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| {{#Wiki_filter:-.-ACCELERATEDDISTRJBUTIONDEMONSTPWTIONSYSTEMREGULRTOINFORMATIONDISTRIBUTIONTEM(RIDE)ACCESSIONNBR:9204060129DOC.DATE:92/04/01NOTARIZED:YESDOCKETFACIL:50-315"DonaldC.CookNuclearPowerPlant,Unit1,IndianaM0500031550-316DonaldC.CookNuclearPowerPlant,Unit2,IndianaM05000316AUTH.NAMEAUTHORAFFILIATIONFITZPATRICK,E.IndianaMichiganPowerCo.(formerlyIndiana&MichiganEleRECIP.NAMERECIPIENTAFFILIATIONMURLEY,T.E.DocumentControlBranch(DocumentControlDesk)/ | | {{#Wiki_filter:-.-ACCELERATED DISTRJBUTION DEMONSTPWTION SYSTEMREGULRTOINFORMATION DISTRIBUTION TEM(RIDE)ACCESSION NBR:9204060129 DOC.DATE: |
| | 92/04/01NOTARIZED: |
| | YESDOCKETFACIL:50-315 "DonaldC.CookNuclearPowerPlant,Unit1,IndianaM0500031550-316DonaldC.CookNuclearPowerPlant,Unit2,IndianaM05000316AUTH.NAMEAUTHORAFFILIATION FITZPATRICK,E. |
| | IndianaMichiganPowerCo.(formerly Indiana&MichiganEleRECIP.NAME RECIPIENT AFFILIATION MURLEY,T.E. |
| | DocumentControlBranch(Document ControlDesk)/ |
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| ==SUBJECT:== | | ==SUBJECT:== |
| RespondstoNRCrequestforaddiinforeproposedplantspentfuelpoolrerackingaforwardsproprietaryRev1toHI-88243,"FluidCouplinginFuelRacks..."6HI-91700,"DynarackValidation...."Reptswithheld(ref10CFR2.790).DISTRIBUTIONCODE:AP01DCOPIESRECEIVED:LTRENCLSIZE:TITLE:ProprietaryReviewDistribution.-OperatingReactorNOTES:gP~g~peyr-7gRECIPIENTIDCODE/NAMEPD3-1LASTANG,JINTERNAL'Ee0R'FILE01EXTERNAL:NRCPDRIfCOPIESLTTRENCL11'3111'ApRECIPIENTIDCODE/NAMEPD3-1PDOGC/HDS2COPIESLTTRENCL1110NOTETOALL"RIDS"RECIPIENTS:PLEASEHELPUSTOREDUCEWAFIHCONTACTTHEDOCUMENTCONTROLDESK.ROOMPl-37(EXT.20079)TOELIMINATEYOURNAMEFROMDISTRIBUTIONLISTSFORDOCUMENTSYOUDON'TNEEDITOTALNUMBEROFCOPIESREQUIRED:LTTR9ENCL7 IndianaMichiganPowerCompanyP.O.Box16631Coiumbus,OH43216INEMBNANfCIMISANNaOWMAEP:NRC:1146CDonaldC.CookNuclearPlantUnits1and2DocketNos.50-315and50-316LicenseNos.DPR-58andDPR-74SPENTFUELPOOLRERACKINGRESPONSETOREQUESTFORADDITIONALINFORMATIONU.S.NuclearRegulatoryCommissionDocumentControlDeskWashington,D.C.20555Attention:T.E.MurleyApril1,1992
| | RespondstoNRCrequestforaddiinforeproposedplantspentfuelpoolreracking aforwardsproprietary Rev1toHI-88243, "FluidCouplinginFuelRacks..." |
| | 6HI-91700, "Dynarack Validation...." |
| | Reptswithheld(ref10CFR2.790). |
| | DISTRIBUTION CODE:AP01DCOPIESRECEIVED:LTR ENCLSIZE:TITLE:Proprietary ReviewDistribution. |
| | -Operating ReactorNOTES:gP~g~peyr-7g RECIPIENT IDCODE/NAME PD3-1LASTANG,JINTERNAL'Ee0R'FILE01EXTERNAL: |
| | NRCPDRIfCOPIESLTTRENCL11'3111'ApRECIPIENT IDCODE/NAME PD3-1PDOGC/HDS2COPIESLTTRENCL1110NOTETOALL"RIDS"RECIPIENTS: |
| | PLEASEHELPUSTOREDUCEWAFIHCONTACTTHEDOCUMENTCONTROLDESK.ROOMPl-37(EXT.20079)TOELIMINATE YOURNAMEFROMDISTRIBUTION LISTSFORDOCUMENTS YOUDON'TNEEDITOTALNUMBEROFCOPIESREQUIRED: |
| | LTTR9ENCL7 IndianaMichiganPowerCompanyP.O.Box16631Coiumbus, OH43216INEMBNANfCIMISANNaOWMAEP:NRC:1146C DonaldC.CookNuclearPlantUnits1and2DocketNos.50-315and50-316LicenseNos.DPR-58andDPR-74SPENTFUELPOOLRERACKING RESPONSETOREQUESTFORADDITIONAL INFORMATION U.S.NuclearRegulatory Commission DocumentControlDeskWashington, D.C.20555Attention: |
| | T.E.MurleyApril1,1992DearDr.Murley;PAttachment 1tothislettercontainsourresponses toyourstaff'sFebruary21,1992requestforadditional information regarding theproposedDonaldC.CookNuclearPlantspentfuelpoolreracking (TACNOS.M80615andM80616).Pleasecontactusshouldyourequireadditional information orclarification ofourresponse. |
| | Attachment 2tothislettercontainsinformation proprietary toHoltecInternational. |
| | Itissupported byanaffidavit signedbyHoltec,theowneroftheinformation. |
| | Theaffidavit setsforththebasisonwhichtheinformation maybewithheldfrompublicdisclosure bytheCommission andaddresses withspecificity theconsiderations listedinparagraph (b)(4)ofSection2.790oftheCommission's regulations. |
| | Accordingly, itisrespectfully requested thattheinformation whichisproprietary toHoltecbewithheldfrompublicdisclosure inaccordance with10CFRSection2.790oftheCommission's regulations. |
| | Additionally, membersoftheNRCstaffrequested that,forthisrerackproject,wecommittoDraftRegulatory GuideDG-8006,"ControlofAccesstoHighandVeryHighRadiation AreasinNuclearPowerPlants,"datedOctober1991.Wewillcommittothisdraftregulatory guideasitappliestothespentfuelpoolreracking pro]ectlicenseamendment requestsubmitted inourletterAEP:NRC:1146 datedJuly26,1991.Incompliance withtherequirements of10CFR50,91(b)(1), |
