ML13051A193

San Onofre, Unit 2, Enclosure 5, L5-04GA585, Rev. 2, Analytical Evaluations for Operational Assessment

ML13051A193
Person / Time
Site:	San Onofre
Issue date:	02/18/2013
From:	Mitsubishi Heavy Industries, Ltd
To:	Office of Nuclear Reactor Regulation
References
TAC ME9727 L5-04GA585, Rev 2, SO23-617-1-M1543, Rev 0
Download: ML13051A193 (86)

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ENCLOSURE 5MHI Non-Proprietary DocumentL5-04GA585, Analytical Evaluations for OperationalAssessment(Non-Proprietary)

Non-proprietaoVersio[) (1185)San Onofre Nuclear Generatin! Station, Unit 2 & 3REPLACEMENT STEAM GENERATORSAnalytical Evaluations for Operational AssessmentSupplier Status Stampp"' S023-617-1-M1543 IR, 0 fN/A0DESIGNDOCIYIENT ORDER NO. R10R7.4RRMREFERENCE DOCUMENT-INFORMATION ONLY EMRP IOM MANUALMFG MAY PROCEED: EDYES ONO IWASTATUS -A sMa is required fbr demn wd Is optional for refWeeedocumna. Drwanga e ramvwlmd ed appmved for wmngmnt and owaomanrm toqpdlu oty. ApprM do"ss not res subnfr trnm do ofS uebly of desi, rot.rIle, sndtw mefste.r-. APPROVEDAPPROVEDEXCEPT AS NOTED.- MekeheM "anwd resuwnt.NOT APPROV tED- Cmt and for meve. NQT for fld uWe.FLMOnw.KMCE DE(i23) 6 REV. 3 07/tIREFERENCE 80123-XXIV-37.8.26Purchabse Order No, 4500024051-1Specification No.S023-617-01R3CONTENT REMARKS ORDER No. DATE Nuclear Plant ComponentPURCHASER Designing Department[ PAUB ITEM No. REENCB Steam Generator Designing SectionME-dio 2591012 APPIIOVE BYCH1ECM D YIDTfAL 85 PAMI (MNES) 1lo0 DESIGNED BYZI77;~DRAWN BY[ ISSU DATEjTT T T~lF VFDWG. No. Rev .No.IIHHH~1~L5-04GA585211 ____2K1&( M ISDUURZI,, LTD.Page I of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio() (2/85)Revision HistoryDocument No.L5-04GA585NoRevision Date Approved Checked] Prepared0 Initial issue See cover sheet1 -Revised stability ratios andpinning forces due to thechange of stabilizer type.-Revised the results of fullbundle analyses due tochange the input values ofmanufacturing dispersion.2 -Revised in accordance withSCE comments ofRSG-SCE/MHI-12-5782.MITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 2 of 85 INon-proprietary VersionI) (3/85)Document No. L5-04GA585(2)Table of Contents1. Purpose ................................................................................................................. 42. Sum m ary .......................................................................................................................... 43. M ethodology of O perational Assessm ent ..................................................................... 54. M HI Scope of Supply for O perational Assessm ent .......................................................... 75. Definitions of 4 Categories and Selection of Representative Tube ............................... 85.1. Definitions of 4 Categories ........................................................................................ 85.2 Selection of representative tubes ............................................................................... 106. Force to Prevent In-Plane FEI ...................................................................................... 126.1. Purpose .......................................................................................................................... 126.2. Conclusion ..................................................................................................................... 126.3. Assum ption .................................................................................................................... 156.4. Acceptance criteria ................................................................................................... 166.5. Design inputs ................................................................................................................. 166.6. M ethodology ................................................................................................................... 226.7 Results ............................................................................................................................ 247. Stability Ratio Boundary M ap ...................................................................................... 327.1. M ethodology of Preparing Stability Ratio Boundary M ap ........................................ 327.2. AVB Support Conditions .......................................................................................... 367.3. Stability Ratio Boundary M ap ................................................................................... 428. Full Bundle Analyses ................................................................................................... 538.1. Purpose .......................................................................................................................... 538.2. Conclusions .................................................................................................................... 538.3. Acceptance Criteria .................................................................................................. 538.4. Assum ption .................................................................................................................... 538.5. M ethodology ................................................................................................................... 548.6. Design Inputs ................................................................................................................. 568.7. Analysis results ........................................................................................................ 609. Reference ........................................................................................................................ 64Attachment-1 Case study of Representative Tubes for Evaluation of Force to PreventIn-Plane FEI ............................................................................................... 65Attachment-2 Case study of Methodology to Calculate Force to Prevent In-Plane FEI ...... 69Attachment-3 Influence of a tube at Stay Rod address on Contact forces in the Full Bundle......................................................................................................................... 7 1Attachm ent-4 Verification of the Q uarter Full Bundle M odel ........................................... 80MITSUBISHI HEAVY INDUSTRIES, LTD.Page 3 of 85 S023-617-1-M1543, REV. 0 INon-proprietary Version) (4/85)Document No. L5-04GA585(2)A&1. PurposeThe purpose of this document is to provide the analytical data to be used for the operationalassessment of SONGS Unit-2 RSGs in order to return them to service. Unit-2 A-SG(2E089) isused for the analysis since it was the worst case of Unit RSGs (TTW) but that it will be applied to Athe operational assessment for all Unit 2 RSGs to return to service. The data are inputs for theprobability evaluation of in-plane fluid elastic instability (FEI) of the tubes in the next cycleperformed by AREVA (Reference 22).2. SummaryThe results of the activities performed by MHI are summarized as follows;(1) Definitions of 4 Categories and Selection of Representation TubeTubes which have AVB wear indications are categorized into 4 categories and a representativetube for each category is selected as described in Section 5.(2) Pinning force toPrevent In-Plane FEIThe contact force sufficient to activate the AVB support points for in-plane direction in order to Aprevent in-plane FEI are evaluated as described in Section 6.(3) Stability Ratio Boundary MapIn order to determine the supporting condition when in-plane FEI occur, the stability ratios (SR) ofall tubes at various supporting conditions are calculated and the boundary maps are prepared asdescribed in Section 7.(4) Full Bundle AnalysesThe contact forces at each AVB support point of all tubes are calculated by using a completeFEM model of the tube bundle to judge whether each AVB support is active or not as described inSection 8.