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| | number = ML18040A362 | | | number = ML18040A362 |
| | issue date = 10/21/1997 | | | issue date = 10/21/1997 |
| | title = Rev 1 to A10.1-AD-003, Pressure Locking Evaluation of Movs. | | | title = Rev 1 to A10.1-AD-003, Pressure Locking Evaluation of Movs |
| | author name = CRUZ D A | | | author name = Cruz D |
| | author affiliation = NIAGARA MOHAWK POWER CORP. | | | author affiliation = NIAGARA MOHAWK POWER CORP. |
| | addressee name = | | | addressee name = |
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| =Text= | | =Text= |
| {{#Wiki_filter:(Enclosure 1consistsofCalculation No.A10.1-AD-003, titled"Pressure LockingEvaluation ofMOVs."Enclosure 1has137pages,whicharenumberedfrom1toE4) 0 GARAUMOHAWKNUCLEARENGINEERING | | {{#Wiki_filter:}} |
| ~CA'L''C.UL'AT:.lON.',C,OV;ER'SHEET".,""
| |
| Page1(NextZ)Tetai/s7LastC'4NINEMILEPOINTNUCLEARSTATIONUnit(1,2or0=Both):2Discipline:
| |
| MECHANICAL TitlePRESSURELOCKINGEVALUATION OFMOV'SCalculation No.A10.1-AD-003 (Sub)system(s)
| |
| VARIOUSBuildingFloorElev.IndexNo.NANANAOriginator(s)
| |
| DOMINGOACRUZ~.Ael(KChecker(s)
| |
| IApprover(s) ldll/CgIC.ZeteeRevDescritionDesignPrep'd'haneNo.BDateChkDateADate01COMPLETEREVISIONTONAINCORPORATE DISP.00AANDTOUSEMOSTCURRENTINDUSTRYINF.DAca8-25-ygComputerOutput/Microfilm FiledSeparately (Yes/No/NA):NO'.:SafetyClass(SR/NSRIQxx):SRSuperseded Document(s):
| |
| A10.1-AD@03, REV.00,.~+c</I/e(9',eDOCumentCrOSSReferenCe(S)
| |
| -FOradditianal referenCeS Seepage(S):46NE
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| 'b<C.O)tits''rS
| |
| %tg.~&eg4bO4-GRefSEESECTION4.0DocumentNo.DocTeIndexSheetRevGeneralReference(s):
| |
| NONERemarks:NONEConfirmation Required(Yes/No):NoFinalIssueStatusFileLocationOperations Acceptance SeePage(s):NA(APPIFIO/VOI):APP(CeleIHold):GaleRequired(YesINo):NoEvaluation Number(s)
| |
| IRevision:
| |
| NACopyofApplicability ReviewAttached(Yes/N/R)7NRKeyWords:PRESSLOCKING,GL89-10,MOVTHRUST,SR,MECH,NMP2,GL95%7Component ID(s)(AsshownlnMEL):2CSH'MOV101,2CSL'MOV107,2ICS MOV121,122,128,129,2RHS'MOV 115,116,4A,B,C,2SWP'MOV17A,B,1 8A,B,21A,B,66A,B,67A,B,94A,B
| |
| 'gl'gl04300086 9'gI042iPDRADQCK050004i0PPDRFORMAT¹NEP-DES-08, Rev.02(F01)
| |
| GARR::::!
| |
| e':'-'!:.:::
| |
| '-':'::':'::.:-f-:.::"Page1(NextPlCALCULATION COVERSHEETTotalIa7NUOLEARENGINEERING NINEMILEPOINTNUCLEARSTATIONUnit(1,2or0=Both):2Discipline:MECHANICAL TitlePRESSURELOCKINGEVALUATION OFMOV'SCalculation No.A10.1-AD-003 (Sub)system(s)
| |
| VARIOUSBuildingNAFloorElev.IndexNo.NANAOriginator(s)
| |
| DOMINGOA.CRUZChecker(s)
| |
| /Approver(s)
| |
| @~i~r~S.Z~~,~A('(~RevDescritionDesignPrep'dChaneNo.BDateChkDateADate01COMPLETEREVISIONTONAINCORPORATE DISP.00AANDTOUSEMOSTCURRENTINDUSTRYINF.Dhcetll-25-yg ComputerOutput/Microfilm FiledSeparately (Yes/No/NA):NO.SafetyClass(SRINSRIQxx):SRSuperseded Document(s):
| |
| A10.1&D403, REV.00,.ts+~I//6/pgDocumentCrossReference(s)
| |
| -Foradditional references seepage(s):4QNE
| |
| ><Calild'rS%8,<Gacket>"ri.+RefSEESECTION4.0DocumentNo.DocTIndexSheetRevGeneralReference(s):
| |
| NONERemarks:NONEConfirmation Required(Yes/No):NoFinalIssueStatusFileLocationOperations Acceptance SeePage(s):NA(APPIFIOIVOI):APP(Cele/Hold):CeleRequired(Yes/No):NoEvaluation Number(s)
| |
| IRevision:
| |
| NACopyofApplicability ReviewAttached(YesIN/R)?NRKeyWords:PRESSLOCKING,GL89-10,MOVTHRUST,SR,MECH,NMP2,GL95%7Component ID(s)(AsshowninMEL):2CSH'MOV101,2CSL'MOV107,2ICS'MOV121,122,128,129,2RHS'MOV 115,116,4A,B,C,2SWP'MOV17A,B,18A,841 A,B,66A,B,67A,B,94A,B FORMAT¹NEP-DES48, Rev.02(FOI)
| |
| | |
| N%NIAGARAUMOHAWKNUCLEARENGINEERING CAL'CULATION'CONTINUATION SHEETvPage<@extraNineMilePointNuclearStationOriginator/Date 3crnowA.C,~//8/Ls'/rgef.Unit:2Checker/Date
| |
| ~JP.JH7A10.1-AD-003 Disposition:
| |
| NARevision011.0PURPOSE:Thepurposeofthisevaluation istoassessthecapability ofvariousmotoroperatedvalvestoopenagainstpotential pressurelockingconditions asdescribed inNUREG1275,Operating FeedbackReport-PressureLockingandThermalBindingofGateValves,andtoaddressGL89-10,Supplement 6andGL95-07.Thefollowing valveshavebeenidentified aspotentially susceptible topressurelockingperNER-2M-007, Rev.1,"Pressure LockingIThermalBindingofSafetyRelatedPowerOperatedValves".Thisevaluation usesthecurrentdesignbasistodetermine theacceptability ofthesevalves.2.0SCOPE:HighPressureCoreSpraySystem-2CSH'MOV101 LowPressureCoreSpraySystem-2CSLMOV107ReactorCoreIsolation CoolingSystem-2ICS'MOV121, 2ICS"MOV122,2ICS*MOV1 28and2ICS'MOV129 ResidualHeatRemovalSystem-2RHS'MOV115, 2RHS'MOV116, 2RHS*MOV4A, 2RHS*MOV4B and2RHS'MOV4C ServiceWaterSystem-2SWP*MOV17A, 2SWP'MOV17B, 2SWP'MOV1 8A,2SWP'MOV18B, 2SWP"MOV21A, 2SWP'MOV21B, 2SWP'MOV66A, 2SWP'MOV66B, 2SWP*MOV67A.
| |
| 2SWP'MOV67B, 2SWP'MOV94A and2SWPMOV94BI3.0METHODOLOGY:
| |
| Foreachofthevalvegroups,themostlimitingpressurelockingjconditions willbeidentified.
| |
| Utilizing theformulasderivedfromtheCommonwealth Edison,'ethod,therequiredthrusttoopenthevalvesubjecttopressurelockingisdetermined (Ref.'),andadjustedwiththeKalsiEngineering EnhancedPressureLockingMethodology (Ref.31).
| |
| | |
| ==4.0REFERENCES==
| |
| | |
| INOTES:1.NMPCTeleconwithAnchorDarling,dated8l22l95,(Attachment A)'.MPR-1691, "NineMilePointUnit2GateValvePressureLockingDuetoBonnetHeatup",datedNovember19953.Limitorque Manual,NMPCFileNo.N2L20000VALVE003, Rev.0.,andEPRIApplication GuidetoMOVs,Doc.No.NP-6660-D, Section3.3.3.FORMAT¹NEP-DES-08, Rev.01(F02)
| |
| | |
| NVNIAGARA4MOHAWKNUCLEARENGINEERING CALCULATION CONTINUATION SHEETNineMilePointNuclearStat/onOriginator/Date
| |
| ,,.4,.C.n~letzshgef.Unit:2Checker/Date
| |
| ~/o-/H7A10.1-AD-003 Disposition:
| |
| NARension014.VelanReportDM-0050,pageA4,(Attachment 8)5.NUREGICP-0152,page3C-9through3C-34,"Commonwealth EdisonCompanyPressure,LockingTestReport",(Attachment C)6.NUREGICR-5807,page5through11,"Improvement inMotorOperatedGateValveDesignandPrediction ModelsforNuclearPowerPlantSystems"(Attachment D)7.For2CSH'MOV101 DBR-CSH-MOV101, Rev.1,andMOVsizingcalculation No.A10.1-G-048, Rev.08.For2CSLMOV107DBR-CSL-MOV107, Rev.1,andMOVsizingcalculation No.A10.1-F-032, Rev.09.For2ICSMOV121DBR-ICS-MOV121, Rev.2,andMOVsizingcalculation No.A10.1-H-059, Rev.010.For2ICSMOV122DBR-ICS-MOV122, Rev.2,andMOVsizingcalculation No.A10.1-H-059, Rev.011.For2ICS'MOV128 DBR-ICS-MOV128, Rev.2,andMOVsizingcalculation No.A10.1-H-059, Rev.012.For2ICS'MOV129 DBR-ICS-MOV129, Rev.2,andMOVsizingcalculation No.A10.1-H-059, Rev.013.For2RHS*MOV4A DBR-RHS-MOV4A, Rev.1,andMOVsizingcalculation No.A10.1-E-139, Rev.014.ForRHS'MOV48 DBR-RHS-MOV48, Rev.1,andMOVsizingcalculation No.A10.1-E-139, Rev.015.For2RHSMOV4CFORMAT¹NEP-DES-OS, Rev.01(F02)
| |
| | |
| YNIAGARA0MOHAWKNUCLEARENG1NEERING CAL'CULATION CONTINUATION SHEETPage4(Next~SNineMilePointNuclearStationUnit:2Originator/Date Checker/Date Qvm'en<.cA,.C-aux/8/ZtA7/0./4'~ef.A10.1-AD-003 Disposition:
| |
| NARevision01DBR-RHS-MOV4C, Rev.1,andMOYsizingcalculation No.A10,1-E-139, Rev.016.For2RHS"MOV115DBR-RHS-MOV115, Rev.1,andMOVsizingcalculation No.A10.1-E-139, Rev.017.For2RHS"MOV116DBR-RHS-MOV116, Rev.1,andMOVsizingcalculation No.A10.1-E-139, Rev.018.For2SWP*MOV17A DBR-SWP-MOV17A, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev,019.For2SWP'MOV17A DBR-SWP-MOV17A, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.020.For2SWP"MOV18A DBR-SWP-MOV18A, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.021.For2SWP'MOV18B DBR-SWP-MOV18B, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.022.For2SWP'MOV21A DBR-SWP-MOV21A, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.023.For2SWP'MOV21B teDBR-SWP-MOV21B, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.024.For2SWP'MOV66A DBR-SWP-MOV66A, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.025.For2SWP'MOV66B DBR-SWP-MOV66B, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.0FORMAT¹NEP-DES-08, Rev.01(F02)
| |
| | |
| NVNAGARAUMOHAWKNUCLEARENGINEERING CALCULATION CONTINUATION SHEETPage(Next~eeNineMilePointNuclearStationOriginator/Date Checker/Da DC')e)>'l)e,i>I~C.Recta/8/2C/5'7ef.26.ForSWP*MOV67A Unit:2y-/rt/-f7A10.1-AD-003 Disposition:
| |
| NARevision01DBR-SWP-MOV67A, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.02?.For2SWP'MOV678 DBR-SWP-MOV678, Rev.1,andMOVsizingcalculation No.A10.1-NQ08, Rev.028.For2SWP'MOV94A DBR-SWP-MOV94A, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.029.For2SWP'MOV948 DBR-SWP-MOV948, Rev.1,andMOVsizingcalculation No.A10.1-N408, Rev.030.Roark'sFormulasforStressandStrain,SixthEdition1989,pages398,399,404,405,408.409 444and445,(Attachment E)31.ENHANCEDPRESSURELOCKINGMETHODOLOGY, KalsiEngineering, inc.(1997)5.0CALCULATION RESULTS:Asdocumented asthebottomofthelastpageforeachvalveevaluated, thethrustmarginiseitherpositiveornegative.
| |
| Apositivethrustmarginindicates thatthevalveandactuatorislikelytoovercomeapplicable theoretical pressurelockingphenomena.
| |
| Anegativethrustmarginindicates thatthevalveandactuatormaynotbeabletoovercometheapplicable theoretical lockingphenomena.
| |
| Ofthevalvesevaluated, valves2CSH'MOV101, 2CSLMOV107,2ICS'MOV121, 2ICSMOV129,2RHS'MOV115, 2RHSMOV116,2RHS'MOV4A, 2RHS'MOV48) 2RHSxMOV4C)2SWP'MOV21A, 2SWP'MOV218, 2SWP*MOV66A, 2SWP'MOV668, 2SWP'MOV678 and2SWP'MOV948 yieldedanegativethrustmargin.However,anevaluation ofplantconfiguration, normalandaccident, andsystemfunctionforeachofthevalvesanalytically susceptible topressurelockingindicates nooperability concernsandthevalveswilloperateunderpostulated accidentscenarious.
| |
| Adetailevaluation oftheresultsofthiscalculation forthevalvesidentified assusceptible topressurelockingphenomena isincludedinNER-2M07, Rev.02.CHECKERSNOTE:Thiscalculation washandchecked,therefore theMATHCADcommonlyusedcommercial programdoesnotrequiredvalidation forthisapplication.
| |
| FORMAT¹NEP-DES-08, Rev.01(F02)
| |
| | |
| NiagaraMohawkPowerCorporation NuctearEngineering OriginatorlDate~a.Cw~/,s/y>oharmsyNMP2Calculation Cont.SheetChecker/Date PageQt/37A10.1-AtM03, Rev.01ValveIDno:2CSH'MOV101 Reuired0eninForceDeternmination underPressureLockinConditions COINEDMethodDESIGNINPUTS:ValveDiskGeometry:
| |
| hubradius,b:=2hublength,L:=0.094rmeanseatradius,a:=6.125averagediskthickness, t:=1.66seatangle,a:=6e:=-'"e=o.o522180eishalfdiskanglectValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3OtherValveParameters:
| |
| DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P>.=55ValveBonnetpressure(psig),Pboggct2477Downstream pressure(psig),Pdo~'ryP.4IIValveStemDiameter, D~.--LSStaticUnseating Thrust,F~'.=4385(reference:
| |
| Test¹8,4/18/96)ValveFactorVF:=0.5(reference:
| |
| NER-2M410
| |
| )CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,It'.=cope)-'-a~(e)It=0.513(reference
| |
| ¹6)gives,'Pavg245'10P~+Pdo~AverageDPAcrossDisk, DPavgPbo~<-2DiskStNnesConstants, D:=andG:=EtE121-v2(1+v)whichgives,D1.23210GeometryFactors,C2'.=-1-14andG=1.131~10I+2ln-C3'=--+IIn-+--11bC8.'=-1+v+(1-v)2ab1+va1-vb2C9.---ln-+-1--a2b4awhichgives,C20.164C80'68C3=0.028C9=0.289COMEDPLEvaluation PCSH101A.MCD ValveID:2CSH'MOV1 01page1 I
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| NiagaraMohawkPowerCorporation NuciearEngineering Onginatorloate o~~)~4-<~~~tnhqNMP2Calculation Cont.SheetChecker/Date Pagefo(tStA10.1-AD403, Rev.01Additional GeometryFactors,.fp'=bI642422fpfpfpfpI+4--5--4-2+-~In-aaaarpIL17.=-442I-U00aI--I----~I+(I+Y)In-4aafp,whichgives,LII=0.006andL17~0/141MomentFactors,Mfb'=2DPavg'aC9/22'0)C82abob:='"'(*-0*)2bwhichgives,Mfb=-3.38910andQb~2.052'10 Deflection frompressure/bending, aaavga34ybq:=Mfb'2+Qb-C3-L11DDDwhichgives,yb~i).008qDeflection frompressureIshear,2arprpK~:=-0.32In--I+-I-2in-bab2m'DPavgaysq'=whichgives,Ksa&.404andy~%.002Deflection frompressureIhubstretch,ofee'=tt(a-b)DPavg-PfoteeLystretch'tb2Ewhichgives,Pfo~=2.579.10andy~=-3.281~10COMEDPLEvaluation PCSH101A.MCD ValveID:2CSH'MOV1 01page2 I0 NiagaraMohawkPowerCorporation NuorearEngineering Onginatorloate
| |
| ~~a+>k~CC4>4<(tetl~r)NMP2Celcutation Cont.SheetCheckerloate QIoI-r<Page~of(3IA10.1-AD403, Rev.01TotalDeflection duetopressure, yq:=ybq+ysq+yg thAdditional GeometryFactorswhichgives,r0'.=ayq=<.OIroL3'.=-4.a22roaro+IIn-+--IaroaroL9,=-a2I+vaI-vro-In-+-1-2ro4awhichgives,L3~0andL9=0PDeflection fromseatload/bending, w:=IC2roC9roC3ybw'.=L9--+L3whichgives,OCSbbybw2317106Deflection fromseatloadIshear,roroKsa:=-1.2
| |
| -In-aby~:=Ksa-whichgives,Ksa-1.343tGy~~-4.38310Deflection fromseatloadIhubcompression,
| |
| -2ttay'ompr'tbL2whichgives,ycomrTotalDeflection fromunitseatload,yw:=ybw+ysw+ycompr whichgives,yw2'7610~hi~hgi~es,wequilibn~
| |
| 3.51710'quilibrium contactloaddistribution, yqwequilibrium
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| '=ywLoadperseat=2.tta-=1.354I0yqywPressureLockingForce,COMEDPLEvaluation PCSH101A.MCD ValveID:2CSH'MOV101 page3
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| | |
| NiagaraMohatttrk Powerorporatton NuciearEngineering NMP2Catctglation Cont.SheetChecker/Date gag///-(0<Page1o(/37A10.1-AD403, Rev.01YqFpreslock:=2ma-'PM<e)-sm(e))2whichglvm.Fpreslock=1245'los JwPistonEffectForce,Pan',=0pistonstreet''tem
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| '[bonnetann)whichgives,F;1fft=4.377'10 "ReversePistonEffect"Force,Fvert.'=(ta2Pbonnetupdown'sin(0)whichgives,F~=3.02210TotalForceRulredtoOvercomePressureLockln"total'reslock+"po+vertpistoneffectFto~1'546805ACTUATORCAPABILITY:
| |
| ActuatorModelISize:MotorTorqueOutput:GearRatio:Application Factor.PulloutEfficienc:
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| ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:
| |
| TQout:=TQmRV.OGR.AfEffTQoutTHcap:=-Sf=SMB-00-10 TQm:=9.3OGR:=72Af:=0.9Eff:=0.4RV:=1.0TQout~241.056Sf:=0.018919THcap=1.27410tt-lbstt-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:
| |
| KEI:=1.20aThrustMargin:=THeap-(ptomtKEI)ThrustMargin~-1.729'10 lbsConclusion:
| |
| OpenThrustMarginisnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PCSH101A.MCD ValveID:2CSH'MOV1 01page4
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| | |
| NiagaraMohawkPowerCorporation NucteerEngineering Originator/Date we~~/i~bpNMP2Calcutation ContSheetChecker/Date
| |
| ~>-i17Page/OH/+7A10.1-AD403, Ret/.01ValveIDno:2CSL'MOV107 Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pp.=500ValveBonnetpressure(psig),
| |
| Pboggat=8931Downstream pressure(psig)Pdp~'alveDiskGeometry:
| |
| hubradius,b:=1.25hublength,L:=0.25meanseatradius,a:=1.879averagediskthickness, t:=0.626seatangle,a:=loe:=--e=0.087att2180ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v.=0.3OtherValveParameters:
| |
| eishalfdiskangleaValveStemDiameter, D<~.'=1.375 StaticUnseating Thr'ust,Fpo3399(reference:
| |
| Test¹4,6/3/96)(reference:
| |
| NER-2M410
| |
| )CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,It:=~ge)-'-sa(e)It=0.521(reference
| |
| ¹6)givesDPavg86811(PG:=E2(I+v)whichgives,D=6.60510andG=1.131~10Pup+Pdo~AverageDPAcrossDisk,DPavg:=Pbomct-2DiskStittnasConstants, D:=andEtl2t-v2Iba.bbabGeometryFactors,C2.=-I--I+2In-C3'.=--+IIn-+--I4ab4aabaIb2bI+vaI-vb2C8.'=-I+v+(I-v)-C9.---ln-+-I--2aa2b4awhichgives,C20.049C8=0.805C30.005C9=0.241COMEDPLEvaluation PCSL107A.MCDValveID:2CSLMOV107page1
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| | |
| NiagaraMohawkPowerCorPorat/on NuclearEngineering Originate rloateQcwr~g4@AceCJrP/$7NMP2Calculation Cont.SheetChecker/Date
| |
| ~~-i-17Page/rof/p7A10.1-AD403, Rw.01Additional GeometryFactors,rp.'=bI6424rprpI+4--5--4aa2rp2rpa2+-In-arpIL174I-vI--I-44rprpaa2~I+(I+v)ln-rpwhichgives,MomentFactors,LII=4.46310andLi7=0.046Mrb'=-2DPavgaC8C9a-rp-L172ab'"'(*-0')2bwhichgives,Mrb-2.11310andQb6.834-10Deflection frompressure/bending, 4aaavgyb'.=Mrb.-C2+Qb-C3-L11DDDwhichgh/es,yb~-2.798'10 qDefiectlon frompressureIshear,2arprpK:=-0.32in--I+-~I-21n-bab2saavgat.Gwhichgives,Ksa=%.077andy=-3.348'10 sqDeflet%ionfrompressureIhubstretch,Pflt(ab)DPg-PforceLystretch-ttb2Ewhichgives,Pf0~0=5.368.10
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| -andy~~-4.64910COMEDPLEvaluation PCSL107A.MCDValveID:2CSLMOV1074page2 0
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| NiagaraMotunNkPowerCorporation NuclearEngineering Originator/Date Qo~p~A.C~Pr/ralphNMP2Calculation Cont.SheetChecker/Date A~~-<7Page/2d/STA10.1-AD403, Rev.01TotalDeflection duetopressure, Additional GeometryFactorsyqybq+ysq+ystretchwhichgives,yq=<.611~10r:=aroL3=-.4-a22roaro+Iln-+--IaroaroL9.--a2I+vaI-vro-In-+-I-2ro4awhichgives,L30andL9~0Deflection fromseatloadIbending,w:=IIIC2roC9roC3ybw.-L9--.+L3whichgives,OCSbb'bw=-1.45810Deflection fromseatloadIshear,Ksa'=-1.2-In-abay~!=Ksa-tGwhichgives,Ksa<.489ysw=-1.298'10 Deflection fromseatloadIhubcompression,
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| '2'll'aycompr"'=ttbLhwhichgives,ycompr102310ETotalDeflection fromunitseatload,yw:=ybw+ysw+ycompr whichgives,yw-2.85810whichgives,wequilibrium
| |
| ~Loadperseat=2tta-2.731~10yq~4ywEquilibrium contactloaddistribution, yqwequilibrium
| |
| 'PressureLockingForce,COMEDPLEvaluation PCSL107A.MCDValveID:2CSLMOV107page3 84l NiagaraMohawkPowerCorporation NigciesrEnpineeriny Onpinstor/Date 4Cesc>//tike!rgrNMP2Calculation Cont.SheetChecker/Date
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| /)./i)/4Pat/e/>ofr3bTA10.1-ADO03, Rev.01Fp]k2na-(itcos(e)-sin(0))2'YqWwhichg/vesaFPistonEffectForce,Pa~."=02pistonstreet'stem'(bonnetatm)whichganesaFp,stoncffcct=1326'10"ReversePistonEffect"Force,2vmt[s'e'('onnetupdeum)j'smigi TotalForceReuiredtoOvercomePressureLockinwhichgives,Fv~=1.678'10Ftotall=Fpreslock+Fpo+F'vert-F'pistoncffcctwhichgivesFtotal304969710ACTUATORCAPABILITY:
| |
| ActuatorMotor/Size:
| |
| MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutputStemFactor:ThrustCapability:
| |
| TQout:=TQIRVOGRAfEffTQoutTHcap:=-Sf=SMB-00S-15 TQm:=14.18OGR:=23Af:=0.9Eff.s=0.45RV:=0.8848TQout=103.407Sf':=0.017861'IHcap5.7910ft-lbsft-lbs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMargin:=THoap-'(pmmtKEI)eThrustMargin-3.081~10lbsConclusion:
| |
| OpenThrustMarginisnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PCSL107A.MCD ValveID:2CSL'MOV107 page4
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date 6/itlF7NMP2Calculation Cont.SheetChecker/Date Wv-i~7Page/Q/I'3 7A10.1-AtM03, Rev.01ValveIDno:2ICSMOV121Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPlJTS'esign BasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P>>..=1200ValveBonnetpressure(psig),Pbonnet1200Downstream pressure(psig),Pdown0ValveDiskGeometry:
| |
| hubradius,b:=3.063hublength,L:=0.188meanseatradius,a.'=4.45averagediskthickness, t:=1.012artseatangle,u.=106:=--00.0872180ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3OtherValveParameters:
| |
| eishalfdiskangle aValveStemDiameter, D<.=2.5ValveFactorVF:=0.6StaticUnseating Thrust,F>>.=27694 (raference:
| |
| Test¹7,1/9/96)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offnctionbetweendiskandseat,lt:=~ge)-sin(e)It=0.631(reference
| |
| ¹6)AverageDPAcrossDisk,DiskStitfnesConstants, up~downavg'onnet2glvesrDPavg600D:=andG:=EtE12(i-')2(1+v)whichgives,D=2.7910andG=1.131~10GeometryFactors, C2'.=-I--I+21n-C3.'=--+IIn-+--IIba.bbab4ab4aabaIbC8.'=-I+v+(I-v)-2a2bI+vaI-vbC9.---In-+-I-a2b4awhichgives,C20.043C80.816C3=0.004C9=0.23COMEDPLEvaluation PICS121A.MCD ValveID:2ICSMOV121page1 n
| |
| NiagaraMohawkPowerCorgoration NuclearEngin<<ring Originator/Date Wa~4.C~~~/rPl~NMP2Catcutation Cont.Sh<<tChecker/Date czf85>-ir7Pager+o//P7 A10.1-AD403, Rev.01Add/t/onal Geometry'actors, rp=bI64242fpfpfpI+4--5--4aaa2rpa2+-ln-arp42II-v0fpaL17.=-I--I----I+(I+v)In-44aarpwhichgives,MomentFactors,LII~3.39810andL17=0.04Mrb.'=-2DPavgaC89a-rp-L172abDPavgQb.'=(a-roj2bwhichgives,Mrb-698.979andQb1.021'10Deflection frompressurelbend/ng, 4aaavgayb.'=M*-C2+Qb-C3-LIIDDDwhichgives,yb-1.07810qDeflection fmmpressure/sheer, 2arprpKsa.'=-0.32In--I+-~I-2In-bab2sa'vgaysqwhichgives,Ksa~%.066endy~=W.877'10 Deflecflon frompressure/hubstretch,force'=tt(a-b)DPavgPfofoo'Lystretch-ttb2Ewhichgives,Pf1.964-10endy~t,>-2.131~10COMEDPLEvaluation PICS121A.MCD ValveID:2ICS'MOV121 page2 f
| |
| NiagaraMohawkPowerCorPoratlon NuclearEngineertng originator/Date Qc~r~rg.Q~pNMP2Calculation Cont.SheetChecker/Date
| |
| ~~-i-e7PageAaf/3PA10.1-AD403, Rev.01TotalDeflection duetopressure, yq'bq+-"sq+ystretchAdditional GeometryFactorswhichgives,ro,'=ay=-1.78710qroL3.'=-.4a22roaro+1ln-+--1aroaroL9--.aIII2lyva1-vro-ln-+-1-2ro4awhichgives,L30andL90Deflection fromseatload/bending, w:=1a3.wC2ro.C9roC3'bw'9--+L3whichg/ves,DC8bbybw~-3.6710Deflection fromseatload/shear, roroKsa:=-1.2-ln-abayswi=Ksa-tGwhichgives,Ksa-0.448y~~-1.743'10 Deflection fromseatload/hubcompression,
| |
| -2ttaycompr'=ttbL2whichgives,y=-3.03310TotalDeflection fromunitseatload,yw:=ybw+ysw+
| |
| ycomprwhichgives,y-5.44310whichgives,weq~brium 328415Equilibrium contactloaddistribution, yqequilibrium
| |
| 'wLoadperseat=2tta-9.1831(PyqywPressureLockingForce,COMEDPLEvaluation PICS121A.MCD ValveID:2ICS'MOV121 page3
| |
| | |
| NiagaraMohawkPovtterCorporation NuctearEngineering Originator/Date
| |
| @capri@A~C.~/tr/Z5ly7NMP2Catculation Cont.SheetChecker/Date IO.WPPager7of/P7A10.1-AD403.
