ML18026A417
ML18026A417 | |
Person / Time | |
---|---|
Site: | Susquehanna |
Issue date: | 03/13/1992 |
From: | KEISER H W PENNSYLVANIA POWER & LIGHT CO. |
To: | MILLER C L Office of Nuclear Reactor Regulation |
Shared Package | |
ML17157B098 | List: |
References | |
PLA-3745, TAC-M68613, TAC-M68614, NUDOCS 9203230281 | |
Download: ML18026A417 (34) | |
Text
.,ACCELERATED DISTRIBUTION DEMONST$A.TIONSYSTEMREGULA.YINFORMATION DISTRIBUTIO.
SYSTEM(RIDS),~'7ACCESSION NBR:9203230281 DOC.DATE:
92/03/13NOTARIZED:
NODOCKETFACIL:50-387 Susquehanna SteamElectricStation,Unit1,Pennsylva 0500038750-388Susquehanna SteamElectricStation,Unit2,Pennsylva 05000388AUTH.NAMEAUTHORAFFILIATION KEISERgH.W.
Pennsylvania Power&LightCo.RECIP.NAME REC1PIENT AFFILIATION MILLER.C.L.
ProjectDirectorate I-2R
SUBJECT:
ForwardsutilrevisedresponsetoStationBlackoutRuleperNRC920114SafetyEvaluation w/answers attachedtoallbutIoneNRCrecommendation.
QueryonCRinstrument cabinettemptobeanswerednolaterthan920501.D,DISTRIBUTION CODE:A050DCOPIESRECEIVED:LTR ENCLjSIZE:g5f~f$TITLE:ORSubmittal:
StationBlackout(USIA-44)10CFR50.63, MPAA-22/0500038705000388ADRECIPIENT IDCODE/NAME PD1-2PDINTERNAL:
ACRSNRRPD2-4PMTAMNRR/DST/SELB NRR/DST/SRXB8E EXTERNAL:
NRCPDRNOTES:COPIESLTTRENCL11111133111122RECIPIENT IDCODE/NAME RALEIGHiJ.
AEOD/DSP/TPAB NRR/DET/ESGB 8DNRRDST/PLB8D1GFILE01NSICCOPIESLTTRENCL111122331111DDNOTETOALL"RIDS"RECIPIENTS:
PLEASEHELPUSTOREDUCEWAS'ONTACT THEDOCUMENTCONTROLDESK.ROOMPl-37(EXT.20079)TOELIMINATE YOURNAMEFROMDISIRIBUTION LINISFORDOCUMENTS YOUDON'TNEED!ADDTOTALNUMBEROFCOPIESREQUIRED:
LTTR19ENCL19 Pennsylvania Power8LightCompanyTwoNorthNinthStreet~Allentown, PA18101-1179
~215/774-5151 HaroldW.KeiserSeniorVicePresident-Nuclear 215/774<194 NRl31992DirectorofNuclearReactorRegulation Attention:
Mr.C.L.Miller,ProjectDirectorProjectDirectorate I-2DivisionofReactorProjectsU.S.NuclearRegulatory Commission Washington, D.C.20555SUSQUEHANNA STEAMELECTRICSTATIONRESPONSETOSTATIONBLACKOUTSAFf"TYEVALUATION PLA-3745FILER41-2
Reference:
RESPONSETOTHESTATIONBLACKOUTRULEFORSUSQUEHANNA STEAMELECTRICSTATION,UNIT1AND2PACNOS.M68613ANDM68614)DatedJanuary14,1992.
DearMr.Miller:
ThisletterprovidesthePennsylvania Power&LightCompany(PP&L)revisedresponsetotheStationBlackout(SBO)Ruleasrequiredbythereferenced NRCSafetyEvaluation.
Thisresponse(attached) revisesdieselgenerator targetreliability to0.975basedonyourposition, andprovidestherequested justification tosupportPP&L'soriginalpositionthatSSESisonlyrequiredtocopewithaSBOeventfor4hours.However,itshouldbenotedthatathoroughevaluation wasundertaken toreviewthestaffsconcernsregarding theneedandabilityforSSEStocopefor8hours.Resultsofthisevaluation concluded SSEShasthecapability tocopefor8hoursandlongerifrequired.
Withtheexception ofafinaltechnical resolution toyourquestionregarding ControlRoominstrument cabinettemperatures, theattachment respondsinfulltoeachofyourrecommendations.
Ourresolution tothecabinettemperature concernwillbeforwarded toyounolaterthanMay1,1992.9203230281 920313PDRADOCK05000387PPDR FILER41-2PLA-3745Mr.C.L.MillerQuestions regarding thisrevisedresponseshouldbedirectedtoMr.A.K.Maronat(215)774-7852.
Verytrulyyours,H.W.KeiserAttachment cc:NRC3)ocnment:Control DeaR(original)
NRCRegionIMr.G.S.Barber,NRCSr.ResidentInspector
-SSESMr.J.J.Raleigh,NRCProjectManager-Rockville
~~q~,9203230281 ATTACHMENT TOPLA-3745I~NTRDUCTINTheStationBlackoutRule(10CFR50.63)wasinstituted in1988andrequiredlicensees toassesstheirabilitytocopewithastationblackout(SBO)ofaspecified duration.
In1989,PP&Lsubmitted theresultsofourcopingstudytotheNRC,concluding thatSusquehanna SES(SSES)mustbeabletocopewithastationblackoutfor4hoursandmaintainanEmergency DieselGenerator (EDG)reliability of0.975(97.5%).InFebruaryof1991,PP&LreviseditsEDGtargetreliability valuefrom0.975to0.95basedonaspraypondbypassvalvemodification.
OnJanuary14,1992,NRCissueditsSafetyEvaluation oftheSSESSBOsubmittal concluding thatSSESwasan8hourcopingplantrequiring EDGreliability bemaintained at0.975.Thefollowing isanitembyitemresponsetotherecommendations identified intheNRCSafetyEvaluation.
c-".STATION,::::>SL'ATCKOUT:;,::::DUR'ATION>".l tNRRKMMENDATION:
ThelicenseeneedstochangetheEDGreliability targetfrom0.95to0.975andthecopingdurationfrom4hoursto8hours.P~PRLRA)CopingDurationOneinputtothedetermination ofrequiredSBOcopingdurationisthe"returntime"ofextremely highwinds(>125 mph).Aspartofouroriginalcopingassessment, PP&Lcontracted withDames&MooreConsulting Engineers forthecalculation ofthis"returntime"forSSES.Dames&Mooredetermined thisvaluetobe-6.7E-4/yr.
(aboutoncein1500years)usingdataspecifictoSSES.Anyreturntimevaluelessthan1.OE-3/yr, coupledwithoursevereweatherandoff-sitepowerdesignclassification, placesSSESina4hourcopingcategory.
TheNRCevaluation didnotcredituseofsitespecificdataduetothisdatabeingapplicable forwindsat10metersofftheground,ratherthantherequiredassessment heightof30metersfromtheground(averagetransmission towerheight).Itwastherefore concluded, basedonNUMARCTable3.2,thatthereturntimeforSSESwasmorefrequentthanonceper1000yearsandthatSSESmustcopewithaSBOfor8hours,Page1
~)~~(
ATTACHMENT TOPLA-3745Toaddressthiscopingdurationconcern,PP&Linvestigated thebasisofTable3.2inNUMARC87-00andcontracted againwithDames&Mooretodetermine thereturntimeofwindspeedsat30meters.Conversations withbothNUMARCpersonnel andNRCstaffindicated thattheuseofsitespecificdataisacceptable.
TheNRCcautioned thattheuseofsuchdatashouldaccountforwindspeedsof125mphat30metersandconsiderNationalBureauofStandards (NBS)publications 118and124,aswellasseveralNationalOceanicandAtmospheric Administration (NOAA)documents.
Notethattheuseofsitespecificdataisencouraged inNUMARC87-00.NBS118providesamethodofscalingwindspeedstovariousheightsandprovidesmeasuredweatherdatafrom129meteorological stationsacrosstheUSmainland.
ItisthisdatawhichPP&LandDames&Moorebelieveprovidesthebestestimates ofwindspeedreturntimesatSSES.UsingthemethodofNBS118,the125mph"fastestmile"windspeedat30metersisscaledtoa"fastestmile"windspeedof107mphat10meters(thenormalized heightofallreportedweatherdata).Usingthedataformeteorological stationsclosesttoSSES,NBS118providesthefollowing "returntimes"forvariousfastestmilespeeds:FastestMileWindSpeed(mph)ReturnTimeears1,0005,00010,00050,000100,000500,0001,000,000 Scranton60.8667.3470.1276.5879.3685.8288.6095.0697.84Harrisburg 70.5780.4984.7594.6498.90108.79113.05122.95127.21Page2 ATTACHMENT TOPLA-3745Inaddition, Dames&Moorehavecalculated theprobability ofexceeding variouswindspeedswithin1000years,alsobasedonthedataandmethodsinapaperbyH.C.S.Thorn:
Probability ofExceedance in1000rsScrantonHarrisburg FastestMileWindSpeed(mph)0.5000.2500.1000.0500.0057275798292879299103117Fromthefirsttableabove,onecanseethatthereturntimeofawindspeedof107mphat10metersisexpectedtobegreaterthan1millionyearsatScrantonandalmost50,000yearsatHarrisburg.