| | copiesofthisletteranditsattachments havebeentransmitted to9204060129 920401PDRADOCK05000315PPDR Dr.T~E.Murley-2-AEP'NRC:1146C Mr.J.R.PadgettoftheMichiganpublicServiceCommission andtotheMichiganDepartment ofPublicHealth.Thisdocumenthasbeenpreparedfollowing Corporate procedures thatincorporate areasonable setofcontrolstoensureitsaccuracyandcompleteness priortosignature bytheundersigned. |
| | Sincerely, CC'4g~E.E.FitzparickVicePresident anAttachments CC;D.H.Williams, Jr.(w/o)A.A.Blind-Bridgman(w/oAttachment 2)J~R.Padgett(w/oAttachment 2)G.Charnoff(w/o)NFEMSectionChief(w/oAttachment 2)A.B.Davis-RegionIIINRCResidentInspector |
| | -Bridgman(w/oAttachment |
| | : 2) |
| | ATTACHMENT 1TOAEP'NRC'1146C ADDITIONAL INFORMATION DONALDC.COOKNUCLEARPLANTSPENTFUELPOOLRERACKING Attachment 1toAEP:NRC:1146C Page1Question1."WithregardtoFigure2.2.1[sic],CookSpentFuelPoolLayout,pleasedescribeastowhatoccupieseachshadedareabyproviding sizeofequipments andmachines, ifany.Also,providetheelevation oftheshadedareawithrespecttoadjacentpoolfloor.Istheelevation oftheshadedarealevelwiththepoolfloororrecessed? |
| | Discussifthereisanybarrieraroundthecaskareatorestricttranslational movementofracksE4andG."Responseto1.InFigure2.1.1ofoursubmittal AEP:NRC:1146 (Reference 5),theshadedareaisthecaskhandlingarea.Thisareais.normallyemptyofallequipment andmaterial. |
| | Theelevation ofthecaskareais604'04"nominal.Thepoolfloorisatanelevation of606'h"nominal.Thereisnobarrieraroundthecaskareatopreventtranslational movementofracksE4andGasitisnotnecessary. |
| | Theresultsofthreerunsofthewholepoolmulti-rack (WPMR)analysisareprovidedinthelicensing reportinReference (5).Themaximumdisplacements ofRack-E4(Rack18)andRack-G(Rack23)atrackbaseplate level,whichmaybetowardsthecaskarea,aresummarized fromtheresultsinTablel.ItisclearfromTable1thatalargemarginexistsagainsttherackstippingintothecaskdepression. |
| | Question2."Providedrawingsfortheracksthatdepictdimensions including thickness ofvariousmembers,'weldlocations andsizes,weightoftheracksandfuelassemblies suchthatonemaybeabletoperformengineering stresscalculations. |
| | Alsoprovidepooldimension thatindicates relativepositionofrackstopoolincluding waterlevelduringoperation and,also,duringrefueling." |
| | Responseto2.Attachment 2tothissubmittal containsHoltecInternational proprietary drawings666-Revision 3,667-Revision 3,668-Revision3,and669-Revision 2,whichdepictrackdimensions including thickness ofvariousmembers,weldlocations andsizesandweightoftheracks.Dimension andweightdataonfuelassemblies canbefoundinTables3.2.1-1and3.5.1-1oftheUnit1UFSARandTables3.1-1and3.3-1oftheUnit2UFSAR.Pooldimensions thatindicatetherelativepositionoftherackstothepoolaregiveninHoltecInternational Drawing666.Thepoolfloorisatelevation 606'1/2"nominalandthenormalwaterlevelisatelevation 645'1/2".Highandlowwaterlevelalarmsareat645'3/4"and644'",respectively. |
| | Thepoolwaterlevelisnotafunctionofreactormodeofoperation, thusitisnominally thesameduringoperation andrefueling. |
| | Attachment 1toAEP:NRC:1146C Page2Question3."Inpages6-8,itisstatedthattheCoulombfrictionbetweentheracksandpoollinersmustbesimulated byappropriate piecewise linearspring.Provideexactmathematical formulation ofmodelandalsodiscusstheoretical andexperimental basesforthemodel.Discussyourrepresentation ofCoulombfrictiondampingwiththemodeldiscussed inReference 4andexplainthedifferences." |
| | Responseto3.Theclassical definition ofCoulombfrictionis:F<RNwhereNisthenormalforceonthefrictioninterface, pisthecoefficient offrictionandFisthesupportable lateralforceavailable fromfriction. |
| | TheCoulombfrictionforceisreactive, ratherthanactive.Inotherwords,itdevelopsonlytocounteract alaterally appliedexternalforceanditsvaluecannotexceedthelesserofpNandtheappliedexternalforce,P;i.e.,referring toFigure1:FAbsoluteMinimum(AMIN)[P,pN]werePandNareabsolutevalues.Thedirection ofFissuchastoopposethedirection ofactualorimpending motion.Ittherefore followsthatthebodyAsubjecttogiveninterface loadNwillbegintoslideifthelateralloadreachespN.Thelateraldisplacement, 8,ofbodyAwillhavetherelationship depictedbyFigure2,whichcanbewrittensymbolically as:0ifP<'pN~ifP>pN8canbeviewedastheslipbetweenthepoint0'nd0atthefrictioninterface inFigurel.The"ideal"Coulombfrictionforce-displacement profileshowninFigure2canbewritteninamoregeneralized formbyreferring toFigure3:FAMIN[P,Kb],ifKb'pN,6'0-AMIN[P;pN];ifKb>pN,6=0whereKisthestiffness ofthetheoretical springconnecting point0and0'ttheinterface inFigure1.Reference |