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 4 of 85 S023-617-1-M1543, REV. 0 INon-proprietary Version)(5/85)Document No. L5-04GA585(2)A&3. Methodology of Operational AssessmentFig.3-1 shows the evaluation flow chart of operational assessment, which is developed byAREVA (Reference 22) through the discussion with MHI. In order to carry out the return to serviceof SONGS Unit-2, the probability of in-plane FEI shall be less than 5% in the next cycle. Theoperational power level and operating period of next cycle is determined based on the in-plane AFEI probability evaluation.The tubes which have wear indications are divided into separated categories and arepresentative tube of each category, which is the tube with the highest in-plane stability ratio inthe category, is conservatively selected to evaluate the pinning forces..For the representative tubes, the pinning forces ample to activate the AVB support points forin-plane direction in order to prevent in-plane FEI are evaluated to be used as criteria to judgewhether an AVB support point is active or inactive.By using a complete model of the tube bundle, the contact forces at tubes-to-AVBs contact pointsin all tubes are calculated. Based on the criteria of contact force of inactive supports, theprobabilities of inactive supports are estimated.The stability ratios (SR) of all tubes at various supporting conditions are calculated to prepare theboundary maps, which are used to determine the supporting conditions when in-plane FEI occur.Based on the probabilities of inactive supports and the stability ratio boundary maps, theprobability of in-plane FEI is obtained.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 5 of 85S023-617-1-M1543, REV. 0 (INon-proprietary Version) (6/85)Document No. L5-04GA585(2)A __-__ ýDetermination of Methodology and Scope ofActivitiesE Definition of Categories and Selection ofRepresentative Tubes (Refer to Section 4)4,MIH'sscope I{AR EVA'ssoeIProbability of contact force obtained by full bundleanalyses at various operating periods(Refer to Section 8)iiLEvaluation of the probability of the number ofconsecutive inactive AVB supportsForce to Prevent In-Plane FEI-at various power levels(Refer to Section 6)====!jr,Evaluation of the probability of in-plane FEIDetermination of Power Level and Operating PeriodStability Ratio Boundary Mapat various power levels(Refer to Section 7)UFig.3-1 Evaluation Flow Chart of Operational AssessmentIAMITSUBISHI HEAVY INDUSTRIES, LTD.Page 6 of 85S023-617-1-M1543, REV. 0 INon-proprietary Version) (7/85)Document No. L5-04GA585(2)iiAw4. MHI Scope of Supply for Operational AssessmentAs shown in Fig.3-1, MHI performed the following activities for the operational assessment asrequired by AREVA.Definitions of 4 Categories and Selection of Representation Tube See Section 5Force to Prevent In-Plane FEI See Section 6Stability Ratio Boundary Map See Section 7Full Bundle Analyses and Bench Marking Studies See Section 8These results are inputs for the probability evaluation of in-plane fluid elastic instability (FEI) ofthe tubes in the next cycle performed by AREVA.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 7 of 85S023-617-1-M1543, REV. 0 INon-proprieta Version) (8/85)Document No. L5-04GA585(2)Ak5. Definitions of 4 Categories and Selection of Representative Tube5.1. Definitions of 4 CategoriesThe tubes of Unit-2A (E089), which have tube-to-tube wear and AVB wear indications, arecategorized into 4 categories as follows. The addresses of the 4 categories are shown inFig.5.1-1.(1) Plugged tubes which have tube-to-tube wear (TTW) indications: 2 tubes(2) Plugged tubes which have AVB wear indications: 209 tubes(3) Unplugged tubes which have AVB wear indications in the center columns (Col.40-138): 554tubes(4) Unplugged tubes which have AVB wear indications in the peripheral columns (Col.1-39 and139-177): 39 tubesThe tubes adjacent to the retainer bars and tubes which have wear indications at only the tubesupport plate elevations are not taken into consideration.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 8 of 85S023-617-1-M1543, REV. 0 141136131126121116111106101979186m16661565146413631262116116QCstspry IiTTxcaemqr 2: Pkqmod00ateaorv 3: Wea (AVS or AVS-TSP) (CoLO4-138)00satgor 4: Wea (AVB or AVB÷TSP) (Co1,-39. I39-17)O~lwessn~twte tub*% for CAx~kkaed ORB)COL03CDHSCAc~000Ca5.aOFig.5.1-1 Definitions of CategoriesPage 9 of 85S023-617-1-M1543, REV. 0 INon-proprieta Version( )(10/85)Document No. L5-04GA585(2)A&5.2 Selection of representative tubesThe tubes listed in Table 5.2-1 are selected as representatives, which stability ratios of in-planeFEI with 12 consecutive inactive support points are the maximum in each of the four categorieswhen the thermal power is 70%. Fig.5.2-1 shows the stability ratio map with 12 consecutiveinactive support points when the thermal power is 70%. This map is prepared by calculating thestability ratios of 306 representative tubes and the stability ratios of the tubes which were notanalyzed were obtained by interpolation method (See Section 7 for detail). A tube map of the 306representative tubes is shown later as Figure 7.1-2.Table 5.2-1 Representative tubesRow Column Stability Ratio(1) Plugged tubes with TTW 113 81 F" "(2) Plugged tubes with AVB wear 97 89(3) Unplugged tubes with AVB wear 98* 90*in center columns(4) Unplugged tubes with AVB wear 70 164in peripheral columns I I "Note *)*The stability ratios of the tubes which are not analyzed are assumed by interpolation method.Therefore, there is a possibility that a tube with an interpolated stability ratio value in the criticalregion may have a higher stability ratio than the selected representative tube becauseinterpolated value always calculated lower than the analyzed value. In order to address this _Ainconsistency, a detailed analysis for each tube in the critical region is performed to find out thestability ratio of each tube. From the analysis result, we found out that the tube in Row 96 Column90 has a slightly (2.2%) higher stability ratio than the tube in Row 98 Column 90, which is the I-representative tube. However, the impact is very small since these 2 tubes are next to each otherand the flow condition is almost identical. Therefore, Row 98 Column 90 is evaluated as arepresentative. As for other representative tubes, the selected tubes for each category havehigher stability ratios than the rest of the tubes in the same category.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 10 of 85S023-617-1-M1543, REV. 0 (nCWC(1)-IMSn00CD0ý000Z00CD0)MDFig.5.2-1 In-plane SR mapping with 12 consecutive inactive support points when the thermal power is 70%Page 11 of 85S023-617-1-M1543, REV. 0 (INon-proprietary Version] (12/85)Document No. L5-04GA585(2)6. Force to Prevent In-plane motion6.1. PurposeThe purpose of this evaluation is to obtain the contact force ample to activate the AVB support pointsfor in-plane direction in order to prevent in-plane FEI.Ri 9 CnnrnhIminn1AThe criteria of the force to prevent the in-plane motion of representative tubes are evaluated as Ashown in Table 6.2-1 to 6.2.4.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 12 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio( ])(13/85)Document No. L5-04GA585(2)JAWTable 6.2-1 Summary of Required Contact Forces for 60% Thermal Power I&Unit: NCategory Representative 801 B02 B03 B04 B05 B06 B07 B08 B09 B10 Bl B12tubes1 R113 C81" __2 R97 C89*3 R98 C90 __4 R70 C164 Evaluation is not needed since the stability ratio is less than 1.0 even if all AVBsupport points are inactive. (See Section 7 for detail)Note)*: Plugged with Type J stabilizer (split stabilizer)Table 6.2-2 Summary of Required Contact Forces for 70% Thermal PowerUnit: NCategory Representative B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 B1l B12tubesI R113 C81"2 R97 C89"3 R98 C90 _ -_4 R70 C164 Evaluation is not needed since the stability ratio is less than 1.0 even if all AVBsupport points are inactive. (See Section 7 for detail)Note)*: Plugged with Type J stabilizer (split stabilizer)Table 6.2-3 Summary of Required Contact Forces for 80% Thermal PowerUnit: NCategory Representative B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 B11 B12tubes1 R113 C81* r2 R97 C89-3 R98 C90 _. _4 R70 C164 Evaluation is not needed since the stability ratio is less than 1.0 even if all AVBI support points are inactive.(See Section 7 for detail)Note)*: Plugged with Type J stabilizer (split stabilizer)MITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 13 of 85 INon-proprietary Version[() (14/85)Document No. L5-04GA585(2)A&Table 6.2-4 Summary of Required Contact Forces for 100% Thermal Power/Unit: NCategory Representative B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 B11 B12tubes1 R113 C812 R97 C893 R98 C90 _4 R70 C164 Evaluation is not needed since the stability ratio is less than 1.0 even if all AVB supportpoints are inactive.(See Section 7 for detail)MITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 14 of 85