Table2shows'that theprobability ofexceeding the107mphwindspeedwithin1000yearsislessthan1%atScrantonandabout3%atHarrisburg.
UsingthedatafromHarrisburg inTable1,theexpectedreturntimeofa125mphwindat30metersis-37,500years.PP&Lalso-reviewed NBS,124forapplicability.
NBS124reliesontheextrapolation ofcoastalweatherdatatoinferwindspeedsinland.Further,thismethodofextrapolation assumesintervening terraintobeopenandgrasscovered.SinceSSESislocatedwithinavalleyseparated fromthecoastbyapproximately 100milesofhillsandforest,theextrapolation ishighlyinaccurate.
Thus,PP&LviewsNBS124asvalidonlyforscopingcalculations andshouldonlybeusedintheabsenceofbettertechniques/data.
PP&Lconsiders thepreceding arguments anddatasufficient justification fornotusingTable3.2ofNUMARC87-00fordetermining ourESWcategory.
Further,thisdatashowsthatthereturntimeofwindsinexcessof125mphatSSESishighlylikelytobegreaterthan1000years.Thus,itisconcluded thattheESWcategoryof"2"originally reportedinourcopingstudyisfullyjustified (thedataactuallyjustifies anESWclassification of"1"),andthatSSESremainsa"Pl"plant(perNUMARC87-00)requiring aSBOcopingtimeof4hours.B)EDGTargetReliability In1991,PP&LinformedtheNRCthatforpurposesofcomplying withtheSBOruleourtargetEDGreliability wastobe0.95(95%).Inmakingthisdetermination, PP&Lreliedontheuseof"staggered operation" ofRHRpumpstocoolbothsuppression pools.Staggered operation isrequiredbecause,althoughinprinciple anytwoEDGscancoolbothunits,inactuality therearetwocombinations ofEDG's(AandC,orBandD)whichresultinonlyoneRHRpumpineachunitavailable toalternately coolthesuppression pools.Page3 i
eATTACHMENT TOPLA-3745TheNRCnotedthattheuseofstaggered operation didnotmeetthe"connectability criterion" andwasdetermined tobeanunacceptable increaseinoperatorburden.Thiscriterion wasexplained indocumentation providedbytheNRCtoNUMARCaftersubmittal oftheSSESSBOanalysis.
TheNRCconcluded thattoavoiduseofstaggered operation, 3ofthe4EDG'swouldberequired.
Further,theNRCnotedthatifonlydieselsAandBstart,nocontrolstructure HVACwouldbeavailable.
PP&Lhasperformed acalculation ofsteadystatecontrolroomtemperature usingthemethodinNUMARC87-00andassumingthatthemeasured, normalcontrolroomheatloadexists.Theresultofthiscalculation isthatthecontrolroomtemperature willnotriseabove111'FintheabsenceofnormalHVAC.Becausetemperature remainslessthan120'F,thecontrolstructure environment remainsacceptable.
Basedontheinability totakecreditforstaggered operation, PP&Lconcurswiththestaff'spositionin"requiring 3of4EDGsandthereliability targetvalueof0.975.:;::ST@'TIOÃ:;::'.SL'A'CEO'::,:,::COPINO.":..:.CAPASILITY::,::,::,'=:,',ll NRRECMMENDATIN'heNRCmadethefollowing fourrecommendations basedontheirpreviousdetermination thatPP&LhadtoaddresstheneedforSSEStocopewithan8hourStationBlackout.
1)Thelicenseeneedstoconformtoan8hourcopingdurationandincreasetheEDGreliability targetfrom0.95to0.975.2)Thelicenseeshouldprovideaprocedure torefilltheCSTfromtheRWSTduringanSBOevent.3)ThelicenseeshouldaddtheportableACgenerator tothelistofSBOequipment, provideprocedures foritsutilization, andapplytoitanappropriate QAprogram.Theportableacgenerator shouldmeetthecriteriainAppendixBofNUMARC87-00.Alsothelicenseeshouldreplacebattery1D650withahighercapacitybatteryorprovidechargingcapability totheexistingbatterytoextenditssupportforthe8hourSBOduration, andrecoverythereafter.
Thelicenseeshouldincludealltheanalysesandrelatedinformation insupporting documentation thatistobemaintained bythelicenseeforpossiblestaffreview.4)Thelicenseeshouldprovideforstaffreviewafulldescription, including thenatureandobjectives ofanymodification required.
Theanalysesandrelatedinformation shouldalsobeincludedinthesupporting documentation thatistobemaintained bythelicenseeinsupportoftheSBOsubmittals.
Page4 Slipl(ii0
~RP~PLRNR'2RATTACHMENT TOPLA-3745Asaddressed intheinitialsectionofthisresponse, PP&Lconcludes thatSSESmustcopewithaSBOeventfor4hours.Thisconclusion issupported by.theuseofsitespecificweatherdata(attherequiredassessment height).AsfortheEDGreliability targetvalue,PP&LhasreviewedtheNRCconcernsandhasconcurred withthestaff'sfindingthattheconfiguration ofSSESmandatesanEDGreliability targetvalueof0.975.Thisreliability valuehasbeenincludedintheEDGReliability Programdeveloped inaccordance withNUMARC87-00AppendixD.PP&Lhasthoroughly evaluated theabilityofSSEStocope8hourswithanSBOevent,including allareasofconcernidentified intheNRCSafetyEvaluation.
PP&Lisconfident thatSSEShastheabilitytocopefor8hoursandlongerifrequired.
SincePP&Lhasdemonstrated thatSSESisa4hourcopingplantthisinformation willnotbeprovidedinsupportofourrevisedsubmittal, butisavailable forreview.';"':;EFFECTS::.".,"OF.,:,:LOSS:;OF..'",VENTILh;TION~:;i NRRECMMENDATIThelicenseeshould:I)provideadditional information and/ortechnical justification fortheinitialconditions andassumptions usedintheheat-upanalysisforeachareaofconcern,2)withregardtoCOTTAPcomputercode,providedetailedinformation toaddressthestaff'sconcernsasidentified above,and3)re-perform theheat-upanalysisforeachareaofconcernandforan8hourcopingdurationtakingintoaccountthenon-conservatism asidentified intheSAICTER.P~PRLRNR-CCPPAP2C1TheuseoftheCompartment Temperature Transient AnalysisProgram(COITAP)computercodehasbeenpresented tothestaffaspartofoursubmittals toresolvesteamleakdetection Technical Specification changes.Attachment Acontainsauser'smanualfortheCOTTAPcomputercodeandacopyofarecentpaperpublished inNuclearTechnology whichdescribes themethodology usedintheCOTI'APprogramandpresentssomeoftheverification calculations whichhavebeenperformed.
Theuser'smanualpresentssomeofthecalculations whichwereperformed againstproblemsthathaveexactanalytical solutions.
Thereferredpaperpresentsthemethodology alongwithcalculations whichhavebeenbenchmarked againstcalculations performed withtheCONTAINcomputerprogram.Inaddition, theprogramandcomputation packagehavebeenindependently reviewedbyGilbertAssociates.
PP&Lalsomaintains aQualityAssurance file/package fortheCOTTAPcomputercode.APage5
~tof ATTACHMPIT TOPLA-3745Intheoriginalcopingassessment, twobasicCOTTAP2calculations wereperformed:
anassessment ofDominantAreasofConcern(DACs);andanevaluation ofcontrolroomcabinets.
ForBWRs,theDACsaretheHPCIandRCICrooms,andthemainsteamtunnel(NUMARC87-00).Themainsteamtunnelisconsidered because,apparently atsomeplants,HPCIandRCICareisolatedonhightemperature inthetunnel.AtSSES,theHPCVRCICisolations donotcomefrommainsteamtunneltemperature butfromsensorslocatedonthe683footelevation ofthereactorbuildingcommontobothHPCIandRCICpiping.DuringSBO,onlytheRCICisolation logicispowered.Thus,forSSES,themainsteamtunnelisnotatrueDAC.Thecommonpipingarea,calledtheRHRpipingareainthecalculation, isaDAC.PP&Lrecalculated theDACtemperatures usingCO1TAP2and"conservative" inputs.Inputsincludeduseof"maximumnormal"roomtemperatures pertheFSAR.Outsideairtemperature wasassumedtobeaconstant95'F.Theinfluence.
ofhotpiping(including fluedheads)wasaddedtotheHPCI,RCIC,RHRpipingarea,andthemainsteamtunnel.(TheabsenceofthishotpipeloadingcausedthecooldownofthemainsteamtunnelnotedintheSAICTechnical Evaluation Report).Noengineering reference foracon'crete thermal'conductivity of0.7couldbefound.However,thisvaluewaschangedfrom1.0to0.7,pertheTER.Theactualinputdeck,andthejustification forallinputvaluesused,appearsinthedetailedcalculation.