| | [6.4.3]ofthelicensing reportinReference (5)statesthatthespringconstant, K,shouldbechosenanorderofmagnitude largerthanthecharacteristic elasticstiffness oftheinterface structure. |
| | Attachment 1toAEP:NRC:1146C Page3Therelationship exhibited bytheaboveformulaistheCoulombpiecewise linearspringutilizedinDYNARACK. |
| | Itisastandardprocedure innumerical simulation offrictioninterfaces andissuccinctly described inReference |
| | [6.4.3]inthelicensing reportinReference (5).Itisconsistent withthemethodology described intheliterature onnonlinear dynamicsincluding thereferences citedintherequestforadditional information andothertexts.Question4."Discussindetailwhatnumerical valuesareusedforthehydrodynamic masseswithassociated discretized rackmass~Provideaquantitative discussion astohowsuchvaluesarecalculated including supporting'xperimental basesparticularly withregardtomulti-mass systemandnarrow-gaps. |
| | NotethattheReference 6.5.1ofthesubmittal onlydiscusses idealized simpleobjects.Oneshouldalsonotethat,inthereference, themodelassumesirrotational flowinthederivation whereassomeoftheexperiments performed inthereference 6.5.1realizedturbulence." |
| | Responseto4.Thedevelopment ofthefluidcouplingtermsinmulti-body (rack)motioninvolving smallrack-to-rack gapsispresented intheproprietary report,"FluidCouplinginFuelRacks:Correlation ofTheoryandExperiment, HoltecInternational ReportNo.HI-88243(1989),"whichisbeingprovidedtotheCommission inAttachment 2tothissubmittal undertheappropriate provisions forproprietary materials submitted onadocket.Thisdocumentprovidesthetheoretical basesandexperimental validation ofthefluidcouplingterms.Itshouldbenotedthatfluidcouplingtermsusedtoincorporate thecontribution ofwaterinrackdynamicsutilizeirrotational flowintheinterestofconservatism andtocomplywithUSNRCguidelines, inparticular theOTPositionpaper,whichdisallows anycreditforfluiddamping.Irrotational flowimpliesnoviscousdamping;infact,nodissipation ofenergyatall.Turbulence, wakeshedding, etc.,aremechanics ofenergyextraction thatareconservatively neglected intheanalysis. |
| | Thefluidcouplingeffect,therefore, merelyentailstransferofenergy(nolossofenergy)amongtheindividual racks.Themethodology is,therefore, uniformly conservative, Question5."Thegoverning equationofthemotionpresented inpages6-17isstatedtobearepresentative ofasystemoftwenty-two degreesoffreedom.Also,theyarehighlynonlinear becauseofgap,fluidstructure interaction andfrictiondamping.Theproprietary code"DYNARACK" issaidtoperformnumerical solutionoftheequationusingacentraldifference scheme.Wehavereviewedasimilarsubmittal intheFitzPatrick |
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| ==DearDr.Murley;PAttachment1tothislettercontainsourresponsestoyourstaff'sFebruary21,==
| | Attachment 1toAEP:NRC:1146C Page4application andhadseveralquestions withregardtothenumerical analysisofthefinitecentraldifference application. |
| 1992requestforadditionalinformationregardingtheproposedDonaldC.CookNuclearPlantspentfuelpoolreracking(TACNOS.M80615andM80616).Pleasecontactusshouldyourequireadditionalinformationorclarificationofourresponse.Attachment2tothislettercontainsinformationproprietarytoHoltecInternational.ItissupportedbyanaffidavitsignedbyHoltec,theowneroftheinformation.TheaffidavitsetsforththebasisonwhichtheinformationmaybewithheldfrompublicdisclosurebytheCommissionandaddresseswithspecificitytheconsiderationslistedinparagraph(b)(4)ofSection2.790oftheCommission'sregulations.Accordingly,itisrespectfullyrequestedthattheinformationwhichisproprietarytoHoltecbewithheldfrompublicdisclosureinaccordancewith10CFRSection2.790oftheCommission'sregulations.Additionally,membersoftheNRCstaffrequestedthat,forthisrerackproject,wecommittoDraftRegulatoryGuideDG-8006,"ControlofAccesstoHighandVeryHighRadiationAreasinNuclearPowerPlants,"datedOctober1991.Wewillcommittothisdraftregulatoryguideasitappliestothespentfuelpoolrerackingpro]ectlicenseamendmentrequestsubmittedinourletterAEP:NRC:1146datedJuly26,1991.Incompliancewiththerequirementsof10CFR50,91(b)(1),copiesofthisletteranditsattachmentshavebeentransmittedto9204060129920401PDRADOCK05000315PPDR Dr.T~E.Murley-2-AEP'NRC:1146CMr.J.R.PadgettoftheMichiganpublicServiceCommissionandtotheMichiganDepartmentofPublicHealth.ThisdocumenthasbeenpreparedfollowingCorporateproceduresthatincorporateareasonablesetofcontrolstoensureitsaccuracyandcompletenesspriortosignaturebytheundersigned.Sincerely,CC'4g~E.E.FitzparickVicePresidentanAttachmentsCC;D.H.Williams,Jr.(w/o)A.A.Blind-Bridgman(w/oAttachment2)J~R.Padgett(w/oAttachment2)G.Charnoff(w/o)NFEMSectionChief(w/oAttachment2)A.B.Davis-RegionIIINRCResidentInspector-Bridgman(w/oAttachment2)