| |
| Rev.01YqFp~lock'tt'a
| |
| -(Itcos(8)-
| |
| sin(0))2whichgives, Fprslock993810~'wPistonEN'ectForce,Pau:=0pistonstreet'stem'(bonnet,stm)F1st"ReversePistonEffect"Force,Fcrt.=rta2pbonnctupdownTotalForceReuiredtoOvercomePressureLockinwh/chg/vesFycrt6506I0F<<taI:=Fpreslock+Fpo+Fycrt-Fpistonaffecwhichgives,.F<<~=3.82481410ACTUATORCAPABILITY:
| |
| ActuatorModelISizerMotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor:ThrustCapability:
| |
| TQoutTHcap:=-SETQout:=TQmRVOGRAfEff=SB-2-60TQm:=51.63OGR:=101.52Af:=0.9EK:=0.35RV:=0.8627TQout~1.229'10Sf:=0.029481THcap~4.16810ft-Ibsft-IbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:
| |
| KEI:=1.20TbtnstMssipn:=THeep-(FtomtKEI)ThrustMargin~-4.21610IbsConclusion:
| |
| Open,ThrustMarginisnegative, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PICS121A.MCD ValveID:2ICSMOV121page4
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date DurgaA~C49t)pljrrNMP2Calculation Cont.SheetChecker/Date Page/got/'37A10.1-AD403, Rev.01ValveIDno:2ICSMOV122Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS'esign BasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P>>.=160ValveBonnetpressure(psig),Pbonnet,.=160 Downstream pressure(psig),Pd.=0ValveDiskGeometry:
| |
| eishalfdiskangle ahubradius,b:=4.94meanseatradius,a=5.75averagediskthickness, t:=0.789attseatangle,a:=7e:=--e=o.o612180ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3OtherValveParameters:
| |
| ValveStemDiameter, D~.=2ValveFactorVF:=0.5StaticUnseating ThrustFpo9730(reference:
| |
| Test¹30,10/27/93)
| |
| (reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,it:=~ge)-'-~(e)lt=0.515(referece
| |
| ¹6)AverageDPAcrossDisk,DiskStiffnesConstants, up+downDPavg'bonnet2gives,DPavg,803EtandG.E121-v2(1+v)whichgives,D=1.32210andG=1.131~10GeometryFactors,C2.'=-1--1+2ln-C3'.=--+1ln-+-.-11b2C8.=-1++2aC9.---ln-+-1--whichgives,C20.009C8=0.908C3=4.316'10 C9=0.124COMEDPLEvaluation PICS122A.MCD ValveID:2ICSMOV122page1 0
| |
| hNiagaraMohawkPowerCorporation NuctearEngineering Originator/Date
| |
| +~~~AiO~y4/jpl+TNMP2Calculation Cont.SheetChecker/Date 7-1+7Page/fol~TA10.1-AD403, RW.01Additional GeometryFactors,rp.=bI64hh242000I+4--5--4aaarpa21--In-arpIL17442I-U'0aI--I----I+(I+Y)In-"4aarpwhichgives,MomentFactors,LII=1.54510andL170.009Mrb'=-2DPavgaC8C9a-rp-L172ab'(0)2b'hichgives,Mrb-28.505andQb=70.113Deflection frompressurelbending, 4aaavgyb'=Mrb-C2+Qb'C3-LIIDDDhwhichgives,yb~3398'10qDeflect/on frompressurelshear,2arprpK~:=-0.32'In--I+-~I-2In-bab2m'vgatG"whichgives,Ksa~%.013andysq371510hhDeflection frompressure//hub stretch,orce'=tt(a-b)DPavg-Pforce.Lystretchttb.2Ewhichgives,Pforce2176l(Pandystretch603410COMEDPLEvaluation PICS122A.MCD ValveID:2ICS'MOV122 page2
| |
| | |
| NiagaraMohawkPowerCorporation NuotearEngineering Originatorloate
| |
| 'Daor~poJPr~Mi</r5~f7NMP2CatoLrlation Cont.SheetChN'kar/Ost IggpPage~i>~A10.1-AD403, Rw.01TotalDeflection duetopressure, yq'bq+ysq+ystretchwhichgives,y=-7.17410Addilional GeometryFactorsro.'=aroL3.=-.4a22roaro+Iln-+--IaroaroL9.'=-a2I+vaI-vro-In-+-I--2ro4awhichgives,L3=0andL9=0PDeflection fromseatload/bending, w'-]C2rpC9foC3ybw'~L9--+L3DC8bbwhichgives,ybw=-1.43~oDeflection fromseatload/shear, Ksa:=-1.2
| |
| -ln-aby:=Ksa-whichgives,Ksa.182tGy~-1.174'10 Deflection fromseatload/hubcompression,
| |
| -2'1taycomprttbL2whichgives,y~mpr=-I002'10TotalDeflection fromunitseatload,yw:=ybw+yswaycomprwhichgives,yw262110whichgives,Equilibrium contactloaddistribution, yqwequilibrium
| |
| 'Loadperseat=2tta-988.835yqywequilibrium PressureLockingForce,COMEDPLEvaluation PICS122A.MCD ValveID:2ICS'MOV122 page3
| |
| | |
| NiagaraMohawkPowerCorPoration NuctearEngineering Originator/Date WCms>c/A~~/g//25'lf 7NMP2Catculation Cont.SheetChecker/Date Pagegloti>7A10.1-AO403.
| |
| Rev.01VqFpresIock2+a(pcos(e)-sin(e))2whichgives,Fpreslock=895.433Yw1'istonEffectForce,Pau:=02Fpistcnstreet'Dstem'(Phcnnet-Penn}whichgive,pistcnefreet=502655"ReversePistonEffect"Force,Fvert.'=na2Pbonnetupdown-sin(e)whichgives.TotalForceReuiredtoOvercomePressureLockinF~1.015'10Ftotal:=Fpreslock+Fpo+Fvert-Fpistoneffectwhichgives,F><=1.113735 10TQoutTHcap:=-SfACTUATORCAPA8ILITYt ActuatorModel/Size:
| |
| MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:TQout:=TQmRVOGRAfEffStemFactor:ThrustCapability:
| |
| =SMB-0-25TQm:=25.0OGR:=43.69Af:=0.9Eff:=0.4RV:=0.806 TQout=316.927Sf:=0.019627THcapIs61510ft-lbsft-IbsIbsENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20 ThrustMtutpn:=THcsp-(FmmiKHI}ThrustMargin~2.783~10IbsConclusion:
| |
| OpenThrustMarginispositive, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PICS122A.MCD ValvelD:2lCSMOV122page4
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date
| |
| ~,~,A'.~c./,];ZPP NMP2Calculation Cont.SheetChecker/Date
| |
| +"r-i+7PagegZof/3
| |
| ~Ato.t-AD403.
| |
| Rev.01ValveIDno:2ICSMOV128Reuired0eninForceDefernminafion underPressureLockinConditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),
| |
| Pp.=1200 ValveBonnetpressure(psig),Pbonnet
| |
| '=1200Downstream pressure(psig),Pdo.=0ValveDiskGeometry:
| |
| hubradius,b:=3.063hublength,L:=0.188rmeanseatradius, a:=4.45averagediskthickness, t:=1.012aftseatangle,a:=100:=--80.0872180ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 OtherValveParameters:
| |
| Poisson's Ratio,v:=0.38ishalfdiskangle uValveStemDiameter, D~.=2.5ValveFactorVF:=0.6StaticUnseating Thrust,Fpo17995(reference:
| |
| Test¹10,5f4N5)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offnct/onbetweendiskandseat,It:=cue)-sin(6)It=0.631(reference
| |
| ¹6)AverageDPAcrossDisk,DiskSfiffnesConstants, up+downDPavg.'=Pbonnet2gives,DPavg600D:=andG:=EtEl2(1-')2(1+v)whichgives,D=2.7910andG=1.131~10Iba.bbabGeometryFactors,C2'.=-I--I+2In-C3'.=--+IIn-+--I4ab4a,abaIbC8:=-I++2bI+vaI-vb2C9'=--In-+-I-a2b4awhichgives,C20.043C808'6C3~0.004C9~0.23COMEDPLEvaluation PICS128A.MCD ValveID:2ICSMOV128page1
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Origina!or/Date2c/isJapNMP2Calculation Cont.SheetCheckor/Da!
| |
| ep-j-f7PageZgofiS7'10.1-AD403, Rev.01Addit/onal Geomet/yFactors,rp'.=b2422fpfpfpfpL11'=-I+4--5--4.-~2+-ln-64aaaarpIL17.'=-442I-Y00aI--I----I+(I+Y)ln-4aarpwhichgives,LII=3.39810andMomentFactors,L17~0.04~Mrb'DPavgaC9(2'pj1(C82ab~b:=.'"'(*-0*)2bwhichgives,Mrb-<98.979andQbI021IpkDeflection frompressure(bending, aaavga34yb'=M*-C2+Qb'C3-LIIooowhichgives,yb=-1.078-10 qDeflection frompressureIshear,2arpr'pK~:=-0.321n--I+-~I-21n-bab2Km'DPavgat.Gwhichgives,Ksa%.066andIIIy~%.87710sqDeflection frompressurelhubstretch,Pfpfee't(ab)DPavgPfpfce'Lystretch'=ttb2Ewhichgives,Pfp~=1.96410andy~h=-2.13110COMEDPLEvaluation PICS128A.MCD ValveID:2ICS'MOV128 page2
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| | |
| NiagaraMohawkPowerCorporation NuctearEngineering Originator/Date uo~r~~<-d~pc/~VppNMP2Calculation Cont.SheetChecker/Date A10,1.AD403, Rev.01TotalDeflection duetopressure, yq:ybq~ysq+y~~h whichgives,y=-1.78710Additional GeometryFactorsro.'=aroL3,--4a22roaro+IIn-+--IaroaroL9-'=-a21I+vaI-vro-In-+-I-2ro4awhichgives,L3=0and'L90Deflection fromseatload/bending, w:=Ia3.wC2roC9ro.c3ybw'9--+L3DC8bbwhichgives,ybw=-3.6710Deflection fromseatload!shear, roroKsa:=-1.2-In-aby~.'=Ksa-whichgives,KsaW.448tGy~~-,1.74310Deflection fromseatload/hubcompression,
| |
| -2'tt'aycompr'tbL2whichgives,ycompr3'03310TotalDeflection fromunitseatload,yw:=ybw+y~+ycomprwhichgives,yw=-5.44310whichgivestwcqtulibzum 328.415Equilibrium contactloaddistnbut/on, yqwequiIibrium ywLoadperseat=2tta-=9.183~10yqywPressureLockingForce,COMEDPLEvaluation PICS128A.MCD ValveID:2ICS'MOV128 page3 It NiagaraMohawkPowerCorPoration NuctearEngineenng Originator/Date ZcXs~~vA.~/P'/t,rZzlppNMP2Catculation Cont.SheetChecker/Date
| |
| ~retr'I"Pagano//97A10.1.AD403, Rev.01Yq3Fpreslock2tta-(pcos(1)-sin(e))2whichgives,Fpreslock=9.938'0VwPistonEffectForce,Pau'.=0ttFpinonWmt''Dm'(PhonerPenn)rwhichg/ves,Fpistoneffec"ReversePistonEffect"Force,Frets.=[as (2Phonnet up-Pttoten)]sin(S)
| |
| TotalForceReuiredtoOvercomePressureLockinwhichgives,Fv~650610Ftotall=Fpreslock+Fpo+Fvert-Fpistonwhichgives,F>~2.854914.10 ACTUATORCAPABILITY:
| |
| ActuatorMode!ISize:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:TQout:=TQmRVOGRAfEffStemFactor:ThrustCapability:
| |
| THcap:=-TQoutSf=SB-2-60TQm.'=58.37OGR:=72.01Af:=0.9Eff:=0.4RV:=0.8703TQout=1.14610Sf:=0.029481THcap~3.88810ft-1bsft-1bs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNG METHODOLOGY:
| |
| KEI:=1.20 ThrustMtntpn:=THoap-(Fn,uuKE!)ThrustMargin4.617'101bsConclusion:
| |
| OpenThrustMarginispositive, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PICS128A.MCD ValveID:2ICSMOV128page4
| |
| | |
| NiagaraMohawkPowerCorgoration NuoiearEngineering NMP2Calculation Cont.Sheetcheekerioste~
| |
| r/</r7Pageant/'0 7A10.1-AD403, Rev.01ValveIDno:2ICS'MOV129 Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPIJTS:ValveDiskGeometry:
| |
| hubradius,b:=2.25meanseatradius,a:=3averagediskthickness, t:=0.378e:=-'"e=o.o612180eishalfdiskangle ahublength,L:=0.125seatangle,u:=7ValveDiskMaterialProperties:
| |
| modulusofelasticitY, E:=29400000 Poisson's Ratio,v:=0.3DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pp.=76ValveBonnetpressure(psig),Pbonn<<=2799Downstream pressure(psig),Pdo~0OtherValveParameters:
| |
| ValveStemDiameter, D<~.=1.5ValveFactorVF:=0.65StaticUnseating Thrust,F~.=5924(reference:
| |
| Test¹12,6/QM3)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,It.,=cue)-sin(e)It0.676(reference
| |
| ¹6)AverageDPAcrossDisk,DiskStlffnesConstants, avg'onnetPup+Pdo~gives;DPav<=2.761~102D:=andG:=EtEu(1-.*j2(1+v)whichgives,D=1.45410andG=1.131~101ba,bbabGeometryFactors, C2.'=-I--I+2.1n-C3'.=--+1ln-+--I4ab4aaba1b2C8.=-1+v+(1-v)-2abI+va1-vb2C9.---ln-+-1--a2b4awhichgives,C20.028C8~0.847C3~0.002C9~0.198COMEDPLEvaluation PICS129A.MCD ValveID:2ICS'MOV129 page1
| |
| | |
| NiagaraMohawkPowerCorPoration NuctearEngineering Onginator/Date Wc,~~a,A'.QuarSc./ip~NMP2Catcutation ContSheetChecker/Date PageMottpTA10.1-AD403, Rw.01Additional Geomet/yFactors,rp.'=bI11642422rprpfpfpI+4--5--4-~2+-ln-aaaarpIL17'.=-.442I-vrOrOaI--I----I+(I+v)In-4aarpwhichgives,MomentFactors,LII=1.45310andL17=0.027Mg:=-2DPavgacsC9-(-0j-"I72ab.,~b:=-'"'('-0')2bwhichgives,Mrb=%03.057andQb~2.41610Detiection frompressureIbend/ng, aaavg.a34yb'.=Mrb-C2+Qb-C3-LIIooowhichgives,yb--8.04910qDeflection frompressureIshear,2a'o'oK:=-0.32In--I+-I-21n-sa'ab2sa'vgatGwhichgives,Ksa041'ndy~-2.40410sqDeflection frompressure/hubstretch,Pfore'0Tt(ab)DPavg-PforceLystretch'=ttb2Ewhichgives,Pforce341510andystretch-4.56510COMEDPLEvaluation PICS129A.MCD ValveID:2ICSMOV129page2
| |
| | |
| NiagaraMohawkPowerCorPoration NuotearEngineering Ortginatorioate Woe~-.4.Cavyc/~/ppNMP2Calcutatton Cont.Sheetchecker/Dmto~
| |
| p/j/rpPagegdoflVV'10.1-ADOOS, Rev.01TotalDeflection duetopressure, Addilional Geometry'actors yq'=ybq+ysq+yst tchwhichgivesyq=~001ro.'=aroL3=-4a22roaro+11n-+--1araroL9.'--.ar1+va1-vo-ln-+-1-2ro4awhichgives,L3=0andL9=0Deflechon framseatload/bending, w:=IIPas.wC2roC9roC3yb'.=-----L9--+L3DC8bbwhichgives,ybw=-1.08810Deflection fromseatload/shear, roroKsa:=-1.2-In-abay~'.=Ksa-tGwhichgives,Ksa<.345ysw~-2.42310Deflection fromseatload/hubcompression,
| |
| -2rtaycompr'=rtbL2whichgives,ycompr=-252'107otalDeflection fromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw133210Equilibrium contactloaddistribution, cqttitibrtttm whichgives,yqwLoadperseat=2rta-=1.48510yqywwcqtttTtbrtttm 787.968PressureLockingForce,COMEDPLEvaluation PICS129A.MCD ValveID:2ICSMOV129page3 lgFy NiagaraMohavttkPovtrerCorporation NuclearEngineering Originatorloate
| |
| 'Qp~ry>><.Cecq/gQj/F7NMP2Calculation Cont.SheetChecker/Date
| |
| ,gHIIPage2lotI77A10.1.AD403, Rev.01VqFp1ock21ta(pcos(0)sin(8))2whichgives,Fp,1oc1'wPistonEffectForce,Pau:=01t2I"pistonstreet''tem'i bonnetatm)pistoneffect"ReversePistonEffect"Force,Fvetttta2PbonnetPupPtlownstn()whichgivesFvert953210TotalForceReulredtoOvercomePressureLocklnFtotal:Fpres1ock+FpotF>crtFpistowhichgives,F<<~=2.872746 10ACTUATORCAPABILITY:
| |
| ActuatorModel/Size:MotorTorqueOutput:GearRatio:Application Factor.PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:
| |
| TQoutTHcap'.=-,SfTQout:=TQmRVOGR.AfEffft-lbsft-Ibs=SMB-00-10 TQm:=10.0OGR:=36.2 Af:=0.9Eff:=0.4RV:=0.8252TQout107.54Sf:=0.015334THcap=7.01310'bsENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20TbrnstMargin:=THoap-(F>>mtKEI)ThrustMargin~-2.746101bsConclusion:
| |
| OpenThrustMarginlsnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PICS129A.MCD ValveID:2ICSMOV129page4 0
| |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date
| |
| ~/i~/vrNMP2Calculation Cont.SheetChecker/Date PageQO//P7A10.1AD403.Rev.01ValveIDno:2RHSMOV115ReuiredOeninForceDeternminafionunderPressureiockin Condifions COMEDMethodDESIGNINPUTS'alve DiskGeometry:
| |
| hubradius,b:=5.75hublength,L:=0.25meanseatradius,a:=7.703averagediskthickness, t;=1.644seatangle,a'=100:=-'"0-0.08721800ishalfdiskangle aValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3OtherVaNeParameters:
| |
| DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P.=85ValveBonnetpressure(psig),Pbonnet'=7105Downstream pressure(psig),Pdo~0It0.521(reference
| |
| ¹6)ValveStemDiameter, D~.=2.375'tatic Unseating Thrust,Fpo12604(reference:
| |
| Test¹4,6/24/93)ValveFactorVF:=0.5(reference:
| |
| NER-2M-010) 1CALCULATIONS:Coefficient offnctionbetweendiskandseat,It:=~<0)-sin(0)AverageDPAcrossDisk,DiskSt/ffnesConstants, gives,DPag=7.06310andG:=2(1+v)P~+Pdo~avg'onnet2Et312I-vwhichgives,D=1.19610andG1.131~10Iba".bbabGeometryFactors,C2'.=-I--~I+2In-C3',=--+IIn-+--I4ab4aabaIb2C8-'+v+(I-v)-2a2C9.---In-+-I-whichgives,C2~0.029C8~0.845C3~0.002C9=02COMEDPLEvaluation PRHS115A.MCD ValveID:2RHSMOV115page1 0
| |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date Wc~i~~W.impc.gp/ppNMP2Calculation Cont.SheetChaclterllhte
| |
| ~Qg/~ePagea/of/'3T A10.1-AD403, Rev.01Additional GeometryFactors,rp"=b242I000LII'=-1+4--5--464aaa2rpa2+-ln-arpIL1744I-v0I--I--4a2rpaI+(I+v)In-arpwhichgives,LII=1.53510andMomentFactors,2DPavgaC9/Mrb'.=-~-~a-rp,i-L17C82abL17~0.028'(Oi2bwhichgives,Mrb=-1.5710andQb1.61410Deflection frompressureibending, 4aa"avg'b'rb'C2+Qb'C3
| |
| 'LllD.DDwhichgives,yb=W.OOIqDetiecfion frompressure/shear,2arprpK~:=-0.321n--I+-~1-21n-b-'b2stt'vgat.Gwhichgives,Kaa=%.043andy~=%.605'ODefieÃonfrompressurelhubstretch,Pforca't(ab)DPavg-PforciLystretch-ttb2Ewhichgives,Pf0~5.82910andy~th-2.38610CQMEDPLEvaluation PRHS115A.MCD ValveID:2RHS'MOV115 page2
| |
| | |
| NiagaraMohawkPowerCorporation NuotearEngineering Originatorloate Vo~rvpe4.Qmac/(slp7NMP2Calculation Cont.SheetChecker/DIt
| |
| ~~p/1)ggPage32ofr&7A10.1-AtM03, Rev.01TotalDeflection duetopressure, Additional GeometryFactorsyq:ybq+ysq+y~~h whichgives,,yq=%.002r"=aroL3--4a22roaro+IIn-+--IararpL9.=-a2I+vaI-vro-~In-+-I-2rp4awhichgives,L3=0andL9=0Detlection fromseatload/bending, w:=IC2rpC9fpC3ybw'9--+L3whichgives,DC8bbybw=-2.33810Deflection fromseatload/shear, Ksa:=-1.2-In-abaysw'=~'Gwhichgives,Ksa-0.351y'w-1.454'10 Deflection fromseatload/hubcompression,
| |
| -2'tt'aycompr'tbL2whichgives,y~r=-1.981~10TotalDeflection fromunitseatload,yw:=ybw+ysw+yeomprwhichgives,yw3'81110Equilibrium contactloaddistnbution, yqwequiiibritm:=
| |
| -whichgives,ywLoadperseat~2tta-=2.71210yqywwequilibrium 5'6NIPPressureLockingForce,COMEDPLEvaluation PRHS115A.MCD ValveID:2RHS'MOV115 page3 0
| |
| NiagaraMohawkPowerCorporation NuoiearEngineering Originatot/Date z~~g~g;A.4~8/zHs7NMP2Calculation Cont.SheetChecker/Date Page&of/3'7A10.1-AD403, Rev.01Yqpreslock'=211a-"(p'cos(e)-
| |
| sin(e))2"whichg/ves, Fpresloci;YwPistonEffectForce,pistonetreot'='tem'(bonnetatm)whiclgives,Fpistonegect"ReversePistonEffect"Force,.IPont/=[aa(2PbonnetnpPttonn)]sin(g)TotalForceReuiredtoOvercomePressureLockinwhichgives,F~=2.29510Ftotd:=Fp~I~k+Fpo+F v~-Fpi~nerectwhichgives,Ftod4.44765410ACTUATORCAPABIUTY'Qout THcap:=-SfActuatorModelISIze:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:TQout."=TQmRV-OGRAfEffStemFactoi:ThrustCapability:
| |
| =SMB-0-25TQm.'=24.67OGR:=58.13 Af:=0.9Eff:=0.4RV:=0.8767TQout=396.802Sf:=0.023664THcap1.67710ft-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.JtENHANCEDPRESSURELOCIQNGMETHODOLOGY:
| |
| KEI:=1.20TbrnstMargin:=THoap-(pmmtKBI)ThrustMargin~-5.17101bsConclusion:
| |
| OpenThrustMarginIsnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PRHS115A.MCD ValveID:2RHS'MOV115 page4
| |
| | |
| NiagaraMohawkPowerCorporation NuotearEngineering Originator/Date
| |
| <</c'r/r7NMP2Calcutation Cont.SheetCh<<kerlDle~>//~Pageggf137A10.1.AD403.
| |
| Rev.01ValveIDno:2RHS'MOV116 ReuiredOeninForceDeternminationunderPressureLockin Conditions COMEDMethodDESIGNINPUTS'alve DiskGeometry:
| |
| hubradius,b:=5.75meanseatradius,a.'=7.703 averagediskthickness, t:=1.644attseatangle,a.=100:=--0=0.08721800ishalfdiskangle ahublength,L:=0.25ValveDiskMaterialProperties:
| |
| modulusofelasÃcity, E:=29400000 Poisson's Ratio,''.=0.3OtherValveParameters:
| |
| DesignBasisConditions attImeofPressureLockingEvent:Upstreampressure(psig),Pp.=133ValveBonnetpressure(psig),Pbonnet=1868Downstream pressure(psig),Pdown0ValveFactorVF:=0.5ValveStemDiameter, D~..=2.375StaticUnseating ThrustFpo16894(reference:
| |
| Test¹10,7/10195)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offrictionbetweendiskendseat,it:=cos(0)--sin(0)IVFp0.521(reference
| |
| ¹6)AverageDPAcrossDisk,DiskStNnesConstants, up+"downDPavg'.=Pbonnet2glvesrD;=andG:=i2.(1-')2(1+v)DPavI80210whichgives,D1.19610andG=1.131~10IbabbabGeometiyFactors, C2.=-I--1+2ln-C3'.=--+Iln-+--I4ab4aabaIb2bI+vaI-vb2C8:=-'+v+(I-v)C9,---In-+-I--2aa2b4awhichgives,C20.029C80.845C3=0.002C9=0.2COMEDPLEvaluation PRHS116A.MCD ValveID:2RHS'MOV116 page1 0w}
| |
| NiagaraMohawkPowerCorporation NuctearEngineering Originator/Date
| |
| +~~ape+-OW2rXp(gpNMP2Calculation Cont.SheetCheckerloate
| |
| ~g~/pPage'PSof~>>Ato.t-AD403, Rev.01Additional GeometryFactors,rp.'=b2422IfPrPrPfPL11'.=-1+4--5--4-~2+-In-64aaaarpIL17-=-.42I-vrprpaI--I----I+(I1-v)In-4aarpwhichgives,L1,1=1.53510andMomentFactors,2DPavgaC9/~(a-rp(-L17C82abL17=0.028'rib.-'"'.(a'-r,*j2bwhichgives,M~=-4.00510and3Qb=4116IODefiedion frompressure/bending, aaavg.a34yb'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb~-2.93710qDetiection frompressure/shear, 2arprpK~:=-0.32In--I+-I-2In-bab2mPavgaysqwhichgives,K~~&.043andy-24510sqDefieBion frompressure/hubstretch,Pf"'(ab)DPg-PforceLystretch'vnb2Ewhichgives,Pfo~1.487'10andystretch%.087'10COMEDPLEvaluation PRHS116A.MCD ValveID:2RHS'MOV116 page2
| |
| : lII, NktgaraMohawkPovrerCorporation NuclearEngineering Ortginatorloate
| |
| ~~~~y~~.8~al~s/j~NMP2Calculation Cont.SheetChecker/Date
| |
| ~le/e~Page/cotr>WA10.1-AD403.