TheresultsoftheCOTTAP2calculations arepresented inthetablesbelow.OriginalSubmittal:
Temperature
('F)NewCalculation:
ROOM8hours72hours8hours72hoursHPCIRCICRHRPipingMSTunnel113118123114117117114107125150119130171FromTable3,thetemperatures oftheDACsremainlessthanthe180'Foperability limit,evenat72hours.Theinclusion ofthehotpipe.loadsdoescause,significant increases intunneltemperatures.
Page6 0ATTACHMENT TOPLA-3745Temperature
('F)ROOMRHRPipingMSTunnelCOTTAP2at72hours130171NUMARC87-00176Table4presentsacomparison ofthetwohottestDACtemperatures ascalculated bybothCOTTAP2andthemethodofNUMARC87-00.WhileitappearsthattheNUMARCmethodproduces"conservative" results,itmustbenotedthattheNUMARCcalculation producesasteadystate,infinitetimeresult.TheCOTTAP2resultsarenotsteadystatebuttimedependent, andat72hoursthetemperatures intheseroomsarestillincreasing.
Atlongerandlongertimes,onewouldexpectbetteragreement betweenthetwomethods.Theresultsoftheabovetableshowthattheagreement betweenthetwomethodsisquitegood.TheTERmadereference to"oscillatory" temperature profiles.
ReviewoftheoriginalCOTI'AP2workrevealednosuchprofiles.
Thereviewers maybereferring totemperature profileswhichpeakanddropintheshortterm,thencontinuealongtermtemperature rise(Figure1).ThelargeearlypeakiscausedbyACmotorheatloadswhichdecayaway.Atlatertimes,theroomisheatedbysurrounding walls.Thisresultisconsistent withexpectedbehavior.
Thereviewers questioned PP&L'suseofCOTTAP2forcalculation ofinstrument cabinettemperatures andseveralassumptions usedinthesecalculations.
TheoriginalimpetusforusingCORI'AP2tocalculate cabinettemperatures wasthedesiretoavoidopeningcontrolstructure cabinetdoorsandnotimposeunnecessary operatorburden.PP&LconcurswiththeNRCthatmodifications areneededtotwoassumptions usedinthecabinettemperature calculations.
TheNRCquestioned ouruseof120'Fasthecontrolroomtemperature, implyingsuchatemperature wasoverlyconservative.
Inresponse, theinfinitetimecontrolroomtemperature, assumingmeasurednormaloperating heatloads,hasbeencalculated usingthemethodofNUMARC87-00.Theresulting controlroomtemperature is111'F.TheTERquestioned useof180'Fastheoperability limitofcontrolroominstruments.
Basedoninformation receivedfromequipment manufacturers, wecurrently believethecorrectlimitis140'F,andareperforming areevaluation onthisbasis.Thisevaluation willbecompleted andsubmitted totheNRCnolaterthenMay1,1992,Page7
<r ATTACHMENT TOPLA-3745';:;CONTAPC41i22lT,!ISOLATION','R REMMENDATION'helicenseeshouldlistthevalvesidentified inanappropriate procedure andidentifytheactionsnecessary toensurethatthesevalvescanbefullyclosed,ifcontainment isolation isrequiredduringanSBOevent.Thevalveclosureshouldbeconfirmed bypositionindication (local,mechanical, remote,processinformation, etc.)P&LRThepenetrations whichhavebeenidentified bytheNRCasrequiring tobeproceduralized aretheResidualHeatRemoval(RHR)andCoreSpray(CS)suctionlinesalongwiththeContainment Sprayline.Containment isolation oftheselineshasbeenaddressed andapprovedbytheNRCpriortothissubmittal.
Thefollowing identifies thatapprovedapproach.
Susquehanna SESFSARsection6.2.4.3.6 statesinpartthat"Containment isolation provisions forcertainlinesinengineered safetyfeatureorengineered safetyfeature-related systemsmayconsistofasingleisolation valveoutsidecontainment.
Asingleisolation valveisconsidered acceptable ifitcanbeshownthatthesystemreliability isgreaterwithonlyoneisolation valveintheline,thesystemisclosedoutsidecontainment, andasingleactivefailurecanbeaccommodated withonlyoneisolation valveintheline."Additionally, section6.2.4.3.6.3 states,"Although strictlyspeakingtheHPCI,RCIC,CS,andRHRpumpsuctionlinesdonotconnectdirectlytotheprimarycontainment, theyarenevertheless evaluated to10CFR50AppendixA,GeneralDesignCriteria56.Theselinesareeachprovidedwithoneremotemanuallymotoroperatedgatevalveexternaltothecontainment andusetherespective pipingsystemsasthesecondisolation, barrier..
FortheRHRandCSvalvesthehandswitchesarekeylocked".Furtherinvestigation intothisissuerevealsthatsection6.2.4oftheNRCSafetyEvaluation Report(NUREG0776)forSusquehanna SSESdocuments theNRCapprovalofmeetingthealternative acceptance criteriaspecified insection6.2.4oftheStandardReviewPlan.Thissectionsummarizes thesealternative acceptance criteriaalongwithspecifically identifying thelinesfoundacceptable viathismethod.Basedontheaboveexplanation webelievethatcontainment isolation isestablished andcontainment integrity willbemaintained.
Page8 tg~04'L ATTACHMENT TOPLA-3745:1'R'O.CEDURFS.:;::lANDl, TRAXNING,',
REMMEATIThestaffexpectsthelicenseetoimplement theappropriate trainingtoassureaneffective responsetoanSBOevent.PP&LRNEAppropriate plantpersonnel willbetrainedonanyneworrevisedprocedures inaccordance withtherequirements ofInitiative 2,NUMARC87-00andReg.Guide 1.155,section3.4.'-;:QUALITY>'A'SSUR'A'NCE'"'.AND;:::TECHggCAL"'-::,SPECIPICATION~):'R REMMEATIThestaffexpectsthattheplantprocedures willreflecttheappropriate testingandsurveillance requirements toensuretheoperability ofthenecessary SBOequipment,
'P&L'f4ItisPP&LsintenttosatisfytheQualityAssurance (QA)requirements ofReg.Guide1.155byupgrading anexistingprocedure toincorporate StationBlackout.
Thisprocedure addresses alltheReg.GuideQArequirements andwillrequirethenecessary Inspections andTeststobeperformed inaccorda'nce withtheOperational QualityAssurance Program.::-;ED6'!RELIA'SILIIYiPRO GRAM::::..":
NRRKMMENDATIN'helicenseeshouldcompletetheimplementation ofanEDGreliability programwhichmeetstheguidanceofRG1.155,Section1.2andprovideascheduleforitscompletion.
Confirmation thatsuchaprogramisinplaceorwillbeimplemented shouldbeincludedinthedocumentation supporting theSBOsubmittals thatistobemaintained bythelicensee.
Page9 00'I0 ATTACHMENT TOPLA-3745PP&LRReg.Guide1.155specifies thateachutilityestablish anEDGperformance monitoring program.NUMARC87-00AppendixDcontainsguidanceforthedevelopment andimplementation ofsuchaprogram.PP&Lhascommitted toimplement aprogramofreliability monitoring and,asindicated above,PP&LmustmaintainanEDGreliability atorabove97.5%aspartofourSBOcopingstrategy.
TheReg.GuideandNUMARCprovide"triggervalues"fordetermining compliance withtargetreliability.
NRCreviewers indicated thatlackofthisdatainoursubmittal hinderedassessment ofSSESEDGreliability.
Atthe97.5%reliability level,compliance isassumedifthefailurestostart/load arelessthanorequalto3,4,and5outofthelast20,50and100startattempts, respectively.
Asof2/10/92thefailurestostart/load ineachcategorywere0,0,and3,respectively.
Thus,today,PP&Lcanaccepttheincreased reliability targetof97.5%.PP&L'sEmergency DieselGenerator reliability monitoring programhasbeendeveloped anddocumented inNuclearDepartment Administrative Procedure-QA-0401 entitled"Emergency DieselGenerator Monitoring Program."
Thisprocedure complieswiththereliability requirements delineated inAppendixDofNUMARC87-00,Rev.1.Reliability willbemonitored againstasetof"triggervalues"withactionsspecified forvariouslevelsoftriggervalueexceedance.