]Non-proprieta Versio( })(15/85)Document No. L5-04GA585(2)Ak6.3. Assumption(1) Fluid forceThe turbulent excitation force is evaluated and fluid force caused by FEI is not taken into accountdue to the following reason.The purpose of this evaluation is to obtain the contact force ample to activate the AVB support points JAfor in-plane direction in order to prevent in-plane motion.When the friction force due to contact force is smaller than the turbulent excitation force at an AVBsupport point, a tube can slide in the in-plane direction. In-plane motion could occur when the tube JAslides at some AVB support points.However, if the stability ratio (SR), which is calculated by assuming AVB support points where thetube slides are inactive, is less than 1.0, in-plane FEI will not occur. 2AFor example, SR of a tube is smaller than 1.0 when only 2 support points (B111 and B12) are activewhile the remaining 10 support points (801 to B10) are inactive.In this case, if the contact forces atBll and B12 are the same or greater than the force ample to resist against the turbulent force,in-plane FEI will not occur. A(2) Number of inactive support pointsThe calculation is performed by assuming that one AVB support point is pinned (with spring element)and other AVB support points are free (with gap in the out-of-plane direction) in order;(i) To obtain a force ample to resist against the turbulent excitation force with a higher valuethan the actual condition with more than 1 active support point and, A(ii) To simplify the evaluation of the force since there are too many possible combinations ofinactive support points for the evaluation that can be taken into account.(3) Representative tubesThe representative tubes for Category 1 to 3 (R1 13 C81 for Category 1, R97 C89 for Category 2 andR98 C90 for Category 3) are evaluated.The stability ratio of R70 C164 (representative of Category 4) is less than 1.0 even if all AVB supportpoints are inactive. Consequently, there is no probability of in-plane motion in Category 4 and no --need to evaluate the pinning force for Category 4.In order to evaluate the sensitivity of the tube location, additional 2 tubes (Row 131 Column 89 andRow 81 Column 89, which are selected by AREVA) are evaluated as shown in Attachement-1.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 15 of 85S023-617-1-M1543, REV. 0 INon-proprietary Version( })(16/85)Document No. L5-04GA585(2)6.4. Acceptance criteriaThere is no acceptance criterion because the purpose of this evaluation is to determine the contact JAforce ample to prevent in-plane motion.6.5. Design inputs6.5.1 GeometryThe tube bundle consists of %-inch diameter, thermally treated Alloy 690 U-tubes that are arrangedin a 1.0-inch equilateral triangular pitch and are supported by the tubesheet, seven tube supportplates, and six sets of anti-vibration bars (AVBs). Tube support plates (TSPs) have broached trifoiltube holes. All the contacting support structures above the tubesheet are made of 405 stainless steel.The nominal dimension of tube, TSPs and AVBs are listed in Table 6.5-1.6.5.2 Thermal and Hydraulic flow of steam generator secondary sideThe ATHOS thermal hydraulic analysis program was used to determine the distributions of fluid gapvelocity in the normal direction to tube in-plane and fluid density as the inputs for vibration analysis(See Reference 1 for detail). Fig 6.5-1, Fig.6.5-2, Fig.6.5-3 and Fig.6.5-4 show the flowcharacteristics at 60%, 70%, 80% and 100% thermal power those are applied to the tubes for the IJAevaluation.6.5.3 Damping ratioThe damping ratio used for this evaluation is obtained by the same calculation as specified in IAReference 1.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 16 of 85S023-617-1-M1543, REV. 0 INon-proprietary Version( )(17/85)Document No. L5-04GA585(2)Table 6.5-1 Nominal dimensions of tubes, TSPs, and AVBsPart Item ValueMaterial Thermally treated SB-1 63 UNS N06690Outside diameter 0.75 inThickness 0.043 inTubesNumber of tubes 9727Tube pitch 1.0 inTube arrangement TriangularMaterialThicknessTSPs Number of TSPsTube support span(between TSP centers)Tube support span(from tubesheet to TSP-1)MaterialTypeAVBsThicknessWidthMITSUBISHI HEAVY INDUSTRIES, LTD.Page 17 of 85S023-617-1-M1543, REV. 0 (jNon-proprieta Version) (18/85)Document No. L5-04GA585(2)AIIW/0ýJ(a) Flow Velocity(b) Flow densityRowl13 Col8l(a) Flow Velocity(b) Flow densityRow97 Col89-1(a) Flow Velocity(b) Flow densityRow98 Col90Fig. 6.5-1 Flow Characteristics at 60% Thermal PowerMITSUBISHI HEAVY INDUSTRIES, LTD.Page 18 of 85S023-617-1-M1543, REV. 0 jNon-proprieta Version() (19/85)Document No. L5-04GA585(2)(a) Flow Velocity(b) Flow densityRowl13 Col8l(a) Flow Velocity(b) Flow densityRow97 Col89(a) Flow Velocity(b) Flow densityRow98 Col90Fig. 6.5-2 Flow Characteristics at 70% Thermal PowerMITSUBISHI HEAVY INDUSTRIES, LTD.Page 19 of 85S023-617-1-M1543, REV. 0 (INon-proprietary Versio) (20/85)Document No. L5-04GA585(2)JAWKJ\I(a) Flow Velocity(b) Flow densityRowi 13 Col8lr(a) Flow Velocity(b) Flow densityRow97 Col89(a) Flow Velocity(b) Flow densityRow98 Col90Fig. 6.5-3 Flow Characteristics at 80% Thermal PowerMITSUBISHI HEAVY INDUSTRIES, LTD.Page 20 of 85S023-617-1-M1543, REV. 0 INon-proprietary Version( })(21/85)Document No. L5-04GA585(2)\I-(a) Flow Velocity(b) Flow densityRowl13 Col8l-I(a) Flow Velocity(b) Flow densityRow97 Col89K(a) Flow Velocity (b) Flow densityRow98 Col90Fig. 6.5-4 Flow Characteristics at 100% Thermal PowerMITSUBISHI HEAVY INDUSTRIES, LTD.Page 21 of 85 S023--617-1-M1543, REV. 0 INon-proprieta Versio( )(22/85)Document No. L5-04GA585(2)6.6. MethodologyAll TSP points are modeled to be pinned and the selected AVB support is modeled as the springelement to obtain the reaction force at the selected AVB support. As shown in Table 6-1, 12 cases of11 inactive support points are evaluated for each representative tube. The analysis model when B07is active is shown in Fig.6.6-1.The contact force needed to activate the AVB support function in-plane is calculated as follows.(1) The reaction forces of tube subjected to random excitation (Reaction force of in-plane Fi andout-of-plane F,) are calculatedF,= max{F.CT)+ F7(y)2}Fo= max{Fj(t)}(2)The contact force F,, which is sufficient to prevent slip motion by friction force is calculated asfollows.FC=F,/MUWhere,pu: Friction coefficient(3)By taking into account of contact force reduced by the reaction force F, in the out-of-planedirection, the required contact force, Freq, is derived by the equation below.Freq= F,+F0FThis methodology is considered to be conservative since the maximum values both of in-plane andout-of-plane are summed. In order to evaluate the sensitivity of changing the evaluation method tocalculate the double of standard deviation, the case study is performed as described in Attachment-2.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 22 of 85S023-617-1-M1543, REV. 0 INon-proprieta Version() (23/85)Document No. L5-04GA585(2)Table 6.6-1 Active/Inactive Support PointsEvaluated point B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 B11 B12B01 A I I I I I I I I I I IB02 I A I I I I I I I I I IB03 I I A I I I I I I I I IB04 I I I A I I I I I I I IB05 I I I I A I I I I I I IB06 I I I I I A I I I I I IB07 I I I I I I A I I I I IB08 I I I I I I I A I I I IB09 I I I I I I I I A I I I810 I I I I I I I I I A I IB11 I I I I A IB12 I I I I I I I I I I I AA: Active support pointI: Inactive support pointFig 6.6.1 Analysis model when B07 is activeMITSUBISHI HEAVY INDUSTRIES, LTD.Page 23 of 85S023-617-1-M1543, REV. 0 INon-proprietary Version( )(24/85)Document No. L5-04GA585(2)6.7 ResultsThe calculated contact forces are rounded up to be integral numbers as shown below.6.7.1 60% Thermal PowerThe analysis results at 60% thermal power are shown in Table 6.7.1-1 to 6.7.1-3.Table 6.7.1-1 Required contact force of R113 C81 (with Type J stabilizer)Unit:NEvaluated point B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 311 B121301 __B02B03B04B05B06B07B08B09B10811 _ _ _ _ _ _ _ _ _ _B12 " ._1: Inactive support pointMITSUBISHI HEAVY INDUSTRIES, LTD.Page 24 of 85S023-617-1-M1543, REV. 0 (INon-proprieta Version) (25/85)Document No. L5-04GA585(2)AkTable 6.7.1-2 Required contact force of R97 C89 (with Type J stabilizer)Unit:NEvaluated point BO1 B02 B03 B04 B05 B06 B07 B08 B09 B10 B11 B121301 S""B02B03B04B05B06B07B08B09B10B11B12 -_I: Inactive support pointTable 6.7.1-3 Required contact force of R98 C90Unit:NEvaluated point B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 311 B12B01 /00-B02B03B04B05B06B07B08B09B10811 _ _ _ _ _ _ _ _ _ _B12 _ -I: Inactive support pointMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 25 of 85

