.KM~4 DEVELOPMENTOF LEAK RATE SAMPLING DISTRIBUTION:
MONTE CARLO SIMULATION SAMPLE:
P(LRATE) 0 MONTE CARLO SIMULATION SAMPLE:
0                                                          NUMBER OF LEAKS LRATE SUM:
NUMBEROF LEAKS LRATE SUM:
LRATE(1)....LRATE(N)
LRATE(1)....LRATE(N)
OUTPUT:
OUTPUT:
P(LEAK RATE)
P(LEAKRATE)
Figure 6.'I SCHEMATIC OF LEAKMC ALGORITHM Aptech Engineering Services, Inc.                                 AES96052749-1-1
Figure 6.'I SCHEMATIC OF LEAKMCALGORITHM Aptech Engineering Services, Inc.
AES96052749-1-1


~ ~
~ ~
~~
~ ~


0 0
0 0
Line 552: Line 1,197:


==SUMMARY==
==SUMMARY==
AND CONCLUSIONS The significance of corrosion degradation         to the performance   of steam generator tubing at St. Lucie Unit     1   was evaluated for the final cycle of operation of the unit. Replacement of steam generators will begin in the fall of 1997.       Probabilistic methods   were applied to make end of cycle projections of the structural and leakage integrity of steam generator tubing experiencing corrosion degradation.
AND CONCLUSIONS The significance of corrosion degradation to the performance of steam generator tubing at St. Lucie Unit 1 was evaluated for the final cycle of operation of the unit.
Over the past 12 years of operation, steam generator tubing at St. Lucie Unit 1 has experienced substantial corrosion degradation.     Eddy current inspection data and pulled tube examinations show the degradation to be combinations of intergranular attack, IGA and stress corrosion cracking, SCC, on the outer diameter of the tubing. The five types of locations where this degradation occurs and the modes of corrosion are:
Replacement of steam generators will begin in the fall of 1997.
~   circumferential degradation at explosive expansion transitions at the top of the tubesheet
Probabilistic methods were applied to make end of cycle projections of the structural and leakage integrity of steam generator tubing experiencing corrosion degradation.
~   axial degradation at the top of the tubesheet in the sludge pile
Over the past 12 years of operation, steam generator tubing at St. Lucie Unit 1 has experienced substantial corrosion degradation.
~   axial degradation at eggcrate and vertical strap tube support structures
Eddy current inspection data and pulled tube examinations show the degradation to be combinations of intergranular attack, IGA and stress corrosion cracking, SCC, on the outer diameter of the tubing.
~   axial degradation at drilled tube support structures
The five types of locations where this degradation occurs and the modes of corrosion are:
~   axial degradation at upper bundle freespan locations.
~
Several probabilistic run time models were employed.             Modeling included scenarios of both plug on detection and plug on sizing, depending on the mode and location of degradation.       Circumferential degradation at the top of the tubesheet,     as well as axial degradation     at freespan and drilled tube support locations, was modeled using       a plug on detection scenario coupled Aptech Engineering Services, Inc.                                 AES 96052749-1-1 66
circumferential degradation at explosive expansion transitions at the top of the tubesheet
~
axial degradation at the top of the tubesheet in the sludge pile
~
axial degradation at eggcrate and vertical strap tube support structures
~
axial degradation at drilled tube support structures
~
axial degradation at upper bundle freespan locations.
Several probabilistic run time models were employed.
Modeling included scenarios of both plug on detection and plug on sizing, depending on the mode and location of degradation.
Circumferential degradation at the top of the tubesheet, as well as axial degradation at freespan and drilled tube support locations, was modeled using a plug on detection scenario coupled Aptech Engineering Services, Inc.
66 AES96052749-1-1


with an   RPC inspection scheme.         Modeling of axial degradation   at other locations employed     a bobbin probe inspection with a plug on sizing scenario.
with an RPC inspection scheme.
Probabilistic computations of the conditional probability of burst and the magnitude     of leakage     under   accident conditions   were   developed.
Modeling of axial degradation at other locations employed a bobbin probe inspection with a plug on sizing scenario.
Probabilistic computations of the conditional probability of burst and the magnitude of leakage under accident conditions were developed.
Calculational procedures were benchmarked by comparing predictions of the number and severity of eddy current indications with actual observations and by comparing predicted versus observed leakage during in situ testing.
Calculational procedures were benchmarked by comparing predictions of the number and severity of eddy current indications with actual observations and by comparing predicted versus observed leakage during in situ testing.
The dominant contributor to the condition probability of burst is axial degradation in the sludge pile and at lattice type supports.     This is basically due to the number of indications involved.         Degradation growth rates are largely independent of location.
The dominant contributor to the condition probability of burst is axial degradation in the sludge pile and at lattice type supports.
The projected end of cycle leak rates at postulated accident conditions were reasonably small and not markedly sensitive to run time. After 15 months of operation the total projected 95% upper bound leak rate is less than 4 gpm. Site specific analyses of dose rate consequences for various leak rates demonstrate a leakage limit far in excess of this projected value. A leak rate in excess of the charging pump capacity will not exceed         10 CFR 100 and GDC 19 accident dose limits.
This is basically due to the number of indications involved.
The conditional probability of burst under postulated accident conditions is the limiting concern.       When all corrosion mechanisms     are considered,   the projected end of cycle conditional probability of burst is 0.018 for a run time of 14 months.       An upsweep in the conditional probability of burst is noted for longer run times.     For a run time of 15 months, the calculated conditional probability of burst is 0,044.
Degradation growth rates are largely independent of location.
Aptech Engineering Services, Inc.                                 AES9605 2749-1-1 67
The projected end of cycle leak rates at postulated accident conditions were reasonably small and not markedly sensitive to run time.
After 15 months of operation the total projected 95% upper bound leak rate is less than 4 gpm.
Site specific analyses of dose rate consequences for various leak rates demonstrate a leakage limit far in excess of this projected value.
A leak rate in excess of the charging pump capacity will not exceed 10 CFR 100 and GDC 19 accident dose limits.
The conditional probability of burst under postulated accident conditions is the limiting concern.
When all corrosion mechanisms are considered, the projected end of cycle conditional probability of burst is 0.018 for a run time of 14 months.
An upsweep in the conditional probability of burst is noted for longer run times.
For a run time of 15 months, the calculated conditional probability of burst is 0,044.
Aptech Engineering Services, Inc.
67 AES9605 2749-1-1


REFERENCES NRC     Generic     Letter 95-05, Voltage-Based     Repair     Criteria for Westinghouse Steam Generator Tubes Affected by Outside Diameter Stress Corrosion Cracking, United States Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation, August, 1995.
REFERENCES NRC Generic Letter 95-05, Voltage-Based Repair Criteria for Westinghouse Steam Generator Tubes Affected by Outside Diameter Stress Corrosion Cracking, United States Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation, August, 1995.
: 2. Status of PVNGS Steam Generator Activities, Arizona Public Service Co.
: 2. Status of PVNGS Steam Generator Activities, Arizona Public Service Co.
Report, August, 1994.
Report, August, 1994.
: 3. Palo Verde Nuclear Generating Station Unit Two Steam Generator Tube Rupture Analysis Report, NRC submittal by Arizona Public Service Co.,
3.
Palo Verde Nuclear Generating Station Unit Two Steam Generator Tube Rupture Analysis Report, NRC submittal by Arizona Public Service Co.,
Docket No. STN 50-529, July, 1993.
Docket No. STN 50-529, July, 1993.
: 4. Sweeney,     K., "Palo Verde Nuclear Generating Station Unit 2 Steam Generator Evaluation", Arizona Public Service Co. Report, August, 1995.
: 4. Sweeney, K., "Palo Verde Nuclear Generating Station Unit 2 Steam Generator Evaluation", Arizona Public Service Co. Report, August, 1995.
: 5. Draft Regulatory Guide X.XX, Steam Generator Tube Integrity, 1996.
5.
: 6. Cochet, B, "Assessment of the Integrity of Steam Generator Tubes-Burst Test Results - Validation of       Rupture Criteria (FRAMATOME DATA)", Palo Alto, CA,"Electric Power Research Institute, June, 1991, NP-6865-L, Vol. 1.
6.
: 7. Hall, J.F., Fink, G.C., Magee, T.P., Molkenthin, J.P., and House, P.E.,
Draft Regulatory Guide X.XX, Steam Generator Tube Integrity, 1996.
    "Palo Verde-2 Steam Generator Tube Bend Region Examination and Metallurgical Evaluation", ABB Combustion           Engineering     Nuclear Operations, Report V-PENG-TR-005, January, 1995.
Cochet, B, "Assessment of the Integrity of Steam Generator Tubes-Burst Test Results
- Validation of Rupture Criteria (FRAMATOME DATA)", Palo Alto, CA,"Electric Power Research Institute, June,
: 1991, NP-6865-L, Vol. 1.
: 7. Hall, J.F.,
Fink, G.C., Magee, T.P., Molkenthin, J.P.,
and
: House, P.E.,
"Palo Verde-2 Steam Generator Tube Bend Region Examination and Metallurgical Evaluation",
ABB Combustion Engineering Nuclear Operations, Report V-PENG-TR-005, January, 1995.
: 8. Sykes, L.P., Redmond, K.R. and Sherburne, P.A., "Examination of Steam Generator Tubes from Palo Verde Nuclear Generating Station", BWNT and Babcock 5 Wilcox Co., October, 1993.
: 8. Sykes, L.P., Redmond, K.R. and Sherburne, P.A., "Examination of Steam Generator Tubes from Palo Verde Nuclear Generating Station", BWNT and Babcock 5 Wilcox Co., October, 1993.
: 9. Begley, J.A., "Burst Pressure of Tubes with Circumferential Cracks,"
: 9. Begley, J.A., "Burst Pressure of Tubes with Circumferential Cracks,"
APTECH Report to FPL, AES-C-2570-1, January, 19196.
APTECH Report to FPL, AES-C-2570-1, January, 19196.
: 10. Begley, J.A., Woodman, B.W., Brose, W.R., and Brown, S.D., "An Analysis of ODSCC/IGA at Eggcrate Support Locations at Arkansas Nuclear One (ANO) Unit 1," APTECH Report to Entergy Operations, Inc.,
: 10. Begley, J.A., Woodman, B.W., Brose, W.R.,
and
: Brown, S.D.,
"An Analysis of ODSCC/IGA at Eggcrate Support Locations at Arkansas Nuclear One (ANO) Unit 1," APTECH Report to Entergy Operations, Inc.,
AES 95102556-1-1, Rev. 1, April, 1996.
AES 95102556-1-1, Rev. 1, April, 1996.
Aptech Engineering Services, Inc.                             AES 96052749-1-1 68}}
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68 AES96052749-1-1}}