| |
| Rev.01TotalDeflection duetopressure, Additional GeometryFactorsyq:=ybq+ysq+yst thwhichgives,yq544810ro;=aroL3--.4a22roaroe-IIn-+--IaroaroL9.'=-a2I+vaI-vro-In-~-I-2ro4awhichgives,L3=0andL9~0Deflection fromseatload/bending, w:=Ias.wC2roC9roC3ybw-L9--+L3whichgives,DC8bbybw"2.338'10 Deflection fromseatload/sheer, roroKsa.'=-1.2-In-abysw.'=Ksa-whichgives,tGKsa~<.351ysw~-1.454'10 Deflection fromseatload/hubcompression, L--2'tt'a2ycompr'=2'ttbEwhichgives,y~-1.981~10TotalDeflection fromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw~-3.81I10whichgives,wequilibrium
| |
| ~1.42910Equilibrium contactloaddistribution, yqwequilibrium
| |
| '=ywLoadperseat=2tta-6.91810yq4ywPressureLockingForce,COMEDPLEvaluation PRHS116A.MCD ValveID:2RHS'MOV116 page3
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date Qc,~/~aug tieg/Z)l57NMP2Calculation Cont.SheetChecker/Date
| |
| >>geN<</37A10.1-AO403, Rev.01preslock''"'a'(>'
| |
| )())''v'reslockYq~4YwPistonEffectForce,P~,=0pistoneffect''Dstem'i bonnetatm)whichgives,Fp,st,neffect=8.27510'Reverse PistonEffect"Force,Frets.'=[s a(2Fbonnet-Pp-Pgo~)]
| |
| sin(g)TotalForceReuiredtoOvercomePressureLockinwhichgives, F~=5.85410Ftotal'Fpreslock+Fpp+Fvert-Fpistoneffectwhichgives,F>~=.1.26883
| |
| ~10ACTUATORCAPABILITY:
| |
| 'ctuatorModel/Size:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:'StemFactor.ThrustCapability:
| |
| TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=SMB-0-25TQm'=24.67OGR:=58.13Af:=0.9Eff:=0.4RV:=0.8731TQout~393.55Sf:=0.023664THcap~1.663~10ft-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORIS AC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMargin--THcap-(FtoMKEi)ThrustMargin~-1.356'10 lbsConclusion:
| |
| OpenThrustMarginisnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PRHS116A.MCD ValveID:2RHS'MOV116 page4 0
| |
| NiagaraMohawkPowerCorporation NuctearEngineering Originator/Date NMP2Calculation Cont.SheetChecirer/Date Paggtrtri
| |
| /P7A10.1.AD403, Rev.01ValveIDno:2RHSMOV4AReuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:ValveDiskGeometry:
| |
| hubradius,b:=2.25hublength,L:=0.125raveragediskthickness, t:=0.378e:=-''-o.o612180eishalfdiskangle a4meanseatradius,a:=3seatangle,a:=7ValveDiskMaterfalProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3DesignBasIsConditions attimeofPressureLockingEvent:eUpstreampressure(psig),P=325ValveBonnetpressure(psig),Pbo<<=9677Downstream pressure(psig),Pdown0OtherValveParameters:
| |
| ValveStemDiameter, D<~'.=1.5ValveFactorVF:=0.5StaticUnseating ThrustFpo6341(reference:
| |
| Test¹5,t/7/97)(reference:
| |
| NER-2M-010)
| |
| CALCULA77ONS:
| |
| Coefficient offiictionbetweendiskandseat,lt:=cope)--sin(e)IVFIt0.515(reference
| |
| ¹6)AverageDPAcrossDisk,DiskStlffnesConstants, gives,DPavg951510andG'=2(I+v)up~downavg'onnet2E.t3u(i-.*jwhichgives,D1.45410andG1.131~10b1+vaI-vb2C9---In-+-I--a2b4aIba.bbabGeometryFactors,C2'.=-,I--~I+2In-C3'=--+IIn-+--I4ab4aabaIbC8.=-2awhichgives,C20.028C8=0.847C3=0.002C9=0.198COMEDPLEvaluation PRHS4AA.MCD ValveID:2RHS'MOV4A page1 lj NiagaraMohawkPowerCorPoration NuctearEngineering Originator/Date Wo+.~~-4.Ce g~/~g/.~NMP2Calculation Cont.SheetChecker/Date Page5&f~>>A10.1-AtM03, Rev.01Additional Geometry'actors, rp'.=bI64242fpfpfpI+4--5--4aaa2rpa2+-~In-,arp1L174421-vrPrPaI--I----I+(I+v)ln-4aarpwhichgives,MomentFactors,LII=1.45310andL17=0.027Mrb'DPavgaC8a-rp-L172.ab<b:-.'"'(*-"*j 2bwhichgives,Mrb=-3.11210andQb~8.32510Deflection frompressureibending, 4aaavgyb'=Mrb-C2+Qb-C3-L11ooowhichgives,yb=<.003qDeflection frompressure/shear, 2arprpK:=-0.32In--I+-I-21n-Sa'bb2sa'vgysq'=whichgives,Ksa=%.041andy'8.28610sqDeflection frompressurelhubstretch,Pf0~tt(ab)DPavg.-Pto~'Lystretch'=ttb2Ewhichgives,Pto~=1.17710andy~~~-1.57310COMEDPLEvaluation PRHS4AA.MCD ValveID:2RHS'MOV4A page2 IhI~
| |
| NiagaraMohawkPowerCorporation NuclearEngineering Originatorloate Qomrap.g.@goy/gy/<NMP2Calculation Cont.SheetPagegoofisTA10.1-AD403, Rev.01TotalDeflection duetopressure, Additional GeometryFactorsyq:=ybq+ysq+yg etchwhichgives,yq=.004r.'=aroL3'=-4a22roaro+IIn-~--Iar'0aroL9,'=-a2I+vaI-vro-ln-+-I-2ro4awhichgives,L3=0andL9=0Deflection fromseatload/bending, w:=IC2roC9roC3ybw-L9--+L3whichgives,DC8bbybw=-1.08810Deflection fromseatload/shear, roroKsa:=-1.2-In-aby~:=Ksa-whichgives,tGKsa<.345ysw~-2.42310Deflection fromseatload/hubcompression,
| |
| .-2naycompr'bL2Ewhichgives,ycompr252109TotalDeflection fromunitseatload,yw:=ybw+yswaycomprwhichgives,yw=-1.33210Equilibrium contactloaddistribution, wequii;brium.'=
| |
| -whichgiveswequilibriu
| |
| =2.71510yqywLoadperseat=2na-=5.11810yqywPressureLocldngForce,COMEDPLEvaluation PRHS4AA.MCD ValveID:2RHSMOV4Apage3
| |
| | |
| NiagaraMohawkPowerCorPoration NuclearEngineering Originator/Date
| |
| 'Dc,mrs''3 8~>s/S/l567NMP2Calculation Cont.SheetChecker/Date
| |
| ~,etrr1Page'flor>>7Ato.t-AD403, Rev.01Fpreslook2aa-(1cos(e)-sin(e))2whichgives,Fpros1001=4.63510Yq~~~4WPistonEffectForce,Pa~'.=0PPinonW~t:=SDn~(Phoner-Pet
| |
| )"ReversePistonEffect"Force,Frets~.'=[se~(2PhonnetupPdorm)j'etn(tt)
| |
| .ITotalForceReuiredtoOvercomePressureLockinwhichgive~,Fpistonwhichgives,Fy~328510Ftotall=Fproslook+Fpo+Fyurt-Fpiston0@00whichgives,F<<~=6.843527 10ACTUATORCAPABILITY:
| |
| ActuatorModelISize:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:
| |
| TQoutTHcap:=-SfTQout:=TQmRVOGR.AfEff=SB-OOS-15 TQm:=14.18OGR:=36.2Af:=0.9EQ':=0.45 RV:"-0.8538 TQout~151.549Sf:=0.018919THcap=8.0110ft-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMeripn:=THoep-(pn,~KEI)ThrustMargin=-7.411~10lbsConclusion:
| |
| OpenThrustMarginisnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PRHS4AA.MCD ValveID:2RHSMOV4Apage4 fp0 NiagaraMohawkPowerCorporation NuclearEngineering Orlglnalor/Date
| |
| ~z/vr>p~8~4/2'3/Y7NMP2Calculation Cont.SheetChecker/Date
| |
| ~z/z/rgPage/Zof/$7A10.1-AD4ta, Rev.01ValveIDno:2RHSMOV4BReuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS'esign BasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pp.=325ValveBonnetpressure(psig),Pbo~<<=9677Downstream pressure(psig),Pdo.=0ValveDiskGeometry:
| |
| hubradius,b:=2.25raveragediskthickness, t:=0.378e:=-''=o.o612180eishalfdisk angleameanseatradius,a:=3seatangle,a'.=7hublength,L:=0.125Poisson's Ratio,v:=0.3ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 OtherValveParameters:
| |
| ValveStemDiameter, Dst.=1.5ValveFactorVF:=0.5StaticUnseating Thrust,Fpo7324(reference:
| |
| Test¹5,6/16/96)(reference:
| |
| NER-2M-010)
| |
| .CALCULAnONS:
| |
| Coefficient offrictionbetweendiskandseat,it:=cope>I--~(e)VFp0.515(reference
| |
| ¹6)AverageDPAcrossDiskDPavgupdowngives,DPav<=9.515102Et3DiskSfNnesConstants, D:=andG:=n.(i-')2(1+v)whichgives,D1.45410andG1.131~10Iba.bbabGeometlyFactors, C2.'=-I--I+21n-C3'.=--+IIn-+--I4ab4aabaI2c8:=-1+v+2ab1+vaI-vb2C9---In-+-I--a2b4awhichgives,C20.028C8=0.847C3=0.002C9=0.198COMEDPLEvaluation PRHS4BA.MCD ValveID:2RHSMOV4Bpage1
| |
| ,)pf NiagaraMohawkPowerCorgoration NuctearEngineering Originator/Date
| |
| -~p-N.<~ier.abpNMP2Calculation Cont.SheetChecker/Date Pager/3of/3 7A10.1-AD003, Rev.01Additional GeometryFactors,rp'=b164242000]+4--5--4aaa2'02+-ln-a1L]74421-U00a1--1----I+(]+Y)ln-4aarpwhichgives,MomentFactors,Lll=1.45310andL]70.027Mrb'=-2DPavgaC8C9-a-rp-L]72abwhichgives,Mrb-3.11210andQb=8.325]0Deflection frompressureIbending, aaavga34yb'.=Mrb-C2+Qb'C3-L]1ooowhichgives,yb~0.003qDeflection frompressure/shear,2arprpK~:=-0.32]n--]+-~1-2]n-'ab2m'vgaysq'=whichgives,Ksa~%.04]andy'-8.28610sqDeflection frompressureIhubstretch,Pforcett(ab~)DPavgPforce'Lystretchttb2Ewhichgives,pforce]]77]pandystretch-].573]pCOMEDPLEvaluation PRHS4BA.MCD ValveID:2RHS'MOV4B page2 1
| |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date
| |
| .>oA.e~zQzz/syNMP2Calculation Cont.SheetChecker/Date
| |
| ~rWrZPeg~Af/j7A10.1-AD403.
| |
| Rev.01TotalDeflection duetopressure, Additional GeometryFactorsyq:=ybq~ysq+yst etchwhichgives,yq0004ro=aroL3.=-.4a22roaro+IIn-+--IaroaroL9--a2I+vaI-vro-In-+-I-2ro4awhichgives,L3=0andL9~0Deflection fromseatload/bending, w:=IawC2rDC9fpC3ybw:-L9--+L3whichgives, DC8bbybw-1.08810Deflection fromseatload/sheer, roroKsa:=-1.2
| |
| -In-abay:=Ksa-tGwhichgives,Ksa~<.345y~~-2.423 10Deflection fromseatload/hubcompression,
| |
| -2'll'aycompr'tbL2whichgives,ycomprTotalDeflection fromunitseatload,yw:=ybw+ysw+ycomprwhichgives,y=-1.33210Equilibrium contactloaddistribution, yqequiiibn~:
| |
| =-whichgives,ywLOadperSeata-2fta-5.11810yq4ywequilibrium PressureLockingForce,COMEDPLEvaluation PRHS4BA.MOD ValveID:2RHS'MOV4B page3 1
| |
| NiagaraMohawkPowirCorporation
| |
| 'uclearEngineering Originator/Date
| |
| '3cmrwagA'-~&/isls7NMP2Catculatlon Cont.SheetChecker/Date Pagett+of W7A10.1-AD403, Rev.01Fprslock'''(l')())gpfeloctuVq~4WPistonEtectForce,P~'.=0tt2/Fpistonetrtmt'=u'Dstem'(PbonnetPerm)whichgives,"ReversePistonEffect"Force,Fyett.'=rta2Pbonnetupgown.sin(0)1TotalForceReuiredtoOvercomePressureLockinwhichgives,Fy~328510rFtotal:=FprestoedpFpo+Fyett-Fpistoneffectwhichgives,F<<~=6.941827 10ACTUATORCAPABILITY:
| |
| ActuatorModelISize:MotorTorqueOutput:GearRatio:Application Factor.PulloutEfficienc:
| |
| ReducedVoltage:TorqueOutput:StemFactor.ThrustCap'ability:
| |
| TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=SB-OOS-15 TQm:=14.18OGR:=36.2Af:=0.9Eff:=0.45 RV:=0.8741 TQout~158.841Sf:=0.018919THcap~8.396'10ft-lbsft-1bsIbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMargin:=THcsp-(FmmtKEt)ThtustMargin=-7.491~101bsConclusion:
| |
| OpenThrustMarginisnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PRHS4BA.MCD ValveID:2RHSMOV4Bpage4 U
| |
| NiagaraMohawkPowerCorporation NuclearFngineering Originator/Date
| |
| .~.ZAc/zylspNMP2Calcuhtion Cont.SheetChecker/Date Pagefrcpf/3 7A10.1-AD403, Rev.01ValveIDno:2RHS'MOV4C ReuiredOeninForceDeternminationunderPressureiockin Conditions COMEDMethodDESIGNINPUTS'alve DiskGeometry:
| |
| hubradius,b:=2.25meanseatradius,a:=3seatangle,a'.=7averagediskthickness, t:=0.378e:=-''-0.06I21806ishalfdisk angleahublength,L:=0.125ValveDiskMaterialPropertie:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3OtherValveParameters:
| |
| DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pnp325ValveBonnetpressure(psig),Pbonn<<=9677Downstream pressure(psig),Pdown0ValveFactorVF'=0.5ValveStemDiameter, Dst~1.5>StaticUnseating Thrust,Fpo3798(reference:
| |
| Test¹21,Tlt8/g5)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coeftic/ent offrict/onbetweendiskandseat,lt.=coge)I--sin(6)VFIt=0.515(reference
| |
| ¹6)AverageDPAcrossDisk,DiskSNfnesConstants, gives,'P<<g=9.515~10G:=E2.(1+v)up~down<<g'bonnet Et'':='ndu(i-')whichgives,D=1.45410andG~I.I31~10Iba.bbabGeomet/yFactors,C2.'=-I--I+2In-C3'.=--+Ih-+--I4ab4.aabaIb2C8.=-1+v+(I-v)2ab1+va1-vb2C9'.=--In-+-I--a2b4awhichgives,C2=0.028C8=0.847C3~0.002C9=0.198COMEDPLEvaluation PRHS4CA.MCD ValveID:2RHS'MOV4C page1
| |
| | |
| NiagaraMohawkPowerCorporation Nuclearfngineering Originator/Date Ww~g~N.8~WiP/P'PNMP2Calculation Cont.SheetChecker/Date r/r7Pagegkfl~
| |
| 7A10.1-AD403, Relr.01Additional GeometryFactors,rp'.=b2422fpfp.fpfpLII=-I+4--5--4-2+-~In-64aaaarpIL17.--44I-Y00I--I-4aa2~I+(I+Y)In-arpwhichgives,LII=1.45310andMomentFactors,2DpavgaC9I22h(a-f0)-LI7C82abL17=0.027avg222bwhichgives,Mrb-3.11210andQb8.32510Deflection frompressureIbending, aaavga34yb.'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb~%.003qDeflection frompressureIshear,2arprpK~'=-0.321n--I+-~I-21n-bab2KsaDP'avgaysq'=whichgives,Ksa~%.041andy=-8.28610sqDefleiWon frompressureIhubstretch,Pforcett'(abjDPavgPforce'Lystrctch-ttb2Ewhichgives,Pfo~-1.17710'ndy~etch=1573'10COMEDPLEvaluation PRHS4CA.MCD ValveID:2RHSMOV4Cpage2
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| >Eg~
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| NiagaraMohawkPowerCorporation NuclearEngineering Onginatorloate wt"~Qgp$pNMP2Calculation Cont.SheetChecker/Date Psge4<ot/3>A10.1.AD403, Rev.01TotalDeflection duetopressure, yq'bq+ysq+ystretch Additional GeometryFactorswhichgives,ro.'=ay=%.004qroL3'=-4a22roaro+IIn-+--IaroaroL9'.=-ar)-ln-+-I-2ro4awhichgives,L30andDeflection fromseatload/bending, w:=IaswC2ro'Cgro'C3ybw.-L9--+L3whichgives,DC8bbybw-1.088'10 Deflection fromseatload/sheer, roroKsa:=-1.2-In-abaysw:=KsR-tGwhichgives,Ksa=%.345ysw=-2.42310Deflection fromseatload/hubcompression, L,-2tta2compr2'ttbwhichgives,~9ycomprTotalDeflection fromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw=-1.33210Equilibnum contactloaddistribution, wequilibrium
| |
| 'yqwhichgives,wequilibrium
| |
| =2.71510ywLoadperseat=2tta-5.11810yq4ywPressureLocMngForce,COMEDPLEvaluation PRHS4CA.MCD ValveID:2RHS'MOV4C page3
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| | |
| NiagaraMohawkPowerCorporation NuclearEngineering
| |
| /PD$lp7NMP2Calculation Cont.SheetChecker/Date Page+of/+fA10.1-AtM03.
| |
| Rev.OtYq~~-~4Fpres]ock.=2tta-(ltcos(t))-sin(0))2whichgives,Fpres]oc]=4.635]0YwPistonEffectForce,Pat:=0pistoneg'act'='tem'(honnetaun)"'o"tg"pistonstreet"ReversePistonEffect"Force,.I2Poets's'a'(g'Phennet PupPttosan)j'stn(g)
| |
| TotalForceReuiredtoOvercomePressureLockinwhichgives,Fycrt328510Ftpta]:=Fpres]ock+Fpp+Fycrt-Fpistoncffcctwhichgives,F<<~=6.589227 10ACTUATORCAPABILITY'ctuator ModelISIze:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor:ThrustCapability:
| |
| TQoutTHcap:=-SfTQout:=TQmRVOGR.AfEff=SB-OOS.15 TQm:=14.18OGR:=36.2Af:=0.9Eff:=0.45RV:=0.8727TQout~158.332Sf:=0.018919,THcap8.369~]0ft-1bsft-lbsIbs.NOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KE]:=1.20ThrustMargin:=THcap-(F>ogKE1)ThrustMargin=-7.07'10 1bsConclusion:
| |
| OpenThrustMarginlsnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingunderconditions evaluated.
| |
| COMEDPLEvaluation PRHS4CA.MCD ValveID:2RHS'MOV4C page4
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| | |
| NiagaraMohawkPrrrrerCorPoration NuclearEngineering Originatorloate gaw~'$r/a3/6NMP2Calculation Cont.SheetPagejabot/Q7A10.1-AD403, Rev.01ValveIDno:2SWPMOV17AReuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:ValveDiskGeometry:
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| hubradius,b:=4.94meanseatradius,a:=5.75averagediskthickness, t:=0.789seatangle,a,'=70:=--0-0.061att21800ishalfdisk angleahublength,L:=0.125ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v.--0.3Upstreampressure(psig),P>>.=123ValveBonnetpressure(psig),Pbonn<<=86Downstream pressure(psig),Pdown0OtherValveParameters:
| |
| ValveStemDiameter, D~.=2ValveFactorVF:=0.6StaticUnseating Thrust,Fpo6219(reference:
| |
| Test¹25,3ttM5)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offnctionbetweendiskandseat,tt:=cos(0)--sin(0)tt=0.622(reference
| |
| ¹6)AverageDPAcrossDisk,DiskStifl'nes Constants, gives,DPav245andG=E2(1+v)up+downDPavg.'=Pbonnet 2Et3u(i-')whichgives,D1.32210andG1.131~10GeometryFactors, C2.'=-1--1+2ln-C3.'=--+11n-+--11bC8.--1+v+(1-v)2abI+va1-vb2C9.---ln-+-1--a2b4awhichgives,C20.009C8~0.908C3=4.316'10 C9~0.124COMEDPLEvaluation PSWP17AA.MCD ValveID:2SWP'MOV17A page1
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| .~
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| NiagaraMohawkPowerCorporation NuctearEngineering Originator/Date Woevppw4Cwpcfg3/9)NMP2Calculation Cont.SheetChecker/Date z/z/H7Page5lofr3 arA10.1-AD403.
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| Rev.01Additional GeometryFactors,rp'.=bIll'4242fpfpfpI+4--5--4aaa2rpa2+-In-arpIL17'=-.442I-U00aI--I----~I+(I+Y)In-4aarpwhichgives,L11=1.545'10andMomentFactors,L17=0.009Mg:=-2DPavgaC9~-a-rp-L17C82abavg2bwhichgives,Mrb-8.73endQb=21.472Deflection frompressure%ending, 4aaavgayb'.=Mrb-C2+Qb-C3-.LIIDODwhichgives,yb~-1.041~10qDeflection frompressure/sheer, 2arprpK~:=-0.32In--I+-~I-2In-bab2I'vgaysq'=whichgives,Ksa%.013andy'sq=-1.13810Deflection frompressure/hub stretch,Pra~.--a(a-b)DPaa<Pforce'Lystretch'=ttb2Ewhichgives,Pfp~666.467andy~~-1.84810COMEDPLEvaluation PSWP17AA.MCD ValveID:2SWPMOV17Apage2 II NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date Z~~pS.e~~/islspNMP2Calculation Cont.SheetChecker/Date
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| ~/zr~Page5'Zof r%TA10.1-AtM03, Rev.OtTotalDeflection duetopressure, Additional GeometryFactorsyq'bq+ysq+ystretch whichgives,yq219710ro.'=aroL3'.=-4a22roaro+IIn-+--IaroaroL9--a2I+vaI-vro-ln-+-I-2ro4awhichgives,L3=0andL9=0Deflection fromseatload/bending, w:=IawC2ro'C9fo'C3ybw'=-----L9--+L3whichgives,DC8bbybI437'10"7Deflection fromseatloadlshear,roroKsa:=-1.2-ln-abay~:=Ksa-tGwhichgives,Ksa~%.182y=-1.17410Deflection fromseatload!hubcompression,
| |
| -2'lray'compf'ibL2whichgives,ycomprTotalDeflection f/omunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw~2621'10Equilibnum contactloaddistribution, yqwequilibrium
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| 'wwhichgives,Loadperseat~2tta-302.831yqywequilibrium PressureLockingForce,COMEDPLEvaluation PSWP17AA.MCD ValveID:2SWPMOV17Apage3
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| | |
| NiagaraMohawkPowerCorporation NuclearEngineering
| |
| ~sQflglnatof/Date
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| ,.A.~in/~ff/P 7NMP2Calculation Cont.SheetChecker/Date gtgrstg+Page5$of/37A10.1-ADO03, Rey.01YqFpreslook2sa-(pcos(8)-sin(8))2whichgives,Fpreslook338833/wPistonEffectForce,Pau:=02"pistoncffect'stem'(bonnetatm)""tp"'istoneffect"ReversePistonEh'ect"Force,Fv~',=rta2Pbonnetupdownsin(8)whichgives,Fert=310.711TotalForceReuiredtoOvercomePressureLockinsFtotal:=Fpreslook+Fpo+Fvert-Fptstoneffecwhichgives,F>ud~6.598367 10ACTUATORCAPABILITY:
| |
| ActuatorModel/Size:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:'temFactor:ThrustCapability:
| |
| TQoutIHcap:=-SfTQout:=TQmRVOGRAfEff=SMB-0-25TQm:=23.52OGR;=39.11Af:=0.9Eff:=0.4RV:=0.8785TQout=255.571Sf:=0.019627THcap~1.302'10tt-lbsft-lbs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMargin:=THcap-(FmmtKEI)ThrustMargin=5.103'101bsConclusion:
| |
| OpenThrustMarginlspositive, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PSWP17AA.MCD ValveID:2SWP'MOV17A page4 0
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| NiagaraMohawkPovverCorporation NuclearEngineertng NMP2Calculation Cont.SheetChecker/Date 7/Z/gpPage'574/97A10.1AD403.Rev.01ValveIDno:2SWPMOV17B IReuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:ValveDiskGeometry:
| |
| hubradius,b:=4.94rmeanseatradius,a'.=5.75averagediskthickness, t:=0.789seatangle,a:=7e:=-'"e=o.o612180.eishalfdiskangle uhublength,L:=0.125ValveDiskMaterfalProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P:=123ValveBonnetpressure(psig),Pbonnet'=86Downstream pressure(psig),Pdoggy0OtherValveParameters:
| |
| ValveStemDiameter, "D<<~.=2ValveFactorVF:=0.6StaticUnseating ThrustFpo5862(reference:
| |
| Test¹6,8/2M4)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| CoeNicient offrictionbetweendiskandseat,p.'=cos(e)I--sin(e)VFIt0.622(reference
| |
| ¹6)AverageDPAcrossDisk,DiskSNfnesConstants, Pup+Pdownavg'onnet2gives,DPav<24.53D:=andG:=i2.(1-')2(1+v)whichgives,D1.32210andG=1.131~10Iba.bbabGeometryFactors,C2'.=-I--~1+2.ln-C3.=--+IIn-+--I4ab4aabaIbC8.--I+v+(I-v)2aC9---In-+-I--whichgives,C20.009C8>0.908C3=4.316'10 C9=0.124COMEDPLEvaluation PSWP17BA.MCD ValveID:2SWPMOV17Bpage1 e
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| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date W~~crP-Q~~gybeNMP2Calculation Cont.SheetChecker/Date
| |
| ~7/i/F7A10.1AD403,Rev.01Additional GeometryFactors,rp=bI64242000I+4--5--4aaa2rpa2+-In-arpIL17442I-U00aI--I----I+(I+Y)In-4aarpwhichgives,LII=1.54510andMomentFactors,2avg'a9/2p-rpC82abL17=0.009DPavg~b=-(-Oj2bwhichgives,Mrb-8.73andQb21.472Deflection frompressure/bending, a2a3DPavg'ayb'.=Mrb-C2+Qb'C3-LIIDDDwhichgives,yb-1.04110Deflection frompressure/shear,2arprpK~:=-0.321n--I+-I-21n-babJysq:=.2m.DavgatGwhichgives,Ksa~%.013andy'-1.138'10 sq0Deflection frompressure/hub stretch,:='(a'-b')DP,,-Pforca.Lystretch.ttb2Ewhichgives,Pf0~0=666.467andysearch84810COMEDPLEvaluation PSWP17BA.MCD ValveID:2SWP'MOV17B page2
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| 'C NiagaraMohawkPowerCorgoration NuciearEngineering OriginatorlOate W~~~>4.C'mg+~skyNMP2Calcuhrtion Con!.SheetPage5cof/9 9A10.1-AD403, Rev.01TotalDeflection duetopressure, AddNonalGeometryFactorsyq:=ybq<<ysq+
| |
| ystretchwhichgivesryq219710r'.=aroL3--.4a2roa+IIn-+aro2r0-IaroL9=-ar2I+vaI-v0-In-+-I-2ro4awhichgives,L3=0andL9~0~Deflection fromseatload/bending, w:=I~.awC2roC9rpC3ybw',=L9'-+L3whichgives,DC8bbybI437'10Deflection fromseatloadlshear,roroKsa:=-1.2
| |
| -In-abay~:=Ksa'-tGwhichgives,Ksa=-0.182ysw=-1.174'10 Deflection fromseatload/hubcompression,
| |
| -2'ttaycompr'.bL2whichgives,yp-1.002'10 TotalDeflectio fromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw2621'10Equilibrium contactloaddistribution, yqequilibrium
| |
| 'hichgives,ywLoadperseat=2tta-=302.831yqywequilibrium PressureLockingForce,COMEDPLEvaluation PSWP17BA.MCD ValveID:2SWPMOV17Bpage3 e
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| NiagaraMohawkPowerCo/Poration NuclearEngineering Originator/Date Thorn.ep-.