Page10 l~rvO.d4 ROOMTEMPERATURE RESPONSETOASTATIONBLACKOUT200180160140~I-120I-1008010203040TIME(HRS)50607080LegendgHVACEQUIPRM0EXHfANRM~HVACEQUIPRM0HVACEQUIPRM6RECIRCPLENUM COTTAP:ACOMPUTERCODEFORSIMULATION OFTHERMALTRANSIENTS INSECONDARY CONTAINMENTS OFBOILINGWATERREACTORS~~~"7MARKA.CHAIKOandMICHAELJ.MURPHYPennsylvania Power&LightCompany,Allentown, Pennsylvania 18101ReceivedDecemberI,1989AcceptedforPublication September 12,1990TheCompartment Transient Temperature AnalysisProgram(COTTAP)wasdeveloped bythePennsylva-niaPower&LightCompanyforpostaccident boilingwater'reactor (BWR)secondary containment thermalanalysis.
Thecodemakesuseofpreviously developed implicittemporalintegration methodsandsparsema-trixinversion techniques toallowmodelingofanen-tireBWRsecondary containment.
Investigations weremadewithamodelconsisting of121compartments and767heat-conducting slabs.Thesimulation pre-sentedinvolvesthenumerical integration of20101or-dinarydifferential equations overa30-hsimulation period.TwohoursofCPUtimewererequiredtocarryoutthecalculation onanIBM3090computer.
TheCOTTAPcodeconsiders naturalconvection andradi-ationheattransferbetweencompartment airandwalls'hroughadetailedflnite difference solutionoftheslabconduction equations.
Heatadditionfromhotpipingandoperating equipment, andcoolingeffectsassociated withventilation flowsandcompartment heatremovalunitsarealsoincluded.
Additional capabilities ofCOTTAPincludemodelingofcompartment heatupre-sultingfromsteamline breaksandsimulation ofnat-uralcirculation coolingincompartments withflowpathsatdiffering elevations.
I.INTRODUCTION Underpostaccident conditions, boilingwaterreac-tor(BWR)secondary containment ventilation systemstypically isolatetopreventfissionproductreleasetotheenvironment.
Sincecooledairisnolongercircu-latedthroughthesecondary containment, increased compartment temperatures result.Predictions ofpost-accidentcompartment temperatures arenecessary todetermine whethersafety-related equipment issub-jectedtotemperatures that'exceed itsmaximumdesignvalues.Safety-related equipment mustbeoperableun-derpostaccident conditions inordertoeffectthesafeshutdownofthereactor.Afteranaccident, thesecondary containment ventilation systemoperatesinarecirculation modetopromoteairmixingbetweencompartments andtodilutelocallyconcentrated radioactive isotopes.
Originaldesigncalculations forPennsylvania Power&LightCompany's (PP&L)Susquehanna SteamElectricStation(SSES)assumedthatairrecircula-tionprovidedenoughmixingtoproduceafairlyuniformtemperature distribution throughout allsec-ondarycontainment compartments.
Forthisreason,asingle-compartment transient.
modelwasusedinthesimulation ofpostaccident conditions.
Recentinvesti-gationsbasedonsteady-state calculations haveshown,however,thatsignificant temperature variations canexistbetweencompartments.
Thesetemperature variations werelargeenoughtopromptadetailedNUCLEARTECHNOLOGY VOL.94APR.199l ChaikoandMurphyPOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSISmulticompartment transient analysisofthesecondary containment.
Toreanalyze thepostaccident transient behavioroftheSSESsecondary containment, PP&Ldeveloped theCompartment Transient Temperature AnalysisPro-gram(COTTAP).
Development ofthisprogrambeganafteranevaluation ofavailable codesrevealedthatnonewerecapableofperforming asufficiently detailedsimulation owingtothelargenumberofheat-conduct-ingstructures foundintheSSESsecondary contain-ment.Forexample,theCONTEMPTcode,'hich isprobablythemostwidelyusedcontainment analysisprogram,canmodelasmanyas999compartments butislimitedto99heat-conducting slabs.Incontrast, COTTAPcanmodelupto1200heat-conducting slabsand300compartments.
Italsocontainsmodelsthatdescribeheatdissipation fromoperating electrical equipment andprocesspiping.ACOTTAPmodeloftheSSES-1and-2secondary containment structures consistsof-120compartments and800heat-conduct-ingslabs.TheCONTAINcode2isamorerecentlydeveloped containment simulation programwithcomplexmod-elingcapabilities.
Itis,however,designedspecifically forprimarycontainment simulation andisnotwellsuitedforsecondary containment modelingbecauseithasnoprovisions forenergyinputtocompartments fromheatloadssuchaselectrical panels,lighting, mo-tors,andhotpiping.Adescription oftheCOTTAPcode,including as-sumptions, governing equations, numerical solutionmethods,andcodelimitations isgiveninSec.II.Rep-resentative resultsoftheSSES-1and-2secondary con-tainmentanalysisarepresented inSec.III,andcodeverification isdiscussed inSec.IV.II.DESCRIPTION OFTHECOTTAPCODEII,A.Compartment MassandEnergyBalancesTheCOTTAPcodeallowsforairandwatervapormasstransferbetweencompartments bymeansofforcedventilation, leakage,andnatural,circulation flows.Aforcedventilation flowmodeldescribes heat-ing/ventilating/air conditioning systems,andaleakagemodelsimulates intercompartment flowsthathregen-eratedbypressuredifferentials.
Inaddition, anaturalcirculation modelsimulates gravity4riven flowsbetweencompartments connected byflowpathsatdiffering elevations.
Steamcanalsobeaddedtoacompart-mentasaresultofpipebreaksorremovedthroughcondensation andrain-out.
Airandwatervapormassconservation equations foracompartment withNventilation paths,NIleakagepaths,andN,naturalcir-culationpathsaregivenbyHNcVgWojYoj+gWgYIJ+gWoj(Y<jY)J-1j~ijmianddpIvuJvlV-"=gWj(1-Y,j)+gWg(1-YIJ)dljaijaiH~+gWy(Y-Ycj)+W~-Woold-Wlo>j=l(2)whereV=compartment volume(m3)t=time(s)pp=compartment airandwatervapordensities, respectively (kg/m3)WJWIJWj-massflowratesassociated withj'thventilation, leakage,andcir-culationpaths,respectively (kg/s)Y=massfractionofairwithincom-partmentYj,YIJ--airmassfractions indonorcom-partments forventilation pathjandleakagepathj,respectively Y~--massfractionofairinadjoining compartment associated withcir-.culationpathjWq,=rateofsteamadditionduetopipebreaks(kg/s)Wd=steamcondensation rate(kg/s)W=rain-outrate(kg/s).ThevaluesWjandWljarepositiveforflowintothecompartment andnegativeforflowoutofthecom-partment, whereasthecirculation rateWjisalwaysapositivequantity.
Ventilation pathsaredescribed by'heirassociated massflowratesandidentification numbersofsourceandreceiving compartments.
Ven-tilationflowscanbetrippedofforonatanytimedur-ingatransient bysupplying appropriate trip-logic data.Leakage,circulation, andpipebreakmodelsaredis-cussedinSec.II.Calongwithotherspecialpurposemodels.Informulating thecompartment energybalance,itisassumedthatairbehavesasanidealgas.Moreover,-'or thetransients ofinterest, partialpressures ofwa-tervaporaretypically (Iatm.Therefore, itisassumedthatthesteamspecificenthalpydependsonlyontem-perature, i.e.,thevaporenthalpyisequaltotheen-thalpyofsaturated steamatthetemperature ofthe.gasmixture.Thepartialpressureofwatervaporwithinacompartment iscomputedfromtheidealgasequationofstate,andthetotalcompartment pressureiscalcu-latedasthesumoftheairandwatervaporpartialpressures.
Withtheseassumptions, thecompartment energybalancebecomesNUCLEARTECHNOLOGY VOL.94APR.1991 Pb,k=totalcompartment pressureifpipecontainssaturated liquid(Pa)Pb<<ak=pipefluidpressureifpipecontainssaturated steam(Pa)hg(Pb,k)
=specificenthalpyofsaturated watervaporatpressurePb,k(J/kg)hi(T)=specificenthalpyofsaturated liquidwaterattemperature T(J/kg)TJ,T>--donorcompartment temperatures forventilation pathjandleakagepathj;respectively (K)TJ--temperature inadjoining compart-mentassociated withcirculation pathj(K).Compartment heatloadsfromlighting, electrical pan-els,motors,andmiscellaneous equipment aremain-tainedconstantunlesstheyaretrippedon,off,orexponentially decayedduringthetransient.