Latest revision as of 13:26, 8 January 2025

Analysis of Odscc/Iga at Tubesheet & Tube Support Locations at St Lucie Unit 1
ML17229A093
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Issue date: 10/31/1996
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St. Lucie Unit 1 Docket No. 50-335 L-96-273 Enclosure 2 IS APPLIEDTECHNOLOGY AES 96052749-1-1 October, 1996 ANALYSIS OF ODSCC/IGA AT TUBESHEET AND TUBE SUPPORT LOCATIONS AT ST. LUCIE UNIT 1 Prepared by J. A. Begley B. W. Woodman S.

D. Brown W. R. Brose APTECH ENGINEERING SERVICES, INC.

Prepared for Florida Power 5 Light 0'hi0280072 9hf024 PDR ADOCK 05000335 P

PDR,'PTECH ENGINEERING SERVICES, INC.

200 FLEET STREET o SUITE 4040 o PITTSBURGH o PA 15220 o (412) 92'>633 o FAX (412) 9204644 HEADQUARTERS o SUNNYVALE,CAo (408) 745-7000 OFFICES o UPPER MARLBORO, MD o (301) 599 2301 a GUMMING,GAo PTO) 781%756 a BETHLEHEM, PA a (610) 866 7347 HOUSTON, TX a (713) 558-3200 o CHATTANOOGA,TN o (615) 49W777 a GASTONIA, NC o (704) 865-6318

TABLE OF CONTENTS Section Pacae EXECUTIVE

SUMMARY

1 INTRODUCTION 1.1 IGA/ODSCC at Top of the Tubesheet 1.2 IGA/ODSCC at Lattice Supports 1.3 GA/ODSCC at Drilled Supports 1.4 IGA/ODSCC at Freespan Locations 2

STRUCTURAL REQUIRElVIENTS AND GENERAL CONSIDERATIONS 2.1 Axial Defects 2.2 Circumferential Defects 3

ANALYSIS INPUT PARAMETERS 3.1 Tubing Mechanical Properties 3.2 Degradation Length Distribution 3.3 Probability of Detection and Sizing Accuracy 3.4 Degradation Growth Rates 16 16 16 17 19 4

PROBABILISTIC MODELS 4.1 Circumferential Cracking'.2 Axial Cracking with Repair on Detection 4.3 Axial Cracking with Repair on Sizing 31 31 33 36 Aptech Engineering Services, Inc.

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5 STRUCTURAL MARGIN EVALUATION 5.1 Application of the Repair on Sizing Model 5.1.1 Benchmarking the Repair on Sizing Model 5.1.2 Computation of Burst Probabilities as a Function of Run Time for the Average Support 5.1.3 Burst Probabilities for IGA/ODSCC at Eggcrates, Tubesheet, and Vertical Supports 5.2 Application of the Repair on Detection Model for Axial Degradation 5.3 Application of the Repair of Detection Model for Circumferential Degradation 5.4 Summary of All Mechanisms 41 43 44 45 47 47 6

LEAKAGE EVALUATION 6.1 Projected Leak Rates for Axial Degradation in the Sludge Pile and at Lattice Type Supports 6.2 Projected Leak Rates for Circumferential Degradation 6.3 Projected Leak rates from Degradation at Drilled Support and Freespan Locations 6.4 Total Projected Leak Rate 59 60 61 61 62 7

SUMMARY

AND CONCLUSIONS 66 REFERENCES 68 Aptech Engineering Services, Inc.

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EXECUTIVE

SUMMARY

An evaluation of the significance of corrosion degradation on the structural integrity 'of Alloy 600 steam generator tubing at St.

Lucie Unit 1

was performed.

Outer diameter stress corrosion cracking/intergranular attack was considered at five types of locations.

These locations and degradation modes included:

~

circumferential degradation at explosive expansion transitions at the top of the tubesheet

~

axial degradation at the top of the tubesheet in the sludge pile

~

axial degradation at eggcrate and vertical strap (lattice type) tube support structures

~

axial degradation at drilled tube support structures

~

axial degradation at upper bundle freespan locations.

Several probabilistic run time models were employed.

Modeling included scenarios of both plug on detection and plug on sizing, depending on the mode and location of degradation.

Circumferential degradation at the top of the tubesheet, as well as axial degradation at freespan and drilled tube support locations, was modeled using a plug on detection scenario coupled with an RPC inspection scheme.

Modeling of axial degradation at other locations employed a bobbin probe inspection with a plug on sizing scenario.

Probabilistic computations of the conditional probability of burst and the magnitude of leakage under accident conditions were developed.

Calculational procedures were benchmarked by comparing predictions of the number and severity of eddy current indications with actual observations and by comparing predicted versus observed leakage during in situ testing.

Aptech Engineering Services, Inc.

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The results of probabilistic calculations indicate a conditional probability of tube burst summed over all corrosion mechanisms after a 14 month period of operation of 0.018.

For longer run times an upsweep in the conditional

'robability of burst is noted.

Hence, after 15 months of operation, the conditional probability of tube burst is calculated to be 0.044.

The total projected 95% upper bound leak rate after 15 months of operation is less than 4 gpm.

The conditional probability of very large leak rates is roughly on the same order as the conditional probability of burst.

The conditional probability of tube burst under postulated accident conditions is the limiting concern.

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SECTION 1-INTRODUCTION Steam generator tubing at St.

Lucie Unit 1

has experienced substantial corrosion degradation over the past 12 years of operation.

From eddy current inspection data and pulled tube examinations this degradation is outer C

diameter intergranular attack and stress corrosion cracking.

Axial degradation has been found at the top of the tubesheet in the sludge pile region,, at all types of tube support structures and, most recently, at a few upper bundle freespan locations.

Circumferential degradation has been observed on the outer diameter of tubing near the explosive expansion region at the top of the tubesheet.

Corrosion degradation and tube plugging has progressed to the point where the steam generators will be replaced at the end of the current cycle of operation.

This report describes an evaluation of the effect of corrosion degradation on the structural and leakage integrity of the steam generator tubing during the current cycle of operation.

Probabilistic methods are employed and several Monte Carlo simulation models have been used.

The following sections of the introduction provide an overview of the corrosion degradation experienced at various locations in the St.

Lucie steam generators and the type of analyses which have been conducted to evaluate the significance of this degradation.

1.1 IGA/ODSCC AT TOP OF THE TUBESHEET As noted

earlier, outer diameter circumferential degradation has been observed near the explosive expansion region at the top of the tubesheet.

At Aptech Engineering Services, Inc.

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the last inspection 165 indications were found during a

100%

RPC inspection (hot leg and cold leg) of this location in both steam 'generators.

These indications were removed from service.

Structural and leakage integrity were evaluated using a computer code developed as part of an industry sponsored EPRI project.

As described in a later section, this code makes projections of end-of-cycle conditions

-regarding degraded cross sectional areas with a procedure that essentially follows the method specified in NRC Generic Letter 95-05'or bobbin probe voltages.