| |
| At+/FlzglppNMP2Calculation Cont.SheetChecker/Date
| |
| ~rs-rrÃ7Page&ot/77A10.1-AD403.
| |
| Rev.01Fpresloclt2aa-(pcos(0)-sin(0))2whichgives,Fpresloci'338.833Vq/wPistonEffectForce,Pat:=0pistonstreet'=O'tem'<bonnetpatm)whichgives,Fistoneffect270.177"ReversePistonEffect"Force,Fvert"'a''PbonnetPupPdownTotalForceReuiredtoOvercomePressureLockinwhichgives,F~=310.711Ftotal:=Fprestock+Fpo+F1/ert-Fpistoneffectwhichgives,F<<<=6.241367 10ACTUATORCAPABlLITYt ActuatorModel/Size:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:TQout:=TQmRVOGR.AfEffStemFactor.TQoutThrustCapability:
| |
| THcap'.=Sftt-'bstt-lbs=SMB-0-25TQm:=23.52OGR:=39.11Af:=0.9Eff:-"0.4 RV:=0.8834TQout=258.43Sf:=0.019627 THcap=1.317'10lbsNOTE:RVlSSQUARE/FACTUATORlSAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMargin:=THeap-(FtongKBI)ThustMargin~5.677101bsConclusion:
| |
| OpenThrustMarginlspositive, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelocklngconditions evaluated.
| |
| COMEDPLEvaluation PSWP17BA.MCD ValveID:2SWP'MOV17B page4
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| NiagaraMohawkPowerCorporation NuciearEngineering Originator/Oate
| |
| 'uowpro/I~Q0(p3/vNMP2Calcutation Cont.SheetCheckedoate
| |
| ~e/z/r7Page5$br/%TAt0,1-AD403.
| |
| Rev.OtValvelDno:
| |
| 2SWPMOV18A Reuired0eninForceDefernmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:ValveDiskGeometry:
| |
| hubradius,b:=4.94meansestrsdius, a:=5.75averagediskthickness, t:=0.789seatangle,a.'=70:=--0=0.06121800ishstfdisksngle ahublength,L:=0.125Valve'isk MatertalProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pp.--108 ValveBonnetpressure(psig),Pbonnet=125Downstream pressure(psig),Pdo~.=0OtherValveParameters:
| |
| ValveStemDiameter, Dat~.--2ValveFactorVF:=0.6StaticUnseating ThrustFpo8635(reference:
| |
| Test¹8,3/17>95)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefticient offnctionbetweendiskandseat,~<0)--sm(0)IVFit=0.622(reference
| |
| ¹6)AverageDPAcrossDisk,DiskSfiffnesConstants, gives,DPav<~71andG:=E2(I+v)up+downDPavg'=Pbonnet"2Etiz(i-v')whichgives,D~1.32210andG~1.131~102GeometryFsctors, C2.'=-I--I+21n-C3.=--+IIn-IbC8'=-I+v+(I-v)-2abI+vaI-vbC9---In-+-I--a2b4awhichgives,C20.009C8=0.908C3~4.31610C9=0.124COMEDPLEvaluation PSWP18AA.MCD ValveID:2SWP'MOV18A page1
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| NiagaraMohawkPowerCorporation NuclearEngineering Orit/lnatorloate Wc~~pt,N.desycP~/pgNMP2Calculation Cont.SheetChecker/Date r/s/f7Peg<~ref/V 7A10.1&D003, Rw.01Additional GeomehyFactors,rp.'=b2422fprprprpL11.'=-1+4.--5--4-2+-~In-64aaaarp42rorpaL17.=-I--I----.1~(1+v)In-44aarpwhichgives,LII=1.54510andMomentFactors,L17~0.009Mg:=-2DPavgaC9--(a-ro)-LlqCS2abDPavgo:=-(-")2bwhichgives,Mrb=-25.298andQb~62.225Deflection fiompressure/bending, a2a3DPavgayb'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb3.016.10qDeflection fiompressure/shear, 2arprpK~:=-0.321n--I+-~1-21n-bab2avg'owhichgives,Ksa=%.013andy'-3.297'10 sqtDeflection frompressure/hubstretch,Pf.'=ll(a-b)DPvgPforceLystretchttb2Ewhichgives,Pf0~~1.93110andy~<h-5.35510COMEDPLEvaluation PSWP18AA.MCD ValveID:2SWPMOV18A'age 2
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| NiagaraMohawkPowerCorporation NuclearEngineering CSginatorlDate Q~~apy4e@ADk-/g3/pyNMP2Calculation Cont.SheetCheckerloate r/rr'6Pag~W7A10.1-AD403, Rev.OtTotalDeflection duetopressure, Additional GeometryFactorsyq'bq+ysq+ystretchwhichgives,yqH.36710ro:=aroL3--4a22roaro+IIn-+--IaroaroL9--a2I+vaI-vro-In-+-I--2ro4awhichgives,L30andL9=0,Deflection fromseatloadlbending, w.'=IaswC2roC9roC3ybw'-L9--+L3whichgives,DC8bbyb-I437'10Deflection fromseatloadlshear,roroKsa'.=-1.2-In-'bay~:=Ksa'Gwhichgives,Ksa~-0.182y<-I;17410Deflection fromseatload/hubcompression, L2'll'a2ycompr'Ettbwhichgives,ycomprTotalDeflection fromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw=-2.621~10Equilibrium contactloaddistnbution, weqtniib.tm,.=
| |
| -whichgives,yqwLoadperseat-"2tta-877.591yqywweqttitibritm
| |
| =24.291PressureLockingForce,,COMEDPLEvaluation PSWP'I8AA.MCDValveID2SWPMOV18Apage3
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| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originatorloate m--;-A+lsPg/~pNMP2Calculation Cont.SheetChecker/Date
| |
| /isr<<.Paged/of/7A10.1-AtHSS, Rev.01Fpresiocle:=2rta-"(ttcos(0)-sin(6))2whichgives,Fpresloci=981.925YqWPistonEffectForce,Pat:=0ft"pistonstreet,a'D stem'(phonnet peon)whichgives,Fpistoneffect"ReversePistonEffect"Force,Fvert'.=fta~2Pbonnetup-Pdo1tfnsin(e)TotalForceReuiredtoOvercomePressureLockinwhichgives, Fy~900428total'reslock+po+vertpistoneffectwhichgives, F<<~1.01246510'CTUATORCAPABILITY:
| |
| ActuatorModel/SIze:
| |
| MotorTorqueOutput:GearRatio:Application Factor.PulloutENciency:
| |
| ReducedVoltage:TorqueOutput:TQout:=TQmRVOGRAfEffStemFactor.ThrustCapability:,
| |
| THcap.'=-ToutSf=SMB-0-25TQm.'=23.21OGR:=39.11Af:=0.9Eff:=0.4RV'-=0.8789TQout=252.432,Sf:=0.019627 THcap=128610ft-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMargin:=THoap-(Fto%KEI)ThrustMargin711.881IbsslConclusion:
| |
| OpenThrustMarginlspositive, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPl.Evaluation PSWP18AA.MCD ValveID:2SWP'MOV18A page4
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| | |
| NiagaraMohawkPowerCorporatton NuclearEngineertng Originato/Date
| |
| ,-.w.e;-E~/~NMP2Calculation Cont.SheetChecker/Date gledf>/i/~7PapescutIPTA10.1-AD403, Rev.01ValveIDno:2SWP'MOV18B Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pp,=108ValveBonnetpressure(psig),Pbonnet.--125 Downstream pressure(psig),Pdown0ValveDiskGeometry:
| |
| hubradius,b:=4.94meanseatradius, a:=5.75averagediskthickness, t:=0.789hublength,L:=0.125seatangle,a:=71:=--"e0.061att2180ValveDiskMaterialProperties:
| |
| 0ishalfdisk'angle amodulusofelasticity, E:=29400000 OtherValveParameters:
| |
| ValveStemDiameter, D<~.--2ValveFactorVF:=0.6Poisson's Ratio,v.=0.3StaticUnseating Thrust,Fpo2129(reference:
| |
| Test¹11.SS96)(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,p:=cos(e)-'-s~(e)p0.622(reference
| |
| ¹6)AverageDPAcrossDisk,DiskSINnesConstants, gives,DP=71BedG:=-E2(1+v)up+downavg'onnet2Etn(1-')whichgives,D=1.32210andG=1.131~101ba.bbabGeometryFactors, C2.=-1--1+21n-C3'.=--+1ht-+--14,ab4aaba1b2C8=-1+v+(1-v)2ab1+va1-vb2C9---ln-+-1--a2b4awhichgives,C2=0.009C80.908C3=4.316'10 C9~0.124COMEDPLEvaluation PSWP18BA.MCD ValveID:2SWP'MOV18B page1 r7ifIII NiagaraMohawkPowerCorporation NuctearEngineering Originator/Date Q~~~o4-C~&2j/57NMP2Calculation Cont.SheetChecker/Oate
| |
| ~~/./~rPagw'o//37 A10.1-AD403, RW,01Additional Geometry'Factors, rp.'=bI64242rpfpfpI+4--5--4aaa2rpa2+-In-arpIL174421-Y'0aI--I----I+(I+Y)In-4aarpwhichgives,MomentFactors,L11=1.54510,andL17=0.009Mrb'DPavgaCgC9~a-rp-L172abQb'a-r0j2bwhichgives,M+--25.298 andQb-62.225 Deflect/on frompressure/t/ending, aaavga34yb.'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb=-3.01610qDeflection fiompressure/shear, 2arprpK~:=-0.32In--I+-I-2In-bab2sa'vgaysq'hichgives,Ksa~.013andy"~-3.29710ssqDeflection frompressure/hub stretch,Pftt(ab)DPgPforce'Lystretch'b2Ewhichgives,force'y~<<h-5355'10COMEDPLEvaluation PSWP18BA,MCD ValveID:2SWPMOV18Bpage2~i
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| NiagaraMohawkPowerCorporation NuctearEngineering Originator/Date R~pjuWP~~~fg+g7NMP2Calculation ContSheetChecker/Date
| |
| ~~/slurPager"trot
| |
| /77A10.1-AD403, Rev.01TotalDeflection duetopressure, Additional Geometry'Factors yq'bq+ysq+ystretch whichgives,yq=%.367.10 ro'.=aroL3'.=-4a22roaro1-1~In-+--IararoL9.=-ar2I+vaI-vo-In-+-I-2ro4awhichgives,'"L3~0and'L9~0Deflection fromseatload/bending, w:=IC2roC9.roC3ybw..=-----L9--+L3whichgives,DC8bbyb143710'rDeflection fromseatload/sheer, roroKsa:=-1.2
| |
| -In-aby.'=Ksa-whichgives,sw'GKsa~%.182y~-1.17410Deflection fromseatload/hubcompression,
| |
| -2ttaycompr'itbL2whichgives,ycompr~I'00210TotalDeflection fromunitseatload,yw:=ybw+ysw+ycompr whichgives,yw-2.621~10Equilibrium contactloaddistributr'on, weqmlibri~
| |
| 'hichgives,yqywLoadperseat=2tt.a-877.591yqywwequilibrium
| |
| =24.291PressureLocMngForce,COMEDPLEvaluation PSWP18BA.MCD ValveID:2SWP'MOV18B page3 f'
| |
| NiagaraMohawkPowerCorporaaon NuotearEngineering NMP2Catoulation Cont.SheetCheckerlDate
| |
| ~io.rrrWPageirSot/3
| |
| ~A10.1-AD403, Rev.01Flock:=2tta-(pcos(0)-sin(0))2whichgives,Fpreslock981925Yqpres1WPistonEffectForce,.Pau:=0"pistonstreet'=S'Dstem'(pbonnetpstm)whichgivessFlstonoff~e392.699"ReversePistonEffect"Force,Fvert'=rta2PbonnetupdownTotalForceReuiredtoOvercomePressureLockinwhichgives,F~=900.428Ftotal'preslock+Fpo+FveftFpistwhichgives,'<<~=3.618654 10'ACTUATORCAPABILITY:
| |
| ActuatorModel/Size:
| |
| MotorTorqueOutput:GearRatio:Application Factor.PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:
| |
| TQout:=TgRVOGRAfarTQoutTHcap.'=-Sf=SMB-0-25TQm:=23.52OGR:=39.11Af:=0.9Eff:=0.4RV:=0.8852 TQout=259.484St:=0.019627THcap~1.32210ft-Ibstt-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMsrtpn:=THeep-(FmmtKEI)ThrustMargin~8.878'10lbsIConclusion:
| |
| OpenThrustMarginispositive, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PSWP18BA.MCD ValveID:2SWP'MOV1 8Bpage4 0
| |
| NiagaraMohawkPowerCorporation NuctearEngineering Originator/Date Q~/~3bpNMP2Calcutation Cont.SheetChecker/Date
| |
| ~vrzjt7PageC4or~7A10.1.AD403, RW.01ValveIDno:2SWP'MOV2tA Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:ValveDiskGeometry:
| |
| hubradius,b:=0.875meanseatradius,a.=1.47averagediskthickness, t:=0.54.attseatangle,a.=10e:=--e=0.08721800ishalfdisk angleuhublength,L:=0.25ValveDIskMaterfaiProperties:
| |
| modulusofelasticity, E;=29400000 Poisson's Ratio,v.=0.3OtherValveParameters:
| |
| DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pnp108ValveBonnetpressure(psig),Pbonnet.=2314Downstream pressure(psig),Pd~.=0ValveFactorVF:=IValveStemDiameter, D<.=1.125StaticUnseating Thrust,Fo:=1890(reference:
| |
| Test¹7,3/30/93)(reference.'ER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,cope)-'-s~(e)It=1.091(reference
| |
| ¹6)AverageDPAcrossDisk,DiskSNfnesConstants, up+down3avgbonnet2gives,DPavg22610D:=andG:=EtEiz(i-')2(I+v)whichgives,D~4.23910andG~1.131~10IbaaGeometryFactors, C2.=-I--I+21n-C3'.=--+IIn-+--I4ab4aabaIb2C8'.=-1+v+(I-v)2aC9.=--In-+-I-whichgives,C2=0.07C80774C3=0.008C9~0.268COMEDPLEvaluation PSWP21AA.MCD ValveID:2SWPMOV21Apage1
| |
| | |
| NiagaraMohawkPowerCorPoration NuctearEngineering Originator/Date so~.oy~4Q~PZ)$gNMP2Catcutation Cont.SheetChecker/Date PageC'Pot/77A10.1-AD403, Rw.01Additional GeometryFactors,rp.'=bI642422rprprpfp1+4--5--4-2+-~In-aaaarpIL17442rprpaI--I----I+(I+v)In-4aarpwhichgives,L11=9.14910andMomentFactors,2DpavgC9M~'=---(a-ro)-LrrC82abL17~0.063~b:=-'"'(*-0')2bwh/chg/ves,Mrb=-516.898 andQb1.80210'eflection f/QmpressureIbending, 2yb.=Mrb-C2+Qb-C3-.L11ODDwhichgives,y~%.15810bqDeflection frompressureIshear,2rprpK~:=-0.32In--I+-~I-2In-bab2saavgatGwhichgives,Ksa=%.118a/ldy'sq=%.403'10Deflection frompressure/hubstretch,P,:=a(a'-b')DP,,Pforce'Lystretchttb2Ewhichgives,Pforce990618andystretch=-1.751.10COMEDPLEvaluation PSWP21AA.MCD ValveID:2SWP'MOV21A page2
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering 4Originator/Date Rowi>pc,A.Q~QZy/ppNMP2Calculation Cont.SheetChecker/Date
| |
| ~/i/~rPagerr1/o/~7>A10.1.AMX},
| |
| Rw.01TotalDeflection duetopressure, yq'bq~ysq+y.trctchwhichgives,y=-2.031~10Additional GeometryFactorsro:=aroL3'=-4a22roaro+11n-+--1aroaroL9.=-a21+va1-vro-1n-+-1-2ro4awhichgives,L3=0IIandL9=0Detlection fromseatload/bending, w:=1~awC2roC9roC3ybw.-L9--+L3whichgives,DC8bbybw64'Deflection fromseatload/shear, roroKsa:=-1.2-1n-aby:=Ksa-whichgives,KsaW.623sw'~~-1:499'10 Deflection fromseatload/hubcompression,
| |
| -2ttaycompr'bL2whichgives,y~-1.63310TotalDeflection fromunitseatload,yw:=ybw+yswaycomprwhichgives,yw3.62610Equilibrium contactloaddistribution, w~b-~.=-whichgives,yqywLoadperseatr2tta-5.17510yqywwcquiTibrium 5%'241PressureLockingForce,COMEDPLEvaluation PSWP21AAMGD ValveID:2SWP'MOV21A page3
| |
| | |
| NiagaraMohawkPowerCorporation NuctearEngineering Originator/Date
| |
| ,>;A'.aPdislp~NMP2Catcutation Cont.SheetChecker/Date Pio.ridPage//ofI$1A10.1-AD403.
| |
| Rev.01Yq4Fpres]ocp2fta-"(pcos(0)-sin(0))2whichgives,Fpresloc'k=1.03510WPistonEffectForce,Pat:=0ft"pistonetr(mt'stem'ibonnetpetm)whichgivesrFpistoncff~t"ReversePistonEffect"Force,v~:="Pbonnct-up-so~'m<<)TotalForceReuiredtoOvercomePressureLockinwhichgives,Fcrt=2.67410Ftotal.'=Fprcs lock+Fpo+'FvertFpistoncffcctwhichgives,'<<~=1.261328 10ACTUATORCAPABILITY:
| |
| ActuatorMode!ISize:MotorTorqueOutput:GearRatio:Application Factor.PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:TQout:=TQmRVOGRAfEffStemFactor..TQutThrustCapability:
| |
| fHcap:=-ToutSf=SMB-000-5 TQm.'=4.76OGR:=52Af:=0.9Eff:=0.4RV:=0.8623TQout~66.257Sf:=0.014500THcap~4.56910ft-1bsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20'ibrnstMer(pn:=THeep-(FmmrKH1)
| |
| ThrustMargin~-1.057101bsConclusion:
| |
| OpenThrustMarginIsnegative, therefore thisvalveandactuatorareunlikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PSWP21AA.MCD ValveID:2SWP'MOV21A page4
| |
| | |
| NIagaraMohawkPowerCorPoration NuctearEngineering Originator/Date
| |
| ~enie3wA.ge'/e3legNMP2Calcutation ContSheetChecker/Date ekePage7uor/97A10.1-AD403, RW.01ValveIDno:2SWPMOV21BReuired0eninForceDefernminafion underPressureLockinConditions COMEDMethodDESIGNINPUTS:ValveDiskGeometry:
| |
| hubradius,b:=0.875meanseatradius,a:=1.47averagediskthickness, t:=0.54seatangle,a.=100:=--00.087att21800ishalfdiskangle ahublength,L:=0.25ValveDiskMaterialProperties modulusofelasticity, E:=29400000Poisson's Ratio,v:=0.3OtherValveParameters:
| |
| DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P:=108ValveBonnetpressure(psig),Pbo<<.=2314Downstream pressure(psig),Pdo~0ValveFactorVF:=1ValveStemDiameter, D<~.=1.125 StaticUnseating Thrust,Fpo1245(reference:
| |
| Test¹12,1295)(reference:
| |
| NER-2M-010)
| |
| CALCULA77ONS:
| |
| Coefficient offrictionbetweendiskandseat,cos(0)-sin(0)it=1.091(reference
| |
| ¹6)AverageDPAcrossDisk,DiskSNI'nesConstants, gives,DPa2.2610EG:=-2(1+v)P~+Pdo~Davg"bonnet2Et3D:=endwhichgives,D4.23910andG=1.131~101babb2ab2GeometryFactors, C2.=-1--1+21n-C3.=--+1ln-+--14ab4aaba1b2C8'=-1+v+(1-,v)-2ab1+va1-vb2C9.'=--ln-+-.1--a2b4awhichgives,C2=0.07C8~0.774C3~0.008C9=0.268COMEDPLEvaluation PSWP21BA.MCD ValveID:2SWP'MOV21 Bpage1
| |
| | |
| NiagaraMohawkPowerCorPoration NuclearEngineering originator/Date NMP2Calculation Cont.SheetChecker/Date Pagey/of/37At0.t-AD403, Rev.01Additional GeometryFactors,rp'.=b164242rprprp1+4--5--4aaa2rpa2+-ln-arp1L174421-Y00aI--1----I+(1+Y)ift-4aarpwhichgives,MomentFactors,2DPaygaC&L11=9.14910and9~a-rp-L172abL17~0.063ob:=-'"'('-0')2bwhichgives,Mrb-516.898andQb~1.802'lpWDeflection frompressure&ending, aDPaygayb'Žrb'2+Qb'3'looowhichgives,y~%.15&10bqDeflection frompressure/shear,2'rp'pK~:=-0.321n--1+-~1-21n-abI2s'a'vgaysq'=whichgives,Ksa~.l1&andy'.40310sqDeflection frompressure/hub stretch,Pforcett(ab)DPaygPforceLystretch'=itb2Ewhichgives,Pf0~=9.906.10 andy~~-1.751~10COMEDPLEvaluation PS.WP21BA.MCD ValveID:2SWP'MOV218 page2 0
| |
| NiagaraMohawkPowerCorgoration NuotearEngineering Originator/Date
| |
| >c~p-8'~Wzp/ppNMP2Catcutation Cont.SheetCheckerloate Page72bi/77A10.1-AD403, Rev.01TotalDeflection duetopressure, Additional Geometry'actors yq'=ybq+ysq+ystretch whichgives,yq203110ro.'=aroL3'=-4a22roaro+IIn-+--IaroaroL9"=-a2I+vaI-vro-ln-+-I-2ro4awhichgives,L3~0andL9~0Deflection fromseatload/bending, w:=I~.a3wC2roC9roC3ybw.-L9--+L3whichgives,DC8bbyb=-1.964107Deflection fromseatload/shear, roroKsa:=-1.2-In-aby:=Ksa-whichgives,sw'sa~W.623ysw~-1.49910Deflection fromseatload/hubcompression,
| |
| -2'1t'aycompr'tbL2whichgives,y~-1.63310TotalDeflection fromunitseatload,yw:=ybw+'yswaycomprwhichgives,yw~-3.626'10 Equilibnum contactloaddistribution, equilibrium
| |
| 'whichgives,yqywLoadperseat=2tta-~5.17510yqywwequilibrium 560'241PressureLockingForce,COMEDPLEvaluation PSWP21BA.MCD ValveID:2SWP'MOV21 Bpage3 I
| |
| NiagaraMohawkPowerCorporation NuotearEnt/ineeriny Onglnatof/Date wowropA'/r(gSrp7NMP2Catoutatton Cont.SheetChecker/Date
| |
| ~rertr+pPa//el&o/I>>A10.1-AD403, Rev.01Fpresloca'=2tta-(Pcos(e)-sin(e))2Jtl>wwhichgives,F,1~1,1.03510PistonEffectForce,Pat:=0Ppistonetreet'='tern'(PttonnetPann)whichgives,Ppistonstreetpton4"ReversePistonEffect"Force,vert''onnetupdownTotalForceReuiredtoOvercomePressureLockinwhichgives,F~2.67410Ftotai:=Fpresloca+Fpo+Fvert-Fpistoneffectwhichgives,F<<nd=1.196828 10'CTUATORCAPABILITY:
| |
| ActuatorModel/Size:
| |
| MotorTorqueOutput:GearRatio:Application Factor.PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor:ThrustCapability:
| |
| TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=SMB-000.5 TQm;=4.76 OGR:=52Af:=0.9Eff:=0.4RV:=0.8591TQout=65.766Sf:=0.014500THcap=4.5361(Pft-1bsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:"-1.20ThntatMargin:=THcap-(FtongKEi)ThrustMargin~%.826'10 1bsConclusion:
| |
| OpenThrustMarginIsnegative, therefore thisvalveandactuatorareunlikelytooVercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PSWP21BA.MCD ValveID:2SWPMOV21Bpage4
| |
| | |
| NiagaraMohawkPowerCorporatke NuciearEnginoerinp Orlglnatof/Data Qonvrp>Atots/splngNMP2Calcukrtion Cont.SheetCheckerlDate
| |
| .~re/r7Page7rtor/
| |
| ppA10.1-AD403, Rev.01ValveIDno:2SWPMOV66AReuiredOeninForceDeternminationunderPressureLockin Conditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:IUpstreampressure(psig),F:=108ValveBonnetpressure(psig),Pb<=108IDownstream pressure(psig),Fgo~0ValveDiskGeometry:
| |
| hubradius,b:=3.375hublength,L:=0.125meanseatradius,a:=3.91averagediskthickness, t:=0.48seatangle,a:=10e:=--e0.087att2180ValveDiskMaterialProperties:
| |
| 'odulusofelasticity, E:=29400000OtherValveParameters:
| |
| Poisson's Ratio,v.'=0.3eishalfdisk'angle aValveFactorVF:=0.65ValveStemDiameter, D~.=1.625StaticUnseating ThrustFpo9232(reference:
| |
| Test¹25,10/5/94)(reference:
| |
| NER-2M-010)
| |
| CALCULA77ONS:
| |
| Coel'cient offnctionbetweendiskandseat,It:=I--am(e)VFIt=0.686(reference
| |
| ¹6)gives,DPavg54Fup+FdeAverageDPAcrossDisk,DPavg'DiskEtttthssConstsnts, D:=sndG:=EtEtk(t-s')2(tsv)whichgives,D2.977'10andG=1.131~10GeometryFactors,C2.'=-I--I<<2In-Iba4abIbC8.'=-I+v+(I-v)-2aC3.---+IIn-+--IC9---In-+-I--whichgives,C20.009C8~0.911COMEDPiEvaluation PSWP66AA.MCD C3=3.965'10 C9=0.121(o+ValveID:2SWP'MOVS48 page1
| |
| | |
| NiaparaMohawkPowerCorporation NuclearEnpineerinp Oripinator/Oate Q~~~A'.g~WiplppNMP2Calculation Cont.SheetCheckerloate Pape75ot/77A10.1AO403.Rw.OtAddih'onel GeometryFactors,rp.'=b2422fpfpfpfpLII=-I+4--5--4-~2+-In-64aaaarpIL17442I-U00aI--I----~I+(I+v)ln-4aarpwhichgives,LII=1.37810andMomentFactors,2avg9/2Mg:=-'o)C82abL17=0.009'"'a'-ra'j2bwhichgives,Mrb-8.373andQb-3118Deflection frompressurelbending, aaavga34yb.'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb-1.93710tIDeflection fmmpressure/sheer, 2arprpK~:=-0.32In--I+-~I-2In-bab2KsaDPav'g'asq'Gwhichgives,Ksa~%.012endy'1.79610sqDeflection frompressure/hub stretch,Pf'.=ll(a-b)DPvg-PforceLystretch'=rtb2Ewhichgives,Pf0~661.191IIandy~tch-3.92810COMEDPLEvaluation PSWP66AA.MCD ValveID:2SWP'MOV66A page2
| |
| | |
| NiagaraMohawkPowerCotporatton NuotearEnttineertntt Orfttlnatorioate
| |
| >~~~>A'.g~c/gy+)NMP2Catoulation Cont.SheetCheckerloate 7/i/~yA10.1AD403,Rw.01TotalDeflection duetopressure, Additional GeometryFactorsyq'bq+ysq+ystretch whichgives,yq~-3.77I'10 r0.'=aroL3.'=-.4a22roar0+Iln-+--Iaroar0L9.=-a21+vaI-v0-In-+-I-2ro4awhichgives,L3=0andL9=0Deflection fromseatload/bending, w:=Ia.wC2roC9roC3ybw.=L9--+L3whichgives,DC8bbybw183510Deflection fromseatload/shear, roroKsa:=-1.2
| |
| -ln-abay:=Ksa-tGwhichgives,Ksa=-0.177y=-I27210Deflecflon fromseatload/hubcompression,
| |
| -2tt'acompr'tbL2whichgives,y-1.45910TotalDeflection fromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw3122'10Equilibrium contactloaddistribution, yqwe~bn~.=-whichgives,wLoadperseat=2aa-296.797yqywequilibrium 12'081PressureLDCMngForce,COMEDPLEvaluallon PSWP66AA.MCD ValveID:2SWPMOV66Apag83 0
| |
| NiagaraMohawkPowerCorporation NuciearEngineeiing Originator/Date a~"p"4.~4/go/prNMP2Ceioiglation Cont.SheetChecker/Date
| |
| ~rsr.rr/PageTfo/I+'7A10.1-AD403.