| | Inparticular, forastablesystem(thisisdetermined byexperiments), |
| ATTACHMENT1TOAEP'NRC'1146CADDITIONALINFORMATIONDONALDC.COOKNUCLEARPLANTSPENTFUELPOOLRERACKING Attachment1toAEP:NRC:1146CPage1Question1."WithregardtoFigure2.2.1[sic],CookSpentFuelPoolLayout,pleasedescribeastowhatoccupieseachshadedareabyprovidingsizeofequipmentsandmachines,ifany.Also,providetheelevationoftheshadedareawithrespecttoadjacentpoolfloor.Istheelevationoftheshadedarealevelwiththepoolfloororrecessed?DiscussifthereisanybarrieraroundthecaskareatorestricttranslationalmovementofracksE4andG."Responseto1.InFigure2.1.1ofoursubmittalAEP:NRC:1146(Reference5),theshadedareaisthecaskhandlingarea.Thisareais.normallyemptyofallequipmentandmaterial.Theelevationofthecaskareais604'04"nominal.Thepoolfloorisatanelevationof606'h"nominal.ThereisnobarrieraroundthecaskareatopreventtranslationalmovementofracksE4andGasitisnotnecessary.Theresultsofthreerunsofthewholepoolmulti-rack(WPMR)analysisareprovidedinthelicensingreportinReference(5).ThemaximumdisplacementsofRack-E4(Rack18)andRack-G(Rack23)atrackbaseplatelevel,whichmaybetowardsthecaskarea,aresummarizedfromtheresultsinTablel.ItisclearfromTable1thatalargemarginexistsagainsttherackstippingintothecaskdepression.Question2."Providedrawingsfortheracksthatdepictdimensionsincludingthicknessofvariousmembers,'weldlocationsandsizes,weightoftheracksandfuelassembliessuchthatonemaybeabletoperformengineeringstresscalculations.Alsoprovidepooldimensionthatindicatesrelativepositionofrackstopoolincludingwaterlevelduringoperationand,also,duringrefueling."Responseto2.Attachment2tothissubmittalcontainsHoltecInternationalproprietarydrawings666-Revision3,667-Revision3,668-Revision3,and669-Revision2,whichdepictrackdimensionsincludingthicknessofvariousmembers,weldlocationsandsizesandweightoftheracks.DimensionandweightdataonfuelassembliescanbefoundinTables3.2.1-1and3.5.1-1oftheUnit1UFSARandTables3.1-1and3.3-1oftheUnit2UFSAR.PooldimensionsthatindicatetherelativepositionoftherackstothepoolaregiveninHoltecInternationalDrawing666.Thepoolfloorisatelevation606'1/2"nominalandthenormalwaterlevelisatelevation645'1/2".Highandlowwaterlevelalarmsareat645'3/4"and644'",respectively.Thepoolwaterlevelisnotafunctionofreactormodeofoperation,thusitisnominallythesameduringoperationandrefueling.
| | oneshoulddemonstrate thatthegoverning equationandthenumerical schemeis"wellposed"inaformdiscussed inReference 3.Otherwise, oneshoulddefinecarefully unstableregionsoftherackresponsefromexperiments anddemonstrate that"DYNARACK" simulates unstableresponseadequately andisabletoboundtheresultssuchthatitcanprovideaconservative design(References 1and2)."Alternatively, thefollowing information shouldbeprovidedtoresolvethequestions: |
| Attachment1toAEP:NRC:1146CPage2Question3."Inpages6-8,itisstatedthattheCoulombfrictionbetweentheracksandpoollinersmustbesimulatedbyappropriatepiecewiselinearspring.Provideexactmathematicalformulationofmodelandalsodiscusstheoreticalandexperimentalbasesforthemodel.DiscussyourrepresentationofCoulombfrictiondampingwiththemodeldiscussedinReference4andexplainthedifferences."Responseto3.TheclassicaldefinitionofCoulombfrictionis:F<RNwhereNisthenormalforceonthefrictioninterface,pisthecoefficientoffrictionandFisthesupportablelateralforceavailablefromfriction.TheCoulombfrictionforceisreactive,ratherthanactive.Inotherwords,itdevelopsonlytocounteractalaterallyappliedexternalforceanditsvaluecannotexceedthelesserofpNandtheappliedexternalforce,P;i.e.,referringtoFigure1:FAbsoluteMinimum(AMIN)[P,pN]werePandNareabsolutevalues.ThedirectionofFissuchastoopposethedirectionofactualorimpendingmotion.ItthereforefollowsthatthebodyAsubjecttogiveninterfaceloadNwillbegintoslideifthelateralloadreachespN.Thelateraldisplacement,8,ofbodyAwillhavetherelationshipdepictedbyFigure2,whichcanbewrittensymbolicallyas:0ifP<'pN~ifP>pN8canbeviewedastheslipbetweenthepoint0'nd0atthefrictioninterfaceinFigurel.The"ideal"Coulombfrictionforce-displacementprofileshowninFigure2canbewritteninamoregeneralizedformbyreferringtoFigure3:FAMIN[P,Kb],ifKb'pN,6'0-AMIN[P;pN];ifKb>pN,6=0whereKisthestiffnessofthetheoreticalspringconnectingpoint0and0'ttheinterfaceinFigure1.Reference[6.4.3]ofthelicensingreportinReference(5)statesthatthespringconstant,K,shouldbechosenanorderofmagnitudelargerthanthecharacteristicelasticstiffnessoftheinterfacestructure.