Hotpipingandroomcoolerloadsvarywithcompartment temper-atureandcanalsobetrippedonoroff.Inaddition, hotpipingheatloadscanbeexponentially decayedusingtheheatloaddecaymodeldiscussed inSec.(3)II.C.7.+(1-Yy)hg(T))
-(1-Y)hg(T)],whereChaikoandMurphyPOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSISVPaT+PaCpa(T)dhg(T)dT+P>rdTdr=-VTC(T)--Vh(T)-dPadP~dCdj'VTR-"+R,-+Qligitt+Qpanel+Qmotor+Qcooler+Qpiping+Qmisc+Qslab+Qbreak+Wbsilg(Pbreak)
Wro)1J(T)-Wcoadhg(T)iVu+gWt>J[Y>>r)To)Cpa(Ttrj)
+(IYoj)hg(Tpj)]
J>>>1iVI+gWlj[Yi)TJJCpa(Tj))+(1Yg)hg(T(J)])=INc+gWcj[Yc)TcJCpa(TcJ)
YTCpa(T)J=lT=compartment gastemperature (K)Cp,(T)=specificheatofairattemperature T(J/kgK)hg(T)=specificenthalpyofsaturated watervaporattemperature T(J/kg)R,=idealgasconstantforair(288.7J/kgK)R=idealgasconstantforwater(461.4J/kgK)Qligbt,Qpanel>>Qmotor>Qcooler>>Qpiping>Qrnisc=compartment heatloadsduetolight-ing,electrical panels,motors,aircoolers,hotpiping,andmiscellane-ousequipment (J/s)Q,i,b=rateofheattransfertocompartment air/water vapormixturefromsur-roundingslabs(J/s)II.B.SlabModelInthesecondary containment ofaBWR,compart-mentwalls,ceilings, andfloorsaregenerally concreteslabsthatrangeinthickness from-0.3to-2m.Todetermine theheattransferratebetweenacompart-mentatmosphere andtheboundingconcreteslabs,theone-dimensional heatconduction equation(4)issolvedforeachslab.Here,T,(K)istheslabtemper-ature,andx(m)isthespatialcoordinate.
Sincethethermaldiffusivity ns(m/s)issuppliedasinputforeachslab,materials otherthanconcretecanbemod-eledprovidedthatslabsareofuniformmaterialcom-position.
Thisone-dimensional description assumesthatslabedgeeffectsdo.notsignificantly affecttheoverallrateofheattransfer.
Boundaryconditions onslabtemperature aregivenbyQb,k=heattransferratetoair/water vapormixturefromliquidexitingbreakasitcoolstocompartment temperature (J/s)and[Tl(r)Ts(0r)]aT,h,BxoksWb,--massflowrateofsteamexitingbreak(kg/s)46NUCLEARTECHNOLOGY VOL.94APR.1991 ChaikoandMurphywhereT>(t),T2(t)=temperatures ofcompartments ad-jacenttotheslabk,=slabconductivity (J/msK)L,=slabthickness (m)h~,h2=heattransfercoefficients (J/mzsK).ThesolutionofEq.(4)subjecttoEqs.(5)and(6)givestheratesofenergytransferfromtheslabsurfacestotheadjacentgasmixtures.
Thecoefficients hiandhzaccountfornaturalconvection, radiation, andcondensation heattransfer.
Intheabsenceofcondensation, thecoefficient hlcanbeexpressed ashi--ht+h/p,(7)whereh>andh~,arethenaturalconvection andra-diationcomponents, respectively.
Naturalconvection coefficients areexpressed intermsoftheNusseltnumber,whichinturnisafunc-tionoftheRayleighandPrandtlnumbers.Fortheco-efficient hl,theappropriate relationisNu=-=f(Ra,Pr),
h)Ct.k(g)(~,+1)h/I:'4+a+b-c)elm,auaTau
~(10)wherewhereCt.--slabcharacteristic lengthk=gasthermalconductivity andtheRayleighandPrandtlnumberstureare,respectively, definedbyo=Stefan-Boltzmann constant(5.669x10sJ/mzsK4)e,=slabemissivity T,=averagetemperature, whichisdefinedbyTau=[(T"+Tsurf)/2)
',(l1)forthegasmix-gpCI.lTs(0,t)-TI(t)ldvierp~ITICk(9)wherePOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSISfreeconvection fromaverticalplate.Forhorizontal slabs,free-convection coefficients dependonwhetherthesurfaceisbeingheatedorcooledbythesurround-inggasmixture.Asrecommended byHolman,4thecorrelation ofFujiiandImurasisusedwiththemod-ifiedcharacteristic lengthproposedbyGoldstein etal.~tocomputethecoefficient foranarbitrarily shapedslabwithheatedsurfacefacingupwardorcooledsur-facefacingdownward.
Incaseswheretheuppersur-faceiscooledorthelowersurfaceisheated,thecorrelations ofLloydandMoran7areused.Diatomicgasessuchasnitrogenandoxygenarees-sentially transparent tothermalradiation; however,theemissivity ofwatervaporwithrespecttothermalradi-ationissignificant.
InCOTTAP,radiantenergyex-changebetweenaslabsurfaceandwatervaporcontained withinthesurrounding gasmixtureismodeledthroughtheuseofaneffective radiation heattransfercoeffi-cient[seeEq.(7)].Fortheapplications ofinterest, tem-peraturedifferences betweenaslabsurfaceandthesurrounding gasmixturearerelatively small(typically (5K).Therefore, thefollowing approximate relationproposedbyHottelandSarofimforsmalltempera-turedifferences isusedtocomputetheradiation coef-ficient:whereg=acceleration duetogravity(9.8m/sz)p=coefficient ofthermalexpansion (K')v=kinematic viscosity (mz/s)n=thermaldiffusivity (m/s)p=dynamicviscosity (kg/ms)Cv=specificheatoftheairhvater vapormixture-~(J/kgK).T=gastemperature (K)T~=slabsurfacetemperature (K)e,=emissivity ofwatervaporevaluated atT,u.TheCess-Lian'quations, whichgiveananalytical approximation totheemissivity chartsofHottelandEgbert,"areusedtocomputethewatervaporemis-sivity.InEq.(10),chasthevalue0.45,andaandbareobtainedthroughdifferentiation oftheCess-Lian emis-sivityequations Gasmixtureproperties usedinthecalculation offreeconvection coefficients areevaluated atthethermalboundarylayertemperature, whichistakenastheav-erageoftheslabsurfacetemperature andthebulkgastemperature.
Forverticalslabs,coefficients arecalculated fromthecorrelation proposedbyChurchill andChu3forand81n[e(T,PP,PL
)]aBin(PL)8ln[e(T,PP,PL,)]8ln(T)(12)NUCLEARTECHNOLOGY VOL.94APR.199147 losure',forin-ndcondensa-gwalls.Fora-nsationalonebecomingsat-ain-out)formgsmpartment rel-ativehumiditylessthanorequaltounity,therainoutrateW(kg/s)iscalculated fromthefollowing empir-icalmodel:surfacetemperature dropsbelowthedewpoint(thesaturation temperature ofwaterevaluated atthepar-tialpressureofwatervaporinthecompartment) oftheair/water vapormixture.Heattransfercoefficients forcondensation conditions arecalculated usingtheexper-imentally determined Uchida"correlation, whichin-cludesthediffusional resistance effectofnoncondensible W,=200(RH-0.99)max(WC,i) ifRH)0.99andgasesonsteamcondensation rates.InCOTTAP,initialcompartment temperatures, pressures, andrelativehumidities arespecified asin-putdata.Aninitialslabtemperature profileisdeter-minedbycomputing thesteadysolutiontoEqs.(4),(5),and(6)corresponding totheinitialcompartment conditions.
Thisimpliesthatcompartments havebeenmaintained attheirinitialconditions longenoughforslabstoattainsteady-state temperature profiles.
W,=0.0ifRHs0.99,(16)whereRH=relativehumidityWs=totalsteamflowrateintothecompartment (kg/s)C,i=constantthatissuppliedaspartoftheinputdata(kg/s).ChaikoandMurphyFOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSISwhereisolation ofapipebreak(duetovalvecP,=a'rpat'alprcssue(Pa)stance)acompartment beginstocoolationcontinues tooccuronsurroundin P=watervaporpartialpressure(Pa)sufficiently fastcooldownrate,condedoesnotpreventcompartment airfromurated,andthusmoisturedroplets(rCondensation onaslabsurfaceoccurswhenthewithintheamixture.TomaintaincoII.C.SpecialPurposeModelsTheCOTTAPcodeincludesspecialized modelstosimulatetheeffectsofpipebreaks,hotpiping,andcompartment aircoolers.Leakageandnaturalcircu-lationmodelsarealsoincludedtodescribeintercom-partmentmasstransfer.