| |
| Rev.01Fpresleak'tta-"(p;cos(e)-
| |
| sin(e))2whichgives,Fpreslook=354.165YqVrrPistonEffectForce,Pau'=02/Fpistonstreet''Dstem'(pbonnetpatm)whichgives,Fpistoneff~t=223.986"ReversePistonEffect"Force,F<<.'=ita2PbonnetupgownTotalForceReuiredtoOvercomePressureLockinwhichgives,Fv<<=452.0SSFtotal:=Fpreslook+Fpo+Fv<<-Fpistonwhichgives,F+~=9.814267'10 ACTUATORCAPABILITY:
| |
| ActuatorMode)/Size:
| |
| MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor:ThrustCapability:
| |
| TQoutTHcap"=-SfTQout:=TQIRVOGRAfEff=SMB-00-15 TQrn:=14.74OGR:=34.1Af:=0.9Eff:=0.4RV:=0.8838TQout=141.339Sf:=0.016407THeap=8.615'10ft-lbsft-lbsIbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20ThroatMargin:=THoap-(Fm~Kgi)nThrustMargin-3.163'10 lbsConclusion:
| |
| OpenThrustMarginlsnegative, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| 4COMEDPLEvaluation PSWP66AA.MCD ValveID:2SWP'MOV66A page4 ll NiagaraMohawkPowerCorporation NucteafEngineering Oflglnatof/Date A0$gcfsEi)7HMP2Calculation ContSheetChecker/Gate
| |
| ~/<CPage7+1/37A10.1.AD403, Rev.01ValveIDno:2SWP'MOV66B Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P>>.=108ValveBonnetpressure(psig),Pbo~ct-108Downstream pressure(psig),P~o~.=0ValveDiskGeometry:
| |
| hubradius,b:=3.375hublength,L:=0.125meanseatradius,a'.=3.91averagediskthickness, t:=0.48seatangle,a:=106:=--60.087att2180ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 OtherValveParameters:
| |
| Poisson's Ratio,v.=0.36ishalfdisk'angle uValveStemDiameter, D<~.=1.625StaticUnseating ThrustFpo7027(reference:
| |
| Test¹16,3N/94)ValveFactorVF:=0.65(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,It:=cos(6)I--sitt(6)VFp0.686(reference
| |
| ¹6)Pup+Pdo~A~erageDPAcrossDisk,DPayg:Pboggct-gives,DP=542DiskSNnvesCenslsnls, D:=sndG:=EtE12(!-v)2(!vv)whichgives,D2.97710andG=1.131'10Iba.bbabGeometryFactors,C2.=-I--I+2ln-C'3'.=--+Ih-+--I4ab4aa'aIbC8.'=-I+v+(I-v)2ab1+vaI-vb2C9=--In-+-I--a2b4awhichgives,C20.009C8~0.911C3=3.965'10 C9~0.121COMEDPLEvaluation PSWP66BA.MCD ValveID:2SWPeMOVSICB page1 I,
| |
| NiagaraMohawkPowerCorgoration NuctearEngineering Originator/Date
| |
| ~~oPoW<~~M&7NMP2Catcutation Cont.SheetChecker/Date
| |
| ~/z/yyPage7?of/77A10.1AD403,Rw.01Add/t/onel GeometryFactors,rp.'=b2422fpfpfpfpL11'=-1+4--5--4-2+-In-64aaaarp42II-Y00aL17'.=-I--1----~I+(I+Y)In-44aarpwhichgives,LII=1.37810andMomentFactors,L17=0.009Mg:=-2OPavg'aC9~-a-rp-L17C82ab~b:=-'"'(*-o*j,2bwhichgives,Mrb=-8.373endQb~31.18Deflection frompressureibending, aaavga34yb'.=Mrb-C2+Qb-C3-L11ooowhichgives,yb~1.937.10qDeflection frompressureIshear,2arprpK~:=-0.32In--I+-~1-2In-bab2sa'vgaSq'Gwhichgives,Ksa=%.012endy-1.796'10 SqDeflection frompressure/hub stretch,Pro~.'=m(a-b)DP~<-PronxL>'uetch:=ttb2Ewhichgives,Pfo~=661.191endy~th=-3.928108fCOMEDPLEvaluaIIon PSWP66BA.MCD ValveID:2SWPMOV66Bpage2 I
| |
| NiagaraMohawkPowerCorgoration NudearEngineering Originator/Date
| |
| %~ryan~Ai4&4'fdkpjNMP2Calcuiation Cont.SheetChecker/Date
| |
| ~p/z/rzPagetourt/37A10.1-AD403, Rw.01TotalDeflection duetopressure, yqybq+ysq+ystretchwhichgives,y=-3.771~10Additional GeometryFactorsro.'=aroL3.'=-.4a22roaro+IIn-+--IaroaroL9'.=-ar21+vaI-vo-~In-+-I--2ro4awhichgives,L3~0andL9~0Deflection fromseatload/bending, w:=1awC2roC9roC3ybw'9--+L3DC8bbwhichgives,ybw=-1.83510Deflection fromseatload/shear, roKsa.'=-1.2-In-aby:=Ksa-whichgives,Ksa%.177tGy~~-I:272 10Deflection fromseatload/hubcompression,
| |
| -2"tt.aycompr'bL2whichgives,y-1.45910TotalDetlection fromunitseatloa'd,yw'bw+ysw+ycompr whichgives,yw312210Equilibrium contactloaddistribution, we,l;b~.-
| |
| -whichgives,ywLoadperseatr-2tta-296.797yqywequilibrium PressureLockingForce,COMEDPLEvaluation PSWP66BA.MCD ValveID:2SWP'MOV668 page3
| |
| | |
| NiagaraMohawkPowerCorporation NuotearEngineering Onglnstor/Date
| |
| ~~nyuP-<5/g/as/P7 NMP2CaCulati'on Cont.SheetChecker/Date 7Pagej/ot/W7Atp.t-AD403, Rev.01Fpresloci'.'=2tta-(itcos(e)-sin(e))2whichgives,presleakWtPistonEffectForce,Pau:=0"pistonstreet''tem
| |
| 'ihonestann}whichgives,Fpistoneffect"ReversePistonEIfect"Force,Fyert'=a'2'PbonnetPupdownTotalForceReuiredtoOvercomePressureLockinwhichgives,Fy~=452.088Ftptait=Fpres]pck1Fpp+FyertFpistpneffectwhichgives,Ftp<760926710ACTUATORCAPABILITY'ctuator ModelISize:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:
| |
| TQoutTHcap:=-SfTQout:=TQmRV.OGRAfEff=SMB-00-15 TQm.'=14.74OGR:=34.1Af:=0.9Eff:=0.4RV:-"0.8847TQout=141.627Sf:=0.016407THcap=8.63210tt-lbstt-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:
| |
| KEI:=1.20ThrustMargin:=THoap-(FmmtKEI)ThrustMargin-499.0051bsConclusion:
| |
| OpenThrustMarginisnegative, therefore thisvalveandactuatorareliketytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| ra/d4clcvat 4JY/cl'payee j4vdrymrrvelvlcr gtptgsl1'AdNCisa/rrglkcgpn/icPt~r.p pggpthese'rpr lreertrresureroskio1 Seeeranro COMEDPLEvaluation PSWP66BA.MCD ValveID:2SWP'MOV66B page4
| |
| | |
| NiagaraMohawkPowerCorporation N)tctearEngtneerfng Orfgtnatorloate g~~A~Q-tt>>/svNMP2calo)station Cont.SheetChecker/Date
| |
| .Page~/3$A10.1-AD403, Rw.01ValveIDno:2SWP'MOV67A Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pup108ValveBonnetpressure(psig),Pbonnet=108Downstream pressure(pslg),Pdown0ValveDiskGeometry:
| |
| hubradius,b:=1.25hublength,L:=0.25meanseatradius,a:=1.88averagediskthickness, t:=0.626urtseatangle,a=10e;=--e=0.0872180ValveDiskMaterialProperties modulusofelasticity, E:=29400000 OtherValveParameters:
| |
| Poisson's Ratio,v:=0.3eishalfdisKangleaValveFactorVF:=1ValveStemDiameter, Dst..=1.375StaticUnseating Thrust,F>>.=2534(reference:
| |
| Tesr¹10.1M')(reference:
| |
| NER-2M-010)
| |
| CALCULATIONS:
| |
| CoeNicient offrictionbetweendiskandseat,it.=cos(0)-sin(e)lt1.091(reference
| |
| ¹6)up~downAverageDPAcrossDisk,':=Pbgives,DP542DiskSt)I)asConstantsD:=
| |
| ,andG:=-EtE,)s.()-s')
| |
| 2(1+v)whichgives,D6.60510andG=1.131~101babbabGeomet/yFactors, C2.=-1--1+2ln-C3=--+1h-+--14ab4aaba'b2b1+va1-vb2C8:=-1v+C9,---ln-+-~1-2aa2b4awhichgives,C20.049C8=0.805COMEDPLEvaluation PSWP67AA.MCD C3~0.005C9=0.241@7'alveID:2SWPMOVQ48page1
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date Q~rwpoAiQrc44-4rjQ3/pQNMP2Calculation Cont.SheetChecker/Date
| |
| ~/4ePag~biyPAto.t-AD403, Rev.01Add/tional GeometryFactors,rp'=bI64242rprprp1+4.--5--4aaa2rpa2+-1n-arp1L174421-vrpro1--1----~1+(1+4aav)ln-arpwhichgives,MomentFactors,L114.481.10andL17<0.046Mg:=-2avgaC8a-rp-L172&bwhichgives,Mrb-13.186andQb=42.593Deflection fmmpressure/bend/ng, 4&aavg'b'.=Mrb-C2+Qb-C3-L11DDDwhichgives,yb~-1.752'10 Deflection frompressure/shear,2arprpK~:=-0.32.1n--1+-~1-2ln-bab2sa'vgat.Gwhichgives,Ksa=%.078andy.=-2.0910sqDeflection frompressu/8/hub stretch,Pfpreett(ab)DPavgPforceLystretch'=ttb2Ewhichgives,Pfo~334.525andy~~=-2.897'10 COMEDPLEvaluation PSWP67AA.MCD ValveID:2SWP'MOV67A page2 I
| |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date Qc~r.))~4.C'~/g)(p-gNMP2Calculation Cont.SheetCheckerlDate PagePfotr37A10.1-AD403, Rev.01TotalDeflectr'on duetopressure, yq'bq+ysq+ystretchwhichgives,y-4.131~10Additional GeometryFactorsro'.=aroL3'=-4a22roaro+IIn-+--IaroaroL9--ar21+vaI-vo-In-+-I-2ro4awhichgives,L3~0endL9=0Deflection fromseatload/bending, w:=IawC2roC9roC3ybw'-L9--+L3whichgives,DC8bbybwDeflection fromseatload!shear,roroKsa:=-1.2
| |
| -In-aby~:=Ksa-whichgives,atGKsa~W.49ysw~-1.301~IODeflection fmmseatload/hubcompression,
| |
| .-2ttacompr'tbL2Ewhichgives,ycomprTotalDeflection fromunitseatload,whichgives,yw~2'868'10yw'=ybw+ysw+ycomprEquilibrium contactloaddistribution, yqwequilibrium
| |
| 'wLoadperseatra2tta-170.165yqywwhichgives,equilibrium PressureLockingForce,COMEDPLEvaluation PSWP67AA.MCD ValveID:2SNIP'MOV67A page3
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originatorlnate A.+/b/nslPPNMP2Catcutation Cont.SheetChecker/bate Pagano//7/}At0.1.AO403.
| |
| Rev.OtFpresJock''tt'a'(tt'cos(e)
| |
| -sin(e))2Yq1'wPistonEffectForce,Pat:=02/pistoneffect''tem'(bonnetetm}whichgives,Fp~s1~k=0.3Iwhichgives,Fpistoneffect'160.368"ReversePistonEffect"Force,Fvert'=rta~2Pbonnetupdownsin(e)whichgives,TotalForceReuiredtoOvercomePressureLockinFv~=104.517Ftotat:=Fprestock+Fpo+Fvert-Fpistoneffectwhichgives,F>~=2.818478 10'CTUATORCAPABILITY:
| |
| ActuatorModel/Size:
| |
| MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:
| |
| TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=SMB-000-5 TQm'=5OGR:=40Af:=0.9Eff:=0.4RV:=0.8816TQout55.96Sf':=0.014263THcap~3.92310ft-lbsft-Ibs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KEI:=1.20nMtp.:=nrpyt.~ffffi}
| |
| ThrustMargin=541.246IbsConclusion:
| |
| OpenThrustMarginispositive, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PSWP67AA.MCD ValveID:2SWP'MOV67A page4 0
| |
| NiagaraMohawkPowerCorporation NudearEngineering Originator/Date
| |
| >~i.peAQ4,/tr/~7NMP2Calcutation Cont.SheetChecker/Date 7/</87peg+Carr3'A10.1-AD403.
| |
| Rw.01ValveIDno:2SWPMOV67BReuiredoeninForceDeternminationunderPressureLockin Conditions COMEDMethodDESIGNINPUTS'esign BasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P>>.=108ValveBonnetpressure(psig),Pbonnet=108Downstream pressure(psig),Pdown0ValveDiskGeometry:
| |
| hubradius,b:=1.25hublength,L:=0.25meanseatradius,a:=1.88averagediskthickness, t:=0.626attseatangle,a:=10e:=--e=0.0872180ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000OtherValveParameters:
| |
| Poisson's Ratio,v.--0.30ishalfdiskangle uValveStemDiameter, D<.=1.375StaticUnseating Thrust,F>>.=3092(reference:
| |
| Test¹12,10/1M4)ValveFactorVF:=I(reference:
| |
| NER-2M-Of 0)CALCULA77ONS:
| |
| Coeflicient offrictionbetweendiskandseat,p:=coge)-'-s~(e)'lt1.091(reference
| |
| ¹6)AverageDPAcmssDisk,DiskStN'nesConstants, gives,DP=54andG:=E2(I+v)up1downDPavg'bonnet2Et3i2(l-')whichgives,D6.60510andG=1.131~10I'bb2abiGeometryFactors,C2'=-I--~I+2ln-C3.=--+IIn-+--I4ab4aabaIbc8:=-1+v+2ab2C9---In-+-I--whichgives,C20.049C8~0.805COMEDPLEvaluation PSWP67BA.MCD C3~0.005C9=0.241ValveID:2SWP'MOVQ&
| |
| page1
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date Qo~np~A'-4~~ip/ppNMP2Calcutatton Cont.SheetChecker/Date elitismPage~fr+7A10.1-AD%03, Rev.01AddtI'onal GeomehyFactors,rp.'=b2422rprprprpLII:=-I+4--5--4-~2+-~In-64aaaarpIL17442I-vroroaI--I----~I+(I+v)In-4aarpwhichgives,L11=4.481
| |
| ~10andMomentFactors,2OPavg'r2Mrb'=--'(a-rp)-LI7C82.abL17=0.046~b=-'"'(*-0*)2bwhichgives,Mrb-13.186andQb=42.593Deflectfon frompressure/bending, 2aavgayb'=Mrb-C2+Qb-C3-L11,ooowhichgives,yb175210qDeflection frompressure/shear, 2arrpKsa'=-0.3 2.1n--I+-~I-2In-bab2m'vgat.Gwhichgives,Ksa=%.078aridy'sq=-2.0910Deflection frompressure/hubstretch,Pfprcett(a-b)OPavgPforce'Lystretch'=ttb2Ewhichgives,Pf=334.525andysttch=-2.89710COMEDPLEvaluation PSWP67BA.MCD ValveID:2SWP'MOV67B page2
| |
| | |
| NiagaraMohawkPowerCorporation NuoteerEngineering Originetotlnete goergpoA8~g/r->lpga NMP2Cetouletion Cont.SheetPage$hf/~A10.1-A@003, Rev.01TotalDeflection duetopressure, Additional GeometryFactorsyq:ybq+ysq+y~~
| |
| whichgives,yq=-4.131~10'Ir.'=,aroL3.=-.4a22roaro+IIn-+--IararoL9.'=-.ar21+v&I-v0-In-+-I-2ro4awhichgives,L3=0andL9=0Deflection fromseatload/bending, w:=IawC2roC9roC3L9--+L3whichgives,DCSbbybwI'465'107Deflection fromseatload/shear, roroKsa.'=-1.2-In-aby~:=Ksa-whichgives,Ksa~W.49tGswy-1.30110Deflection fromseatload/hubcompression, L-2'1t'a2ycompr'=ttbEwhichgives,y~"1.02310TotalDeflection fromunitseatload,whichgives,yw=-2.86810wequilibrium 14406yw:=ybw+ysw+
| |
| ycomprEquilibrium contactloaddistribution, yqwequilibrium
| |
| 'whichgives,ywLoadperseat=2tta-=170.165yqywPressureLockingForce,COMEDPLEvaluation PSWP67BA.MCD ValveID:2SWP'MOV67B page3 0tl NiagaraMohawkPowerCorPoration NuotearEngineering NMP2Catoutation Cont.SheetChecker/Date A+1Pageej'o//37A10.1-AD403.
| |
| Rev.01F1k:=2na-(pcos(e)-sin(e))2whichgives,Fpreslock=30.3Yqpreslock'wPistonEffectForce,P~'.=0Fraraairaar'Danan'PhennarFane)whinhgivenFpinnaairaari60368"ReversePistonEffect"Force,Fv~.=[en(gphe~ar-Pap-Pea~)]ain(8) whihngiveaTotalForceReuiredtoOvercomePressureLockinFvm=104.517"total'reslock+po~vertpistoneffectwhichgives,'to<3376478103.ACTUATORCAPABILITYt ActuatorModel/Size:
| |
| MotorTorqueOutput:GearRatio:Application Factor.PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:
| |
| TQout:=TQmRVOGR.AfEffTQoutTHcap.'=-Sf=SMB-000-5 TQm:=5OGR:=40Af:=0.9Eff:=0.4RV:=0.8825TQout=56.074Sf:-"0.014263 THcap~3.931~10lt-lbstt-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCKINGMETHODOLOGY:
| |
| KEI:=1.20ThreatMargin:=Tiicap-(Fn,ng.KEi)
| |
| ThstMargin~-120.34lbsIL~Conclusion:
| |
| OpenThrustMarginisnegative, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated>
| |
| Ayufetre8sixrcVleieea~gpgn.iggot./ns'e,~etg~>~fcmscol'iegpecg4/Ho>drev'.COMEDPLEvaluation PSWP67BA.MCD ValveID:2SWP'MOV67B page4
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering
| |
| 'go~apn@Q+l>%i&7ValveIDno:2SWP'MOV94A NMP2Calculation Cont.SheetChecker/Date Pager/PPA10.1-AD403, Rev.01Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTSrValveDiskGeometry:
| |
| hubradius,b:=3.375hublength,L:=0.125meanseatradius,a:=3.91averagediskthickness, t:=0.4Saftseatangle,o:=10e=--e=0.0872180diskangleaValveDiskMaterialProperties:
| |
| eishalfmodulusofelasticity, E:=29400000 Poisson's Ratio,v:=0.3OtherValveParameters:
| |
| ValveStemDiameter, D<~.--1.625 StaticUnseating Thrust,F~.=7751(reference:
| |
| Test¹26,$9i95)ValveFactorVF:=0.65(reference:
| |
| NER-2M-010)
| |
| DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),P~.=10SValveBonnetpressure(psig),Pbonnet=108Downstream pressure(psig),Pdown'=0CALCULATIONS:
| |
| Coefllcient offrictionbetweendiskandseat,p:=cos(e)--a~(e)IVF~+p0.686(reference
| |
| ¹6)AverageDPAcrossDisk,DiskStf'ffnes Constants, gives,DP=54andG:=-E2(1+v)up+downDPavg'bonnet2Etu(i-.*)whichgives,D2.97710andG=1.131~10Iba,bbabGeometryFactors,C2.=-I--1+2ln-C3.'=--+IIn-+--I4ab4aabaIbC8.=-I+v+(I-v)2abI+vaI-vb2C9.---In-+-.I-a2b4awhichgives, C20.009C80.911COMEDPLEvalUation PSWP94AA.MCD C3=3.965'10 C9<0.121AValvelD:2SWP'MOVpage1 Jl0 NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date cQ~~~+z4'~&/z3j5pNMP2Calculation Cont.SheetChecker/Date Page~fo/r%~,A10.1&D40S.
| |
| Rev.01Additional GeometryFactors,rp,=b242'oro'oL11'=-1+4--5--464aaa2roa2+-ln-arp1L174421-U00a1--1----~11-(1+Y)1n-4aarpwhichgives,L11=1.378.10 andMomentFactors,2DPavgaC9I2Mrb'0jC82abL17=0.009'"'(*-0*)2bwhichgives,Mrb=-8.373andQb=31.18Dellection frompressureIbending, 4aDPavgayb'.=Mrb-C2+Qb'C3-.L11DDDwhichgives,yb193710qDeflection frompressure/shear,2arprpK~:=-0.321n--1+-1-21n-babysq'=.2saavgatGwhichgives,Ksa=%.012.andy.~-L79610sqDeflect/on frompressure/hubstretch,Pforce'.=tt (a-b)DPavgPforceLystretch=nb2Ewhichgives,Pforce~661.191andystretch-3.928'10 COMEDPLEvaluation PSWP94AA.MCD ValvelD:2SWP'MOV94A page2
| |
| | |
| NiagaraMohawkPowerCotporauon NuclearEngineering Orlginatorlnate cCiygpgNMP2Calculation Cont.SheetchackarlDste
| |
| ~~/g/rrPage/~/'37Ato.t-AD403, Rev.01TotalDeflection duetopressure, Additional GeometryFactorsyq'bq+ysq+ystretch whichgives,yq=-3.771~10ro:=aroL3'=-.4822roaro+Iln-+--I8roaroL9--a1I+vaI-vo-ln-+-I-2ro4awhichgives,L3~0andL9=0Deflection fromseatload/bending, Wi=I8wC2roC9roC3ybw.'=L9--+L3whichgives,DC8bbybw=-1.835'10 7Deflection fromseatload/shear, roroKsa.'=-1.2-In-ab8y~.--Ksa-tGwhichgives,Ksa=%.177ysw=-1.272'10 Deflection fromseatload/hubcompression,
| |
| -2tt.aycompr'tbL2whichgives,ycompr'otalDeflection fromunitseatload,yw:=ybw+'ysw+ycomprwhichgives,yw312210whichgives,Equilibrium contactloaddistributfon, yqwequilibrium
| |
| 'wLoadperseat-"2tta-~296.797Jqywequi]ibrium PressureLockingForce,COMEDPLEvaluation PSWP94AA.MCD ValvelD:2SWP'MOV94A page3
| |
| | |
| NiagaraMohawkPowerCorfgoratfon NucfearEngineering t3rfginator/Date royoAf~QlfClgnlrpNMP2Catculation Cont.SheetChecker/Date jglrpIt./f/Page9+f/37Atp.1AD403,Rev.OtF1~'=2fta-(itcos(6)-sin(0))2whichgives,Fpreslock=354.165preslockYwPistonEffectForce,Pan:=0ftpistoneffect'tem'ibonnetpatm)whichgives,Ftstpn~~t223986"ReversePistonEffect"Force,Fveftaa2PbonnetPupPdownsm(1)whichgives,TotalForceReuiredtoOvercomePressureLockinF~=452.088F<<tal:=Fpreslock+Fpp+Fveft-Fpistoneffectwhichgives,F<<~=8.333267 10'CTUATORCAPABILITY:
| |
| ActuatorModel!Size:
| |
| MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:
| |
| TQout:=TQmRVOGRAfEffTQoutTHcap:=-Sf=SMB-00-15 TQm'.=14.74OGR:=34.1 Af:=0.9Eff:=0.4RV:=1.0TQout~180.948Sf:=0.016407THcap=1.10310tt-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
| |
| KE[:=1.20ThrustMargin:=THcap-(Fm~KEI)ThustMargin~1.029101bsConclusion:
| |
| OpenThrustMarginlspositive, therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
| |
| COMEDPLEvaluation PSWP94AA.MCD ValvelD:2SWPMOV94Apage4
| |
| | |
| NiagaraMohawkPowerCorporation NuclearEngineering Originator/Date
| |
| >~.p..4-Q~/iabpNMP2Calculation Cont.SheetCheckeriDate r/s/N7>>Pag~of/5'7A10.1.AD403, Rev.01ValveIDno:2SlrrVP'MOV94B Reuired0eninForceOeternminafion underPressureLockinCondifions COMEDMethodDESIGNINPUTS:ValveDiskGeometry:
| |
| hubradius,b:=3.375meanseatradius,a'.=3.91averagediskthickness, t:=0.48seatangle,a--100:=--00.087.art21808ishalfdiskangle ahublength,L:=0.125Valve.DiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 Poisson's Ratio,v.=0.3OtherValveParameters:
| |
| hlValveStemDiameter, Dz.'=1.625StaticUnseating Thrust,Fpo8674(reference:
| |
| Test¹6,tV1M3)(reference:
| |
| NER-2M-010)
| |
| ValveFactorVF:=0.65DesignBasisConditions attImeofPressureLockingEvent:Upstreampressure(psig),Pp.=108ValveBonnetpressure(psig),Pbonnet"108Downstream pressure(psig),Pdown0CALCULA77ONSi CoeNicient offnctionbetweendiskandseat,p:=cue)-sin(0)p0.686(reference
| |
| ¹6)AverageDPAcrossDisk,DiskStiffnesConstants, gives,DP=54Sfl(tG:=-E2(1+v)up+downavg'onnet"2Etr2(r-')whichgives,D=2.97710andG1.131~101ba.bbaGeometiyFactors, C2.'=-1--1+2ln-C3.'=--+1h-+4ab4aab1bC8:=-1+v+(1-v)2ab1+va1-vC9.--.-ln-+-a2b4whichgives,C20.009C80.911C3=3.965'10 C9=0.)21COMEDPLEvaluation PSWP94BA.MCD ValveID:2SWPMOV94Bpage1
| |
| | |
| NiagaraMohawkPowerCorgoration NuclearEngineering Originatorloate
| |
| ~~pc,Q.g~~gyyppNMP2Calculation Cont.Sheetakkkkklrakrk
| |
| ~7/a/r7Page95ofr~'7A10.1AO403,RW.01Additional GeometryFactors,rp',=b2422rprprprpL11'=-I+4--5--4-~2+-In-64aaaarpIL17.'=-44I-v0I--I--4~a2rpa~I+(I+v)ln-arpwhichgives,MomentFactors,LII1.37810andL17=0.009Mg:=-2DPavgaC8a-rp-L172ab'"'(*-0*)2bwhichgives,M*-8.373andQb~31.18Deflection frompressure/bending, r4aaavgayb'.=Mrb'C2+Qb-C3-L11DOOwhichgives,yb~-I93710,qDeflection frompressure/shear, 2arprpK~:=-0.32In--I+-~I-2In-bab2Km.DPavgat.Gwhichgives,K~~%.012andy-1.796'10 sqDeflection frompressure!