| | (a)Twoextremecasesoftherackboundaryconditions consistofonefullyfixedbaserackandtheothercasearackcompletely freeoffrictionatthebase.Rackresponsetothefullyfixedcasemayrepresent themostextremely stressedcasewhereas[sic]thecasewithfrictionless basemayproduceamaximumpotential ofaracktopoolwallortoanadjacentrack.Understanding ofthesetwoextremecaseswouldprovideaconfidence inassessing rackresponses. |
| Attachment1toAEP:NRC:1146CPage3TherelationshipexhibitedbytheaboveformulaistheCoulombpiecewiselinearspringutilizedinDYNARACK.ItisastandardprocedureinnumericalsimulationoffrictioninterfacesandissuccinctlydescribedinReference[6.4.3]inthelicensingreportinReference(5).Itisconsistentwiththemethodologydescribedintheliteratureonnonlineardynamicsincludingthereferencescitedintherequestforadditionalinformationandothertexts.Question4."Discussindetailwhatnumericalvaluesareusedforthehydrodynamicmasseswithassociateddiscretizedrackmass~Provideaquantitativediscussionastohowsuchvaluesarecalculatedincludingsupporting'xperimentalbasesparticularlywithregardtomulti-masssystemandnarrow-gaps.NotethattheReference6.5.1ofthesubmittalonlydiscussesidealizedsimpleobjects.Oneshouldalsonotethat,inthereference,themodelassumesirrotationalflowinthederivationwhereassomeoftheexperimentsperformedinthereference6.5.1realizedturbulence."Responseto4.Thedevelopmentofthefluidcouplingtermsinmulti-body(rack)motioninvolvingsmallrack-to-rackgapsispresentedintheproprietaryreport,"FluidCouplinginFuelRacks:CorrelationofTheoryandExperiment,HoltecInternationalReportNo.HI-88243(1989),"whichisbeingprovidedtotheCommissioninAttachment2tothissubmittalundertheappropriateprovisionsforproprietarymaterialssubmittedonadocket.Thisdocumentprovidesthetheoreticalbasesandexperimentalvalidationofthefluidcouplingterms.ItshouldbenotedthatfluidcouplingtermsusedtoincorporatethecontributionofwaterinrackdynamicsutilizeirrotationalflowintheinterestofconservatismandtocomplywithUSNRCguidelines,inparticulartheOTPositionpaper,whichdisallowsanycreditforfluiddamping.Irrotationalflowimpliesnoviscousdamping;infact,nodissipationofenergyatall.Turbulence,wakeshedding,etc.,aremechanicsofenergyextractionthatareconservativelyneglectedintheanalysis.Thefluidcouplingeffect,therefore,merelyentailstransferofenergy(nolossofenergy)amongtheindividualracks.Themethodologyis,therefore,uniformlyconservative,Question5."Thegoverningequationofthemotionpresentedinpages6-17isstatedtobearepresentativeofasystemoftwenty-twodegreesoffreedom.Also,theyarehighlynonlinearbecauseofgap,fluidstructureinteractionandfrictiondamping.Theproprietarycode"DYNARACK"issaidtoperformnumericalsolutionoftheequationusingacentraldifferencescheme.WehavereviewedasimilarsubmittalintheFitzPatrick
| | Pleaseprovidecalculations forthesecases.(b)Associated physicalexperiment performed byyouaswellasbyotherswhichwouldsupporttheadequacyandengineering validityofyouranalysiscode."Responseto5.Thenonlinear equationset,represented inmatrixdifferential equationformonpages6-17ofthelicensing reportinReference (5),wasreviewedbytheNRCintheJamesA.FitzPatrick submittal, aswellasmultipleotherdockets,andsubsequently approved. |
| | Overathousanddynamicsimulations ofspentfuelrackstructures wereperformed usingDYNARACKinsupportofpreviouslicensing submittals, andhundredsofanalysesbyothersusingothercomputercodeshaveuncovered noevidenceofdynamicinstability discernible insuchstructures. |
| | : DYNARACK, inparticular, hasbeentestedinawiderangeofnonlinear problemsandhasdemonstrated itsabilitytosimulateinstability inunstablesystemswithoutfail.TheDYNARACKValidation Manualdocuments thecapability andveracityofthiscodeincapturing nonlinear effects.Itissubmitted hereininAttachment 2,underproprietary provisions, toassistyouingainingconfidence inthisanalysiscode.Experiments arenottheonlyvehicletounderstand dynamicresponseofstructures; numerical methodsarewidelyrecognized asapowerfulandreliabletool.Thestandard Attachment 1toAEP:NRC:1146C Page5component elementformulation described inthetextbyLevy,et.al.,(Reference |
| | [6.4.3]ofthelicensing reportinReference (5))usestheclassical centraldifference discretization scheme.Thisformulation isusedinsolvingtechnical problemsreferenced inpermanent literature, asnotedintheDYNARACKValidation Manual.Thisformulation hasneverbeenreportedtosufferfromthedefectofbeing"ill-posed."Thereisnoevidence--technical, mathematical orheuristic--to suggestthattheDYNARACKsolutions donotboundtheactualrackresponse, orthatthemotionofhighdensityfuelracksisintrinsically unstable. |