Axial degradation at the top of the tubesheet in the sludge pile region was observed in the last inspection as well as several previous inspections.

The Monte Carlo simulation model applied to this circumstance is the same as that used for indications at lattice type tube support structures.

This model is summarized below.

1.2 IGA/ODSCC AT LATTICE SUPPORTS Axial corrosion degradation of tubing at tube support structures in ABB-CE steam generators is not a new phenomena.

This degradation process has been active at a slow but steady rate at St. Lucie Unit 1

since the mid 1980's.

Full bobbin probe eddy current inspections have been performed over the past 9 cycles of operation.

Bobbin probe inspections have proven to be an effective tool for the management of corrosion degradation.

Tubes with indications equal to or greater than the 40% through wall technical specification limit have been removed from service.

The past performance of St. Lucie Unit 1 in terms of operational leakage has been excellent.

In situ testing of tubes with large bobbin voltages and large phase angle depth calls demonstrated that Regulatory Guide 1.121 margins were maintained during the last cycle of operation.

The last cycle had a duration of 13.9 EFPM.

Aptech Engineering Services, Inc.

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Structural and leakage integrity evaluations for axial degradation at tube support structures were performed using a Monte Carlo simulation model.

This model has been highly successful in previous applications '

The processes of crack initiation, crack growth and detection of degradation via eddy current inspections are simulated in the Monte Carlo model

~ This model has been updated to include depth sizing after degradation is detected.

Measurement uncertainties are part of the simulation.

For degradation at support structures, bobbin probe probability of detection characteristics are applied as are bobbin depth call sizing errors.

Cracks with a perceived size less than 40% of the wall thickness are left in service in the simulation.

The true simulated depth versus perceived depth is tracked so that appropriate burst pressures and leak rates are calculated.

Detected and undetected crack populations are explicitly calculated and followed from cycle to cycle.

1.3 IGA/ODSCC AT DRILLED SUPPORTS During the (EOC-13) outage, drilled support plate locations were inspected using an RPC probe.

All detected indications were removed from service.

Approximately 800 tubes total were plugged due to RPC indications in drilled support plate crevices.

This number does not indicate a sudden surge in the indication population.

The previously applied plugging criteria was based on bobbin probe depth sizing.

The Monte Carlo simulation model of degradation of drilled support locations employed an RPC probability of detection curve coupled with a plug on detection repair criterion.

1.4 IGA/ODSCC AT FREESPAN LOCATIONS Bobbin indications and heightened concern for freespan degradation in the upper bundle, as experienced in similar steam generator designs',

led to an increase in the RPC examination scope.

Approximately 13,000 tubes were Aptech Engineering Services, Inc.

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examined via RPC in the upper bundle.

A total of 44 axial, non-volumetric freespan indications were removed from service.

This represents an early, mild incidence of freespan corrosion degradation.

In-situ pressure

testing, during the EOC-13 refueling outage, demonstrated that the most limiting freespan indications exceeded the structural requirements of Regulatory Guide 1.121.

The initiation, growth, MRPC detection and repair on detection Monte Carlo simulation model was applied to freespan degradation.

Hence, freespan indications and indications at drilled support plates were analyzed with the same type of simulation model.

The probabilistic evaluations of structural and leakage integrity of steam generator tubing at St. Lucie Unit 1 are the most sophisticated and complete run time analyses to date using a physically based approach.

The following sections of this report describe the models used in these evaluations, input f

data, benchmarking'tudies and finally, the end results.

Aptech Engineering Services, Inc.'ES96052749-1-1

SECTION 2 STRUCTURAL REQUIREMENTS AND GENERAL CONSIDERATIONS The focus of probabilistic structural integrity and leakage evaluations presented in subsequent sections is on a postulated main steam line break accident.

This is consistent with a new draft Regulatory Guide'n support of steam generator rule making.

The appropriate limiting accident case pressure differential is 2500 psi for St.

Lucie Unit 1.

Leakage and bursting are evaluated at this loading severity.

The conditional probability of burst at postulated accident conditions should not exceed 0.05 when all tube degradation mechanisms are considered.

The leak rate at a postulated accident event at end of cycle should not exceed the total charging pump capacity of the primary coolant

system, provided that radiological dose consequences do not exceed General Design Criteria 19 and 10 CFR Part 100 guidelines at this leak rate.

The following paragraphs describe the basis of structural integrity analyses for axial and circumferential degradation.

Characterizations of crack morphologies are presented.

Leak rate calculations are summarized.

These concepts form the framework of the probabilistic models used to project leak rate and burst behavior.

2.1 AXIALDEGRADATION From the perspective of leak rate and burst strength calculations, all axial corrosion degradation is idealized as single planar cracks.

This is conservative in the sense that the strengthening and leak limiting effects of Aptech Engineering Services, Inc.

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ligaments between crack segments in crack arrays are neglected.

The entire spectrum of IGA/ODSCC degradation morphologies can be represented as arrays of axial and circumferential cracks of varying diffuseness.

Leak and burst calculations are based on the single plariar crack extreme of the spectrum of possible morphologies.

Only the ligaments in the depth direction are considered to provide strengthening and leak limiting effects.

As in past APTECH models of axial cracking, the structural minimum method of computing the burst pressure associated with an arbitrary crack depth profile is utilized.

Figure 2.1 illustrates this approach using a triangular crack shape.

A selected portion of the total crack profile is first considered.

The average crack depth over this selected length is calculated.

This length and associated average depth is used as input to the Framatome axial partial through wall burst equation'.

Burst pressures for successively larger portions of the total crack profile are computed.

There exists some section of the total profile with a minimum burst pressure.

The length of this critical section of the total crack is termed the structurally significant length and the average depth over the structurally significant length is termed 'he structurally significant depth.

Figure 2.1 illustrates the minimum burst pressure calculation which identifies the critical section of the triangular crack profile.

The dotted rectangle shows the structurally significant length and the associated structurally significant depth.

Pulled tube burst data from Plant A first validated the structural minimum method and the use of the Framatome equation .

See Figure 2.2.

Almost all calculated burst pressures are conservative with respect to measured burst pressures.

This is mostly due to neglecting the strengthening effects of ligaments between axial crack segments and only considering ligamen'ts in the depth direction.

Burst tests of laboratory specimens with EDM machined slots support this contention.

Figure 2.3 illustrates the machined slots Aptech Engineering Services, Inc.

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shapes.

Figure 2.4 shows that use of the Framatome equation with the structural minimum method provides excellent predictions of actual burst behavior for long, deep cracks.

The predicted behavior of very short cracks is overly conservative.

A long crack is shown to be on the order of 1.5 inches.

It is important to use the Framatome equation and the structural minimum method to characterize the behavior of long cracks which penetrate the wall.

Figure 2.5 illustrates the relationship between maximum crack depth and structurally significant depth for pulled tubes from Plant A.

The ratio of these depths together with the structural minimum method define a crack shape.

In probabilistic analyses, crack shapes were obtained by sampling the pulled tube data of Plant A.

Tube examination reports and eddy current inspection data support the use of Plant A data in St. Lucie Unit 1 analyses.

Figure 2.6 shows that distributions of crack lengths needed for probabilistic analyses of axial degradation can be obtained from MRPC eddy current results.

Data from Plant A,

where destructive examinations verified structurally significant crack lengths, shows that the MRPC indicated lengths are usually

longer, and sometimes much
longer, than the structurally significant lengths.

Hence, use of the distribution of MRPC crack lengths in probabilistic analyses of axial degradation is conservative.

The MRPC crack lengths distribution is more adverse than the distribution of structurally significant lengths.

2.2 CIRCUMFERENTIALDEGRADATION Circumferential degradation is modeled as cracking.'n computing burst pressures, the total degraded cross sectional area of the tube is assumed to be present in the form of a single through wall crack with an equivalent area.

Aptech Engineering Services, Inc.

AES96052749-1-1

This morphology leads to a maximum bending effect and a lower bound burst pressure.

There are several burst pressure equations for tubing containing circumferential cracks'.

All are some version of plastic collapse or limit load approaches.

There are relatively small differences in burst pressure predictions since the various equations agree well with test data.

Results of a plastic zone instability analysis are illustrated in Figure 2.7.

At postulated accident conditions, approximately 80% of the tube cross sectional may be degraded without a tube burst.

At this loading

level, in plane crack morphology and bending effects are relatively unimportant and the burst pressure is simply based on the resultant axial load, the net area of the cross section and the average flow strength of the material.

One area of conservatism is the neglect of the strengthening effects of out-of-plane ligaments.

These ligaments between out-of-plane crack segments must rupture in a burst event.

With regard to leakage, the degraded cross sectional area is apportioned to an array of through wall cracks in a manner which maximizes the leak rate for a given level of degraded area.

For leak rate calculation purposes, crack array morphologies are selected according to the following procedures developed as part of the industry-wide EPRI program on circumferential cracking.