| |
| hubstretch,Pra~.'=a(a-b)DPak<Pforce'Lystretch'tb2Ewhichgives,Pf0~'"~661.191andystretch=-3.92810COMEDPLEvaluation PSWP94BA,MCD ValveID:2SWP'MOV948 page2 1I'I NiagaraMohawkPowerCorporation NuotearEngineering Originator/Date
| |
| ~reapg,A'MP2Calcuiation Cont.Sheetcweaeaas<a~Page94efi' PA10.1-AD402.
| |
| Rev.01TotalDeflection duetopressure, yq'bq+ysq+ystretch whichgives,y=-3.771~10Additional GeometerFactorsr:=aroL3'=-4a22roaro+IIn-+--IaroaroL9.=-.a2I+va1-vro-ln-+-I-2ro4awhichgives,L3=0andL9=0Deflection fmmseatload/bending, w:=IawC2roC9roC3ybw:=----L9--+L3whichgives DC8bbybw~-1.83510Deflection fromseatload/shear, roroKsa:=-1.2-ln-aby:=Ksa-whichgives,asw'sa~%.177ysw~-1.272.10 Deflection fromseatload/hubcompression,
| |
| -2'ttacompr'tbL2whichgives,ycomprTotalDetlection fromunitseatload,yw:=ybw+ysw+ycompr whichgives,yw3.12210Equilibrium contactloaddistnbution, we~bn~.'=-whichgives,yqywLoadperseat>>-2tta-~296.797yqywwequilibrium 12.081PressureLockingForce,COMEDPLEvaluation PSWP94BA.MCD ValveID:2SWP'MOV94B page3
| |
| | |
| NiagaraMohawkPowerCorPoration NucfearEngineering Onginator/Date wo~rzprr~rob/p'/zsjpQNMP2Cafcufation Cont.SheetChecker/Date
| |
| .ir/fCj7Pagerr/of J9~A10,1.AD403, Rev.Ot2.,q.(.~>0)<0)).2whichgives, Fp1~k=354165YqYwPistonEffectForce,Pat:=02/ppistonstreet''Dstem'(Pbonnet Pstm)wh/chgive~,Fp,.st,ncff~t=223.986s"ReversePistonEffect"Force,Fcrt.'-.
| |
| fta2Pbonnct-Pup-Pflownsin(8)whichgives,TotalForceReuiredtoOvercomePressureLockinFv~=452.088Ftptat.'=Fpresloci'+Fpc+Fvert-Fpistoncffccwhichgives,Ft~9.256267'10
| |
| 'CTUATORCAPABILITY:
| |
| ActuatorModel/Sizar MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency:
| |
| ReducedVoltage:TorqueOutput:Stemfactor.ThrustCapability:
| |
| TQoutTHcap:=SfTQout:=TQmRVOGRAfEff=SMB-00-15 TQm',=14.74OGR:=34.1Af:=0.9Eff'=0.4RV:=1.0TQout~180.948Sf:=0.016407THcap=1.103'10ft-lbsft-lbs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:
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| KEI:=1.20TbrnstMsrttin=THcsp-(FtomtKEI)ThrustMargin~-78.7991bsQt/1Conclusion:
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| OpenThrustMarginIsnegative, therefore thisvalveandactuatorarelikelyto.overcomethetheoreticalpressurelocklngconditlonsevaluated>
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| pe~everHAerr/a~giw/~
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| aogirasolgrafHriisr/d/'~pgaep~
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| 4)drifts~
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| <~4COMEDPLEvaluation PSWP94BA.MCD ValveID:2SWP'MOV94B page4
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| | |
| hlYNlAGARAHQMOHg~K..CALCULATION CONTINUATION'SHEET NUCLEARENGINEERING Page(Next~atNineMilePointNuclearStationUnit:2Disposition:
| |
| NAOriginator/Date Checker/Date cgiOWWP'ffe~ggPria/~rA10.1-AD-003 Revision01ATTACHMENTS FORMAT¹NEP-DES-08, Rev.01(F02)
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| | |
| NIAG&MIITOHAWKPersonsInvolved:
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| CACCldll/0>:
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| A/0,(-ADa&9Pgv'(AAsl~ed/gNUcr.Em~~~Ay~PggNG~~GNOTESOFTELEPHONE CONVERSATION NMPC:GainesBruceAnchor/Darling:
| |
| RonBrubakerDateofConversation:
| |
| Tuesday,August22,1995
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| | |
| ==Subject:==
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| InternalValveDimensions for2CSH*MOV101 2:45PMSummaryofConversation:
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| RoncalledtostatethathewasworkingonourP.Q.toprovideinternalvalvedimensions.
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| RonstatedthatasIhadpreviously requested, thathewascallingtoprovidemethedimensions for2CSH~MOV101 inadvanceoftheformalresponse.
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| Applicable dimensions for2CSH*MOV101 are:SeatOD:SeatID:HubDiameter:
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| Wedgeangle:Topofdiscwidth:Bottomofdiskwidth:Hubwidth:131/2inches11inches4inches6degrees(includes bothfaces)2.013inchesI/306inchesP/,Pod")3/16inchRonstatedthattherewasabout1/8inchofhardfacingonthediscscat.IadvisedhimthatIthoughtthatMPRwantedthcwidthlesshardfacing.Ron'alsostatedthatthehubwidthwasnotauniformwidthfromtoptobottom.Thesidesareabrasivecutandthatisthe3/16inchdimension.
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| Ronstatedthathewouldtrytaclarifywhatisbeingprovidedintheformalresponse.
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| ActionRequiredandDueDates:Nospecificactionsaretoresultf'romthisdiscussion.
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| AnchorDarlingisto,comply withP.O.Commitments:
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| N/Axc:RonBrubaker(byfax) 0 NiagaraMohawkPowerCorporation
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| -VeianP.O.P9-80572-KDimensional DataforPressureLockingAnalysisDM-0050cP0ValveID2RHSAMOV112VelanDw.No.P2-7026-N13item492017.62515.935SeatDimensions SizeOOIDHubDia.1<.2500,37K%6/HubTopofDiskWidthThick"ess BottomofDiskWedgeBonnetThickness AnleVolume1.330104464.72RHS*MOV113 P2-7026-N13482017.62515.935i4.2500.3751.330104464.72RHS*MOV1 5A2RHS*MOV1 5B2RHS*MOV25A 2RHS*MOV2sB 2SWP'MOV21A 2SWP*MOV21 B2CSL4MOV1072SWPAMOY67A2SWP*MOV67B 2ICS*MOV129 P3-7026-N10 P3-7026-N10P3-7026-N10 P3-7028-N10 P3-7026-N18P3-7026-N18P3-7026-N2P3-7026-N18P3-7026-N18 P3-7026-N2474747476262137777241616161615.90615.90615.90615.9063.1253.1253.9383.9383.9386.25014.90614.90614.90614.9062.7602.7603.5763.5763.5765.7501'..500i1.50011.50011.5001.7501.7502.5002.5002,5004.5000.~000.6000.5000.6000.5000.5000.5000.5000.5000.250".~BP3.8821.8821.8820.5280.5280.6280.6280.6280.4121.4061.4061.4061.4060.5520.5520.6240.6240.6240.343103238.9103238.9103238.9103238.9106391063.910111.010111.01011107215.32ICS*MOV136 2HH8'OV4A P3-7026-N2 24P3-7028-N2266.250-8.2605.7506.7604.5004.6000.2500.4120.2600.4120.3430.3437216.3721632RHS*MOV4B 2RHS*MOV4C P3-7026-N2P3-7026-N22SWP*MOV17A 2SWPoMOV17B2SWP'MOV1 BAP3-7026-N6P3-7026-NBP3-7026-N62SWP*MOV66A P3-7026-N6 2SWP*MOV66B P3-7026-N6 2SWP'MOV94A P3-7026-N62SWP*MOV94B P3-7026-N6 2525656566663737386688881212126.2506.2508.063-8.0638.0638.06311.750ii.7s011.7505.7505.7507.5637.5637.5637.56311.25011.26011.2509.8759.8769.8750,2500.2600.2504.5000.2504.5000.2506.7500.2506.7500.2506.7500.2506.7500.2500.4120.4120.4710.4710.4710.4710.671AP7<967"-0.3430.3430.4780.4780.4780.4780.9060.9060.906721s37215.310434.310434.810434.810434.871294071294.071294.02SWP*MOV18B 2RHS'MOV1 152RHS*MOV1 162ICS*MOV1 262ICS*MOV122 2ICS~MOV121P3-7026-N6P3-7026-N6P3-7026=N6P3-7026-NBP3-7026-N10P2-7026-N172ICS*MOV128 P2-7026-N17 Note:Dimensions arelninches.38464530-403669121616612101011.75015.90615.9065.87511.7508.7508.75011.25014.90614.9065.33211.2508.0308.0309.87511.50011.5003.0009.8756.1256.1250.2500.5000.5001.0000.2500.3750.3751.8821.8821.0000.6710.8260.8260.9061.4061.4061.1230.9061.1971.1977129.0103238.910.3238.910283.471294.010617.210617.2Preparedby:JohnMcDougall 24/08/1995 Rev1
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| '
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| 4M~Mme.~CP~qtcd=4Cz4COMMONWEALTH EDISONCOMPANYPRESSURELOCKINGTESTREPORTBrianD.Bunte,P.E.Commonwealth EdisonCompanyJohnF.Kelly,P.E.RECTATechnologies, inc.ABSTRACTPressuieLockingisaphenomena whichcancausetheunseating thrustfor'gateygyetoincreasedramatically fromitstypicalstaticunseating thrust.Thiscanresultinthevalveactuatorhavinginsufficient capability toopenthevalve.Inaddition, thiscanresultinvalvedamageincaseswheretheactuatorcapability exceedsthevalvestructural limits.Forthesereasons,aproperunderstanding oftheconditions whichmaycausepressurelockingandthermalbinding,aswellasamethodology forpredicting theunseating thrustforapressurelockedorthermally boundvalve,arenecessary, Thisreportdiscusses theprimarymechanisms whichcausepressurelocking.Theseincludesuddendepressurization ofpipingadjacenttothevalveandpressurization offluidtrappedinthevalvebonnetduetoheattransfer.
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| Thisreportprovidesamethodology forcalculating theunseating thrustfora'valvewhichispressurelocked.Thisreportprovidestestdatawhichdemonstrates theaccuracyofthecalculation methodology.
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| DESCRY"HON OFPRESSURELOCKINGPHENOMENA Pressurelockingoccurswhenthebonnetcavitypressureofagatevalveexceedsthepressureonhghsidesofthevalvedisk.Thetwoprimarymechanisms thatexistforpressurelockingofgatevalvesaredescribed below:Thispressurelockingmechanism occurswhenavalveispressurized fromoneside.Leakagepastthevalvescatwillcausethefluidinthegatevalvebonnettopressurize to.,thepressureofthehighpressuresideofthevalvedisk.Depending ontheleak-tightness ofthevalveseats,thispressurizatio processmaytakesecondsorhours;however,itisextremely unlikelythatthevalveseatwillbesufficiently leaktighttopreventthisprocessfromeventually occurring.
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| Ifthesourceofpressureissuddenlyremoved,thenprcssureinthebonnetvalvewillremaintrapped.Ifthevalveiscalledupontoopenbeforethebonnetpressurehasdecayedtothelinepressure, thenapressurelockingeventoccurs.eThe'timeneededforthebonnetpressuretodecayisdependent onseveralfactorsincluding leaktightncss ofvalveseatsandpacking.Inaddition, whenthebonnetfluidisatahightemperature orcontainslargeamountsofair,the,bonnetpressuredecaysmuchmoreslowlyduetothepressurizer effect.Apparentcasesofpressurelockingoccurring uptoadayafterthepressuresourceisremovedhavebeenrecorded.
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| However,testdatapresented laterinthisreportsuggeststhatthebonnetpressureislikelytodecaywithinonehourofthesuddendepressurization event3C-9'UREG/CP-0152 0'I0 g44iehwy~yCC~~c+C2~urring~istypeofpressurelockingislikelytooccurwhenpumpsadjacenttoclosedvalvesshutofforwhenaneventsuchasaLOCAcausespressureononesideofavalvetosuddenly<<op<<f~entheinitialdifferential pressureacrossthevalvediskissufficient tounseatthehighpressuresidediskfromitsseat,thenthebonnetpressurefollowing asuddendepressurization eventislessthanthebonnetpressureatthestartoftheevent.Themaximumpressurewhichcanbetrappedinthevalvebonnetcanbecalculated bydetermining thedifferential pressureatwhichthevalvediskwillcomebackintocontactwiththevalveseat.Untilthedisktoseatcontactisre-established, thebonnetpressurewillfollowthe.upstream sidepressure.
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| Thiscalculation hasbeendeveloped byComEd,butisnotprovidedinthisreportduetoconstraints onlength.Thispressurelockingmechanism occurswhenthevalvebonnetcavityofagatevalveisfilledwithliquidthatcontainslittleornoair.Ifaheatsourceisappliedtofluidinthevalvebonnetcavity,thenexpansion ofthefluidcancausepressureinthevalvebonnettodramatically increase.
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| Theheatsourcecanbefluidinpipingadjacenttothevalveorexternalenvironmental conditions asmightbeencountered following ahighenergylinebreak.Pressurization ratesof-20psi/'Fto60psi/'Fhavebeenrecordedduringspecialtesting.However,pressurization ratesofthisnaturerequirethefollowing conditions toexist:thevalveseatsandpachngmustbeveryleaktight~theheatsourcemustprovideahighheattransferratetothebonnetcavityfluid~noaircanexistinthevalvebonnetcavity,orthetemperature riseinthevalvebonnetcavitymustbesufficient tocausetheexpanding fluidtocollapsetheairbubblesbeforethehighpressurization ratecanbeachieved.
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| PRESSURELOCKINGCALCULATION MEI'HODOLOGY 1.Thevalvediskisassumedtoactastwoidealdisksconnected byahub.Theequations inreference 1areassumedtoconservatively modeltheactualloadduetopressureforces,2..ThecoefBcient offrictionbetweenthevalve,seatanddiskisassumedtobethesameunderpressurelockingconditions asitisunderDPconditions.
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| NUREG/CP4152 3C-10
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| | |
| ~X~U4aaKLbKA)i-CQX<oik44~~h~g~+C~%c.Kc''gn'nputsareusedincalculating theforcerequiredtounseatapressurelockedMOV:i~sign~isPressureConditions atthetimeofthepressurelockingevent.Thisincludestheupstream(PP,downstream (P~g,andbonnetpressure(P~J.~ValveDiskGeometry.
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| Thisincludesthehubradius(b),hublength(L),meanseatradius.,(a),seatangle(8),andaveragediskthickness (t).Figure1belowisprovided, forfurtherclarification.
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| Whenthehubcross-section isnotcircular(e.g.manyWestinghouse gatevalvedesigns),
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| thenaneffective hubradiuswhichcorresponds toacircleofequalareatothehubcross-sectional areashouldbeused.~ValveDiskMaterialProperties.
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| Thisincludesthemodulusofelasticity (E)andthePoisson's ratio(r)forthediskbasematerial.
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| ~ValveStemDiameter(D~II~StaticUnseating Thrust(FP~Coefficient ofFrictionbetweenDiskandSeat(p)3C-11NUREG/CP-0152 0
| |
| FIGURE1SEATRlNGVALVEDISKISeatRingCenterline PlaneofSymmeThroughOlskThemethodology forcalculating thethrustrequiredtoopentheMOVsunderthepressurelockingscemuioisbasedontheReference 1(Roark's) engineering handbook.
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| Thismethodology isbasedinpartoncalculations developed byMPRAssociates (Reference 2).Themethodology determines thetotalforcerequiredtoopenthevalveunderapressurelockingscenariobycalculating thefourcomponents tothisrequiredforce.Thefourcomponents oftheforcearethepressurelockingcomponent, thestaticunseating component, thepistoneffectcomponent, andthe"reversepistoneffect'omponent.
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| Thesecomponents aredetermined usingthefollowing steps.NUREG/CP4 1523C-12 IIIII~,~n ledastwoplatesattachedatthecenterbyahubwhichisconcentric withplaneofsymmetryisassumedbetweenthevalvedisks.'This planefsymmetryisconsidered fixedintheanalysisFIGURE2HaneofSymmetryModeledAs:-I-AxisafSymmetry3C-13NUREG/CP-0152
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| | |
| ~~IJQ(~l~i~%4gt44+b.~Q~q~+Cgascxfonthisgeometry, thefo>>o~ing constants arecalculated usingtheReference iequations:
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| AverageDPAcrossDiskP+P~OP~-PboDiskStressConstants Ext(Reference I,Table24)D-12x/1-v'-.2x(1+v)GeometryFactorsb(Q.gb'sFM~INB(Reference 1,Table24)1C=-1-24bC=-4aI1+2b'2+1aab-+--1ba(4)1C=-I2bC=-9aI+v+(1-v)-a1+va1-v+2b4b21--a(7)hHGKG/CP4 1523C-14
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| | |
| gQa(,jiL)-4~++~eh~pn+CV)qzcThepressureforceisassumedtoactuniformly upontheinnersurfaceofthediskbetweenthehubdiameterandtheouterdiskdiameter.
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| Theouteredgeoithediskisassumedtobeunimpeded andallowedtodeflectawayfromthepressureforce.Inaddition, thediskhubisallowedtostretch.Thetotaldisplacement attheouteredgeofthevalvediskduetoshearandbendingandduetohubstretcharecalculated usingtheReference 1equations.
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| FIGURE3shear~am.~stretchAddtdonal GccwcnyFacmrs(lbfcrcncc l.Toblc24)(r,~bfor'Cacc2L)
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| PuP2P3,1]+(]+v)MomentF~()$g~sg('D()-DPxC-ci(()(2ssasaa 2Ta(sla24,Csaa2L) hf>>2(a-as)Lss](r,~bforCocc2L)~DPav(~~)22(bDcjfccclccc jhraprccc()tel bcatbga'iDPassgaa'PalaasaaL1 a(s(a2(Ccaa2L)yk(aCsQ(s-Cs-.D-(ss3C-15NUREG/CP4152
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| 4~bcX~Wi-o~A,LO.E-KC-O~~044~~4~a~%CCS~+~~CoDeflecttofrompressure.'hear (peference 1,Table25,Case2L)Ksa=-0.2t---'-2l(13)(r,=bforCase"L)K,.xDPavgxa'xG Deflection PopressureIhubstretchP>=tr(a'b')DPavg-PjLnxb'2xETotalDeflectionduetopressure(17)Anevenlydistributed forceisassumedtoactbetweenthevalveseatandtheouteredgeofthevalvediskTNsforceactstodeflecttheouterdiameterofthevalvediskinwardandtocompressthediskhub.Thepressureforceisreactedtobyanincreaseinthiscontactforcebetweenthevalvediskandseats.Thevalvebodyseatsareconservatively assumedtobefixed.Therefore, thedeflection duetotheknownpressureloadmustbebalancedbythedeflection duetotheunknownseatload.Thedeflection duetothepressureforcewaspreviously calculated.
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| TheReference 1equations arenowusodtodetermine thecontactforcebetweentheseatanddiskwhichresultsinadeflection whichisequalandoppositetothedeflection duetothepressureforce.Thisisdonebyfirstcalculating theamountdeflection createdbyaunitloadofseatconstforce(w~1lbf/in).Theequilibrium contactloadisthendetermined bydividingthedeflection causedbytheunitcontactloadintothepreviously calculated deflection duetothepressureforce.Theequations areprovidedbelow.NUREG/CP%1523C-16
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| i~a+o~k<O>-4>-<<~hA4.Ac%wca+p~ggQQo+C-Z4rfdditional GeometryFactors(Reference I,Table24,CaseIL)rnL,=-4xalro+Ia2ar,I-+--Ir,a(18)(forCaseIL,r,=a,.L3=Q=0)>>0aI+v-I2aI-v+ro4-HDeflectionjom seaload/bending(r,=a)~,~pc/yp(Reference I,Table24,CaseIL,w=I)(2o)Deflection f>>omseatload/sltea>>
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| (>>=a)(ReferenceI, TaMe25,CaseIL,w=1)
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| E'-12-'ab(21)y=E-(22)Deflectt'onPomseat loadIhubcour.Zxgxaw=I,.'.'Cnryres.hefo>>ce=2xe xayzxb(23)TotalDeflectionporn uniseatload(w=1)'.=y+y+y(24)3C-17NUREG/CP-0152
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| ~'0 gg4i~4~i>+CCsa~+'C~+nttload'istribution (ibf/in)andthecorresponding loadappliedTherefore, theequilibrium contacttoeachseatiscutscalculated.
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| usingtherelationship bc}ow..,it'lleX.iscalculated fpp~Loadperseat=2xgxax-(25'26beusedtodetermine anappropriate scattodiskfrictioncoefficient.
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| UsingSeveralmethodsmayuecfollowinuationthisfrictioncoccientana',c'ri'fi'andaforcebalanceonthediskto,seatinterface, thc'cqbetweenisderivedforcuatingescalI'htcmforcerequiredtoovercomethcincreased contactloadtheseatanddisk:F=2xgrxax-'[pxcos{8)-sin{8)jx2 prcskek(27)wlenilthelass2corraposdssothenumber ofscamThestaticunseating forceresultsfromtheopenpacgonkinloadandpulloutforce'due towedgingofthevalvediskduringclosure.Theseloadsaresuperimposed ontheloadsduetocpressureforceswhichoccurduringpressurelocking.ThevalueforthisloadisbasedonstatictestdatafortheMOVs.I~ThepistoneffectduetovaIveinternalpressureaccedingoutsidepressureiscalculated usingthestandardlnusuy'eqdard'usuy'equation Thisforceassistsmovementofthevalvestemintheopendirection.
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| 2F=-xDxPb<<<<,-P<<III)plsrosscffecs4srtlss{2SNUREG/CPA 1523C-l8
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| Thereversepistoneffectisthetermusedinthiscalculation torefertothepressureforceactingdownwardagainstthevalvedisk.Thisforceiscalculated asfollows:F,,=<xax2xP~-P,,-P,xsing(29)HGURE4P1oanetPbonnet3C-19NUREG/CP-0152
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| ~~XcIo.+s'o<EhtO~t-h<0-<<>k44~~4we~+C~4K2cAsmentioned previously, thetotalstemforce(tension) requiredtoovercomepressurelochngisthesumofthefourcomponents discussed above.Allofthetermsarepositivewiththeexception ofthepistoneffectcomponent.
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| (30)DESCRIFMON OFTESTVALVESThethreetestvalveswereobtainedfromdifferent sources.TheCranevalveisatestvalvelocatedatQuadCitiesStation.TheWestinghouse valvewasobtainedthroughtheWestinghouse OwnersGroup.TheBorg-Warner valvewasobtainedfromArizonaPublicService.TheCramvalveisasparevalvewhichwassubjected toblowdowntestingatWyleLaboratories inHuntsville, Ahlmmt.TheWestinghouse valveisatestvalvewhichwassubjected tolimitedtestingatSouthTexasProject.TheBorg-Warner valvewasasparevalvewhichhadnotbeensubjected toprevioustestingotherthanthatperformed atthevendorpriortodelivery.
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| ThcCranevalveisacarbonsteelvalve(Model783-U)whichwasmodifiedduringblowdowntestingtocontainastainless steelvalvediskandmalcolmized guiderail(similartotheModel783-ULvalvedesign).TheWestinghouse valveandBorg-Warner'alve werestainless steelvalvedesigns.NUREG/CP4152 3C-20 11 DMM~'IONOFTEST'APPARATUS
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| ~Xc~~W~q>K~@,(Zxy-ugg4hc4~+~+c4CThefigurebelowshowsthebasictestsetupusedforthepressurelockingtests.AVQTES'4tacquisition systemandaMotorPowerMonitor(MPM)dataacquisition systemwereusedtocollectstemthrust,actuatortorqueandmotorpowerdata.Inaddition, on-linepressuredatawascollected duringtheWestinghouse andBorg-Warner valvetests.Ahydrostatic testpumpandaccumulator wereusedasthepressuresourceduringpressurelockingtestsandhydrppump DPtests:HGURESVOTESmLlmttarq.
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| MPMsystemVent88S>>InGa"QeAccumutator PressureGaugePressureGaugeHydroPump~1PressureGaugePressureGaugeVentFortheCranetest,thevalvewaslaidonitssiCkwiththestemslightlybelowhorizontal.
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| Thisconfiguration wasusedtoenlirethatnoairpocketswouldbetrappedwithinthevalvebodywhenitwasfilledwithwater.TheWestinghouse valvewasinstalled inateststandwiththestemupright.Thevalvebonnetwasventedbybleedingairoutofthkpackingleakwffline.'TheBorg-Warner valvewasinstalled inaspecialteststandwhichallowedpivotingthevalveabo'erlineThevalvestemcouldbeputatanyanglebetweenuprightandslopedut1'tscen~~~~~valvebonnet,thedownwardata15degreeangleineitherdirection.
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| ToremoveairfromthevalvebonvalvewasrotatedonitssiCkandrockedupanddownasitfilledwithwater.3C-21NUREG/CP4152
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| DESCRY'TION OFTESTMETHODSThetestprocessstartedwithstaticteststrokestoverifytheproperinstallation ofthedataacquisiti systemsandtomeasurestaticunseating loadmagnitude andrepeatability.
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| LLEKRATTLocalleakratetestsofthevalveswereperformed tomeasureseattightness.
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| Thesetestswiperformed atmultipletorqueswitchsettingsinsomecases.DPTestsintheopendirection wereperformed bypressurizing thevalvefromonesidewithhydropump andthenstrokingthevalveopen.Testdataindicates thatthedifferential pressureimaintained acrossthevalvediskwhilethediskslidacrossthevalveseat.ThepurposeoftheDPtcwastoprecondition thevalveseatsanddisksandtomonitortheseat-to-disk frictioncoefficient.
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| DPtestswereperformed untilastablefrictioncoefficient wasachieved.
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| Aseriesofpressurelockingtestswasperformed foteachvalve.Inletpressure, outletpressure, bonpressure, andstaticseatingforcewerevariedduringthesetests.Staticbaselineteststomeasurestaticunseating loadwereperformed betweenthepressurelockingtests.Thcclosurestrokesforstatictestswereperformed atthesameinitialconditions (pressure andseatingforce)astheclosstrokespriortothepressurelockingtestssothatthechangeinunseating loadduetopressurelockcouldbeaccurately determined.