| | Wetrustthattheaboveresponse, inconjunction withtheDYNARACKValidation Manual,clarifies theissueofstability ofracksandDYNARACK's abilitytosimulaterackmotions.Thealternative approach(a)suggested intheRAIdoesnotprovideacompleteproblemdefinition andisnon-linear ifthefuelintherackisnotfixed.Ourexperience withfuelrackdynamicsimulation suggeststhatboundingmodelsofthetypesuggested inalternative approach(a)areoflittlevalueinassessing dynamicresponses incloselyspacedhighdensityracklayouts.TheDYNARACKValidation Manualoffersvarioussimulations whichmore,directlyrelatetothedynamicresponses ofrackmodulesinrealistic scenarios. |
| | TheDYNARACKValidation ManualandHoltecReportHI-88243arebeingsubmitted tocomplywithitem(b)ofthealternative approach. |
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| Attachment1toAEP:NRC:1146CPage4applicationandhadseveralquestionswithregardtothenumericalanalysisofthefinitecentraldifferenceapplication.Inparticular,forastablesystem(thisisdeterminedbyexperiments),oneshoulddemonstratethatthegoverningequationandthenumericalschemeis"wellposed"inaformdiscussedinReference3.Otherwise,oneshoulddefinecarefullyunstableregionsoftherackresponsefromexperimentsanddemonstratethat"DYNARACK"simulatesunstableresponseadequatelyandisabletoboundtheresultssuchthatitcanprovideaconservativedesign(References1and2)."Alternatively,thefollowinginformationshouldbeprovidedtoresolvethequestions:(a)Twoextremecasesoftherackboundaryconditionsconsistofonefullyfixedbaserackandtheothercasearackcompletelyfreeoffrictionatthebase.Rackresponsetothefullyfixedcasemayrepresentthemostextremelystressedcasewhereas[sic]thecasewithfrictionlessbasemayproduceamaximumpotentialofaracktopoolwallortoanadjacentrack.Understandingofthesetwoextremecaseswouldprovideaconfidenceinassessingrackresponses.Pleaseprovidecalculationsforthesecases.(b)Associatedphysicalexperimentperformedbyyouaswellasbyotherswhichwouldsupporttheadequacyandengineeringvalidityofyouranalysiscode."Responseto5.Thenonlinearequationset,representedinmatrixdifferentialequationformonpages6-17ofthelicensingreportinReference(5),wasreviewedbytheNRCintheJamesA.FitzPatricksubmittal,aswellasmultipleotherdockets,andsubsequentlyapproved.OverathousanddynamicsimulationsofspentfuelrackstructureswereperformedusingDYNARACKinsupportofpreviouslicensingsubmittals,andhundredsofanalysesbyothersusingothercomputercodeshaveuncoverednoevidenceofdynamicinstabilitydiscernibleinsuchstructures.DYNARACK,inparticular,hasbeentestedinawiderangeofnonlinearproblemsandhasdemonstrateditsabilitytosimulateinstabilityinunstablesystemswithoutfail.TheDYNARACKValidationManualdocumentsthecapabilityandveracityofthiscodeincapturingnonlineareffects.ItissubmittedhereininAttachment2,underproprietaryprovisions,toassistyouingainingconfidenceinthisanalysiscode.Experimentsarenottheonlyvehicletounderstanddynamicresponseofstructures;numericalmethodsarewidelyrecognizedasapowerfulandreliabletool.Thestandard Attachment1toAEP:NRC:1146CPage5componentelementformulationdescribedinthetextbyLevy,et.al.,(Reference[6.4.3]ofthelicensingreportinReference(5))usestheclassicalcentraldifferencediscretizationscheme.Thisformulationisusedinsolvingtechnicalproblemsreferencedinpermanentliterature,asnotedintheDYNARACKValidationManual.Thisformulationhasneverbeenreportedtosufferfromthedefectofbeing"ill-posed."Thereisnoevidence--technical,mathematicalorheuristic--tosuggestthattheDYNARACKsolutionsdonotboundtheactualrackresponse,orthatthemotionofhighdensityfuelracksisintrinsicallyunstable.Wetrustthattheaboveresponse,inconjunctionwiththeDYNARACKValidationManual,clarifiestheissueofstabilityofracksandDYNARACK'sabilitytosimulaterackmotions.Thealternativeapproach(a)suggestedintheRAIdoesnotprovideacompleteproblemdefinitionandisnon-linearifthefuelintherackisnotfixed.Ourexperiencewithfuelrackdynamicsimulationsuggeststhatboundingmodelsofthetypesuggestedinalternativeapproach(a)areoflittlevalueinassessingdynamicresponsesincloselyspacedhighdensityracklayouts.TheDYNARACKValidationManualoffersvarioussimulationswhichmore,directlyrelatetothedynamicresponsesofrackmodulesinrealisticscenarios.TheDYNARACKValidationManualandHoltecReportHI-88243arebeingsubmittedtocomplywithitem(b)ofthealternativeapproach.