Examination of 37 pulled tube profiles shows that circumferential degradation can be effectively modeled as several depth crack segments with a shallower degradation background.

The number of deep crack segments ranges from 0 to 4:

There is approximately a 2% chance of either 0 or 4 deep crack segments and a 32% chance of either 1, 2 or 3 deep crack segments.

The circumferential arc length of the deep crack segments is selected from a Weibull distribution of deep crack segment lengths.

This Weibull distribution has been constructed from a combination of pulled tube destructive examination data and field call phase angle crack profiles of explosive expansion transitions.

Aptech Engineering Services, Inc.

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aQ IL g I5 0,III 0 CI lL Q

0"V OOOO ~ 0 ~

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CALCULATEDBURST PRESSURE VERSUS LENGTH OF CENTRAL CRACK SECTION e

Figure 2.'I ILLVSTRATIONOF THE STRVCTVRALMINIMVMMETHOD Aptech Engineering Services, Inc.

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12000 10000 8000 yO 0

6000 4

4000 0

2000

+~ugZURALLYSlGNFfCAMTDEPTH 2000 4m 8000 NXm 1m00 MQRMAUZEDQHBERVED HURST PRESSURE, PR 12000 Figure 2.2 PREDlCTED BURST PRESSURE VERSUS NORMALlZED OBSERVED BURST PRESSURE, PLANT A PULLED TUBE DATA Aptech Engineering Services, inc.

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Figure 2.3 CRACK SHAPES (NCLUDED lN TEST PROGRAM Aptech Engineering Services, Inc.

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10000 9000 8000 STRUCTURAL MINIMUM METHOD FRAMATOMEEQUATION 8000 5000

.t"-

mdo SHORT CRACKS a~

3000 2000 LONG CRACKS 1S'OOO 0

1000 2000 3000 4000 5000 6000 7000 NOO GDDO 10000 MEASURED BURST PRESSURE, PSl Figure 2.4 RESULTS OF EDM SLOT MACHINED SAMPLE BURST TEST PROGRAM Aptech Engineering Services, inc.

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0.9 0

0.8 0.7 x

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Figure 2.5 MAXtMUMCRACK DEPTH VERSUS STRUCTURAL CRACK DEPTH, PLANT A PULLED TUBE DATA Aptech Engineering Services, Inc.

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2.50 N

1.50 D

lLi hCV 1.00 0.50 0.00 0.00 0.50 1.00 MG 2.an

~a~~~y SfanfPJQ+ffj QUACKLEHGTH>INCHES Figure 2.6 RPC CRACK LENGTH VERSUS STRUCTURALLYSiGNiFiCANT CRACK LENGTH, PLANT A PULLED TUBE DATA Aptech Engineering Services, Inc.

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SECTION 3 ANALYSIS INPUT PARAMETERS Input parameters to probabilistic evaluations of structural and leakage integrity are presented in this section.

The distribution of strength properties is not a major issue.

These properties are remarkably similar across a broad range of steam generator designs.

Degradation length distributions are based on plant specific data from St. Lucie Unit 1and agree well with observations at other units '

~

The analysis inputs which have the most effect on burst and leakage probabilities are the degradation growth rates and the efficacy of NDE inspection procedures both with respect to detection capability and depth sizing uncertainty.

Attention is focused on these most important input elements.

3.1 TUBING MECHANICALPROPERTIES A histogram of the sum of yield and ultimate strengths for tubing in Plant B is shown in Figure 3.1'c.

This plant is essentially a sister plant to St. Lucie Unit 1.

The tubing is the same size and the processing procedures are equivalent.

Use of Plant B data for St. Lucie Unit 1 is appropriate.

As noted above, strength distributions are similar even for plants of different designs and vendors.

In particular, lower tolerance limit properties are nearly equivalent even for different heat treatment procedures.

This includes high temperature and low temperature mill annealed, thermally treated and sensitized tubing.

3.2 DEGRADATION LENGTH DISTRIBUTION The concept of structurally significant crack lengths and depths was discussed in section 2.

It has been shown that the distribution of axial Aptech fngineering Services, Inc.

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OCT. 1S. 1996 2:88 O.S63

'.2 degradation lengths from RPC eddy current data is a good to conservative estimate of the distribution of structurally significant degradation lengths.

When whole data sets are considered rather than selected individual indications, the portions of actual physical degradation not detected by the RPC probe are not structurally significant.

Over 200 RPC characterizations of axial degradation lengths at the last outage of St. Lucie Unit 1 were used to construct the sampling distribution for structurally significant lengths.

This distribution is illustrated in Figure 3.2.

3.3 PROBASlLITYOF DETECTION AND SIZING ACCURACY ln the present evaluation, the issue of sizing uncertainty is pertinent to axial degradation at lattice type tube support locations and in the sludge pile.

Here probabiiistic modeling is conducted with a plug on sizing criterion.

indications with bobbin probe depth calls equal to or greater than 40% of the wall thickness are removed from service.

The true degradation depth may be greater or less than the measured or perceived depth.

Since burst and leakage properties depend on the true depth of degradation, sizing uncertainties must be properly considered.

Florida Power and Light has compiled bobbin probe sizing data from pulled tubes and some laboratory produced corrosion degraded tubes.

Data from tubes removed from St. Lucia Unit 1

are included.

Figures 3.3 and 3,4 illustrate a comparison of axial corrosion degradation depth from bobbin probe phase angle data versus maximum degradation depth determined from destructive examination.

Figure 3.3 deals with sludge pile and lattice type crevice degradation while Figure 3.4 is devoted to axial degradatfon at drilled tube support crevices.

From Figure 3.3 it is evident that, in general, the bobbin probe underestimates the maximum depth of degradation.

An indicated depth is about 0.86 of the actual maximum degradation depth.

For axial degradation in the sludge pile and at lattice type support structures, the Aptech Engineering Services, inc.

17 AES96052749-1 -'I

OCT. 15. 1996 2: 89PN N0.863 P.3 standard error of estimate of actual maximum depth from bobbin probe measured depth is slightly less than 11% of the wall thickness.

It should be noted than one point was deleted from the database where the bobbin depth call grossly over-estimated the actual maximum depth and was considered to be an outlier.

Systematic and random bobbin probe sizing errors have been identified and included in probabilistic modeling.

The data in Figure 3.4 can be used to construct a curve of the probability of detection of axial corrosion de gradation as a

function of maximum degradation depth.

Note the number of points where there is no indication of a bobbin probe depth call but a plotted actual maximum depth.

These instances of degradation were undetected by the bobbin probe.

This data together with the detected instances of degradation can be used to construct a curve or probability of detection versus degradation depth.

In Figure 3.5, detected degradation is plotted at an ordinate value of 1 while a value of 0 represents undetected degradation.

In this figure, data from laboratory samples are excluded as are four instances of cold leg degradation and two low level (13% and 19%i Instances of degradatlon detected by the bobbin probe.

A log logistic fit to the data is shown in Figure 3.5.

Cauchy, Gauss and Weibull fits were examined.

The log logistic fit was selected as the best representation of the probability of detection versus depth.

Use of the logarithm of degradation depth is physically realistic.

For corrosion degradation, signal amplitude is insensitive to depth at very low depths but highly sensitive at large depths.

The actual curve of probability of detection for the bobbin prove which was used in calculations is shown in Figure 3.6 As a measure of conservatism, all detected bobbin indications less than 40%

in actual depth were eliminated and a new log logistic fit to the data was obtained.

The resultant probability of detection curve is shifted to higher Aptech Engineering Services, inc.

AESS 6062749-1-1

OCT. 15. 1996 2: 89PN N0.863 P.4 levels of degradation.

At a degradation depth of 40%, the probability of detection drops from about 0.62 to about0.42.

In the case of axial degradation at freespan and drilled tube support locations, RPC inspections were simulated in the probabilistic model.

A probability of detection curve determined from pulled tube data from Plant A was used in these calculations.

This curve is shown in Figure 3.7.

The abcissa is the structurally significant degradation depth.

The maximum depth is higher by a factor of approximately 1.27.

The RPC probability of detection curve is viewed as conservative.

It is more adverse than the industry wide curve of Reference 2.

Differences in tubing manufacturing processes indicate that detection of freespan degradation at St. Lucie Unit 1 may be somewhat less difficultthan in Plant A. A supporting fact ls that the bobbin probe at both St. Lucie Unit 1 and Plant B detected nearly half of the RPC freespan indications.

The hit rate of the bobbin probe versus RPC results at h

Plant A is significantly lower.

3A DEGRADATlON GROWTH RATES Growth of degradation for circumferential cracking was characterized in terms of changes in the percentage degraded cross sectional area.

The EPRI C

sizing approach,was used for determining degradation depth at many locations around the circumference of a degraded tube.

Degradation depth versus circumferential location was converted to total degraded area and expressed as a percentage of tubing annular cross sectional area.