[Non-proprieta Version( ](26/85)Document No. L5-04GA585(2)6.7.2 70% Thermal PowerThe analysis results at 70% thermal power are shown in Table 6.7.2-1 to 6.7.2-3.Table 6.7.2-1 Required contact force of R1 13 C81 (with Type J stabilizer)Unit:NEvaluated point B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 B11 B121301B02B03B04B05B06B07B08B09B10B11 ___ __ __B12 _"I: Inactive support pointTable 6.7.2-2 Required contact force of R97 C89 (with Type J stabilizer)Unit:NEvaluated point B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 B11 B12801 /01- __ __B02B03B04B05B06B07B08B09B10811 __B121: Inactive support pointMITSUBISHI HEAVY INDUSTRIES, LTD.Page 26 of 85S023-617-1-M1543, REV. 0 (jNon-propretay Versio) (27/85)Document No. L5-04GA585(2)Ai iTable 6.7.2-3 Required contact force of R98 C90Unit:NEvaluated point B01 B02 B03 B04 B05 B06 B07 B08 B09 B1O B11 B12B02B03B04B05B06B07B08B09B10B11B12 _ _I: Inactive support pointMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 27 of 85 (lNon-proprietary Versionj) (28/85)Document No. L5-04GA585(2)Ak6.7.3 80% Thermal PowerThe analysis results at 80% thermal power are shown in Table 6.7.3-1 to 6.7.3-3.Table 6.7.3-1 Required contact force of R1 13 C81 (with Type J stabilizer)Unit:NEvaluated point B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 Bll B12B01B02B03B04B05B06B07B08B09810B12 _ 'I: Inactive support pointTable 6.7.3-2 Required contact force of R97 C89 (with Type J stabilizer)Unit:NEvaluated point B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 B11 B12801B02803B04B05B06B07B08B09B10811_____B12I Inactive support pointMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 28 of 85 Nl~on-proprie~taVe~rsion( )(29/85)Document No. L5-04GA585(2)Table 6.7.3-3 Required contact force of R98 C90Unit:NEvaluated point 801 B02 B03 B04 B05 B06 B07 B08 B09 B10 B11 B121301B02B03B04B05B06B07B08B09810811 __B121: Inactive support pointMITSUBISHI HEAVY INDUSTRIES, LTD.Page 29 of 85S023-617-1-M1543, REV. 0 (INon-proprietary Versio) (30/85)Document No. L5-04GA585(2)Ak6.7.4 100% Thermal Power (with no plugging)The analysis results at 100% thermal power (with no plugging) are shown in Table 6.7.4-1 to 6.7.4-3.Table 6.7.4-1 Required contact force of R1 13 C81Unit:NEvaluated point 801 B02 B03 B04 B05 B06 B07 B08 B 09 B10 Bll B128101 / "B02B03B04B05B06B07B08B09B10B12I: Inactive support pointTable 6.7.4-2 Required contact force of R97 C89Unit:NEvaluated point 801 B02 B03 B04 B05 B06 B07 B08 B09 B10 811 B12B02B03B04B05B06B07B08B09B10811 _ _ _ _ _ _B12 -.__"I: Inactive support pointMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 30 of 85 (INon-proprietary Version) (31/85)Document No. L5-04GA585(2)AkTable 6.7.4-3 Required contact force of R98 C90Unit:NEvaluatedpoint B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 Bl B128301B02B03B04B05B06B07B08B09B10B11 \B12 I T -1: Inactive support pointMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 31 of 85 JNon-proprieta Versio() (32/85)Document No. L5-04GA585(2)-At7. Stability Ratio Boundary Map7.1. Methodology of Preparing Stability Ratio Boundary MapThe methodology of calculating the stability ratios against in-plane FEI is described in Reference 1.As shown in Fig.7.1-1, 9422 tubes are not to be plugged, 211 tubes are to be plugged with the type Jstabilizers (0.5" OD, split stabilizer), 15 tubes are to be plugged with the standard stabilizers and 79tubes are to be plugged without stabilizers for Cycle 17 operation of Unit-2A (E089) SG. Based onthe stability ratio calculation results of the representative tubes, the stability ratios of all tube areobtained by the interpolating method as follows.O:Tube Plugge With Typ J *:Tube plugged with stndarW outsbiferRow-t4l ----- _Row-13Row-31Row-120Row-121Row-Il1lRow-t 06Row-101Row-96Row-91Rw-8 IRow-76Row-71Row-"6Row-61Row-%6Row-5tRow-411ROw-41Row-36ROw-31R~w-21Row-6Raw-lXFig.7.1-1 Plugged TubesMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 32 of 85 (INon-proprietary Version) (33/85)Document No. L5-04GA585(2)(1) Unplugged tubesIn order to prepare the maps, the stability ratios are calculated for the representative ( )tubes asshown in Fig.7.1-2, which are selected for every 4 rows and 4 columns in the outer row region andfor every 8 rows and 8 columns in the remaining region. The stability ratios of tubes which are notanalyzed are assumed by interpolation method to obtain the stability ratios of all tubes (9727 tubes).For 100% thermal power condition, all tubes are assumed to be unplugged to simulate the stabilityratios in Cycle 16.-IFig.7.1-2 Representative 306 Tubes to obtain SRs of all tubesMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 33 of 85 (INon-proprietary Version) (34/85)Document No. L5-04GA585(2)At(2) Plugged tubesFor the cases of 60%, 70% and 80% thermal power conditions, the stability ratio of plugged tubesare obtained as follows.Plugged tubes with Type J stabilizers (split stabilizer)The stability ratios for 211 plugged tubes in Category-2 are also calculated by interpolating stabilityratios of representative tubes. As shown in Fig.7.1-3, the stability ratios of C )representative tubesare calculated by assuming all of these ( ) tubes are plugged to obtain the stability ratios of 211plugged tubes with Type J stabilizer (split stabilizer) by the interpolating method.IAJAKFig.7.1-3 Representative 155 Tubes to obtain SRs of plugged tubesMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 34 of 85 lNon-propriet eso( )(35/85)Document No. L5-04GA585(2)AtPlugged tubes with standard stabilizers and without stabilizersThe stability ratios of plugged tubes with standard stabilizers and plugged tubes without stabilizersare estimated based on the calculated stability ratios of unplugged tubes by taking into account ofthe effect of the additional mass of the stabilizer and the decrease of primary coolant mass on thenatural frequency and damping as shown in the following equations.mto'= m + ms + m/MO =m, + MP +m,Where,f Natural frequency of unplugged tubef Natural frequency of plugged tubem0 :Average mass per unit length of unplugged tubemo' :Average mass per unit length of plugged tubemy :Virtual added mass per unit lengthmt Mass of tube metal per unit lengthms :Mass of stabilizer per unit length*MP :Mass of primary coolant in tube per unit lengthNote *) for plugged tube without stabilizer, the additional mass of stabilizer is not taken into account.As described in Reference 1, the effect of void fraction on the squeeze film damping is not taken intoaccount since plugged tube has no heat transfer.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 35 of 85S023-617-1-M1543, REV. 0 JNon-proprieta Version( ] (36/85)Document No. L5-04GA585(2)7.2. AVB Support ConditionsThe stability ratios at various supporting conditions are calculated to find the limitation of the numberof inactive support points when the stability ratios exceed 1.0 for the evaluation of FEI probability.The inactive support points are assumed to be biased in hot side since the stability ratios are higherthan other conditions (e.g. symmetrical or concentrated in cold side).(1) 60% thermal power IAThe stability ratio boundary maps are not prepared since the stability ratios of all tubes are smallerthan 1.0 even if 12 support points are inactive as shown in Fig.7.2-1.However, the stability ratio data sets of all tubes for 10 to 12 consecutive inactive support conditionsare prepared just in case.(2) 70% thermal power JAThe stability ratio boundary maps for the following 2 cases are prepared since the stability ratios ofall tubes are smaller than 1.0 when 10 support points are inactive as shown in Fig.7.2-2. In addition,the stability ratio data sets of all tubes for 4 to 12 consecutive inactive support conditions areprepared in order to compare with the stability ratios at 100 % thermal conditions.-12 support points are inactive-11 support points are inactive (B12 is active)(3) 80% thermal power IJAThe stability ratio boundary maps for the following 4 cases are prepared since the stability ratios ofall tubes are smaller than 1.0 when 8 support points are inactive as shown in Fig.7.2-3.The stability ratio data sets of all tubes for 7 to 12 consecutive inactive support conditions areprepared just in case.