| | ==References:== |
|
| |
|
| ==References:==
| | (1)Holems,P.J.,andShaw,S.W.,"APeriodically ForcesPiecewise LinearOscillator," |
| (1)Holems,P.J.,andShaw,S.W.,"APeriodicallyForcesPiecewiseLinearOscillator,"JournalofSoundandVibration1983.(2)Thompson,J.M.T.,andGhaffari,R.,"ChaosAfterPeriod-DoublingBifarcationsintheResonanceofanImpactOscillator,"PhsicsLetters,1982(Vol.2A,Number1).(3)Issacson,E.,andKeller,H.B.,"AnalsisofNumericalMethods,"JohnWilyandSons,NewYork1966.(4)Stoker,J.J.,"NonlinearVibrations,"IntersciencePublishers,NewYork1966.(5)Letter,AEP:NRC:1146,E.E.FitzpatricktoT.E.Murley,July26,1991,anditsattachment,"LicensingReportforStorageDensificationofD.CDCookSpentFuelPool,"HoltecInternational. | | JournalofSoundandVibration 1983.(2)Thompson, J.M.T.,andGhaffari, R.,"ChaosAfterPeriod-Doubling Bifarcations intheResonance ofanImpactOscillator," |
| Attachment1toAEP:NRC:1146CPage6TABLE1MAXIMUMDISPLACEMENTOFPEDESTALPROXIMATETOTHECASKAREAWPMRAnalysisRunI.D.LoadingCaseRackE-4inN-SDirection(inch)Rack-GinE-WDirection(inch)MplRegularfuel,fullyloaded;DBEseismicfrictioncoeff.0.20.096930.04812MP2MP3Regularfuel,fullyloaded;DBEseismic,frictioncoeff.-randomRegularfuel,fullyloaded;DBEseismic,frictioncoeff.0.80.19130.45260.23880.1033RequiredPedestalMovementforpivotingattheedgeofthecaskareadepression8.6910.76 (REACTIVEFRICTIONFORCE)FFIGIJRElOANOO'RECONTIGOOI.ISPOINTSONTHEFRICTIONINTERFACE0P(EXTERNALLYAPPLIEOFORCE)AOISPLACENENTFIGORE2OISPLCENENTFIGORE3
| | PhsicsLetters,1982(Vol.2A,Number1).(3)Issacson, E.,andKeller,H.B.,"AnalsisofNumerical Methods," |
| -r"gt~'p ATTACHMENT2TOAEP:NRC:1146CHOLTECINTERNATIONALPROPRIETARYDRAWINGS(666-R3,667-R3,668-R3AND669-R2),'OLTECINTERNATIONALPROPRIETARYREPORTHI-88243(1989),DYNARACKVALIDATIONMANUALHI-91700(1991),ANDACCOMPANYINGAFFIDAVIT}} | | JohnWilyandSons,NewYork1966.(4)Stoker,J.J.,"Nonlinear Vibrations," |
| | Interscience Publishers, NewYork1966.(5)Letter,AEP:NRC:1146, E.E.Fitzpatrick toT.E.Murley,July26,1991,anditsattachment, "Licensing ReportforStorageDensification ofD.CDCookSpentFuelPool,"HoltecInternational. |
| | Attachment 1toAEP:NRC:1146C Page6TABLE1MAXIMUMDISPLACEMENT OFPEDESTALPROXIMATE TOTHECASKAREAWPMRAnalysisRunI.D.LoadingCaseRackE-4inN-SDirection (inch)Rack-GinE-WDirection (inch)MplRegularfuel,fullyloaded;DBEseismicfrictioncoeff.0.20.096930.04812MP2MP3Regularfuel,fullyloaded;DBEseismic,frictioncoeff.-randomRegularfuel,fullyloaded;DBEseismic,frictioncoeff.0.80.19130.45260.23880.1033RequiredPedestalMovementforpivotingattheedgeofthecaskareadepression 8.6910.76 (REACTIVEFRICTIONFORCE)FFIGIJRElOANOO'RECONTIGOOI.IS POINTSONTHEFRICTIONINTERFACE 0P(EXTERNALLY APPLIEOFORCE)AOISPLACENENT FIGORE2OISPLCENENT FIGORE3 |
| | -r"gt~'p ATTACHMENT 2TOAEP:NRC:1146C HOLTECINTERNATIONAL PROPRIETARY DRAWINGS(666-R3,667-R3,668-R3AND669-R2),'OLTECINTERNATIONAL PROPRIETARY REPORTHI-88243(1989),DYNARACKVALIDATION MANUALHI-91700(1991),ANDACCOMPANYING AFFIDAVIT}} |
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Withdraws Response to Issue 1 of NRC Cal,Dtd 970919. Comprehensive Design Review Effort in Progress to Validate Resolution of Issue for Future Operation
1999-09-30
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-.-ACCELERATED DISTRJBUTION DEMONSTPWTION SYSTEMREGULRTOINFORMATION DISTRIBUTION TEM(RIDE)ACCESSION NBR:9204060129 DOC.DATE:
92/04/01NOTARIZED:
YESDOCKETFACIL:50-315 "DonaldC.CookNuclearPowerPlant,Unit1,IndianaM0500031550-316DonaldC.CookNuclearPowerPlant,Unit2,IndianaM05000316AUTH.NAMEAUTHORAFFILIATION FITZPATRICK,E.
IndianaMichiganPowerCo.(formerly Indiana&MichiganEleRECIP.NAME RECIPIENT AFFILIATION MURLEY,T.E.
DocumentControlBranch(Document ControlDesk)/
SUBJECT:
RespondstoNRCrequestforaddiinforeproposedplantspentfuelpoolreracking aforwardsproprietary Rev1toHI-88243, "FluidCouplinginFuelRacks..."
6HI-91700, "Dynarack Validation...."
Reptswithheld(ref10CFR2.790).
DISTRIBUTION CODE:AP01DCOPIESRECEIVED:LTR ENCLSIZE:TITLE:Proprietary ReviewDistribution.