Inaddition, thecodeincludesasimplified slabmodel,aheatloaddecaymodel,andacompartment modelinwhichtemperature,
- pressure, andrelativehumidityarespecified asafunctionoftime.II.C.l.PipeBreakModelWithinthescopeofthepresentmodel,pipesmaycontainsteamorsaturated liquidwater.Inputdatade-finethetotalmassflowthroughthebreakWb,(kg/s)alongwiththetimeatwhichthebreakdevelopsandthelengthoftimeoverwhichfluidlossoccurs.Forpipescontaining saturated liquid,thesteamflowrateWb,exitingthepipe(kg/s)iscalculated fromtheen-ergybalanceWbihy(P>)
=Wbslig(P)
+(Wbi-Wbs)h/(P),
(14)whichdescribes theisenthalpic expansion offluidfrompipepressureP~tocompartment pressureP.Theliq-uidfraction, whichdoesnotflashasitleavesthepipe,isassumedtocooltocompartment temperature, andthedissipated sensibleheatistransferred directlytothecompartment air/water vapormixture.Forthecasewhereapipecontainssteam,allofthemassandenergyexitingthebreakisdeposited directlyintothecompart-mentgasmixture.Rain-outphenomena canbeimportant incompart-mentscontaining pipebreaks.Forexample,following 48II.C.2.HotPipingModelInmanysecondary containment compartments, themajorheatsourceconsistsofpipingthatcontainsreactorsteamorcoolant.Theheatadditionratetoacompartment airhvater vapormixturefromahotpipeiscalculated fromalp(<gUp7rLpDp[Tj'(t)]>(I7)where.~Up=overallheattransfercoefficient (J/m2sK)L~=pipelength(m)D~=outsidediameterofthepipe(orinsulation ifthepipeisinsulated)
(m)Tj--pipefluidtemperature (K)T=compartment temperature.
Theoverallheattransfercoefficient iscalculated bythecodebasedoninitialcompartment conditions; theco-efficient isthenmaintained constantthroughout thetransient.
II.C.3.AirCoolerModelCoolingunitsareusedinanumberofsecondary containment compartments toremoveheatgenerated byequipment suchasemergency corecoolingsystems(ECCS)injection pumpsandhigh-voltage busesandtransformers.
Heatremovalratesofcoolingunitsarecalculated fromQcool(t)Ccool(T(t)Tcool(t)j~(Ig)NUCLEARTECHNOLOGY VOL.94APR.199t ChaikoandMurphyPOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSISwhereT,/(t)=averageoftheinletandoutletcoolingwatertemperatures C,/=constantthatiscomputedfromspec-ifiedinitialvaluesofthecoolingloadQ,/,theinletcoolingwatertempera-ture,thecoolingwaterflowrate,andthecompartment temperature T.Anenergybalanceonthecoolingwateryieldstheout-letcoolingwatertemperature.
II.C.4.LeakageModelsTheCOTTAPleakagemodelsimulates pressure-inducedintercompartmental masstransferthroughopeningssuchasdoorwaysandventilation ducts.In-tercompartment leakageiscalculated bybalancing thepressuredifferential betweenthecompartments withanirreversible pressureloss.Thus,theleakageratesat-isfiesP(t)-P,(t)Kinesia(t)[
Win(t)](19)2p//(l)Aw whereP1,Pz=pressures ofthecompartments associated withtheleakagepath(Pa)WN=leakagerate(kg/s)K~=irreversible pressurelosscoefficient A//,--leakagearea(m)p//,=gasdensitywithinthecompartment sup-plyingtheleakageflow(kg/m).Itisassumedthatinertialeffectsdonotsignificantly affectleakagerates.II.C.5.NaturalCirculation ModelAnaturalcirculation modelsimulates gravity-drivenmixingincompartments connected byflowpathsatdiffering elevations.
Thecirculation rateW,(kg/s)isobtainedfromThismodelalsodescribes intercompartment, gravity-drivencirculation flowsthatcandevelopatopendoor-ways(seetheanalysisofBrownandSolvason'.
II.C.6.ThinSlabModelThedetailedslabmodeldiscussed inSec.II.Bisnotrequiredtodescribeheattransferthroughthinslabsthathavelittlethermalcapacitance.
Slabsofthistype,e.g.,refueling floorwalls,havenearlylineartem-peratureprofiles, andthustheheatflowthroughathinslabcanbecalculated bytheuseofanoverallheattransfercoefficient U.Therateofheattransferthroughathinslabisobtainedfromq/s(r)=UisA[T1(>)-T2(/)],(21)whereA=thinslabheattransferarea(m)TjTz=temperatures ofthecompartments sepa-ratedbytheslab(K).ValuesofU(J/msK)aresuppliedaspartofthecodeinputdata(onevalueforeachverticalslabandtwovaluesforeachhorizontal slab).Forhorizontal slabs,twovaluesofUarerequiredbecausefree-convection filmcoefficients dependonthedirection, upwardordownward, ofheatflowthroughtheslab.II.C.7.Heal-Load DecayModelCoolingofacomponent suchasapipefilledwithhotstagnantfluidorapumpthathasceasedoperat-ingissimulated throughtheuseofalumped-param-eterheattransfermodel.Mostcompartments inthesecondary containment havealargethermalcapacitybecauseoftheboundingconcreteslabs.Itistherefore assumedthatthecomponent temperature changesonafastertimescalethanthecompartment airtemper-ature;i.e.,theairtemperature isassumedtoremainfairlyconstantduringthecooldownofthecomponent.
Withthisassumption, thecomponent heatdissipation rateQc(t)isgovernedby7'Q'"=-Q(/)(22)d/W-g['()'()](")K//[Alp2(t)]+KN/[ANpi(/)]JwhereQc(/o)=Qco(23)wherep1,pz--densities oftheair/water vapormixtureswithinthetwoadjacentcompartments (kg/m)(hereitisassumedthatp2isthegasdensityforthecoolercompartment)
E,E/--elevations oftheupperandlowerflowpaths(m)A,A/--upperandlowerflowpathareas(m).NUCLEARTECHNOLOGY VOL.94APR.1991McCwVcUcAc(24)whereM,=massofthecomponent (kg)Ci~=specificheatofthecomponent (J/kgK)49and7,(s'),thethermaltimeconstantofthecompo-nent,isgivenby ChaikoandMurphyPOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSISU,=overallheattransfercoefficient (J/m2.sK)A,=component heattransferarea(m2).InEq.(23),to(s)isthetimeatwhichthecooldownprocessbegins,andQ<<,whichissuppliedasinputdata,istheheatdissipation ratepriortocooldown.
So-lutionofEqs.(22)and(23)givestheexponential-decay approximation usedinCOTTAPtomodelheatdissi-pationofcoolingcomponents.
Thecomponent timeconstanty,isspecified asinputdataexceptinthecaseofhotpiping,whereitiscalculated bythecodefromthepipingdescription data.II.C.8.Time-Dependent Compartment ModelWiththetime-dependent compartment (TDC)model,environmental conditions withinacompart-mentarespecified asafunctionoftime;i.e.,temper-ature,pressure, andrelativehumidityversustimearesuppliedastabularinputdata.Thismodelisparticu-larlyusefulforrepresenting outsideairconditions, in-cludingsolarandthermalradiation effects.Theinfluence ofsolarandlong-wave atmospheric radiation onexteriorbuildupsurfacescanbedescribed byspec-ifyingtheeffective Sol-Airtemperature'n theTDCinsteadoftheactualoutsideairtemperature.
Insec-ondarycontainment
- analysis, theTDCmodelisalsousefulfordescribing transient conditions withintheprimaryreactorcontainment, whicharegenerally knownfromtheresultsofdetailedlicensing basiscal-culations.
dTsl=GTpssxx(25)wherei=1,2,3,...,N, thenumberofequallyspacedgridpointsTp--slabtemperature atgridpointiTp=finitedifference approximation tothesecond-order spatialderivative atgridpointi.Following theapproachusedbyPirkleandSchiesser'3 intheMOLsolutionofparabolic equa-50II.D.Numerical SolutionNlethodsAnenergybalanceandtwomassbalancesaresolvedforeachcompartment todetermine gastemperature, airmass,andwatervapormass.Inaddition, theone-dimensional heatconduction equationissolvedforeachslab.Beforecomputing thenumerical solutionofthegoverning equations, partialdifferential equations describing heatflowthroughslabsareapproximated bysetsofordinarydifferential equations (ODEs).Thisisaccomplished throughapplication ofthemethodoflines(MOL).IntheMOL,afinite.difference approx-imationisappliedonlytothespatialderivative inEq.(4),givingtions,fourth-order centraldifference formulasareusedtocomputeTtatinteriorgridpoints:Asix-point slopingdifference formulaisusedtoap-proximate Tpati=2andi=N-1:ITsxx2=-2(10Tsi15Ts24Ts3+14Ts4-'6T,s+T,6)+O(~)(27)and1TsxxNl2(10TSN15TsN-l4TsN-2+14TsN-3-6TsN-4+TsN-5)+O(~4).(28)Fortheendpoints,wherethenormalderivatives arespecified throughconvective boundaryconditions, thefollowing finitedifference approximations, recom-mendedbyPirkleandSchiesser,'3 areusedtocom-puteTI41532T=---Ti+96T2-36T3+-T4sxxt12626ssS3sTss50t3,Tsxl
+O(h)(29)34andI415TsN=---TN+96TNi-36TN2sxx323+-TsN-3--TsN-4+506TsxN2+O(a)(30)InEqs.(29)and(30),thenormalderivatives TsxiandT~areevaluated inaccordance withEqs.(5)and(6),theconvective boundaryconditions; i.e.,hiTsxl-(TlTsI)sandh2Tsx2----(TsN-T2)s(31)NUCLEARTECHNOLOGY VOL.94APR.199l1Tsxxi=122(-Tsi-2+16Tsi-i-30Tsi+16Tsl+i128,-Ts'+2)+O(h),(26)wherei=3,4,...,N-2 6=spacingbetweengridpoints.
ChaikoandMurphyPOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSISAllgovernirig equations arenowexpressed intermsofODEsoftheformdy-=F(y,t)withy(0)=yedL'32)Solutions ofEq.(32)exhibitrapidinitialadjust-mentsincompartment airtemperature causedbytherelatively smallthermalcapacitance oftheaircontained withinthecompartment.
- Moreover, slabtemperatures undergorapidinitialchangesinnarrowregionsneartheboundaries, resulting intheformation ofspatialthermalboundarylayers.Inthenumerical integration ofEq.(32),smalltimestepsarerequiredtosimulatetheseinitialtransients.
Astheinitialtransient responsedecays,however,itisdesirable toincreasestepsizesinordertoreducethecomputation timerequiredtofol-lowtheslowlyvaryingpartofthesolution.
Equations, suchasEq.(32),whichexhibitinitialtemporalbound-arylayerstructures aretermedstiffdifferential systems(seethediscussion inRef.16),andbecauseofstabil-itylimitations, theycannotbesolvedefficiently withexplicitintegration schemes.Forthisreason,anim-plicitschemewasselectedforCOTTAP.Numerical integration ofthegoverning Eq.(32)iscarriedoutwiththeLSODEScode,'hich usestheimplicitbackwarddifferentiation methodsproposedbyGearforthesolutionofstiffsystems.TheLSODEScodealsoemployssparse'matrix inversion techniques insolvingtheimplicitfinitedifference equations.
Withthesenumerical integration
- features, itisfeasibletocarry'outtheintegration ofthelargedifferential sys-temsthatariseinthesimulation ofsecondary contain-menttransients.
Asanillustration oftheproblemdimension, simulation oftheSSES-1and-2secondary containments underpostaccident conditions requiredthesolutionof20101coupledODEs.Fortheselarge-scale
- problems, reevaluation ofcode-calculated slabheattransfercoefficients ateverytimestepleadstounacceptably longcomputation times.Toalleviate thisdifficulty-,
thefrequency ofre-evaluation (numberofstepsbetweenreevaluation ofcoefficients) isaparameter suppliedasinputtothecode.Sensitivity calculations onsmall-scale problemsrepresentative ofpostaccident secondary containment transients indicatethatcoefficients canbereevaluated asinfrequently asoncepertenstepswithoutintroducing significant errorsintheresults.TheCPUtimerequire-mentswerereducedbyafactorof4whencoefficients werereevaluated ateverytenthtimestep.1.Fissionproducttransport amongcompartments isnotmodeled.II.E.CodeLimitations.
inModelingAccidentScenarios Thefollowing modelinglimitations havebeeniden-tifiedinthecurrentversionoftheCOTTAPcode:2.Coolermodelingdoesnotdescribemoisturere-movalunderconditions wherethecoolingcoiltemper-.atureisbelowthedewpointoftheinletgasmixture.3.Pipebreakmodelingisvalidonlyforlinescon-tainingsteamorsaturated liquid;breaksinvolving thereleaseofsubcooled liquidcannotbedescribed.
4.Compartment floodingeventscannotbesimu-latedbecauseallliquidisassumedtoexitthroughcom-partmentfloordrains.III.RESULTSOFSSESSECONDARY CONTAINMENT ANALYSISFORPOSTACCIOENT CONDITIONS Thissectiongivesrepresentative resultsforaCOT-TAPsimulation ofthecombinedSSES-1and-2sec-ondarycontainments underpostaccident conditions.
Thethermalresponses oftheUnits1and2secondary containments arecoupledbyheattransferthroughcommonwallsthatseparatethetwostructures.
TheSSESmodelconsists.
of105compartments, 16time-dependent compartments, 767slabs,38thinslabs,and505heatloads.Thesimulation wascarriedoutfor30handrequired124minofCPUtimeonanIBM3090computer.
NotethatmostoftheCPUtimeisrequiredtosimulatetherapidlyvaryingpartofthetransient thatoccurswithinthefirstfewhoursoftheevent.Thus,substantially longersimulation timesdonotsig-niflcantly increaseCPUtimerequirements.
Forthisanalysis, itisassumedthataloss-of-coolantaccident(LOCA)occursinSSES-1andafalseLOCAsignal(aspurioussignalthatindicates lossofreactorcoolantandleadstoventilation systemisola-tionandoperation ofECCSinjection pumps)isgen-eratedonSSES-2.Underpostaccident conditions, ECCSinjection pumpscomprisethekeyequipment withinthesecondary containment structure.
TheECCSconsistsoftheresidualheatremoval(RHR),corespray,andhigh-pressure coolantinjection (HPCI)sys-tems.Thesesystemsreceiveelectrical powerfromhigh-voltagebusescontained withinemergency switchgearandloadcenterrooms.FigureIshowsthecalculated temperature responsewithinaSSES-1RHRpumproom(eachunitcontainstwoRHRpumproomsandtwocorespraypumprooms).Initially, theairtemper-atureincreases rapidlybecauseofthesmallthermalca-pacitance oftheairwithinthecompartment.
Asairtemperature increases, abalancebetweencompartment heatsourcesandlossestocompartment aircoolersandslabsbeginstodevelop.Atthistime,air.temperature startstoincreaseontheslowtimescalegovernedbytheslabthermalcapacityandtransport properties.
Aninitialrapidtemperature risefollowedbyamuchslowertemperature increaseischaracteristic ofallcom-partmentheatuptransients.
After1hofoperation, thisparticular RHRpumpswitchesfromtheinjection modeofoperation tothesuppression poolcoolingNUCLEARTECHNOLOGY VOL.94APR.199151-ChaikoandMurphyPOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSIShC320E316I-E3316o314312051015202530Time(h)Fig.1.Simulation ofpostaccident temperature responsewithinSSES-IRHRpumproomforLOCAonSSES-IandfalseLOCAonSSES-2.317~316.~~315I-314Eo313E312Q311X310051015202530Time(h)Fig.3.Simulation ofpostaccident temperature responsewithinSSES-IHPCIpumproomforLOCAinSSES-IandfalseLOCAinSSES-2.mode.Asaresultofincreased compartment heatloadsassociated withthechangeinoperating mode,thetem-peratureagainincreases rapidlyuntilanewbalancebetweentheheat-generation andheat-loss ratesisat-tained.Thetemperature responsewithinaSSES-IcorespraypumproomisshowninFig.2.Coresprayop-erationbeginsatthestartoftheeventandceasesIhlater.Temperature decreases rapidlyatthispointbe-cause,oncepumpoperation isterminated, nosignif-icantheatloadsremaininthecompartment.
Figure3illustrates thetemperature responseoftheSSES-IHPCIsystem,whichalsobeginsoperation atthestartoftheaccident.
Inthiscase,however,compartment temperature continues toincreasewhenthesystemceasesoperation atIhintothetransient.
Thisoccursbecausepipingheatloadswithinthiscompartment aresubstantial.
WhenHPCIpumpoperation stops,anas-sociatedroomcoolingunitalsoceasesoperation.
Uponshutdownofthecoolingunit,slowlydecayingpipingheatloadsrapidlyincreasecompartment temperature untilabalancebetweenheatgeneration andheatlossestocompartment slabsisapproached.
Figure4givesthetemperature withinaSSES-Iloadcenterroomthat~317PE~316I-E3315CC~314V)313O051015202530Time(h)Fig.2.Simulation ofpostaccident temperature responsewithinSSES-IcorespraypumproomforLOCAinSSES-IandfalseLOCAinSSES-2.-309ejE308I-E3cc~3078CO306051015202530Time(h)Fig.4.Simulation ofpostaccident temperature responsewithinSSES-IloadcenterroomforLOCAinSSES-IandfalseLOCAinSSES-2.52NUCLEARTECHNOLOGY VOL.94APR.1991 supplieselectrthiscompartmstantthroughout thetransient.
Fromtheresultsofthisanalysis, itisdetermined thatunderpostaccident conditions, someoftheequip-mentwithinthesecondary containment wouldbeex-posedtotemperatures thatexceedtheirqualification values.Consequently, components werereassessed foroperation athighertemperatures, andinsomein-stancesequipment wasrelocated tocompartments withlesssevereenvironmental conditions.
Furthermore, aprocedure wasdeveloped toinstructplantoperators toshednonessential electrical loadswithin24hafteranaccidentinordertomoderatethetemperature re-sponseswithinsecondary containment compartments.
K310P~~305COTTAP---CONTAIN300IChaikoandMurphyPOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSISicalpowertoemergency equipment.