-12 support points are inactive-11 support points are inactive (B12 is active)-10 support points are inactive (B131 and B12 are active)-9 support points are inactive (B10, B131 and B132 are active)MITSUBISHI HEAVY INDUSTRIES, LTD.Page 36 of 85S023-617-1-M1543, REV. 0 jNon-propretary Version(] (37/85)Document No. L5-04GA585(2)(4) 100% thermal power (without plugging)The stability ratio boundary maps for the following 8 cases are prepared since the stability ratios ofall tubes are smaller than 1.0 when 4 support points are inactive as shown in Fig.7.2-4.The stability ratio data sets of all tubes for 4 to 12 consecutive inactive support conditions are alsoprepared.-12 support points are inactive-11 support points are inactive (B12 is active)-10 support points are inactive (B131 and B12 are active)-9 support points are inactive (B10, B131 and B12 are active)-8 support points are inactive (B9, B10, B11 and B12 are active)-7 support points are inactive (B8, B9, B10, Bll and B12 are active)-6 support points are inactive (B7, B8, B9, B10, B131 and B12 are active)-5 support points are inactive (B6, B7, B8, B9, B10, Bll and B12 are active)-4 support points are inactive (B5, 86, B7, B8, B9, B10, 311 and B12 are active)MITSUBISHI HEAVY INDUSTRIES, LTD.Page 37 of 85S023-617-1-M1543, REV. 0 icCCCO)-IXcnz00,=tCD5.000C3CDz0Fig.7.2-1 Stability ratio distribution at 60% thermal power when all support points are inactive IACO01Page 38 of 85S023-617-1-M1543, REV. 0 CA030zz00> (0CI-00a3IA 01Fig.7.2-2 Stability ratio distribution at 70% thermal power when 10 support points are inactive V(B 11 and B 12 are active)OD (Page 39 of 85S023-617-1-M1543, REV. 0

-.IaCOU) z0m 0z00C~CDE33(/)mCdCDI-O--Fig.7.2-3 Stability ratio distribution at 80% thermal power when 8 support points are inactive CD(B9, BIO, B1l and B12 are active) G)CO o)Page 40 of 85S023-617-1-M1543, REV. 0 CAFA- z0zCA =C"--iM0003Fig.7.2-4 Stability ratio distribution at 100% thermal power when 4 support points are inactive z 0CO(B5, B6, B7, B8, B9, BIO, Bll. and B12 are active)0:0Page 41 of 85S023-617-1-M1543, REV. 0 jNon-proprietay Version( ) (42/85)Document No. L5-04GA585(2)Ak7.3. Stability Ratio Boundary MapAs mentioned in Section 7.2, the stability ratio data set of all tubes in each condition is preparedas shown in Table 7.3-1, which are attached with this report.Based on the stability ratio data, the stability ratio boundary maps are prepared as shown inFig.7.3-1,7.3-2 for 70 % thermal power, Fig.7.3-3,7.3-4 for 80% thermal power and IAFig.7.3-5,7.3-6 for 100% thermal power. The stability ratio boundary map for 60% thermal powercondition is not prepared because all stability ratios at 60% thermal power condition are smallerthan 1.0 even if all AVB support points are inactive as described in Section 7.2. Fig.7.3-2, 7.3-4and 7.3-6 show the tubes of each category in addition to the SR boundaries. The color of eachplot indicates the minimum number of inactive AVB support points, when the stability ratio isgreater than 1.0. The distribution of color plots is not symmetrical because the stability ratios ofthe plugged tubes, which are distributed asymmetrically, are estimated as mentioned in Sec.7.1.By using the boundary map of the minimum number of inactive support points when the stabilityratio is greater than 1.0, the tubes of each category are categorized by multiple groups as shownin Table.7.3-2 for 60 % thermal power, Table.7.3-3 for 70% thermal power, Table 7.3-4 for 80% JAthermal power and Table 7.3-5 for 100% thermal power.Table 7.3-1 Stability Ratio Data Set of All TubesNumber of inactiveThermal power File name60%_ 10 o2SQ011support points60% 10 to 12 SR Q60 12-10 inactive supports 20120905.xls70 % 4 to 12 SRQ70_12-4_inactive supports_20120913.xls80% 7 to 12 SR Q80 12-7 inactive supports 20120905.xlsSR_Q100_with no plugging_12-4inactive100s% 4 to 12supports_20120710.xlsMITSUBISHI HEAVY INDUSTRIES, LTD.Page 42 of 85S023-617-1-M1543, REV. 0

-ICwca= z0m> 0zCACo-I DCD-mCoI-P000CDFig.7.3-1 Stability ratio boundary map at 70% thermal power0G)oPage 43 of 85S023-617-1-M1543, REV. 0 (n)= z0zm0r-DC0-- -0CAm3zFig.7.3-2 Stability ratio boundary map at 70% thermal power and tubes of each category000Page 44 of 85S023-617-1-M1543, REV. 0 cocaM--IMi(0z00CD0,000CDMOD- UFig.7.3-3 Stability ratio boundary map at 80% thermal powerPage 45 of 85S023-617-1-M1543, REV. 0 CCIz00CDM.Fig.7.3-4 Stability ratio boundary map at 80% thermal power and tubes of each categoryh. CD:3I-C:'COiO00)0'Page 46 of 85S023-617-1-M1543, REV. 0 CIM,z0COa,z01000CD3C)I-DG)0n 3:OD 14.Fig.7.3-5 Stability ratio boundary map at 100% thermal powerPage 47 of 85S023-617-1-M1543, REV. 0 CO)COMCCA-1MCAz00CDOD0Fig.7.3-6 Stability ratio boundary map at 100% thermal power and tubes of each categoryPage 48 of 85S023-617-1-M1543, REV. 0 Table 7.3-2 Number of tubes in each group categorized by SR Boundary Map at 60% thermal powerCategory 1 Category 2 Category 3 Category 4Group Number of Inactive support points Rat13ory1 R97egor R 090 R 0164 Probability of in-plane FEIR1 13 C81 R97 C89 R98 C90 R70 C1641 SR<1 when 12 AVB support points are inactive r"_"_2 SR>1 when 12 support points are inactiveTotal(SR<1 when 10 AVB support points are inactive) ___CDMZCO)rnz00CD(DCD0,0G)00 COS023-617-1-M1543, REV. 0Page 49 of 85 Table 7.3-3 Number of tubes in each group categorized by SR Boundary Map at 70% thermal power I&Category 1 Category 2 Category 3 Category 4Group Number of Inactive support points Rit13ory1 R97ego9y R9 Cag R 0164 Probability of in-plane FEIR1 13 C81 R97 C89 R98 C90 R70 C1641 SR1 when 12 support points are inactive2SR<1 when 11 consecutive support points are inactiveSR>1 when 11 consecutive support points are inactive3 SR<I when 10 consecutive support points are inactive4 SRI when 10 consecutive support points are inactiveTotal(SR<I when 9 AVB support points are inactive) -_CACO(nz00(D01013G)00C100CAPage 50 of 85S023-617-1-M1543, REV. 0 CACCACCO)-IXCOTable 7.3-4 Number of tubes in each group categorized by SR Boundary Map at 80% thermal powerCategory 1 Category 2 Category 3 Category 4 Probability of in-plane FEIGroup Number of Inactive support points Ril13 C81 R97 089 R98 C90 R70 C1 rbaiit6finpan4~1 SR<1 when 12 AVB support points are inactive RSR>1 when 12 support points are inactive2 SR<1 when 11 consecutive support points areinactiveSR>1 when 11 consecutive support points areinactive3 SR<1 when 10 consecutive support points areinactiveSR>1 when 10 consecutive support points areinactive4 SR1 when 9 consecutive support points areinactive5 SR1 when 8 consecutive support points are6 inactive TotalTotal(SR<I when_7_AVB support points are inactive) __________ __________ ____________z000D0)C1b. D00K') (.nPage 51 of 85S023-617-1-M1543, REV. 0 icMZXDMTable 7.3-5 Number of tubes in each group categorized by SR Boundary Map at 100% thermal powerGroup Number of Inactive support points Category 1 Category 2 Category 3 Category 4 PR1 13 C81 R97 C89 R98 C90 R70 C164 robability of in-plane EI1 SR<1 when 12 AVB support points are inactive _2 SR>1 when 12 support points are inactive2___SR<1 when 11 consecutive support points are inactive3 SR>1 when 11 consecutive support points are inactive3__ISR<1 when 10 consecutive support points are inactive4 SR>1 when 10 consecutive support points are inactiveSR<1 when 9 consecutive support points are inactive5 ISR>1 when 9 consecutive support points are inactiveI SR<1 when 8 consecutive support points are inactive6 ISR>1 when 8 consecutive support points are inactive6 SR<1 when 7 consecutive support points are inactive7 ISR>1 when 7 consecutive support points are inactive, SR<1 when 6 consecutive support points are inactive8 ISR>1 when 6 consecutive support points are inactive8 SR<1 when 5 consecutive support points are inactive _9 ISR>1 when 5 consecutive support points are inactive, SR<1 when 4 consecutive support points are inactive10 SR>1 when 4 consecutive support points are inactiveTotal(SR<1 when 4 AVB support points are inactive)z000ID0G)U'00C'tK)O10Page 52 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio( )(53/85)Document No. L5-04GA585(2),A8. Full Bundle Analyses8.1. PurposeThe purpose of this section is to provide the full bundle analyses results in the following cases forthe operational assessment of Unit-2 at Cycle 17 and benchmarking studies of Unit-2 and Unit-31_at Cycle 16.8.2. ConclusionsThe analyses for Unit-2 after additional 6 months are completed for calculation of in-plane FEIoccurrence probability, and the analyses for both of Unit-2 and Unit-3 at BOL and cycle 17 arecompleted for benchmarking.8.3. Acceptance CriteriaThere is no criterion for this calculation.8.4. Assumption(1) The manufacturing dispersion of Unit-2 A-SG (E089) represents Unit-2, and Unit-3A-SG(E089) represents Unit-3.