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| Tomeasuretheseattightness, bonnetdeprcssurization ratetestswereperformed.
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| Theentirevassembly(including thevalvebonnet)waspressurized whileintheclosedposition.
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| Thentheupstranddownstream pressutewctevented.Thebonnetpressureasafunctionoftimewasmeasured.
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| To'easure thcpotential forpressurelockingduetobonnetfiuidheat-up,thermally inducedboypressurization ratetestswereperformed ontheWestinghouse andBorg-Warner valves.Aftervenairfromthevalvebonnetcavity,eachvalvewasclosedwhilefilledwithwateratapproximately psig.Thevalvebonnetwasthenheatedusinganoutsideheatsource.Thepressureofthefluidinvalvebonnetwasmeasureddirectly.
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| Thetemperature offluidinthevalvebonnetfortheBorg-Wavalveandthetemperature oftheoutsideofthevalvebonnetfortheWestinghouse valveweremeasuInitialpressurization ratesbetween0.5and2.0psi/degree Fweremeasured.
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| MuchhigherultirNUREG/CP4152 3C-22 1
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| klO<-Ab-o9CtWe4C.~Wpressurization rateswerewitnessed duringtheBorg-Warner tests.Thedatafromthistestingisnotpresented inthisreport,butisavailable fromComEduponrequest.PRESSURELOCKINGTESTDATAThefollowing tableprovidesthepressurelockingtestresultscomparing themeasuredpressurelockingunseating loadtothepredicted pressurelockingunseating load:TABLE1IncraLseercentConservatism (Non-Cons.)
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| Notesfan41414114el,4fgofgofgofg-fgefge~fge~14el4fge~fge~fg~3ce23NUREG/CP-0152
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| 6+~~M~Vw+c.g(e%(fgoifgoIorg-rg-.IOrg-.Irg-.Irg"~ItattcUnseating Thrust14clncratse14dIncreaseercent'onservatism (Non-Cons.)
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| NotesNOTES:1.Thepercentconservatism valuesarecalculated aftera"memoryeffect"of3100lbf(atTSS=1)or3500Ibf(atTSS=2)isaddedtothepredicted pressurelockingload.Testingindicated thattheprocessofapplyingandthenrelieving pressureagainstonesideoftheclosedvalvewassufficient tocausetheunseating forcetoincreasebytheseamounts,evenwhennopressurewascapturedinthevalvebonnet.ThiseffectwasonlynotedfortheBorg-Warnertestvalve.2.Whenbonnetpressuresignificantly exceedsthepressureclassratingofthetestvalve,thepressurelockingcalculation methodology appearstobecomenon~nservative.
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| 3.Tests86and95wereperformed toquantifythe"memoryeffect"fortheBorg-Warner valve.Thcsctestswereperformed likeapressurelockingtestinthathighpressure(-600psig)wasputagainstonesideofthevalvediskandthenbledoff.However,anypressurethatenteredthevaLvebonnetwasrelievedpriortotheopeningstroke.J4.TheACmotorforthetestvalvestanedduringthistestandthevalvedidnotfullyunseat.Testdatasuggeststhatopenvalvemotionwasinitiated priortothcstall.Consequently, themeasured.
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| increaseduetopressurelockingisbelievedtobe.correct.5.Thcpressuredataforthistestisquestionable andisbeingevaluated atthistime.II6.Theupstreamanddownstream prcssureduringthesetestswasapproximately 350psig.Thiswasdonetoapproximate, theLPCIandLPCSinjection valvepressureconditions whichcouldexistintheeventofaLOCh.Graphs1through6providethcdatainTable1forthethreetestvalves.Thctotalmeasuredunseating loadversusthetotalpredicted unseating loadandthepressurerelatedportionofthemeasiuedloadversusthepredicted pressurerelatedportionoftheunseating loadareplottedforeachvalve.NUREG/CP%152 3C-24 IP'It GRAPH1Predicted Unseating ThrustVersusMeasuredPressureLocldngUnseating ForceforCraneValve'IsxNOtm1mo001000020000300004XOO600000007000080000TotalPredicted UneealngLoad3C-25NUREGICP-0152
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| GRAPH2Predicted VersusMeasuredPortionofPressureThrustbuetoPressureForcesforCraneValve4XNO3500030MO2500020000150001000050000050001000015000200002500030000350004XNOPredicted LoadDuetoPressureNUREG/CP-0152 3C-26 r,
| |
| oowRo)he%)cpuGRAPH3Predicted Unseating ThrustVersusMeasuredPressureLockingUnseating ThrustforWestinghouse Valve'O50008000Cco'Igaxo10000010002000300040005000TotalPredicted Unseating Thrust3C-27NUREG/CP-'0152
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| | |
| GRAPH4Predicted YersusMeasuredPortionofUnseating ThrustDuetoPressureForcesforWestinghouse Valve7000a8000Ch5000gm<<xeceoaxe'100001000200030004000500060007000Predicted LaadDuetoPressureNUREG/CF41523C-28 I)
| |
| GRAPH5Predicted Unseating ThrustVersusMeasuredPressureLockingUnseating ThrustforBorg-Warner Valve1000015000'000025000Predicted Unseating Load3C-29NUREG/CP-0152 0
| |
| GRAPH6Predicted VersusMeasuredPortionofUnseating ThrustDuetoPressureForces.forBorg-%amer Valve10000"1$08NXSPrecHcted PnasureFoneeNUREGICP-0152 3C-30 14 K~l~+o~~a.i-hb-Oo~Po1c.zw4-c>4PRIMARYDIN'ERENCES BETWEENTHECOMMONWEALTH EDISONPRESSURELOCKINGCALCULATION ANDTHEPRESSURELOCKINGCALCULATION METHODPUBLISHED INNUIT/CP-0146 TheComEdmethodology isbasedoncalculating thecontactloadattheedgeofthediskwhichresultsinanequalandoppositediskdeflection tothatcausedbypressuretrappedbetweenthedisks,TheComEdmethodology differsinseveralwaysfromthemethodology described intheReference 4NUREG.~TheNUTMEGMethodology ignoresdiskdeflection duetohubelongation.
| |
| Thisisnon-conservative.
| |
| Fortypicaldiskgeometries, theexpectedimpactofignoringthiseffectislessthan5%.~ThehKGKGMethodology isbasedonusingTable24ofRoark'sequations forcalculating forcesinthedisk.Thistableignoresdiskdeflection ductotransverse shearstresses.
| |
| Section10.3ofRoark'sEquations discusses theconditions underwhichdeflection duetoshearisnegligible.
| |
| Fortypicaldiskgeometries thedeflection duetoshearisoftennotnegligible.
| |
| Table25ofRoark'sEquations providestheequations forcalculating diskdeflection duetoshear.Ignoringdeflection ductoshearisnon~nscrvativc.
| |
| Forsmallvalvesizeswherethediskthickness todiskdiameteraspectratioislarge()0.3),ignoringshearmayresultinunderpredicting thedisktoseatcontactloadby10%ormore,TheComEdmethodology treatstheverticalpressureforceonthediskseparately fromthepressurelochngloadcausedbytheincreased contactloadbetweentheseatanddisk.TheNUREGmethodology reliesonuseoftheopendiskfactorfortranslating theincreased seatingcontactforceintoanincreased unseating load.Theopendiskfactorisbasedonafreebodydiagraminwhichthediskhubisunloaded.
| |
| Thisisnotthecaseforpressurelocking.TheNUREGtreatment ofthesetwocomponents tothepressurelockingunseating loadisnon-conservative.
| |
| Thissourceofnonmnservatism isgenerally muchmoresignificant thantheotherconcernsmentioned abovefortheNUREGmethodandistheprimaryComEdconcernwiththeNUITmethod.Thederivations onthefollowing pagesareprovidedtosupportthediscussion above.3C-31NUREG/CP-0152
| |
| | |
| Op~phATeACTORDERIVATlON (Openingavalveagainstadifferential pressure)
| |
| %~%~4o~pF=StemForce(tension) pici-~u-'~+~'~4~p~i+CP=PressureForce<g~q,c+CZGFIGURE6'DPxSeatAreaR=SeatReactionForcepR=SeatFrictionForce8=SeatAngleDiskFactor(VF)=F/P(bydefinition)
| |
| Sumofforcesindirection:
| |
| gF,Peos8Rcos8-@csin-8PcM8cos&+psia&Sumofforcesiny~ction:Z~~e.-heiam-FPsfn&P.sh8-peas&}
| |
| coe&coe&+csin&shcps&+yah&
| |
| sh&-icos&)
| |
| cos&+psh&
| |
| cos&+psh8 Fsin&coe&+psin&~&sh&+
| |
| col(31)(32)(33)P~Pcoe&+psh8 (34)hKHKG/CP41523C-32
| |
| | |
| PRESSURELOCKINGSUM'OFFORCES5c4'h,fQ.'I.h.Qca%Q.o+~4i~~%CW~qqC>wQ.++4F=StemForce(tension)
| |
| FIGURE7P=PressureForce=DPxSeatAreaQ,=SeatReactionForce(calculated usingRoark's)p,Q,=SeatFrictionForce,8=SeatAngleT=DiskHubTension<aNotethatthesumoftheforcesinthex~tionisdifferent thanfortheseatfactorcaseduetothehubtensionforceT.Consequently, theQ,valueisatypically amuchlowerportionofthePvalueunderpressurelochngthanitisfortheseatfactorcalculation.
| |
| (ThisisthebenefitofusingRoark'sequations forcalculating theseatloadincrease.)
| |
| Therefore, thesumoftheforcesinthedirection shouldbesolvedfordirectlyfromthefreebodydiagramabove,asfollows:PPzFpQ,esS-Psbdl+Qp-in8
| |
| :.FqJpcos8-Iin8)+Mn8 (35)ThefirsttermintheequationaboveisthepressurelockingloadtermintheComEdmethodology.
| |
| ThesecondtermintheequationaboveistheForreversepistoneffectterm~intheComEdmethodology.
| |
| TheComEdmethodaddsthesetwotermstothestaticunseating loadandthensubtracts thestemrejection loadtogetthepredicted unseating loadunderpressurelockingconditions (37)Ratherthanusetheseequations, theNUREGmethodappliestheopenseatfactortotheQ,value.Becauseoftherelationship inequation37below,theNUREGmethodsubstantially underpredictstheverticalpressureforceportionoftherequiredthrust.Qa<Pcos8/(cos8+psin8)3C-33NVREG/CP4152 I
| |
| xvr.REHaMNCES C-K44'0<tg.~b.)-oa'WR,<th.~~+~pm'nqqC+<c4C2Young,W.C.,1989,SixthEditionofRoark'sFormulasforStressandStrain,McGraw-HillInc.n2.MPRCalculations 101-013-1, "EffectofBonnetPressureonDisctoSeatContactLoad",dated3/23/95;and101-013-4, "Estimate ofValveUnseating ForceasFunctionofBonnetPressure",
| |
| dated3/23/95.3.ElectricPowerResearchInstitute, NuclearMaintenance Applications Center,1990,Application GuideForMotor-Operated ValvesinNuclearPowerPlants,EPRI/NMAC ReportNP-6660-D, March.4.Smith,D.E.,1994,"Calculation toPredicttheRequiredThrusttoOpenaFlexibleWedgeGateValveSubjected toPressureLocking",
| |
| Proceedings oftheWorkshoponGateValvePressureLockingand7hennalBinding,NUREG/CP-0146, July1995.NUREG/CP4152 3C-34
| |
| | |
| gc+So~6lQhe@-~4~y~+P~)w6l<W12,GATEVALVETYPE,GEOMETRY, ANDITSEFFECTONOPEMNGANDCLOSINGTHRUSTSTherearefivedifferent typesofgatevalvesthatcovermostoftheapplications innuclearpowerplantsintheUnitedStates.ThekeyfeaturesofthesedesignsareshowninFigure2.1.Variations inthemostcommonlyusedgatevalvesincludesolid,flexible, andsplitgates(Figure2.1a).Thetwotypesofparallelexpanding wedgegatesshowninFigure2.1barealsoused,buttheirpopulation issmaller.ParallelslidinggatevalvesshowninFigure2.1carerelatively uncommonintheUnitedStates,butarewidelyusedinEuropeannuclearpowerplants.Theadvantages anddisadvantages ofvariousdesignfeaturesforthesevalvesarediscussed indetailinReference
| |
| [13]FlexibleWedgeGateSolidWedgeGateSplitWedgeGateFigure2.1aConventional SolidWedge,HexibleWedge,andSplitWedgeGateValvesAsshowninthesefigures,thedesignsvarysignificantly ingategeometries.
| |
| Otherimportant variations thataffectperformance arerelatedtogateguidearrangements andtheirdimensions; clearances atcriticallocations betweengate,guides,andseats;seatcontactwidths;andmaterials andsurfacefinishinthediscguideslidinginterfaces.
| |
| Section2presentsthegatethrustrequirements fortheabove-described variations ingategeometries.
| |
| Thissectionalsoaddresses thepotential fordisctiltingduringmid-travel duetofluidforcesacrossthedisc.Disctiltingcauseslocalized loadingbetweenthediscandthedownstream seat,orbetweenthediscandtheguides.Apreliminary analysisapproachtodetermine thelocalized contactstressesispresented inthissectiontodetermine theloadingseveritybaseduponvalvedesignandoperating conditions.
| |
| 0 Preliminary analysesoflocalized contactstressesbetweendiscandseatsaswellasdiscandguidesusedintypicalwedgegatevalvedesignsarepresented inthissection.Thepreliminary approachpresented hereneedsfurtheranalytical refinement andempirical correlations todevelopimprovedpredictive models.Detailedderivations oftheequations summarized inthissectionareincludedinAppendices A,B,andC.StomUpperWodgeUpstreamDiscDown-streamDiscLowerWedgeBodySogmentSeatStopPadFiguxe2.1bParallelExpanding GateValvesStemDiscRetalnlng PineDiscCarrierSeatPreloadSpringFigure2.1cParallelSlidingGateValve
| |
| /I Nn~amCIvordgo('4~WakenAtn.i-~p~+~lWaqg2,l.StemThrustforSolid,Flexible, andSplitWodgeGateValves'IEventhoughtherearedifferences intheperformance ofsolid,flexible, andsplitwedgegatevalvesasrelatedtotheirsensitivity, toexternalpipingloadsandthermalbinding[13],theequations fortheirstemthrustrequirements baseduponfreebodyconsiderations arethesame.Subsections 2.1.1through2.1.2summarize thestemthrustrequirements toIovercomeonlythedifferential pressureloadacrossthedisc.Subsections 2.1.3and2.1.4givethestemwedgingandunwedging thrustrequirements tocloseandopenthegate,respectively.
| |
| Thetotalstemthrustrequirements tocloseandoperithegateareprovidedinSection2.4,whichincludeothercomponents suchasstempackingload,stemrejection force(alsoreferredtoasblowoutforceorpistoneff'ectforce),andstemandgateweight.2.1.1.Ciosinl,StemThrusttoOuereomeGateDi/7erenti alPressureAsshowninSectionA.1.1ofAppendixA,thestemthrustatthegatetoovercomethediff'erential pressureduringclosingcanbeexpressed as:F,=.F[cos6-@sine (Eq.2.1)FpFiguxeR2GateEquilibrium UnderhPLoadDuringClosingwhereFs=Fp=8=stemloadatgate,Ibdiscpressureloadduetoupstream/downstream differential
| |
| : pressure, lbhPx(effective seatarea)coefficient offrictionbetweengateandseat1/2ofgatewedgeangle,deg'Thediscpressureload,Fp,istheproductofhPandseatareabasedoneffective discsealingdiameterasdiscussed furtherinSection2.5.FromEquation2.1therelationship betweenthecommonly-used termdiscfactor(some-timescalledualuefactor)andcoefficient offriction, p,canbederived:DiscFactor=cos8-psin8(Eq.2.la)For'ypical wedgegatevalvesthatuseatotalwedgeangleofaround10degrees(or8=5')andanormalrangeofcoefficients offriction, thedifference betweenthediscfactorandthecoefficient offrictionispractically negligible, asdiscussed inSection3.1.Thediscfactorcalculated intheclosingdirection canbeasmuchas5percenthigherthanthecoefficient offrictionfortypicalvaluesof8andpthatareencountered inpractice.
| |
| I'c 2.1.2.OpeningStemThrusttoOvercomeDiscDifferential PressureAsderivedinSectionA.l.2ofAppendixA,stemthrustduringopeningofawedgediscagainstadifferential pressureisgivenby:F=~Fcos6+Isin6(Eq.2.2)Fromthisonecanderivetheequivalence betweenthediscfactorintheopeningdirection andthecoefficient offriction:
| |
| DiscFactor=cos6+iLsin6(Eq.2.2a)FigureR3GateEquilibrium UnderdPLoadDuringOpeningThediscfactorintheopeningdirection isslightlylessthanthecoefficient offrictionfortypicalrangesofwedgeanglesandcoefficients offriction(within5percentofthecoefficient offriction),
| |
| asdiscussed inSection3.1.Asstatedearlier,thestemforcecalculated inEquation2.1or2.2istheforcerequiredtoovercomethedifferential pressureresistance only.2.1.3.StemWedgingLoad
| |
| -ClosingThestemwedgingloadisrelatedtothenormalseatcontactforce,Fn,asshowninSectionA.1.3ofAppendixA:F,=2(sin6+pcos6)F(Eq,2.3)Figure2AGateEquilibrium underWedgingLoadDuringClosingItshouldbenotedthatthisequationappliestothecasewhenthereisnodifferen'tial pressureacrossthegate.Whendifferential pressureispresent,thestemforceFsinthisequationisthenetstemforceaftersubtracting thedifferential pressureload.Insomecases,thelimitswitchinsteadofthetorqueswitchisusedtostopthedisctravelintheclosingdirection.
| |
| Whereacceptable fromtheshut-offstandpoint, thisapproachcanbeusedtoreduce,andinsomecaseseliminate, thewedgingload,F.
| |
| \
| |
| >1,4.StemUnwedgingLoad
| |
| -OpeningQh%+-a.~(~F
| |
| ~~~~8~~wbgSectionA.l.4ofAppendixAshowsthattheunwedg-ingloadtoovercometheseatcontactforce,F,isgivenby:F=2(lLcos9-sin9)F(Eq.2.4)FnFigure2$GateEquilibrium underUnwedging LoadDuringOpeningTheseatcontactforce,F,thatistobeovercomedur-ingtheopeningcycleisdeveloped by(1)wedgingloadfromthepreviousclosingcycle,including inertiaovershoot, (2)externalpipingloads,or(3)differential thermaleffectsbetweenthevalvebodyanddisc.Section4providesananalytical method-ologytopredictstemthrustduetoinertiaovershoot, andSection5discusses externalpipeloadandther-maleffectsthatmayinfluence thenormalload,Fn.2.2.StemThrustforParaMExpanding GateValvesThisSubsection 2.2summarizes thestemthrustrequirements forclosingandopeningdirections forthetwotypesofparallelexpanding gatevalvesshowninFigure2.1b.Thesamestemthrustequations applytobothtypesofparallelexpanding gatevalvesshowninthisfigure.Thetypicalwedgean'gleusedinthethrough-conduit typeis15degrees,andforthedouble-disc typeis25degrees.Itshouldbenotedthatforcoefficient offrictionof0.4Z(=tan25')orless,the25-degree anglebetweenthewedgesurfaces(alsoreferredtoasbackangles)providesanon-locking condition betweenthewedges.2.2.1.StemThrusttoOvercomeGateDifferential Pressure-ClosingandOpeningFnFyClosingOpeningHguxeRSGateEquilibrium UnderhPLoadDuringClosing/Opening F-pF(Eq.2,5)wherep=coefficient offrictionbetweenseatanddiscFpdiscpressureloadduetoupstream/downstream differential
| |
| : pressure, lb=hPx(effective seatarea)AsshowninSectionA.2.1ofAppendixA,thefollowing equationappliestobothclosingandopenihgstemthruststoovercomegatefrictional forceduetohPload; (l4
| |
| ('iQ.i-ayoo~l20Ihw4-~~~~2.2.2.Stem7VedgingLoad-ClosingThestemwedgingloadforaparallelexpanding gatevalveisshowninSectionA.2.2ofAppendixAtobegivenby:sill6+pcos6Fsp+cos6-p'sin 6(Eq.2.6)XFpFigure2.7GateEquilibrium UnderWedgingLoadDuringClosingwhere6Fncoefficient offrictionbetweenseatanddisccoefficient offrictionbetweenwedgefacesparallelgatetotalwedgeangle,degnormalforcebetweengateandseatduetowedging,lbsThis,equationmakesallowance'or thefactthatthecoefficients offrictionattheseat-to-discinterface maybedifferent thanthatatthewedgeinterface.
| |
| Typically theseatfaceshaveafinersurfacefinishandareoverlaidwithStellitehard-facing, whereasthewedgefaceshavearoughersurfacefinishandarenothard-faced.
| |
| Ifthecoefficient offrictionattheseatfacesandthewedgefacesisassumedtobethesame,p'p,andthisequationreducestoFs=sin'61-li+2gcos6cos6-csin6Fn(Eq.2.6a)Equation2.6ashowsthatthestemloadisproportional totheseatcontactforce,Fn.2.2.3:StemUnwedgingLoad
| |
| -OpeningThestemunwedging loadtoovercometheseatcontactforce,Fn,foraparallelexpanding gatevalveisgivenby(reference SectionA.2.3,AppendixA):
| |
| 0
| |
| *a~kia.l-a~ia~S2c'l~s~+((pp'-1)sin8+(g+ll')cos6F(Eq.2.7)cos8~p'sin 6I'orp=p',thisequationreducesto:sin6p-1+2pcos6 F-Fncos6+psin6-(Eq.2.7a)Figure2.8GateEquiHbrium UnderUnwedging LoadDuringOpeningAsdiscussed inSection2.1.4,theseatcontactforceFntobeovercomeisdetermined byaddingthewedgingforcefromthepreviousclosingcycletotheresultant forcefromexternalpipingloadsanddifferential thermalexpansion loadsbetweenthebodyanddisc.42>.StemLoadsforParallelSlidingGateValves-ClosingandOpeningMostparallelslidinggatevalvesareequippedwithapreloading springtomaintainpropercontactandprovidealowpressuresealbetweenthediscandseats.AsshowninAppendixA,SectionA.3.1,therequiredstemthrusttoovercomedPandspringloadfrictioncanbeexpressed as:FI=2pF>>+pFp whereF>>=discspringload,lbF>=hPx(eFective seatarea),lbs(Eq.2.8)<s<nA~F~PDawn~wpaWllP~~p4FigureR9GateEquBibrium UnderhPLoadDuringClosing Egl.0 A>COtao>sa>S><')>>>>>>>a:VCSa>uuS>u>>CO5>OS>>t>o>Orb>OS>>rsOnsiment:Af,auunittangential bendingmoment;Q.~unitshearforce{forceperunitofc'Ircumferencial length);E~modulusofelasticity (force:unitarea:vsPoisson's ratio;y~temperature coefftcient ofexpansion
| |
| {unitstrainperdegree);a~outerradius;b~innerradiusforannular>te;t~platethickness; r~radiallocationofquantitybeingevaluated; r,~radiallocationofunitlineloadingorstartofadistributed load.F,FOandG>tof'>aretheseveralfunctions oftheradiallocationr.C>toCsareplateconstants dependent upontheratioaib.L,toL>>areloadingnstantsdependent upontheratioair,.Whenusedassubscripts, randtrefertoradialandtangential directions, respectively.
| |
| Whenusedasosc.a.b.andorefertoanevaluation ofthequantitysubscripted attheouteredge,inneredge,andtheposinonol'heloadingorstartof~I'oading.
| |
| respectively.
| |
| Whenusedasasubscript, rreferstoanevaluation ofthequantitysubscripted
| |
| 'atthecenteroftheplate.f'(llsareasar>cia(ed withtheseveralquantities inthefollowing manner:Deflections vandvoarepositiveupward:slopes()2nd84arepositivecneflectio>>
| |
| lincreases positively asrincreases; moments/)f~Ill>.>>mlIfarepositivewhencreatingcompression onthetopsurface;andthesrforceQisp>sitivewhenactingupwardontheinneredgeofagivenannularsectionBc>>di>>gs(recsescanbefoundfromthemoments/IfrandAfrbytheexpreani>>r>
| |
| o=6M/t2.TheplateconstantD=Etal)2{)-r).Thesingularity ictionbrackets()indicatethattheexpression contained withinthebracketsmustbeequatedtoserounlessr)ro,afterwhichtheyareuestedanyotherbrackets.
| |
| NotethatQa,Q,M,andMarereactions, notloads.Theyexistonlywhennecessary edgerestraints areprovided.
| |
| rralPl>>rfssn<2inandGonuan>>(orSolidandAnnularCircularPla>caulOOcn<n0(>>>00>>>>nrb>Irtrb>>=--I.-+-p--jLbrj.-,''-(-'.)'("
| |
| *'-')]=.([()']'"'()Ifbrl=-I(l+rl-+(I-r)-j2bJ=-'.[-(-:)']=-'[(-')'-i+li.-,']IIrbK=-(I-r)---2Lb.J=2[I++ll->(-)]=-',I-""'-'.''."t'-H'9I+rbrI-~I~biIn+2rb4Lb~Jn--.'['-(-.')
| |
| ("*'-;)]--:.([(-.')'"]
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| -:.(-.')'-)IfbrlC>>u[(I+r)+(Ir)2~bJn--,'[-(-.')']2,=-'[(-')'i+is-']C,-'(I-a)(-'--)2.--,'!+.+<i-.>(-')]n--.'{-"."-:--','[-(-.')'])
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| h)I's'tAQOOQgC)h+4~k,b,a~+
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| CPvq~Q'{af{-frsorIrjrrl'In-r-{-~)~rrIr,r2I=I-(-')(Io21-)]'-([(-")'")'-'.