Circumferential indications detected by RPC inspections ln the recent outage were sized and records were searched for precursor signals in the previous outage.

Approximately 160 growth data points were obtained.

The resulting distributions of growth rates are illustrated in Figure 3.8.

The cumulative fraction of observations is plotted versus growth rate for steam Aptech Engineering Services, inc.

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OCT. 15. 1996 2:18 O.

863 P. 5 generator A and B at St. Lucia Unit i.

Data from Plant B is also plotted for comparison.

lt should be noted that sizing of circumferential cracks in explosive expansion transitions is not as difficult as sizing of circumferential cracks in hard roll transitions.

Explosive expansions have a

more gradual transition from expanded to unexpanded regions.

Comparisons of measured degraded areas from RPC data with destructive examination results for explosive expansion transition are reasonably good.

These comparisons are much better for explosive transitions than for hard roll transitions.

For axial degradation, a plug on sizing approach with bobbin probe eddy current inspections led to an extensive set of growth data.

Stringent location criteria were applied to make certain that the same indication was compared from one outage to the next.

Over 2300 pairs on bobbin depth growth pairs were used to construct an apparent growth rate distribution.

A histogram of bobbin depth growth rates is shown in Figure 3.9.

The global average apparent growth is slightly below 1%.

This indicates that sizing error is a major contributor to the apparent growth rates.

The average of the positive growth rates is about 4.6% through wail per effective power year.

The maximum apparent growth rate is 35%

EFPY.

ln probabilistlc evaluations, negative growth rates were considered as zero growth.

The growth rate data was then sampled directly.

For any given growth rate data point, the true growth rate may be larger or smaller than the apparent growth rate be'cause of sizing errors.

However, when a

large population or distribution of growth rates is considered, measurement errors must increase both the high and low extreme tails of the measured or apparent growth rates compared to the extremes of the Aptech Engineering Services, Inc, 20 AES86052748-)-1

OCT. 15. 1996, 2: 18PN N0.863 P.6 distribution of true growth rates.

In the present case of a very large number of data points, the apparent growth rates, used as described above, provide a conservative estimate of true degradation growth.

Aptech Engineering Services, Inc.

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1800 PLANT B SG A = SG B 1600 1400 1200 m

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22 AES96052749-1-1

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0 10 20 a0 40

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tt0 100 IHAXIMUNICRACK DEPTH, % THROUGH WAM DESTRUCTIVE EXAMINATION FI8ure 3 3 BOBBIN PROBE DEPTH CALLS VERSUS MAXIMUM DEPTH DESTRUCTIVE EXAMINATIONRESULTS (FPL SIZING PROCEDURES APPLIED)

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OCT. 15. 1996 2: iiPM H0.863 P.8 EPRl Bobbin Coll QualNoatkm forODSCC at OrNed Suyyatt Ptatca FPL Slalng Technique'(exotudaa NQlcalla)

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10 Maximum Crack Depth, % Through Wall Destructive Examination Figure 3.4 BOBBIN DEPTH CALLS VERSUS NIAXINIUMDEPTH DESTRUCTIVE EXAMINATIONRESULTS, DRILLED TUBE SUPPORT PLATES Aptech Engineering Services, Inc.

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COO OA 0

0 10 20 30 40 50 50 70 50 10 100 MAX!RIMCRACKDEPTH,% THROUGH lVALL Figure 3.5 BOBBIN PROBE LOG LOGISTIC PROBABILITYOF DETECTION CURVE BASED ON PULLED TUBE DATA Aptech Engineering Services, Inc.

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0$

O O

0 QJ$

0 30 40 50 60 70 M

QO 100 KNQQUMCRAClC DEPTH, /o THROUGHWALL

~

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Figure 3.6 BOBBIN PROBE LOG LOGISTIC PROBABILITYOF DETECTION CURVE USED IN PROBABILISITC EVALUATIONS. INSTANCES OF BOBBIN PROBE DETECTED DEGRADATION LESS THAN 40% EXCLUDED Aptech Engineering Services, Inc.

27 AES96052749 1

1

MRPC PROBABILITYOF DETECTION llERSUS AXIALCRACKDEPTH PLANTA PULLED TUBE DATABASE 0.1 0

0 10 20 37 40 50 M

70 80 NI 100 slRUQIURALAYERAQEcRAcKDspnl'/i IRRODQHwAlL Figure 3.7 RPC PROBABlLITYOF DETECTlON CURVE BASED ON PLANT A PULLED TUBE DATA Aptech Engineering Services, inc.

28 AES96052749-1-1

0.9 ST. LUCIE UNIT 1 4

S/G Bw 4

4 x

4 X

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15 DELTAPDA/EFPY 30 Figure 3.8 CHANGE lN PERCENT DEGRADED ClRCUMFERENTlALAREA PER EFPY Aptech Engineering Services, Inc.

29 AES9 6052749-1-1

400 300 250 Q

0 o

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100 50 e

cv cl

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GROWTH RATE, % THROUGH WALUEFPY Figure 3.9 AXIALDEGRADATION GROWTH RATES FROM BOBBIN INDICATIONSAT ST. LUCIE UNIT 1 Aptech Engineering Services, Inc.

30 AES96052749-1-1

SECTION 4 PROBABILISTIC MODELS Three variants of probabilistic structural and leakage integrity models were used in the overall evaluation of the significance of corrosion degradation in steam generator tubing at St. Lucie Unit 1. These models are:

~

circumferential degradation, MRPC inspection, repair on detection

~

axial degradation, MRPC inspection, repair on detection

~

axial degradation, bobbin probe inspection, repair on sizing Each of these models is described in turn in the following subsections.

4.1 CIRCUMFERENTIALCRACKING For burst evaluations, circumferential degradation is modeled as a single planar crack.

The characterizing parameter is degraded area expressed as a percentage of the cross sectional area of the tube, PDA.

Projections of end of cycle conditions regarding number of degraded tubes and the severity of degradation, PDA, are patterned after NRC Generic Letter 95-05.

Instead of projected end of cycle bobbin voltages, PDA values are projected.

Details of the method of projection are as follows.

The probability of detection is a constant value of 0.6.

The number of degraded tubes at beginning of cycle with a given PDA is given by:

(il NEOC NLAST [

)

- NREP 10.6)

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31 AES96052749-1-1

where NL>> is the number of tubes found in the last inspection at the PDA value of interest and Nssp is the number repaired.

With a plug on detection repair criterion, N is equal to N~>>. The beginning of cycle PDA is adjusted for random measurement error and a random growth increment is added to determine the severity of degradation at end of cycle.

Monte Carlo simulation is used.

A lower bound burst curve is used as described in Section 2.

Naturally, variations in tensile properties are included.

Growth rates are sampled directly from as measured growth rate data.

Negative growth rates are included as zero growth rates.

At a given PDA value, a wide variety of crack morphologies are possible.

Leak rates depend sensitively on the actual crack morphology.

It is totally unrealistic to assign the total degraded area to a single through wall crack.

The very large degradation tolerance for circumferential cracking would lead to huge leak rates if this bounding assumption were uniformly applied.

Instead, as described in Section 2, the degraded area is apportion to an array of cracks.

These crack arrays are developed from a Monte Carlo sampling process based on pulled tube actual crack profiles.

The sampling process allows for both occasional very large single through wall cracks and very large axisymetric non-leaking cracks.

Within a given crack array, the total degraded area is apportioned to produce the largest total leak rate per tube.

The final analysis produces an EOC cycle distribution of leak rates.

The upper bound 95 percentile leak rate is selected as the characterizing value.

The computer code used for the analysis of circumferential degradation is termed CIRC95.

It was developed jointly by Westinghouse and APTECH as part of an industry-wide program on circumferential cracking at expansion transitions.

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32 AES96052749-1-1

4.2 AXIALCRACKING WITH REPAIR ON DETECTION The probabilistic model for axial cracking with repair on detection is a slightly modified version of the APTECH model used for the Plant A analyses of IGA/ODSCC at freespan locations.

The probabilistic model consists of a Monte Carlo simulation of the processes of crack initiation, growth, eddy current inspection and repair/removal of degraded tubes.

The current APTECH model simulates the behavior of up to 10,000 individual cracks for five operating periods.

Larger populations are accommodated by dividing the steam generator into several risk groups, each of which can be individually simulated.

The actual simulation process is shown in Figure 4.1, which describes the execution of one Monte Carlo trial.

The first step in the process is that of defect tagging in which the attributes that define the nature of the defect for the entire period of analysis, are determined.

These defect attributes include:

~

Initiation time

~

Growth rates for each operating period

~

Tube material properties (flow stress)

~

Defect characteristic length Each of these attributes is obtained by sampling from an appropriate probability distribution function as described in Section 3 of this report.

The second step in the simulation process is to compute the size of the defect at each inspection time.