(2) The dimensional manufacturing tolerances are based on the actual measurement results.The dimensions, which were not measured but checked by the go/no-go, are assumedbased on the drawing tolerances and the AVB pressing test results for the calculatedcontact forces to be consistent with the ECT ding signals (See Appendix-9 of Reference 2 fordetails).(3) Hydrodynamic pressure is neglected in this calculation because friction forces due tomanufacturing tolerances are much higher than contact forces caused by hydraulic pressure.Therefore, hydraulic pressure hardly displaces the tubes.(4) Wear rates have no correlation with thermal power levels in this calculation because AVBwear is caused by random vibration and random vibration is supposed to be independent ofthermal power level. Consequently, the wear rates at 17 cycle are assumed to be kept to theadditional periods operation. And the contact forces are independent of thermal power levelin this calculation.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 53 of 85 S023-617-1-M1543, REV. 0 jNon-proprieta Versio( )(54185)Document No. L5-04GA585(2)Ak8.5. Methodology8.5.1 Analysis modelAll parts of the U-bend assembly above the #6 TSP (Tubes, AVBs, Retaining bars, Retainer barsand Bridges) are modeled as beam elements(See Appendix-9 of Reference 2 for details).Figure 8.5.1-1 shows overview of the analysis model. The analysis model used is a symmetricalquarter model (The validity of quarter model is shown in Attachment-4). The contact pointsbetween tube to AVB, and tube to TSP are modeled as gap elements, which show springproperty in compression. Stayrod is modeled as tube since the effect of this modeling is negligiblysmall as shown in Attachment-3.L.Bird's-eye View of the ModelFront View of the ModelFig.8.5.1-1 Analysis modelM[TrSUBISHI EAV LTD.Page 54 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio( )(55/85)Document No. L5-04GA585(2)Ak8.5.2 Analysis casesThe analysis cases shown in Tab.8.5.2-1 are performed for the operational assessment of Unit-2and benchmarking studies for Unit-2 and Unit-3.Table 8.5.2-1 Analysis casesCycle 16 17Purpose Bench marking studies OperationalAssessmentOperation Beginning 3 months 12 months End 6 months 12 monthsperiodCondition Cold Hot Hot Hot Hot Hot HotUnit-2 5-9-259 5-9-261 -5-9-265 5-9-269 5-9-273 5-9-297E089 5-9-262 5-9-266 5-9-270 5-9-274 5-9-2985-9-263 5-9-267 5-9-271 5-9-275 5-9-2995-9-264 5-9-268 5-9-272 5-9-276 5-9-300Unit-3 5-9-306 5-9-309 5-9-307 -5-9-308 --E089 5-9-311 5-9-312 5-9-3135-9-314 5-9-315 5-9-3161 1 5-9-317 5-9-318 1 5-9-319AMITSUBISHI HEAVY INDUSTRIES, LTD.Page 55 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio() (56/85)Document No. L5-04GA585(2)Ak8.6. Design Inputs8.6.1 Geometry and manufacturing dispersionThe nominal tube and tube support dimensions are obtained from the design drawings(Reference 3 to 20). The manufacturing dimensional tolerance dispersions of Tube G value, tubepitch, tube flatness, AVB thickness deviation, AVB twist, and AVB flatness are considered in theanalysis model. The deviation is generated according to random number and inputted to the gapelements in the analysis model. The random number dispersion follows normal distribution.Table 8.6.1-1 shows input of manufacturing dispersion to the analysis model.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 56 of 85 S023-617-1-M1543, REV. 0 INon-proprietary Versio{ )(57/85)Document No.L5-04GA585 (2)AkTable 8.6.1-1 Measurement results of the dimensions/11ý-I\',MITSUBISHI HEAVY INDUSTRIES, LTD.Page 57 of 85S023-617-1-M1543, REV. 0 INon-proprieta Versio( ) (58/85)Document No. L5-04GA585(2)8.6.2 Gap distribution and wear depth(1) Tube wearThe following formula gives the relation between tube wear volume and wear depth at AVB contactpoint. The relation curve is described in Fig.8.6.2-1.V =IR 2(0 -sin 0) -L2= cos' 1- hx2 hV: Wear volumeR: Tube radiush: Wear depthL: Wear width0: Wear angleOn the other hands, the relation between tube wear volume and wear depth at TSP contact point isexpressed as below equation obtained by 3 dimensional model (See Appendix-10 of Reference 2 fordetail) and shown in Fig.8.6.2-2.Fig.8.6.2-1 Tube wear curve at AVB contact point Fig.8.6.2-2 Tube wear curve at TSP contact pointMITSUBISHI HEAVY INDUSTRIES, LTD.Page 58 of 85S023-617-1-M1543, REV. 0 INon-proprietar Versio(~) (59/85)Document No. L5-04GA585(2)In this study, tube wear percentage after 22+6 months operation in Unit-2 is predicted according to thefollowing steps with above two curves.1) Wear percentage after 22 months operation (ECT result) is converted to wear volume.2) Wear rate is calculated by dividing wear volume by 22 months at each tube contact point.3) Wear volume after 22+6 months operation is predicted by multiplying wear rate by 22+6 months.4) Wear percentage after 22+6 months operation is converted from 3) wear volume by using abovetwo wear curves.The cumulative probabilities of wear percentages at each Category after 22+6 months operation aresummarized in Fig.8.6.2-3.(2) AVB wearAVB itself is being worn according to tube wear progress. In this study, the condition that AVB wearprogresses is taken into account conservatively, because more severe AVB wear makes larger gapbetween a tube and an AVB.The ratio of wear coefficient between AVB ( ) and tube (TT690) is estimated to be ( ) based onMHI test results (Reference 21). The test results showed the wear coefficient ratio between ( 3I ) is ( )to ( .)Consequently, the wear coefficient ratio ( 3is conservatively regarded as ( )for this study, which means that AVB wear volume is half of Tubewear volume. In this study, the relation of AVB wear depth with tube wear depth is calculated asfollows:1) To calculate a section of tube wear surface in each tube wear percentage2) To calculate AVB wear volume by using the ratio of wear coefficient from tube wear volume in eachtube wear percentage3) To calculate AVB wear depth by dividing 2) by 1) in each tube wear percentageThe result of above calculation is shown in Fig.8.6.2-4. Formula of the relation is approximatelyexpressed as ) .Therefore, AVB wear depth is regarded as ( ] of tube wear depth inthis study.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 59 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio( ])(60/85)Document No. L5-04GA585(2)TSP pointsAVB points-~11Categoryl: Plugged tubes which have tube-to-tube wear (TTW) indicationsAVB points TSP pointsACategory2: Plugged tubes which have AVB wear indications AAVB points TSP pointsCategory3: Unplugged tubes which have AVB wear indications in the center columns (Col.48-130)AVB points TSP pointsAkCategory4: Unplugged tubes which have AVB wear indications in the peripheral columns (Col.1-47 and 131-177)Fig.8.6.2-3 the cumulative probabilities of wear percentages after 22+6 months operation AMITSUBISHI HEAVY INDUSTRIES, LTD.Page 60 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio( }](61/85)Document No. L5-04GA585(2)Fig.8.6.2-4 the relation of wear depth between AVB and tubeMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 61 of 85 INon-proprietary VersioI) (62/85)Document No. L5-04GA585(2)8.7. Analysis resultsThe tube-to-AVB contact forces at all intersections between tubes and AVBs are obtained and theresults are included in the electronic files shown in Table 8.7-1, which are attached with this report.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 62 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio( ) (63/85)Document No. L5-04GA585(2)Table 8.7-1 Output Files of Analysis ResultsCase Output File Name5-9-259 OUTPUTSONGSQUARTERMODEL01_CASE5-9-259_RANDGAPSTATIC01.dat.csv5-9-261 OUTPUT SONGS QUARTER MODEL01 CASE5-9-261 RAND GAP STATIC01.dat.csv5-9-262 OUTPUT SONGS QUARTER MODEL01 CASE5-9-262 RAND GAP STATICOl .dat.csv5-9-263 OUTPUTSONGS_QUARTERMODEL01_CASE5-9-263_RANDGAPSTATIC01.dat.csv5-9-264 OUTPUT SONGS QUARTER MODEL01 CASE5-9-264 RAND GAP STATICO0.dat.csv5-9-265 OUTPUT SONGS QUARTER MODEL01 CASE5-9-265 RAND GAP STATIC01 .dat.csv5-9-266 OUTPUT SONGS QUARTER MODEL01 CASE5-9-266 RAND GAP STATICOl .dat.csv5-9-267 OUTPUTSONGSQUARTERMODEL01_CASE5-9-267_RANDGAPSTATIC01.dat.csv5-9-268 OUTPUT SONGS QUARTER MODEL01 CASE5-9-268 RAND GAP STATICOl .dat.csv5-9-269 OUTPUT SONGS QUARTER MODEL01 CASE5-9-269 RAND GAP STATIC01 .dat.csv5-9-270 OUTPUTSONGSQUARTERMODEL01_CASE5-9-270_RANDGAPSTATICO1.dat.csv5-9-271 OUTPUT SONGS QUARTER MODEL01 CASE5-9-271 RAND GAP STATICOl .dat.csv5-9-272 OUTPUTSONGSQUARTERMODEL01_CASE5-9-272_RAND_GAPSTATICOl .dat.csv5-9-273 OUTPUTSONGSQUARTERMODEL01_CASE5-9-273_RANDGAPSTATICOl .dat.csv5-9-274 OUTPUTSONGS_QUARTERMODEL01_CASE5-9-274_RAND_GAPSTATIC01 .dat.csv5-9-275 OUTPUT SONGS QUARTER MODEL01 CASE5-9-275 RAND GAP STATICOl .dat.csv5-9-276 OUTPUT SONGS QUARTER MODEL01 CASE5-9-276 RAND GAP STATICOl .dat.csv5-9-297 OUTPUT SONGS QUARTER MODEL01 CASE5-9-297 RAND GAP STATICOl .dat.csv5-9-298 OUTPUT SONGS QUARTER MODEL01 CASE5-9-298 RAND GAP STATICO0 .dat.csv5-9-299 OUTPUT SONGS QUARTER MODEL01 CASE5-9-299 RANDGAP STATICO1.dat.csv5-9-300 OUTPUT SONGS QUARTER MODEL01 CASE5-9-300 RAND GAP STATIC01 .dat.csv5-9-306 OUTPUT SONGS QUARTER MODEL01 CASE5-9-306 RAND GAP STATIC01.dat.csv5-9-307 OUTPUTSONGSQUARTERMODEL01_CASE5-9-307_RANDGAP STATIC01.dat.csv5-9-308 OUTPUTSONGS_QUARTERMODEL01_CASE5-9-308 RANDGAPSTATICO1.dat.csv5-9-309 OUTPUT SONGS QUARTER MODEL01 CASE5-9-309 RAND GAP STATICOl .dat.csv5-9-311 OUTPUT SONGS QUARTER MODEL01 CASE5-9-311 RAND GAP STATICO1.dat.csv5-9-312 OUTPUT SONGS QUARTER MODEL01 CASE5-9-312 RAND GAP STATICO1.dat.csv5-9-313 OUTPUTSONGSQUARTERMODEL01_CASE5-9-313_RANDGAP STATICO1.dat.csv5-9-314 OUTPUT SONGS QUARTER MODEL01_CASE5-9-314_RANDGAPSTATICO1.dat.csv5-9-315 OUTPUT SONGS QUARTER MODEL01 CASE5-9-315 RAND GAP STATICO1.dat.csv5-9-316 OUTPUT SONGS QUARTER MODEL01 CASE5-9-316 RAND GAP STATIC01.dat.csv5-9-317 OUTPUT SONGS QUARTER MODEL01 CASE5-9-317 RAND GAP STATIC01.dat.csv5-9-318 OUTPUT SONGS QUARTER MODEL01 CASE5-9-318 RAND GAP STATICO1.dat.csv5-9-319 OUTPUT SONGS QUARTER MODEL01 CASE5-9-319 RAND GAP STATICO1.dat.csvMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 63 of 85 jNon-proprietar Versio( ] (64/85)Document No. L5-04GA585(2)9. Reference(1) L5-04GA567 the latest revision, Evaluation of Stability Ratio for Return to Service(2) L5-04GA564 the latest revision, Tube Wear of Unit-3 RSG -Technical Evaluation Report(3) L5-04FU001 the latest revision, Component and Outline Drawing 1/3(4) L5-04FU002 the latest revision, Component and Outline Drawing 2/3(5) L5-04FU003 the latest revision, Component and Outline Drawing 3/3(6) L5-04FU021 the latest revision, Tube Sheet and Extension Ring 1/3(7) L5-04FU022 the latest revision, Tube Sheet and Extension Ring 2/3(8) L5-04FU023 the latest revision, Tube Sheet and Extension Ring 3/3(9) L5-04FU051 the latest revision, Tube Bundle 1/3(10) L5-04FU052 the latest revision, Tube Bundle 2/3(11) L5-04FU053 the latest revision, Tube Bundle 3/3(12) L5-04FU1 lithe latest revision, AVB assembly 1/9(13) L5-04FU1 12 the latest revision, AVB assembly 2/9(14) L5-04FU1 13 the latest revision, AVB assembly 3/9(15) L5-04FU1 14 the latest revision, AVB assembly 4/9(16) L5-04FU1 15 the latest revision, AVB assembly 5/9(17) L5-04FU1 16 the latest revision, AVB assembly 6/9(18) L5-04FU 117 the latest revision, AVB assembly 7/9(19) L5-04FU1 18 the latest revision, AVB assembly 8/9(20) L5-04FU1 19 the latest revision, AVB assembly 9/9(21) WNSY1568 Test results of wear coefficient between TT690 and 405ss JA(22) SONGS document 1814-AU651-M0146 (AREVA doc 51-9187230),Operational Assessment,MITSUBISHI HEAVY INDUSTRIES, LTD.Page 64 of 85S023-617-1-M1543, REV. 0 INon-proprietar Versio( ])(65/85)Document No. L5-04GA585(2)Attachment-ICase study of Representative Tubes for Evaluation of Force to Prevent In-Plane FEI1. PurposeThe purpose of this attachment is to evaluate the sensitivity of the forces to prevent the in-plane FEI ofadditional tubes (R81 C89 and R1 31 C89) specified by AREVA.2. Thermal and Hydraulic flow of steam generator secondary sideThe ATHOS thermal hydraulic analysis program was used to determine the distributions of fluid gapvelocity in the normal direction to tube in-plane and fluid density. Fig A-1 and Fig.A-2 show the flowcharacteristics of R81 C89 and R131 C89 at 70% and 100% thermal power condition.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 65 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio( })(66/85)Document No. L5-04GA585(2)K2j(a) Flow Velocity(b) Flow densityRow81 Col89(a) Flow Velocity(b) Flow densityRow131 Col89Fig. A-1 Flow Characteristics of R81 C89 and R1 31 C89 at 70% Thermal PowerMITSUBISHI HEAVY INDUSTRIES, LTD.Page 66 of 85 S023-617-1-MD1543, REV. 0 jNon-proprieta Versio( ) (67/85)Document No. L5-04GA585(2)-I(a) Flow Velocity(b) Flow densityRow8l Col891f-1)(a) Flow Velocity(b) Flow densityRow131 Col89Fig. A-2 Flow Characteristics of R81 C89 and R131 C89 at 100% Thermal PowerMITSUBISHI HEAVY INDUSTRIES, LTD.Page 67 of 85 S023-617-1-MiJ1543, REV. 0 INon-proprietary Versio( 1)(68/85)Document No. L5-04GA585(2)3. ResultsThe difference of contact force between the representative tubes and additional tubes is not significantin both of 70% and 100% thermal power as shown in the following tables.Table A-1 Summary of Results for 70% Thermal PowerUnit: NCategory Representative B01 B02 B03 804 B05 B06 807 808 B09 B10 B1l B12tubes1 R113 C81 r "_2 R97 C893 R98 C90Additional R81 C89Additional R131 C89 _Table A-2 Summary of Results for 100% Thermal PowerUnit: NCategory Representative B01 B02 B03 B04 B05 B06 B07 B08 B09 B10 311 B12tubes1 R113 C81 r(2 R97 C893 R98 C90Additional R81 C89Additional R131 C89 E EMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 68 of 85 jNon-proprieta Versio( 3 (69/85)Document No. L5-04GA585(2)Attachment-2Case study of Methodology to Calculate Force to Prevent In-Plane FEI1. Evaluation CasesThe contact forces required to activate AVB supports can be reduced by changing the evaluationmethod. Following 2 cases are performed to calculate the contact forces of Row 97 Column 89(Representative tube of Category 2) at 70% power and 100% power.Case A (Original case)The reaction force of in-plane Fj and out-of-plane Fo are calculated as the maximum independently.F, = max+ }.(tyF0 = max {F (t)}The contact force Fc, which is sufficient to prevent slip motion by friction force is calculated as follows.Where,/u : Friction coefficientBy taking into account of contact force reduced by the reaction force Fo in the out-of-plane direction, therequired contact force, Freq, is derived by the equation below.Freq= Fý+FoCase B (2 a)By taking into account of the variability of the turbulent excitation force, 2 a of the reaction forces ofin-plane Fj and out-of-plane F, are calculated by the following equations.Fj = ,fF0(t)2 + [ý(t)2F0=FQ)p NF, = 2aMITSUBISHI HEAVY INDUSTRIES, LTD.Page 69 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio[)(70/85)Document No. L5-04GA585(2)2. ResultsThe contact forces of Row 97 Column 89 (Representative tube of Category 2) at 70% power and 100%power are calculated and compared with the original case (Case A) as shown in Table 1-1 and 1-2.Table 1-1 Contact Force Re uired to Activate AVB Supports at 70% Thermal PowerCase Cate Representative B01 B 02 B 03 B 04 B 05 B 06 B 07 B 08 B 09 BIO B 11 B 120goy tubesA 2 R97C89 2__B 2 R97 C89Table 1-2 Contact Force Required to Activate AVB Supports at 100% Thermal PowerCase Cate Representative BO1 B 02 B 03 B 04 B 05 B 06 B 07 B 08 B 09 B 10 B11 B 12gory tubesA 2 R97C89 -4B 2 R97 C89MITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 70 of 85 JNon-proprieta Versio( 3 (71/85)Document No. L5-04GA585(2)Attachment-3Influence of a tube at Stay Rod address on Contact forces in the Full Bundle1. PurposeThere is a tube at the each stay rod address in the full bundle analysis model, although no tube at stayrod address in real full bundle. The stay rod address is shown in Tab. 1-1. This attachment provides howmuch influence the tubes at stay rod addresses have on contact forces between AVBs and tubes in thefull bundle.Tab.1 -1 Stay Rod Address (for the quarter model)Row Column Row Column Row Column2 40 25 75 57 572 66 31 45 66 6614 68 32 84 72 7415 41 44 50 76 842. ConclusionsEliminating the tubes at stay rod address decreases contact forces on the adjacent tubes in adjacentcolumn, and increases contact forces on the adjacent tubes in the same column. However, the range ofthe influence reaches only several tubes, not so large. The cumulative probability of the contact force isalmost same between eliminating case and the original case. It can be considered that the full bundlemodel with a tube at each stay rod address is valid for calculation of the in-plane FEI occurrenceprobability.3. Acceptance CriteriaThere is no criterion, because this study is just to confirm influence of tube at stay rod address oncontact forces between AVBs and tubes.