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| (-")*-)IfrlLs=[(I+rI+(IrlJ2[rro2i[I(')]2i,=-;[(-')-i+Ii.-']ICin(I-rsi2rs~ta=-[In.>+(I-r)(-'J2l'.=-{-"'"--'"['-(-")'))
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| =-'.('(-")-(-)-(-)[*.(-)]"-;,}(r,(il-225--155(')225!(')I4AOO(rro){+si(-")'[s(-")+io]o-'}42rr(25-l25+225{-')-25()-"(-)-"(-)'["(-)'1"-:)
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| [(rlr]C,-f(.)-)+2)l(,,)4I2w-(I-r2)J(rr)2Ca>u-[I+~+(I-4)(-')J(rr)42[n--"{-".''-'.-'.'[-(-")']}<
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| 0.00080.00$5O.oos70.0I0I0.050002250-nnnnI0IIIII2nnntl4IutIs4tlttnIItnvII'SnT
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| XQ4Fctnlttt)od lorfldtcltctl(af gt(4tloooftcdcott(If~laooo(Cctctgltl~)
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| ~%~'~C~c7/~~)F.C5~f.C+Dulceedgef(ee.InneredgeNmpl)wpponedpsaoA(maoA(maoQao-rsrCadsa(e-r)LttDC,LgrbQa(rsrs)2bofrpadscC+Q-Ca--Lttpnr2rs8=>CCC+4-Cs--LtsDDCelenoCdseIC%l(klhl (ulccedgegu(dr(l.Ih(ulrdgcps0dsa0dsss0Qa0I-rstCsInC[gb~(tfa-(cr)LtsI.coQa-(r-rs)02br2IIpsaSfn-Cs+Q-Cs--L>>DDDIAfn=Africa+()seCe-rsLtt(lfrab(undonnloadovercouteptuc).blrO.l"030.50.70.9E~O.OS4$A~-0.7892Ecl0.11460.01250.00500.2978-0.11840.07670.04070.00040.0$$90II(IS<I0.01490.00167Ifrsab(uniformloadoresenticep4cc).EEcEsEu0.11150.1158 00826-0.05780.00510.140008025O.ld760.1540-0.0$150.10820.14040.14790.11880.04981.27540.6146-03414-0.17420.0521blrO,l090.50.70.909OenKtnca(ulccedgefree.Inneredgefised,r'tsad8aOAfaOqaO-rfcs-I-(r-,2-a]CaLgabQa(crs)2brsAf-Cs+Qa-Cs--L>>~(spDD~rsdsaSf+-Ca+6-Cs--Lss*DDDblrO.l030.$EEsEu-0.0757-O.O868-OSI5450.0$1dr0.00860.05120.0207OAIOS-0.1756lflsb(unlbllnbadneerCluuep4IC)i-0.00110.00460.05410.000170.005SO0.70.9lulsrpbteIricbndistributed pcessunt-0~oaCslcnoedgereattain(I ecuasuu6bnear(7fieunaeroatrsto5ntrCcnccalcaprcslions fordcfonoaions, aoacncs.andsbcatar2rarer-r,PaPs+V'i+dfm-Es+0-Ea-9-'CtsDDr-rrrsrar~adape+/gmEs+Q-fe-,9-CDD'~rsDp>>rsAf,ad;z,+df~,+q;r,-d 2-'cr~ta~D(l-as)N,+((rTrD8ee---(<+-h.<+0<'-'>'r(r
| |
| -rJ~~~Fortbcunacriea) dacegnenbcb(nr,raOdeaE-~peaOutcfedgeNulpllsupponc(L
| |
| ~nncledgekecpladsa(I,a0Qaop,aoCL-LtsDCIr'(CILCL)AfmadManpapsMaxAfaPfl~lfrsab(lincsclp btseabgbadflossbIo~).blrO.IOd0.$0.70.9EsEsEEuO.OS17O.OS060.02SI0.01140.00150.04820.04700.04540$)$58O.0ldl0.01860.04Id0.04850.0595 0.01660.15900.1259OA)8790.05140.01dd<a-(ar-rsr-res) 0UICfCdgCNnlpll'lppolt CILlnnclcdgcguidedro)PsaoQaopsad-r'CCLIC.Ila\LI2)nLC,rsLI~AfnaCsCsg(Csgls4Qa-(Sos-rcrrs)drAfmaoblrEA'Ey0.1OD0.50025900lSS-000410.04540.02860.01260.12800.08470.0447MassapeMasbfssbfmlfrsab(linear)7
| |
| 'uurcw'ng bsd(nunbto~),0.70.00050.00510.01500.90.000010.000120.00171
| |
| .I TMLx25I)soarsfalacttossa forOatckcxatarptalaaolconatant%~0004+4-scft~f>QNerhmolf:
| |
| g>,p,andyarethedeflections atb,4,andrrespectively, causedbytransYelse shearstresses.
| |
| jl,E',andh.aredeflection coeflicients dcfinedbytherelationshipsg, aEga/f(rforanannularlineloadandp,aEgct/IGforalldistributed loading(SeeTable26forallothernotationandfortheloadingcasesreferenced) v-wC-S4-e~Csssoo.Iklc,11,9tb.fc.fl,10Sa.Sb.Sc.St,Iltt~<<>>RAgaIgIn6Y>>.ts<<.a<<>>-4~[1-(-')<<+21-)]ts$$-[$-$-"+(-")'($+$$-')]Tsbolsadtsiocsfotf$cc$6ccasssn.lh.$0.%n.rno~sV'A4OAInutso$CIIJs-4.'fSSS0.2050'.1210-0.0451-4.405$-O.lISS0.07760.04$0-0.0166-0.0019C04a,4b,44.4t,Ifli,lj.lb.II,[$-$$-"+$$(-")-(-")(!$$III-')]s<<>>aQa-Id-'n-''Var.6>0)ot.lc0.1OJ030.70$0.20.4,0.60.51.00.16540.66$40.1$$1Ysbsssof<<>>1.29010.49910.ISISIANaJ0.9416OASI24.12Sf-<<161IIA445O.SSI5OA2500.12640.06SS-0.04110.0ftSOANS44.00095a21.fj.ft.fl-0.50[1-(-")]I-"(N~6>0)t'---'"[-:-"(-)('-2"-")]ttfc0.1ODOS0.7OP0.1OD080.704O.IOJ-OANOO08995OANOOYatwsaf<<>>IAN45IAN9$OA494030.7242O.ff990.0000OPISIOA2090.19090.7-4.$9$$08$9$0.10$40.40440.66650320$0.1640OANI00.94.2$0$-4.1292-0.0674-0.02570.0040-OfS67n-O.ISIS-0.01220.0149-4.006ti,sj,SISl4I,4j,4b,411st<<>>aOW2--baspraas>0)~\~JJ[tsaSo<<>>a0.10(~)]b,';la~6>0)n$,'[$($-$-")s-'-~+$-"-(-")'($-~$-")]tiVsfa6>0)t,fcaO.I04OS0.708O.l04080.704tsfcLO.IOJ0$0.70.94444444$$$OANOOYabsaof~OA024O.lf77OANOO0.7949OA5$5OdIOIVabsaof~IL$$270~0.1$0$O.lOaOANOO0.2$$5OANOOVabsaof<<04517OAN940.0000O.I04OS0.7P.SI520.1$7$0.0$4$OANOO08$5$0.175$OAI9$7OAI~If0.94.1274OANST0.07410.0146-0.00000.12160.06194.0$aj4.0I57OAIO4fOAIIW0.09414AISTS0.0000v.oa0.0426O.ott90.049$0.00400.70.9cat+(-")'(IS-Itb-"))firer.s>0) 0.1OJ080.70.908791OA905OMTO044070.'I554OAN90O.f472O.ltstOAN5$OAIS120.05550.04600.02510.01f9-0.0021
| |
| | |
| (Enclosure 2consistsoftheDisposition toCalculation No.A10.1-AD-003, titled"Pressure LockingEvaluation ofMOVs."Enclosure 2has13pages,~~whicharenumberedfrom1to13) 0 TNAGARAVMOHAWKNUCLEARENGINEERING Peoe1INaxi)0'telLi(t'ti3uProject:NINEMILEPOINTNUCLEARSTATIONUnit(1,2or0=Both):~Discipline:
| |
| +<<~~(Sub)System(s)
| |
| ~mPIndexNo.Tilem~f.cos,Uac.'(I('eg l:-uKu-I('o~Wo<sCalcullttionNo.RevDispA,tOd'l-A5-OO~0tgIP,nginatorA,,q,ate/o~r~>>46c-~aM/rrAgCheckerDateKePS+Cfir VXe+JOlO/lrql/9ChangeNo.ApproverAe~Date"'-SafetyClass:(SR/NSR/QXX):
| |
| Superseded Document(s):
| |
| Q,om(NMPCAcceptance/Date Descnption ofChangehwpeetA'aw iw~(a'R~~+o~.~~~~"t~~~'>""+I~'f4%.waifC,N'%(44~~~d'1RI'2~Pw~on5'7A/Q,ie%he.P~y'E~~g~py~ogrgb44E.0ve/LA'ti (5h,Q,'@~V~c(./~8'~~P$&Ou&7Al8AIVtC~<Id(~Agr"hrR,ups)%De~$0~4+0Qld0~4th~ce.pr~a,s.pV+o-77A4Pg~s'IIX+~$o4+P~i4~isCw%dasrte~md+4P<+02."r~'l$cs444s.(iXd1pobd+I<7esolution l4,~X>ZI~~A,~~~~X(~+%~~ur.leC4W.hruS1'wf(v'~~g44K.44%o0e.4~~4I)~~>~~5"hOe5CVat>w44>gg,'ro,.i(
| |
| o>uaPCrossReference Changels):
| |
| tZ-eeW97-034onirmaoonequireeso:SeePage(s):inassuetatupieocationperations cceptance (APPIFIO/(/OII:
| |
| +Pi(Ca(outa(/oo/Heidi:+d(d Read(Yea(I/'IAI:
| |
| (dClEvaluation Number(s):
| |
| 2Og3T0-70%'hrU~CopyofApplicability ReviewAttached)
| |
| Yes29%9fCAL-pP<<ops),
| |
| Z5g+'oCÃ-V-4KeyWords:FooThrcg+/s(~ArWg2IIr9><<O7Component IDls)(AsshowninMEL):2.~Psmawa+A~gcgfgeWnVO(4-7~s~PvWoec'7Az~~p~wooc7n-+<T.ws~p+WD>4'7/3MMc/b-AG7((efaa0rSOSf0342lPage25NEP-DES-08 Rev04 0
| |
| NiagaraMohawkPowerCorporation NMP2NuctearEngineering Calculation Cont.SheetOriginator/Date Dno~'mQ~4Q~/cf/<~(>~Checker/Date gVttIJrq/R<Page2ott3Ato.t.AD%03, Rev.01Disp.01AValveIDno:";"<<VP'"'IQVt GAReuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pp.'=108ValveBonnetpressure(psig),Pbonn<<.=108
| |
| 'ownstream pressure(psig),Pdown0ValveDiskGeometry:
| |
| hubradius, b:=3.375meanseatradius, Ia.'=3.91averaaediskthickness,
| |
| ~anhublength,L:=0.125seatangle,a'.=106:=-6=0.0872180t:=0.48ValveDiskMaterialProperties:
| |
| modulusofelasticity, E'.=29400000 OtherValveParameters:
| |
| Poisson's Ratio,v.'=0.36rsr','2!r<.'/s.'.:..:2gie otValveFactorVF:=0.65ValveStemDiameter, Dstern.'=1.625StaticUnseating ThrustFpo9232(reference:
| |
| Test¹25,70/6/94)r'/eference:
| |
| N.":R-2'-Ot0)
| |
| CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,cos<6>1--sin(6)VFIt=0686treference Prte,up+downAverageDPAcrossDisk,DPavgPbonnet-'IE\DiskStiffnesConstants, D:=212I-vIIIwhichgives,D=2.97710 andgives,DPav<=54nndG:=E2(2+2I)G=1.131~10IbabbabGeometryFactors,C2'.=-I--1+2In-C3',=--+1In-+--I4ab4aaba1bC8:=-1+v+2a2C9'=--In-+-I--whichgives, C2=8.91910C3=3.96510C8=0.911C9=0.121COMEDPLEvaitjationlNPswp66aaa.mcd ValveID:2SWP'MOV66A page1 1t~,
| |
| NiagaraMohawkPowerCorporation NMP2NuctearEngineering Catctrlation Cont.SheetOriginator/Date
| |
| ~~1~aeA8~Xfflt~t~7Checker/Date
| |
| /dc'//elfvPage3oft'ttAto.t.AD4103, Rey,111Disp.01AAdditional Geometrt/Factors, rp'.=b2421000L11'=-1+4--5--464aaa2rpa2+-ln-arp1L174421-v'0'0a1--1----'+(1+v)ln-4aarpwhichgives,L11=1.37810andL17=8.641.10MomentFactors,2DPavgaC9fMrb'.=---(a-r0)-Lr7C82abQb'a-r0)2bwhichgives,M,b=-8.373andQb=31.18Deflection frompressure/bending, 4~=a'avgaybqŽrb'C2+QbC3-L11DDDwhichgives,ybq=-1.93710Deflection frompressure/shear,2arprpKsa'32'In1+'2'Ibab.2sa'vgasq'Gwhichgives,Ksa=-0.012andysq179610"Deflection frompressure/hubstretch,(2force''(a
| |
| -b)DPavgPforce'Lystretctt'abb2Ewhichgives,Pf=661.191andystre<ctt=-3.92810COMEDPLEvaluationlNPswp66aaa.mcd ValveID:2SWP'MOV66A page2
| |
| /0 NiagaraMohawkPowerCorporation NMP2NuclearEnginee ringCalculahon Cont.SheetOriginatorloate
| |
| 'Dc~>~>eQ~I~tW~fCheckedoate
| |
| ~+ii'><iqrt yvesPage4ofi3Ato.t.AD403.
| |
| Rev.01Disp.01ATotalDeflection duetopressure, Additional GeometerFactorsyq:=ybq+ysq+ystretchwhichgives,yq=-3.77110r.'=a0'pL3'.=-.4a22roaro+1ln-+--1aroap1+va1-vroL9'=--ln-+-.1--a2rp4awhichgives,L3=0andL9=0Deflection fromseatloadIbending,w.'=1aswC2rpC9p3y.b.=L9--+L3whichgives, C8bbybw=-L83S10Deflection fromseatload/shear, rprpKsa.'=-1.2In-aby'.=Ksawhichgives,atGKsa=-0.177ysw1'272'10Deflection fromseatloadIhubcompression, L,-2na2ycompr'bEwhichgives,ycompr=TotalDeflection fromunitseatload,yw:=ybw+ysw+'ycompr whichgives,yw=-3.12210whichgives,Equilibrium contactloaddistribution, yqwequilibrium
| |
| 'wLoadperseat=2na=296.797yqywequilibrium
| |
| =12.081PressureLockingForce,COMEDPLEvaluationlNPswp66aaa.mcd ValveID:2SWPMOV66Apage3
| |
| | |
| eNiagaraMohawkPowerCorporation NMP2NuclearEngineering Catoutaoon Cont.SheetOriginator/Date Q~<~~~lL,.~glrgtyqCheotterjoate gvgy/rg/ggPagesot+AlO.t-AD403.
| |
| Rev.01Disp.01AVqpreslock:=2na-'(it~os(8)-sin(8)).2 whichgives, Fp,eslock=354.165 YwPistonEffectForce,Pu'=0aun'n>>"pistoneffect''tem'(bonnetatmwhichgives,Fpistoneffect223.986'ReversePistonEffect'orce,
| |
| ,IFeen[n'.=e(2FOonnetnpOownj]ein(8)TotalForceReuiredtoOvercomePressureLockin,whichgives,Fvert452088FtotI:=Fpreslock+Fpo+Fvert-"pisto~effect whichgives,,Ftotal=9.81426710.ACTUATOFtCAPAGILlTYt ActuatorNodei/Slzet&fotorTorqueOutput:GearRatio:Application Factor:PulloutENciencyt ReducedVoltage:TorqueOufput:StemFactor;ThtustCapat3llityt
| |
| ~TQoutTHcap:=-SfTQout:=TQmRV OGRAfEff=8MB-00-1$
| |
| TQm'=14.74OGR:=41.0 Af:=0.9Eff:=0.4RV:=0.8838TQout=169.939Sf'=0.016407THcap=1.03610ft-Ibsft-IbslbsiVOTErRVlSSQUARE/FACTUATQRISAC.ENHANCEDPRESSURELQCKtNGNETHQDQLOGK KEI:='.20 ThrustMargin:=THcap-F>~.KEIThrustMargin=-1.41910lbsARyaotConclusion:
| |
| OpenThrustt0erginisnegative, therefore thisvalveandactuatorare-~44~overcomethetheoretical pressuretorkingconditions evaluated.
| |
| COMEDPLEvaluationINPswp66aaa.mcd ValveID:2SWP'MOV66A page4 0
| |
| NiagaraMohawkPowerCorporation NMP2NuclearEngineering Catculation Cont.SheetOriginator/Date 422~>~y~A~gtgg(qyChecker/Date af/r4/4oPagetc2otl3A10.1.AD403.
| |
| Rev.01Disp.01AValveIDno:282tV!'MOVE:~A Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPIJTS:DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pp.'=108ValveBonnetpressure(psig),Pbonnet108Downstream pressure(psig),Pdown0ValveDiskGeometry:
| |
| hubradius,b:=1.25hublength,L:=0.25meanseatradius,a'.=1.88averaaediskthickness, t:=0.626axseatangle,a'.=10e:=-e=0.0872180ValveDiskMaterialProperties:
| |
| modulusofelasticity, E:=29400000 OtherValveParameters:
| |
| ValveStemDiameter, Dstern.'=1.375ValveFactorVF.'=IPoisson's Ratio,v'.=0.3ejshair'Ipkij)ojetx'taticUnseating Thrust,Fpo'.=4056 (reference:
| |
| Test¹8,5/17/98)(je/erence:
| |
| NER-Bk0$0)CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,0cos(e)It:=--sin(e)1VFIt=1091treferee::eft3 AverageDPAcrossDisk,DiskStiffnesConstants, gives,nndG:=E2(1+v)up+downavg'onnet2Et121-vDPayg54whichgives,D=6.60510andG=1.13110GeometryFactors,C2.'=-I--1+2In-C3'.=--+IIn-+--I1ba,bbab4ab'4aaab2C8'.=-1+v+(I-v)~-2a2C9:=--In-+-I--whichgives,C2=0.049C8=0.805C3=5.09310C9=0.241COMEDPLEvaluationlNPswp67aaa.mcd ValveID:2SWP'MOV67A page1 II, NiagaraMohawkPowerCorporation NMP2NuctearEngineering Calcutation Cont.SheetOriginator/Date Q~,~~4~/VlyleapChecker/Date
| |
| 'IX4u]el~~Page'7otIPAt0.t-AD%03.
| |
| Rev.01Disp.01AAdd/'tionat Geometr3/
| |
| Factors,'p'.=b
| |
| ~I64242fprprpI+4--5--4-aaa2fp2y-In-arpIL17442.I-vP0aI+(I+v)In-4aarpwhichgives, L11=4.48110 andMomentFactors,2DPavgaC9lM~b'.=---(a-r0)-L~rcg2abL17=0.046ob:=-'"'(*-0*)2bwhichgives,Mrb--13.186andQb42.593Deflection frompressure/bending, aaavgaybq:=MrbC2+QbC3-L11DDDwhichgives,yh=-1.75210Deflection frompressure/shear,2arprpKsa'.32In--1+-~I-2In-bab2sa'vgat.owhichgives,Ksa=-0.078andysq=-2.0910Deflection frompressure/hubstretch,l2orce''(a-b)DPavg-PforceLystretch'tb2Ewhichgives,Pforce334525andystretch=-2.89710COMEDPLEvaiuationlNPswp67aaa.mcd ValveID:2SWP'MOV67A page2 ll018lp NiagaraMohawkPowerCorporation NMP2NuclearEngineering Catcutabon Cont.SheetOriginaterlnate Qss~lW~g'~/+f<0IO)CheokerrDate gadN/err/WPage~ott3Ato.t.AD403.
| |
| Rev.0tDisp.OtATotalDeflection duetopressure, Additional GeometryFactorsyq'=ybq+ysq+ystretchhfchgivesyq=-4.13110rp.'=arpL3'.=-4a22roaro+1ln-+--1aroaroL9:=-.a2I+vaI-v0-ln-+-1--2rp4awhichgives,L3=0andL9=0Deflection fromseatloadIbending,we1awC2p9y'bwDC8brpC3Lg--+L3,evhichgivss bybw=-1.46510Deflection fromseatloadIshear,fprpKsa.'=-1.2ln-aby',=Ksawhichgives,atGKsa=-0.49ysw=-1.30110Deflection fromseatloadIhubcompression, L,-2na2ycompr'=nbEwhichgives,compr102310TotalDeflection fromunitseatload,yw:=ybw+ysw+ycompr whichgives,yw=-2.86810Equilibrium contactloaddistribution, wequilibrium
| |
| 'hichgivyqywyqLoadperseat=2na=170.165ywwequilibrium 14'406PressureLockingForce,COMEDPLEvaiuationlNPswp67aaa.mcd ValveID:2SWPMOV67Apage3 tl NiagaraMohawkPowerCorporation NMP2NuclearEngineering Calculation Cont.Sheetortginatorroate
| |
| %+>~'toA.~/~(ry(yqcheckerroate
| |
| ~/vJe/~/~~PageIof17At0.t-AD403.
| |
| Rev.OtDisp.ptAYqFIk'.=2tta(Itcos(e)-sin(e))
| |
| 2presocwwhichgives,FpreslockPistonEffectForce,P:=0aun2/pistoneffect''tem
| |
| '(bonnetatmwlIchgives,Fpistpneffect=160.368'ReversePistonEffect'orce, Fvert'.a~2Pbonnetupgownsin(e)whichgives,vert04TotalForceReuiredtoOvercomePressureLockin,Ftotal:=Fpreslock+Fpp+Fvert-Fpistpneffecwhichgives,Fto~=4.34047810ACTLrAWRCAPAGILITV'cfuetor IHodel/'ize:MotorTorqueOutput:GearRatio:Application Factor:PulloutEfficiency."
| |
| ReducedVoltage:TorqueOutput:8temFacfor:ThrustCapatv7ltrrr:
| |
| TQoutTHcap'.=-SfTQout:=TQmRVOGRAfEffft-lbsft-Ibs=SM8-000-5 TQm,'=5OGR:=57.0 Af:=0.9/Eff:=0.4RVl=0.8816TQout=79.743Sf:=0.014263 THcap=5.59110IbsItIOT'F;RtrIGSQUAREIFACTLIATOR ISAC.FWHAeCEOPRESSURELOCIr,'AVO urETHOaoLOOI" KEI:=1.20ThrustMargin'.=THcaP-FtotIKEIThrustMargin=382.299lbsConclusion:
| |
| OpenThrustNerainisPositive.
| |
| fherefore thisvalveandactuatorareIilrelyfoovercomethetheoretical pressurelockingconrIIBons evaluated.
| |
| COMEDPLEvaluationlNPswp67aaa.mcd ValveID:2SWP'MOV67A page4
| |
| | |
| NiagaraMohawkPowerCorporation NMP2NtrotearEngineering Catoulation Cont.Sheetohginalorloate Q~l~j'eAr~/Vlcglpfcheckerroate
| |
| +tIcrIre/r9/OrrPagelOol\gAt0.t.AD403.
| |
| Rev.01Disp.otAValveIDno:BSSVP>;"Ot/6TB Reuired0eninForceDeternmination underPressureLockinConditions COMEDMethodDESIGNINPUTS:DesignBasisConditions attimeofPressureLockingEvent:Upstreampressure(psig),Pp.'=10SValveBonnetpressure(psig),Pbonn<<.'=10SDownstream pressure(psig),Pdown0ValveDiskGeometry:
| |
| hubradius, b:=1.25meanseatradius, modulusofelasticity, E:=29400000 Poisson's Ratio,v'.=0.3OtherValveParameters:
| |
| a.'=1.88averaaediskthickness, t:=0.626arthublength,L:=0.25seatangle,ct'.=10e:=--e=0.0872180ValveDiskMaterialProperties:
| |
| eishtirdi:-'..;tngie aValveFactorVF.'=IValveStemDiameter, Dstcm.'=1.375 StaticUnseating Thrust,F~.'=2444 (reference:
| |
| Test¹13,5/26/9B)Ireference:
| |
| NER-2'-Ot0)
| |
| CALCULATIONS:
| |
| Coefficient offrictionbetweendiskandseat,p,.'=cos(e)I--sin(e)VFIt=1.091("eference
| |
| ="6;AverageDPAcrossDisk,DiskStiffnesConstants, gives,DPavg=54andG:=E2/1+v)up+downavg'onnet2Et12I-vwhichgives,D=6.60510andG=1.13110GeometryFactors,C2'.=-I--~I+2In-C3.'=--+Iln-+--IIba,bbab4ab'4aababCS:=-'+'+('-')
| |
| 2abI+vaI-vbC9'=--ln-+-I--a2b4awhichgives,C2=0.049C8=0.805C3=5.09310C9=0.241COMEDPLEvaluationlNPswp67baa.mcd ValveID:2SWP'MOV678 page1
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| NiagaraMohawkPowerCofgoration NMP2NooiearEngineering Caioulation ContSheeto'creereroarafcrreA~err(<+(rr ceeeerccegutevb~)~oPagetiof12hA10.1.AO403, Rev.01Disp.01AAdditional Geometry'actors, rp:-"bI642421'prpfp1~4--5--4aaa2fp2+-In-arpIL17442]yfpfpaI--I----I+(I+y)ln-4'at'pwhichgives,L11=4481.10'ndMomentFactors,L17=0.046Mfb:-"-2DPavgaC9~-.a-rp-L17C82'a'boh:=-'"'('-0')2bwhichgives,Mrb"13.186andQb=42593Deflection frompressureNending, 4a'avgaybq:=MrbC2+QbC3-L11D,DDwhichgives,ybq=-1.75210Deflection frompressureIshear,2arpfpK:=-0.32In--Iy-~I-2In-sa'b2Km'DPavgaysq'=whichgives,Ksa=-0.078andysq=-2.0910Deflection frompressure/hubstretch,force'ecerch'tb.2Ewhichgives.p=334.525andystretch=COMEDPLEvaluationlNPswp67baa.mcd ValveID:2SWP'MOV67B page2 hI0 NiagaraMohawkPowerCorporation NMP2NuctearEngineering Cahuiation Cont.SheetOttgnator/DateWsem>>qual
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| ~(tt,gg9itrpyChecker/Date pelr/19/gQPage12ot1gA10.1.AD403, Rev.01Disp.otATotalDeflection duetopressure, Additional GeometryFactorsyq'bq+ysq+ystretch whichgives,yq=-4.13110rp.'=aL3.'"--.4a22'oa'o+1ln-'+--1arpa1'L9'=-.a21+va1vrp-ln-+-1-2rp4awhichgives,L3=0andL9=0Deflection fromseatloadIbending,w.'=1swC3rccgr~C3ybw.=----Lg.-s.L3whichgives, DCsbbybw=-1.46510Deflection fromseatloadIshear,roroKsa.'=-1.2In-abIaysw'satGwhichgives,Ksa=-0.49ysw=-1.30110Deflection fromseatload/hubcompression, L2'tt'a2ycompr'tbEwhichgives,cpmr102310PTotalDeflection fromunitseatload,yw'bw+ysw+ycompr whichgives,yw2'868'10whichgives,Equilibrium contactloaddistribution, qyequilibrium
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| 'wyqLoadperseat=2tta=170.165ywequilibrium PressureLockingForce,COMEDPLEvaluatlonlNPswp67baa.rncd ValveID:2SWP'MOV67B page3
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| NiagaraMohawkPowerCorporation NMP2NuctearEngineering Calculation Cont.SheetOrtgtnatorlnate Qep~~g>4~4ljPbPChecker/Dale XV4Vlr~l~zPager9ofl3At0.t.AD403.
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| Rev.01Disp.otAFpreslock2rta-(p,cos(8)-sin(0))2YqWwhichgives,Fpreslock="PistonEffectForce,Pan:=02/ppistoneffect''tem
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| '(bonnetatmwhichgives,Fpistoneffect=160.368'ReversePistonEffect'orce, Fen'.=[ns(2pbonnetnp-psronss}]
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| sin(8),ITotalForceReuiredoOvercomePressureLockin,whichgives,Fert=104.517Ftotal:=Fpreslock+'po+Fvert-Fpistoneffecwhichgives,F<<~=2.728478 10ACTUATORCAPABILITYr ActuatorNodelISize:MotorTorrfueOutput;GearRatio:Application Factor:PulloutEfficiency:
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| ReducedVoltage:TorqueOutput;SternFactor:TluustCapBbflityr TQoutTHcap'.=-
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| SfTQout:=TQmRVOGRAfEff=Sl'f8-000-5 TQm'=5OGR:=57.0 Af'=0.9Eff:=0.4RV:=0.8825TQout=79.906Sf:=0.014263THcap=5.602103ft-lbsft-IbsIbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOC/CNGMETHODOLOGY:
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| ,KEI:>>1.20ThrustMargin'=THcap-Fto~KEIThrustMargin=2.32810lbsConclusion:
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| OpenThrustMarginlsposftivep therefore thisvalveandactuatorarelikelytoovercomethetheoretical pressurelockingconditions evaluated.
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| COMEDPLEvaluationlNPswp67baa.mcd ValveID:2SWP'MOV67B page4 I0N0}}
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