In315ent,heatloadsremainessentially con-IV.EVALUATION OFCODEACCURACYAspartoftheverification processfortheCOT-TAPcode,calculational resultswerecomparedwiththoseobtainedwiththeCONTAIN(Ref.2)program,whichhasbeenverifiedthroughcomparison withex-perimental data.'AlthoughtheCONTAINcodedoesnotaccommodate adirectheatinput(suchasfromoperating mechanical orelectrical equipment) toacompartment, usefulproblemscannevertheless beformulated inordertoinvestigate themodelingandcomputational accuracyofCOTTAP.Twosuchprob-lemswereformulated forcodeverification.
ThefirstproblemteststheCO%I'APcompartment massanden-ergybalancecalculations andtheslabheattransfersimulation.
Thisproblemconsistsofasinglecompart-mentthathasa1000-m3volumeandcontainsairat300Kand101325-Painitialtemperature andpressure.
Concreteslabs,whichrangeinthickness from0.1to1m,formthewallsofthecompartment.
Allslabshaveauniform,initialtemperature of300K.Toaddheattothecompartment, theairincontactwiththeoutersurfaceofoneslab(theslabthatis0.1mthick)issud-denlyincreased to400Katt=0.Inaddition, at50sintothetransient, airwithatemperature of500Kisin-jectedintothecompartment ata0.26kg/sflowrate.Outersurfacetemperature riseandairinjection con-ditionswereselectedtoeffectsignificant, butnotex-cessive,temperature andpressureresponse.
Figures5and6presentacomparison oftheCOT-TAPandCONTAINcalculation resultsforthefirsttestproblem.Thetemperature andpressuresimula-tionsbothshowexcellent agreement; notethatthepressureresponsecurvesgiveninFig.6completely overlap.In-Fig.5,theinitialtemperature
- increase, whichisduetoinjection ofhotairintothecompart-ment,beginstoleveloffat-0,5h.Heatadditionbymeansofconduction throughtheexternally heatedslabthenbeginstooccur,causingafurtherbutlessrapidincreaseintemperature.
Thesecondtestproblemconsidered forcodever-0.200.180.160.14Q-0.12-COTTAP---CONTAIN0.100246810Time(h)Fig.6.Comparison ofCOTTAPandCONTAIN.compart-mentpressuresimulations fortestprobleml.ification involvesmodelingofcompartment tempera-tureandpressurebehaviorunderconditions wherehigh-energy steamisinjectedintothecompartment.
Inthisproblem,condensation effectsstronglyinfluence therateoftemperature andpressureincrease.
Com-partmentphysicaldescription dataarethesameasthatfortestproblem1.Inthiscase,however,theonlyheatsourceisthesteamenteringthecompartment ata0.20kg/sflowrateanda2.7756x106J/kgenthalpy.
Thisflowrateandenthalpyarecharacteristic ofasmallsteamleakwithinasecondary containment com-partment.
Figures7and8showacomparison ofthe0246810Time(h)Fig.5.Comparison ofCOTTAPandCONTAINcompart-menttemperature simulations fortestproblemI,NUCLEARTECHNOLOGY VOL.94APR.I99t53 ChaikoandMurphyPOSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSIS450~4oo'50300-COTTAP---CONTAINACKNOWLEOGMENTS TheauthorsthankJackG.Refling,JamesE.Agnew,MarkR.Mjaatvedt, andLeonardJ.Westfortheirmanyhelpfulsuggestions duringthecourseofthiswork.WealsothankLisaWalshfortypingthemanuscript.
REFERENCES 1.C.C.LIN,C.ECONOMOS, J.R.LEHNER,G.MAISE,andK.K.NG,"CONTEMPT4/MOD4:
AMulti-compartment Containment SystemAnalysisProgram,"
BNL-NUREG-51754, Brookhaven NationalLaboratory (1984).05101520Timelh)Fig.7.Comparison ofCOTTAPandCONTAINcompart-menttemperature simulations fortestproblem2.0.6osg0.4IPn0.3-Q.2.K.K.MURATAetal.,"User's.ManualforCONTAIN1.1:AComputerCodeforSevereNuclearReactorAccidentContainment Analysis,"
NUREG/CR-5026, SandiaNa-tionalLaboratories (1989).3.S.W.CHURCHILL andH.H.S.CHU,"Correlating Equations forLaminarandTurbulent FreeConvection fromaVerticalPlate,"Int.J.HeatMassTransfer, 18,1323(1975).4.J.P.HOLMAN,HeatTransfer, 4thcd.,p.250,McGraw-Hill BookCompany,NewYork(1976).5.T.FUJIIandH.IMURA,"NaturalConvection HeatTransferfromaPlatewithArbitrary Inclination,"
Int.J.HeatMassTransfer, 15,755(1972).6.R.J.GOLDSTEIN, E.M.SPARROW,andD.C.JONES,"NaturalConvection MassTransferAdjacenttoHorizontal Plates,"Int.J.HeatMassTransfer, 16,1025(1973).0.20.1COTTAP---CONTAIN7.J.R.LLOYDandW.R.MORAN,"NaturalConvec-tionAdjacenttoHorizontal SurfaceofVariousPlanforms,"
ASME74-WA/HT-66, AmericanSocietyofMechanical Engineers (1974).05101520Time(h)Fig.8.Comparison ofCOTTAPandCONTAINcompart-mentpressuresimulations fortestproblem2.COTTAPandCONTAINsimulation results.There-sultsshowgoodagreement eventhoughthecodesem-ployconsiderably different approaches inthecalculation ofcondensation ratesonslabsurfaces.
TheCOTTAPcodeusestheexperimentally determined Uchida'ondensation coefficient, whileCONTAINcarriesoutadetailedcomputation ofthethermalre-sistances associated withthegasboundarylayerandthecondensate film.8.D.Q.KERN,ProcessHeatTransfer, p.690,McGraw-HillBookCorupany, NewYork(1950).9.H.C.HOTTELandA.F.ballot'tM, Radiative
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Int.J.HeatTransfer, 98,676(1976).11.H.C.HOTTELandR.B.EGBERT,"RadiantHeatTransmission fromWaterVapor,"Am.Inst.Chem.Eng.,38,531(1942).12.H.UCHIDA,A.OYAMA,andY.TOGO,"Evalua-tionofPost-Incident CoolingSystemsofLight-Water PowerReactors,"
Proc.3rdInt.Conf.PeacefulUsesofAtomicEnergy,Geneva,Switzerland, 1964,Vol.13,p.93,UnitedNations(1965).54NUCLEARTECHNOLOGY VOL.94APR.1991 ChaikoandMurphy13.W.G.BROWNandK.R.SOLVASON, "NaturalCon-vectionThroughRectangular OpeningsinPartitions-I Ver-ticalPartitions,"
Int.J.HeatMassTransfer, 5,859(1962).14.ASHRAEHandbook1985Fundamentals, AmericanSocietyofHeating,Refrigerating andAir-Conditioning En-gineers,Atlanta,Georgia.15.J.C.PIRKLE,Jr.andW.E.SCHIESSER, "DSS/2:ATransportable FORTRAN77CodeforSystemsofOrdinaryandOne,TwoandThree-Dimensional PartialDifferential Equations,"
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- Montreal, Canada,1987.18.K.K.MURATAandK.D.BERGERON, "Experimen-talValidation oftheCONTAINCode,"Proc.11thLWRSafelyInformation Mtg.,Gaithersburg,
- Maryland, October24-28,1983,SAND-83-1911C, SandiaNationalLaborato-ries(1983).19.K.K.MURATAetal.,"CONTAIN:
RecentHighlights inCodeTestingandValidation,"
Proc.Int.Mtg.LightWaterReactorSevereAccidentEvaluation, Cambridge, Massa-chusetts, August28-September I,1983,AmericanNuclearSociety(1983).16.C.W.GEAR,Numerical InitialValueProblemsin Or-dinaryDifferential Equations, Chap.11,Prentice-Hall, En-glewoodCliffs,NewJersey(1971).POSTACCIDENT BWRSECONDARY CONTAINMENT THERMALANALYSIS17.A.C.HINDMARSH, "ODEPACK, ASystematized Collection ofODESolvers,"
Scientific Computing, Vol.I,p.55,R.S.STEPLEMAN etal.,Eds.,IMACSTransac-tionsonScientific Computation, North-Holland Publishing Company,Amsterdam (1983).MarkA.Chaiko[BS,1980,andMS,1983,chemicalengineering, Penn-sylvaniaStateUniversity (PSU);PhD,appliedmathematics, LehighUniver-sity,1989]isaprojectengineer-nuclear systemsatthePennsylvania Power&LightCompany.Hiscurrenttechnical interests includeboilingwaterreactorstability analysisandthermal-hydraulic modelingofreactorsystems.MichaelJ.Murphy(BS,mechanical engineering, 1982,andMS,nuclearengineering, 1986,PSU)isaprojectengineer-nuclear systemswiththePenn-sylvaniaPower&LightCompany.Heiscurrently involvedinsimulation ofanticipated transient withoutscramandsevereaccidentanalysis.
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