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 71 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio()(72/85)Document No. L5-04GA585(2)4. Analysis Case2 cases are additionally performed in this study. Case 5-2-1 and Case 6-2-1 model a tube at each stayrod address as original case. Case 5-2-5 and Case 6-2-4 model no tube at the stay rod address. Case5-2-1 and Case 5-2-5 simulate Unit-2 A-SG at Cycle 17th. Case 6-2-1 and Case 6-2-4 simulate Unit-3A-SG at Cycle 17th.Tab.4-1 Analysis casesI Unit Stay rod addressCase 5-2-1 Unit 2 A-SG There are tubes at stay rod addresses.Case 5-2-5 Unit 2 A-SG There is no tube at stay rod address.Case 6-2-1 Unit 3 A-SG There are tubes at stay rod addresses.Case 6-2-4 Unit 3 A-SG There is no tube at stay rod address.MITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 72 of 85 JNon-proprietay VersioS3 )(73/85)Document No. L5-04GA585(2)5. Analysis ResultsFig.5-1 shows change of the contact forces between tubes at the same row in Case 5-2-1 and Case5-2-5. The figures indicate that the contact forces on the adjacent tubes in adjacent column in Case5-2-5 (with no tube at stay rod address) decrease more than the original case. This is caused by thatthe 2 AVBs at stay rod address come close due to manufacturing dispersion. Fig. 5-2 shows change ofthe contact forces between tubes in the same column in Case 5-2-1 and Case 5-2-5. In this comparison,the contact forces in Case 5-2-5 (with no tube at stay rod address) increase more than the original case,since the 2 AVBs at stay rod address come close to each other and the 2 AVBs hold more tightly theadjacent tube in the same column. Same trend of the contact force is confirmed in Fig.5-3 and Fig.5-4for Unit-3 case. Fig.5-5 and Fig.5-6 give the cumulative probabilities of the contact forces in Category2+3 in Case 5-2-1 V.S. Case 5-2-5 for Unit 2 A-SG and Case 6-2-1 V.S. Case 6-2-4 for Unit 3 A-SG.The cumulative probabilities are almost same as each other case. Therefore, the full bundle model witha tube at each stay rod address is valid for calculation of the in-plane FEI occurrence probability.MITSUBISHI HEAVY INDUSTRIES, LTD.Page 73 of 85S023-617-1-M1543, REV. 0 INon-proprietary Versio( )(74/85)Document No. L5-04GA585(2)Case5-2-1 (Original Case: with a tube at each stay rod address)Case5-2-5 (with no tube at stay rod address)Fig.5-1 Contact forces distribution at Row 76 in Unit 2 (Case 5-2-1 and 5-2-5)MITSUBISHI HEAVY INDUSTRIES, LTD.Page 74 of 85S023-617-1-M1543, REV. 0 lNon-proprietary Versio( 3 (75/85)Document No. L5-04GA585(2)rACase5-2-1 (Original Case: with a tube at each stay rod address)Case5-2-5 (with no tube at stay rod address)Fig.5-2 Contact forces distribution in Column 84 in Unit 2 (Case 5-2-1 and 5-2-5)MITSUBISHI HEAVY INDUSTRIES, LTD.Page 75 of 85 S023-617-1-M1543, RE\/.0 rINon-proprietary Versio( ) (76/85)Document No. L5-04GA585(2)A.KCase6-2-1 (Original Case: with a tube at each stay rod address)rK-ICase6-2-4 (with no tube at stay rod address)Fig.5-3 Contact forces distribution at Row 76 in Unit 3 (Case 6-2-1 and 6-2-4MITSUBISHI HEAVY INDUSTRIES, LTD.Page 76 of 85S023-617-1-M1543, REV. 0 INon-proprietary Version( )(77185)Document No. L5-04GA585(2)Case6-2-1 (Original Case: with a tube at each stay rod address)Case6-2-4 (with no tube at stay rod address)Fig.5-4 Contact forces distribution in Column 84 in Unit 3 (Case 6-2-1 and 6-2-4)MITSUBISHI HEAVY INDUSTRIES, LTD.Page 77 of 85 S023-617-1-M1543, REV. 0 lNon-proprietary Versio{)(78/85)Document No. L5-04GA585(2)(a) Case5-2-1 (Original Case: with a tube at each stay rod address)K-7(b) Case5-2-5 (with no tube at stay rod address)Fig.5-5 Cumulative probabilities of contact force (Category2+3) in Unit 2 (Case 5-2-1 and 5-2-5)MITSUBISHI HEAVY INDUSTRIES, LTD.Page 78 of 85 S023-617-1-M1543,REV. 0 INon-proprietary Versio( ) (79/85)Document No. L5-04GA585(2)J(a) Case6-2-1 (Original Case: with a tube at each stay rod address)(b) Case6-2-4 (with no tube at stay rod address)Fig.5-6 Cumulative probabilities of contact force (Category2+3) in Unit 3 (Case 6-2-1 and 6-2-4)MITSUBISHI HEAVY INDUSTRIES, LTD.Page 79 of 85 S023-617-1-M 1543,REV. 0 INon-proprietary Version( ) (80/85)Document No. L5-04GA585(2)Attachment-4Verification of the Quarter Full Bundle Model1. PurposeThe purpose of this attachment is to verify the quarter full bundle model by comparing the cumulativeprobabilities of contact forces between the quarter full bundle model and the half full bundle model.2. ConclusionsThe quarter full bundle model is verified because it is confirmed that the results of the quarter model areconsistent with the half full bundle model results.3. Acceptance CriteriaThe contact forces in the quarter model are to correspond with the half full bundle model.4. AssumptionThe model area is a quarter by taking into account symmetry, so that the inputted manufacturingdispersion in Hot side is symmetry same as Cold side.5. MethodologyIn order to verify the quarter full bundle model, the following steps are conducted;1) to input random manufacturing dispersion to the half full bundle model2) to input the manufacturing dispersion distributed in Hot side of the half full bundle model to thequarter full bundle model3) to compare of cumulative probability of the contact forces in the quarter full bundle model with thefull bundlesMITSUBISHI HEAVY INDUSTRIES, LTD.Page 80 of 85S023-617-1-M1543, REV. 0 jNon-proprieta VersioI)(81/85)Document No. L5-04GA585(2)-A-6. Verification Results6.1 Analysis modelAll parts of the U-bend assembly above the #6 TSP (Tubes, AVBs, Retaining bars, Retainer bars andBridges) are modeled as beam elements. Figure 6.1-1 shows overview of the quarter full bundle model.The model area is a quarter by taking into account symmetry. The contact points between tube to AVB,and tube to TSP are modeled as gap elements, which show spring property in compression.L. LBird's-eye View of the ModelFront View of the ModelFig.6.1-1 Analysis model6.2 Analysis cases for verificationThe analysis cases for verification are shown in Tab.6.2-1. Random manufacturing dispersions aredifferent between at BOL and after additional 6 months operation.Tab.6.2-1 Analy is cases for verificationThe quarter model The half modelUnit-2A at BOL Case 4-1-106 Case 4-1-98Unit-2A after additional 6 months operation Case 4-1-107 Case 4-1-72MITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 81 of 85 lNon-proprieta Versio) (82/85)Document No. L5-04GA585(2)6.3 Comparison of cumulative probability of the contact forcesFig.6.3-1, Fig.6.3-2, Fig.6.3-3, and Fig.6.3-4 show cumulative probabilities of the contact forces ontubes of the quarter model and the half model. The red lines for the quarter good correspond with theblue lines for the half model at from B01 to B05. The probability of lower level contact forces at B6 inthe quarter are increased a few more than the half results, because relative displacement between B6and B7 on a tube is not generated in the quarter model due to symmetry condition, so that there is littleoff-set loading at 86. However, these differences are judge to be negligible small. Therefore, thequarter full bundle model is valid for the calculation of in-plane FEI occurrence.r1ý11sý'Fig.6.3-1 Cumulative probabilities of the contact forces in Category2 of U2A at BOL AMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 82 of 85 INon-proprietary Version( ])(83/85)Document No. L5-04GA585(2)CAFig.6.3-2 Cumulative probabilities of the contact forces in Category3 of U2A at BOL /MITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 83 of 85 INon-proprietary Versio( ) (84/85)Document No. L5-04GA585(2)JAFig.6.3-3 Cumulative probabilities of the contact forces in Category2 of U2A after additional 6 monthsMITSUBISHI HEAVY INDUSTRIES, LTD.Page 84 of 85S023-617-1-M1543, REV. 0 jNon-proprietary Version( ] (85/85)Document No. L5-04GA585(2)AFig.6.3-4 Cumulative probabilities of the contact forces in Category3 of U2A after additional 6 monthsMITSUBISHI HEAVY INDUSTRIES, LTD.S023-617-1-M1543, REV. 0Page 85 of 85