The result of this step is a matrix of crack structural depths (D,i) corresponding to time values (Ti) where the index i

denotes the ith inspection and the index, denotes the,th defect.

At this Aptech Engineering Services, Inc.

33 AES96052749-1-1

point in the simulation the characteristics necessary to determine the structural integrity of each simulated defect have been obtained.

The third step in the simulation process is to numerically inspect each defect to determine at which inspection the defect is detected and removed from service.

This is accomplished by random selection using the appropriate eddy current POD function.

A detection/repair state identity matrix is developed (ID,j) in which a value of 0 denotes an undetected

defect, a value of 1 denotes a detected defect and a value of 2 denotes a repaired defect.

For the repair-on-detection simulation, a value of 2 is assigned for the following inspection immediately on detection.

The final step in the simulation process is the identification of defects which have progressed to the point where tube burst or leakage can be expected.

For a given inspection

(,), each defect has three important attributes, which I

in combination, determine the structural and leakage integrity:

~

Structural average depth (Dfj)

~

Structural length

~

Maximum depth (4/II x Dfi)

Two attributes determine if a defect is to be counted as a burst in the simulation.

These are the critical crack length and critical structural depth for the defect which are computed from the Framatome equations discussed in Section 2.

A defect is counted as a burst in the,.th inspection if three conditions are met:

~

The defect structural depth is greater than or equal to the critical depth Aptech Engineering Services, Inc.

34 AES96052749-1-1

The defect characteristic length is greater than or equal to the critical length

~

The defect is undetected or newly detected Defects which are too short to cause a burst, but of sufficient depth, are counted in a

separate category which affects leakage integrity.

These defects can "pop-through" under accident loading to their full structural length, and are assumed to behave in this manner.

The characteristics of each defect of this type are stored in a special output file for use in separate leakage calculations.

The third class of important defect is the stable through wall defect for which the maximum computed depth exceeds 100%

of the tube wall thickness.

The characteristics of each defect of this type are stored in the same output file as those of the "pop-through" defects for subsequent leakage analysis.

Figure 4.1 shows the logic structure for the defect classification process.

At this point, one trial of the Monte Carlo simulation is complete.

The key information available from this stage of the simulation includes numbers of:

~

Defects detected

~

Bursts predicted

~

Pop-through defects predicted

~

Stable leakage defects predicted The probabilistic run-time analysis consists of many thousands of repeated trials which are used to obtain probability distribution functions for the frequencies and magnitudes of defects which can comprise the structural and/or leakage integrity of a steam generator.

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4.3 AXIALCRACKING WITH REPAIR ON SIZING The probabilistic model for axial cracking with repair on sizing, while identical in concept with that for repair on detection, has two important distinctions.

The first of these is the incorporation of an additional simulation component which simulates the sizing process by bobbin coil phase angle and its measurement uncertainty.

The implication of this feature is that a defect cannot be removed from service until two conditions are met:

~

Detection h

~

Measured depth greater than 40% through wall This, of course, results in simulated defect structural depths of greater than 40% through wall remaining in service.

The consequence of this is less tolerance in the simulation to extremes in defect growth rate.

The second important distinction between the repair on sizing and repair on detection probabilistic models is the incorporation of an additional probabilistic defect attribute in the first step in the Monte Carlo process.

This additional attribute is the form factor which relates the crack maximum depth to the average structural depth.

As with other attributes, such as defect characteristic length and material properties, the form factor remains with the simulated defect throughout the simulation trial ~

The effect of a randomized form factor on the simulation outcome is to increase the number of through wall defects for large defect populations such as for lattice support and tubesheet axial IGA/ODSCC in the present analysis.

The derivation of the form factor probability distribution function and implications regarding the range of defect shapes are discussed in Section 2.

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The simulation of the repair on sizing process is a modification of the inspection step discussed in Section 4.2 and described in Figure 4.1 for the repair on detection model ~

In that case the detection/repair state identity matrix (ID) was automatically updated to repaired status (2) in the cycle following detection.

In the repair on sizing simulation the process is more

complex, requiring a separate process to simulate bobbin coil inspection results.

The repair on sizing process is shown in Figure 4.2.

The first step in this process is to create a bobbin coil depth matrix (DB,i) from the defect structural depth matrix (Dg)

Each element of the bobbin coil depth matrix is given by:

Db,i = A, + A,'Dij +

R.

where:

Db,i

apparent bobbin depth AA,= coefficients from Appendix H qualification regression analysis A,'

A, x Form Factor (MAXDEPTH/STRUCTURAL AVERAGE R,i DEPTH)

= random error component from Appendix H correlation The bobbin coil depth matrix provides the basis for removing a defect from further service.

As shown in figure 4.2, if the defect has been detected and the apparent bobbin depth is greater than 40%

through

wall, the detection/repair state identity matrix (ID,i) value is set to 2 for the following inspection.

If the defect has been detected and the bobbin coil apparent depth is less than 40%, the detection/repair state identity matrix value is set to 1 for the following cycle and the defect remains in service.

It should be noted that the random error component (R,i) can be of the order of +20%

through wall resulting in simulated repair of defects with structural depths considerably under 40% through walt and continued service of defects with Aptech Engineering Services, Inc.

37 AES96052749-1-1

structural depths considerably over 40% through wall.

This behavior is accommodated in the probabilistic run time model.

Aptech Engineering Services, Inc.

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PDENTICALFOR ALLDEFECTS]

COMPUTE DEPTHS:

o MAXIMUMDMAXij= Dij*Fi Fi=FORM FACTOR, iTH DEFECT o DBOBBINij= fg)MAXij)+UNC

[FROM APPENDIX-HQUAL.

DATA]

REPEAT FOR:

ALLDEFECTS ALLCYCLES DETERMINEREPAIR STATUS:

o SET REPAIR STATUS TO 2 IFo I DEFECT IS DETECIVD BASED ON DMAXij[AND]

2 DBOBBINij> 40%

THROUGHWALL o SET REPAIR STATUS TO I IF.

I DEFECT IS DETECTED Figure 4.2 REPAIR ON SIZING SCHEMATIC Aptech Engineering Services, Inc.

40 AESS 605 274g-1-1

SECTION 5 STRUCTURAL MARGIN EVALUATION The probability of a tube burst, given a postulated main steam line break (MSLB) accident at end of cycle, is the basic parameter of interest in the structural margin evaluation.

A reasonable figure of merit for the conditional probability of a MSLB tube burst is provided by a historical value of 0.05.

A value less than 0.01 provides a recognized benchmark of structural integrity.

The purposes of this section are threefold.

The first is to describe the application of the probabilistic models described in Section 4 to the various degradation modes present in the St. Lucie Unit 1 steam generators.

The second purpose is to describe the various model benchmarks with St. Lucie Unit 1 data.

The third purpose is to summarize the results of the structural margin evaluations for the various modes of degradation present at St. Lucie Unit 1, 5.1 APPLICATION OF THE REPAIR ON SIZING MODEL The repair on sizing (ROS) probabilistic run time model was specifically designed for the simulation of structural margin in three degradation modes present at St. Lucie Unit 1:

~

IGA/ODSCC at eggcrate supports

~

IGA/ODSCC at the tubesheet (axial only)

~

IGA/ODSCC at vertical supports Aptech Engineering Services, Inc.

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A summary of defects at these locations for outages beginning in 1991 is given in Tables 5.1 and 5.2 for the A and B steam generators.

For the 1996

outage, which is the primary benchmark for the probabilistic model,'

combined total of 11.3 thousand defects were recorded for steam generator A for the three degradation modes considered by the repair on sizing model.

Of

these, approximately 9

thousand had been recorded in previous inspections.

Steam generator B was significantly less affected with a total l

of 7.2 thousand indications recorded in 1996 attributed to the three degradation modes.

The sheer number of defects involved in the analysis required a division of the problem into computationally manageable subregions.

This necessity resulted in the development of a model representing an "average" support.

The average support model for the St.

Lucie Unit 1

steam generators consists of 10,000 defect initiation sites.

The 1993, 1994, 1996 outages are explicitly modelled with the current operating period as the final inspection point at which MSLB burst probabilities are computed.

The other required input for the model is described in Section 3.

The average support model is generic in that it is applied to all axial IGA/ODSCC modes in the St.

'ucie Unit 1 steam generators with a repair on sizing plugging criterion.

Figure 5.1 shows the behavior of the average support model in terms of defects initiated and defects detected at several inspection points.

Figure 5.2 shows the average support behavior normalized to the number of observed defects in the A steam generator for the 1996 inspection.

The normalization factor required is approximately 14.4 for the most affected steam generator, A.

Since the postulated MSLB accident results in a high structural loading only in the one steam generator A, which has substantially more degraded tubes, was chosen for structural margin computations.

Aptech Engineering Services, Inc.

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The overall probability of burst under MSLB loading for a steam generator with various numbers of observed defects at several support levels can be expressed as:

Pe =1. - (1-P>) (1-P2)......(1-PN)

[5.1]

where:

P, = overall burst probability PN PR x NN/NR N= number of observed defects at N'" support NR = number of observed defects at average support PR probability of burst at average support 5.1.1 Benchmarking the Repair on Sizing Model The situation where a defect can progress to become a burst "candidate" under MSLB loading is shown conceptually in Figure 5.3.

In essence, the allowable defect growth is probabilistically defined by the difference between the distributions of beginning of cycle, BOC, structural depths and end of cycle allowable depths.

This suggests that two benchmarks are of particular importance in the case of St. Lucie Unit 1.

The first is related to the BOC distribution and consists of a comparison of the portion of the population with observed depths greater than 40% through wall for the 1996 outage with that simulated in the model.

This comparison is shown in Figure 5.4 for the worst supports in each steam generator.

The model predictions are shown to be conservative in this regard.

The second benchmark is related to the extremes at EOC.

The comparison 1

of numbers of observed defects in 1996 exceeding 80% through wall with Aptech Engineering Services, Inc.

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those predicted by the model provides the second benchmark.

Figure 5.5 is the distribution of number of defects exceeding 80% through wall (bobbin coil phase angle) as predicted by the model for steam generator A in 1996.

The actual number observed is 6.

This is considerably lower than the best estimate of 12 from the simulation.

These obvious elements of conservatism in the benchmark results are, in fact, an unavoidable result of the "recipe" for inferring the apparent growth rate distribution from NDE data which inherently includes sizing errors.

5.1.2 Computation of Burst Probabilities as a Function of Run Time for the Average Support The repair on sizing model was run for three simulated operating cycle lengths to evaluate the variation of burst probability with run time for the current St. Lucie Unit 1 operating cycle.

Operating periods of 13, 14 and 15 months were simulated.

The 13 month and 14 month simulations consisted of 20,000 trials each.

The 15 month simulation consisted of 40,000 trials.

The "raw" outcome from each simulation is shown in Table 5.3 in terms of number of simulated bursts under MSLB loading at end of cycle.

Because of the relatively low frequency of burst observed in these

cases, the probabilities were adjusted to give high confidence estimates of the frequency of burst.

The frequencies were adjusted such that the probability of observing N (or less) occurrences was less than 5%, where N occurrences were observed in the simulation.

As can be seen from Table 5.3 and Figure 5.6, the risk of tube burst versus run time has a characteristic upsweep in the 14 month/15 months run time interval.

Also shown in Figure 5.6 is an overall risk for steam generator A Aptech Engineering Services, Inc.

AES9 6052749-1-1

due to the IGA/ODSCC attack at eggcrate, tubesheet (axial only), and vertical supports.

The overall probabilities were approximately by:

Pa

=

1 -(1-P)

[5.2l where:

P,

= burst probability at all supports Pg Pgs at average support M

=-1 5

=

number of average supports in steam generator (generator A = 14.4) 5.1.3 Burst Probabilities for IGA/OSDCC at Eggcrates, Tubesheet, and Vertical Supports The results obtained for the average supports can be used to apportion the risk of tube rupture to the three subgroups defined by location within the steam generator.

The first subgroup consists of defects at eggcrate locations.

As seen from Table 5.1, approximately 6,500 of the 11,300 indications present in the A steam generator are at eggcrate locations.

Also from Table 5.1, approximately 1,000 indications are present in the vertical supports and 3,800 are present in the tubesheet region.

Table 5.4 shows the risk of tube rupture apportioned to the three degradation modes using Equation 5.1.

It can be seen that the most significant component of risk is associated with the eggcrate locations due to the relatively larger number of indications present in the 1996 inspection.

5.2 APPLICATION OF THE REPAIR ON DETECTION MODEL FOR AXIALDEGRADATION The repair criterion in the original probabilistic initiation, growth and inspection model was simply one of detection.

This model has been well benchmarked in the past.

Predicted end of cycle conditions have been Aptech Engineering Services, Inc.

AES96052749-1-1

demonstrated by later actual inspections to be on the conservative side of very good.

This model has been applied to axial degradation at St. Lucie Unit 1 at freespan and drilled tube support locations with results as described below.

The number of additional freespan indications expected at the end of the current cycle for a 'l5 month run time is about 12.

The additional run time represents an increase in total operating time of about 10% relative to the cumulative operating time at the last inspection when 24 freespan indications were found in the worst steam generator.

Even for very high slopes in the Weibull initiation function, the total number of expected freespan indications is very low. lt is no surprise that in 10,000 simulations of steam generator operation for up to 15 months of operating time no instances of burst under postulated accident conditions were, encountered.

Similarly no instances of through wall penetration occurred.

The conditional probability of burst at postulated accident conditions is less than 0.0001.

This is negligible compared to the total conditional probability of burst when other mechanisms are considered.

The same is true for the risk of leakage at postulated accident conditions.

Freespan degradation as analyzed is not a significant factor in the total structural and leakage integrity analysis.

A more substantial number of indications of axial degradation are expected at drilled support plates in the upper bundle.

Approximately 280 additional indications is the expectation after 15 months of operation.

With this time frame, the contribution to the conditional probability of tube burst is 0.0017.

This is not a substantial term relative to recognized figures of merit.

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5.3 APPLICATION OF THE REPAIR ON DETECTION MODEL FOR CIRCUMFERENTIALDEGRADATION With a projection scheme the same as NRC Letter 95-05, the expected number of circumferential indications at the end of the current cycle is 61.

This number, in essence, refers to the expected number of substantially sized indications.

With a plug on detection repair criterion, approximately 0.66 of the previously plugged indications are considered to be present at beginning of cycle.

The severity of these BOC indications is effectively increased by the application of a sizing error.

The extremes of the distribution of assumed BOC percent degraded area values are increased by this process.

After the severity of the BOC population of circumferential degraded tubes is defined, growth allowances are added to develop the projected end of cycle conditions.

Monte Carlo simulations are used to include sizing errors and growth allowances.

Typically 10,000 simulations of a steam generator operating cycle are performed.

The number of observed bursts at postulated accident conditions at EOC allow calculation of the conditional probability of burst.

For a

15 month run

period, the contribution of circumferential degradation to the conditional probability of tube burst is 0.0025 using a

very conservative projection of end of cycle conditions.

5A SUIVIMARYOF ALLIVIECHANISMS As discussed in the preceding paragraphs, the following locations and modes of corrosion degradation were evaluated:

~

Axial degradation at the top of the tubesheet in the sludge pile

~

Axial degradation at eggcrate and vertical strap (lattice type) tube support structures Aptech Engineering Services, Inc.

47 AES96052749-1-1

~

Circumferential degradation at explosive expansion transitions at the top of the tubesheet

~

Axial degradation at drilled tube support structures

~

Axial degradation at upper bundle freespan locations The dominant contributors to the conditional probability of burst at postulated accident conditions are axial degradation at lattice type tube supports and in the sludge pile at the top of the tubesheet.

Figure 5.7 shows a plot of conditional probability of tube burst versus operating time for the limiting steam generator., Two curves are shown, a summary curve including all mechanisms and a curve showing the contribution of axial degradation in the sludge pile and at lattice type supports.

An upsweep in conditional probability of tube burst begins in the vicinity of 14 months of operation.

At 14 months the calculated conditional probability of tube burst is 0.018.

At 15 months, the calculated conditional probability of tube burst is 0.044.

Aptech Engineering Services, Inc.

48 AES96052749-1-1

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54 AES9 6052749-1-1

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Aptech Engineering Services, Inc.

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58 AES96052749-'l-1

SECTION 6 LEAKAGE EVALUATION Three types of leakage analyses were conducted.

The most sophisticated models were applied to axial degradation in the sludge pile and at lattice type supports and to circumferential degradation at explosive expansion transitions.

An early leakage model for axial freespan cracking was applied to axial degradation at freespan and drilled tube support locations.

As

expected, the mechanisms which were dominant relative to probability of burst are the mechanisms of most concern relative to leakage.

Treatments of leakage from circumferential degradation, with plug on detection and from axial degradation with a plug on sizing repair criterion included a probabilistic treatment of crack morphologies.

Apportioning of circumferential degraded area to leakage paths was described in Section 2.2.

Two elements of conservatism are the absence of ligament effects as cracks penetrate the wall and a scheme to maximize the leak rate for a given array of cracks by devoting all of the degraded area to drive the largest leaking cracks through wall.

Variations of crack morphology for axial degradation were obtained by sampling of the ratios of maximum crack depth to structurally significant crack depth.

Actual data was obtained from pulled tubes from Plant A and applied to St. Lucie Unit 1.

For a given structurally significant depth, there exists a range of possible crack shapes.

Self similar propagation of these sampled shapes was used to define the extent of through wall penetration needed for leak rate calculations.

The much fewer instances of freespan and drilled tube support axial degradation were modelled using only a semi-elliptical physical crack shape.

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6.1 PROJECTED LEAK RATES FOR AXIALDEGRADATION IN THE SLUDGE PILE AND AT LATTICETYPE SUPPORTS The plug on sizing structural integrity simulation provides an output file, containing information describing every through wall crack encountered in the simulation process ln addition, a similar description is provided for each defect which can pop-through under MSLB'loading. The information for each defect includes:

~

Structural average depth

~

Maximum depth

~

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~

Flow stress The frequency and character of the defects determine the probability of various levels of leakage under postulated MSLB conditions at end of cycle.

The basic frequency of leakage was computed for the "average" support for operating periods of 13 months, 14 months and 15 months.

These results are shown in Table 6.1 together with estimates of the probability of leakage for steam generator A.

The probabilities associated with various amounts of leakage were computed using the LEAKMC algorithm described in Figure 6.1.

The LEAKMC algorithm is a straightforward Monte Carlo simulation which computes the number and magnitude of leaks in a complete steam generator.

The number of simulated leaking defects in the entire steam generator is obtained by first sampling from a binominal distribution using the average level frequency of leak computations and the number of equivalent levels in the steam generator.

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For each leaking defect obtained in the above process, a leak rate is sampled from the ROS (burstj model output file. All leakage for a given Monte Carlo trial is obtained by summing the individual leak rates.

The distributional output is shown in Figure 6.2 for 5,000 simulations.

The upper 95/95 projected leak rate for a 15 month run time is 2.94 gpm.

6.2 PROJECTED LEAK RATES FOR CIRCUMFERENTIALDEGRADATION Leak rates for circumferential degradation were determined using the CIRC95 program developed on the industry-wide EPRI circumferential cracking program.

The principal authors of this program are APTECH and Westinghouse.

A distribution of EOC leak rates at postulated accident conditions was constructed for various run times.

There was no large variation in the 95% upper bound leak rates for run time from 12 to 15 months.

The 95% upper bound leak rate from 10,000 simulations after a 15 month run time is 0.85 gpm.

This leak rate can be converted to a mass flow rate using the density of water at room temperature.

6.3 PROJECTED LEAK RATES FROM DEGRADATIONAT DRILLED SUPPORT AND FREESPAN LOCATIONS The issue of leakage from freespan indications can be settled quickly.

No through wall leaking freespan cracks are expected.

In contrast, leakage at postulated accident conditions is expected from axial degradation at drilled tube support locations, albeit at low levels of probability.

For this degradation mode, after 15 months of operation the estimated probability of leakage is less than 2%.

Given that any leakage occurs, the 95% upper bound leak rate is about 1

gpm.

Since 98% of the time no leakage is

expected, the contribution to the 95% bound leak rate is zero.
Hence, Aptech Engineering Services, Inc.

AES96052749-1-1

leakage from axial degradation at either freespan or drilled tube support plates is expected to be inconsequential

~

6.4 TOTAL PROJECTED LEAK RATE The main contributors to projected end of cycle leakage at postulated accident conditions are axial degradation in the sludge pile and at lattice type supports and expansion zone circumferential degradation.

The sum of the 95% upper bound leak rates is less than 4 gpm for 15 months of operation.

The risk of very large leak rates is roughly comparable to the risk of tube burst.

The projected 95% upper bound total leakage is far removed from allowable leak rates from a site specific radiological dose consequence St.

Lucie Unit 1

analysis.

This analysis indicated an allowable leak 'rate substantially in excess of charging pump capacity.

Conditional probability of burst rather than projected leak rates is the limiting consideration at St. Lucie Unit 1.

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OCT. 15. 1996 2: 11PH HO. 863 P. 9 TABLE 6.1

SUMMARY

OF LEAKAGE PROBABILITIES

[SLUDGE PILE AND LATTICETYPE SUPPORTS]

RUN TIME (MONTHS)

NUMBER OF LEAKERS (20K SIIVIULATIONS) 1122 1843 3068 P (I EAK)

(AVERAGE SUPPORT 0.069 0.0966 0.164 P (LEAK)

SG-A 0.59 0.78 0.92 Aptech Engineering Services, Inc.

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AES96052749-1-1

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SECTION 7

SUMMARY

AND CONCLUSIONS The significance of corrosion degradation to the performance of steam generator tubing at St. Lucie Unit 1 was evaluated for the final cycle of operation of the unit.

Replacement of steam generators will begin in the fall of 1997.

Probabilistic methods were applied to make end of cycle projections of the structural and leakage integrity of steam generator tubing experiencing corrosion degradation.

Over the past 12 years of operation, steam generator tubing at St. Lucie Unit 1 has experienced substantial corrosion degradation.

Eddy current inspection data and pulled tube examinations show the degradation to be combinations of intergranular attack, IGA and stress corrosion cracking, SCC, on the outer diameter of the tubing.

The five types of locations where this degradation occurs and the modes of corrosion are:

~

circumferential degradation at explosive expansion transitions at the top of the tubesheet

~

axial degradation at the top of the tubesheet in the sludge pile

~

axial degradation at eggcrate and vertical strap tube support structures

~

axial degradation at drilled tube support structures

~

axial degradation at upper bundle freespan locations.

Several probabilistic run time models were employed.

Modeling included scenarios of both plug on detection and plug on sizing, depending on the mode and location of degradation.

Circumferential degradation at the top of the tubesheet, as well as axial degradation at freespan and drilled tube support locations, was modeled using a plug on detection scenario coupled Aptech Engineering Services, Inc.

66 AES96052749-1-1

with an RPC inspection scheme.

Modeling of axial degradation at other locations employed a bobbin probe inspection with a plug on sizing scenario.

Probabilistic computations of the conditional probability of burst and the magnitude of leakage under accident conditions were developed.

Calculational procedures were benchmarked by comparing predictions of the number and severity of eddy current indications with actual observations and by comparing predicted versus observed leakage during in situ testing.

The dominant contributor to the condition probability of burst is axial degradation in the sludge pile and at lattice type supports.

This is basically due to the number of indications involved.

Degradation growth rates are largely independent of location.

The projected end of cycle leak rates at postulated accident conditions were reasonably small and not markedly sensitive to run time.

After 15 months of operation the total projected 95% upper bound leak rate is less than 4 gpm.

Site specific analyses of dose rate consequences for various leak rates demonstrate a leakage limit far in excess of this projected value.

A leak rate in excess of the charging pump capacity will not exceed 10 CFR 100 and GDC 19 accident dose limits.

The conditional probability of burst under postulated accident conditions is the limiting concern.

When all corrosion mechanisms are considered, the projected end of cycle conditional probability of burst is 0.018 for a run time of 14 months.

An upsweep in the conditional probability of burst is noted for longer run times.

For a run time of 15 months, the calculated conditional probability of burst is 0,044.

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REFERENCES NRC Generic Letter 95-05, Voltage-Based Repair Criteria for Westinghouse Steam Generator Tubes Affected by Outside Diameter Stress Corrosion Cracking, United States Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation, August, 1995.

2. Status of PVNGS Steam Generator Activities, Arizona Public Service Co.

Report, August, 1994.

3.

Palo Verde Nuclear Generating Station Unit Two Steam Generator Tube Rupture Analysis Report, NRC submittal by Arizona Public Service Co.,

Docket No. STN 50-529, July, 1993.

4. Sweeney, K., "Palo Verde Nuclear Generating Station Unit 2 Steam Generator Evaluation", Arizona Public Service Co. Report, August, 1995.

5.

6.

Draft Regulatory Guide X.XX, Steam Generator Tube Integrity, 1996.

Cochet, B, "Assessment of the Integrity of Steam Generator Tubes-Burst Test Results

- Validation of Rupture Criteria (FRAMATOME DATA)", Palo Alto, CA,"Electric Power Research Institute, June,

1991, NP-6865-L, Vol. 1.
7. Hall, J.F.,

Fink, G.C., Magee, T.P., Molkenthin, J.P.,

and

House, P.E.,

"Palo Verde-2 Steam Generator Tube Bend Region Examination and Metallurgical Evaluation",

ABB Combustion Engineering Nuclear Operations, Report V-PENG-TR-005, January, 1995.

8. Sykes, L.P., Redmond, K.R. and Sherburne, P.A., "Examination of Steam Generator Tubes from Palo Verde Nuclear Generating Station", BWNT and Babcock 5 Wilcox Co., October, 1993.
9. Begley, J.A., "Burst Pressure of Tubes with Circumferential Cracks,"

APTECH Report to FPL, AES-C-2570-1, January, 19196.

10. Begley, J.A., Woodman, B.W., Brose, W.R.,

and

Brown, S.D.,

"An Analysis of ODSCC/IGA at Eggcrate Support Locations at Arkansas Nuclear One (ANO) Unit 1," APTECH Report to Entergy Operations, Inc.,

AES 95102556-1-1, Rev. 1, April, 1996.

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