-Operating ReactorNOTES:gP~g~peyr-7g RECIPIENT IDCODE/NAME PD3-1LASTANG,JINTERNAL'Ee0R'FILE01EXTERNAL:
NRCPDRIfCOPIESLTTRENCL11'3111'ApRECIPIENT IDCODE/NAME PD3-1PDOGC/HDS2COPIESLTTRENCL1110NOTETOALL"RIDS"RECIPIENTS:
PLEASEHELPUSTOREDUCEWAFIHCONTACTTHEDOCUMENTCONTROLDESK.ROOMPl-37(EXT.20079)TOELIMINATE YOURNAMEFROMDISTRIBUTION LISTSFORDOCUMENTS YOUDON'TNEEDITOTALNUMBEROFCOPIESREQUIRED:
LTTR9ENCL7 IndianaMichiganPowerCompanyP.O.Box16631Coiumbus, OH43216INEMBNANfCIMISANNaOWMAEP:NRC:1146C DonaldC.CookNuclearPlantUnits1and2DocketNos.50-315and50-316LicenseNos.DPR-58andDPR-74SPENTFUELPOOLRERACKING RESPONSETOREQUESTFORADDITIONAL INFORMATION U.S.NuclearRegulatory Commission DocumentControlDeskWashington, D.C.20555Attention:
T.E.MurleyApril1,1992DearDr.Murley;PAttachment 1tothislettercontainsourresponses toyourstaff'sFebruary21,1992requestforadditional information regarding theproposedDonaldC.CookNuclearPlantspentfuelpoolreracking (TACNOS.M80615andM80616).Pleasecontactusshouldyourequireadditional information orclarification ofourresponse.
Attachment 2tothislettercontainsinformation proprietary toHoltecInternational.
Itissupported byanaffidavit signedbyHoltec,theowneroftheinformation.
Theaffidavit setsforththebasisonwhichtheinformation maybewithheldfrompublicdisclosure bytheCommission andaddresses withspecificity theconsiderations listedinparagraph (b)(4)ofSection2.790oftheCommission's regulations.
Accordingly, itisrespectfully requested thattheinformation whichisproprietary toHoltecbewithheldfrompublicdisclosure inaccordance with10CFRSection2.790oftheCommission's regulations.
Additionally, membersoftheNRCstaffrequested that,forthisrerackproject,wecommittoDraftRegulatory GuideDG-8006,"ControlofAccesstoHighandVeryHighRadiation AreasinNuclearPowerPlants,"datedOctober1991.Wewillcommittothisdraftregulatory guideasitappliestothespentfuelpoolreracking pro]ectlicenseamendment requestsubmitted inourletterAEP:NRC:1146 datedJuly26,1991.Incompliance withtherequirements of10CFR50,91(b)(1),
copiesofthisletteranditsattachments havebeentransmitted to9204060129 920401PDRADOCK05000315PPDR Dr.T~E.Murley-2-AEP'NRC:1146C Mr.J.R.PadgettoftheMichiganpublicServiceCommission andtotheMichiganDepartment ofPublicHealth.Thisdocumenthasbeenpreparedfollowing Corporate procedures thatincorporate areasonable setofcontrolstoensureitsaccuracyandcompleteness priortosignature bytheundersigned.
Sincerely, CC'4g~E.E.FitzparickVicePresident anAttachments CC;D.H.Williams, Jr.(w/o)A.A.Blind-Bridgman(w/oAttachment 2)J~R.Padgett(w/oAttachment 2)G.Charnoff(w/o)NFEMSectionChief(w/oAttachment 2)A.B.Davis-RegionIIINRCResidentInspector
-Bridgman(w/oAttachment
- 2)
ATTACHMENT 1TOAEP'NRC'1146C ADDITIONAL INFORMATION DONALDC.COOKNUCLEARPLANTSPENTFUELPOOLRERACKING Attachment 1toAEP:NRC:1146C Page1Question1."WithregardtoFigure2.2.1[sic],CookSpentFuelPoolLayout,pleasedescribeastowhatoccupieseachshadedareabyproviding sizeofequipments andmachines, ifany.Also,providetheelevation oftheshadedareawithrespecttoadjacentpoolfloor.Istheelevation oftheshadedarealevelwiththepoolfloororrecessed?
Discussifthereisanybarrieraroundthecaskareatorestricttranslational movementofracksE4andG."Responseto1.InFigure2.1.1ofoursubmittal AEP:NRC:1146 (Reference 5),theshadedareaisthecaskhandlingarea.Thisareais.normallyemptyofallequipment andmaterial.
Theelevation ofthecaskareais604'04"nominal.Thepoolfloorisatanelevation of606'h"nominal.Thereisnobarrieraroundthecaskareatopreventtranslational movementofracksE4andGasitisnotnecessary.
Theresultsofthreerunsofthewholepoolmulti-rack (WPMR)analysisareprovidedinthelicensing reportinReference (5).Themaximumdisplacements ofRack-E4(Rack18)andRack-G(Rack23)atrackbaseplate level,whichmaybetowardsthecaskarea,aresummarized fromtheresultsinTablel.ItisclearfromTable1thatalargemarginexistsagainsttherackstippingintothecaskdepression.
Question2."Providedrawingsfortheracksthatdepictdimensions including thickness ofvariousmembers,'weldlocations andsizes,weightoftheracksandfuelassemblies suchthatonemaybeabletoperformengineering stresscalculations.
Alsoprovidepooldimension thatindicates relativepositionofrackstopoolincluding waterlevelduringoperation and,also,duringrefueling."
Responseto2.Attachment 2tothissubmittal containsHoltecInternational proprietary drawings666-Revision 3,667-Revision 3,668-Revision3,and669-Revision 2,whichdepictrackdimensions including thickness ofvariousmembers,weldlocations andsizesandweightoftheracks.Dimension andweightdataonfuelassemblies canbefoundinTables3.2.1-1and3.5.1-1oftheUnit1UFSARandTables3.1-1and3.3-1oftheUnit2UFSAR.Pooldimensions thatindicatetherelativepositionoftherackstothepoolaregiveninHoltecInternational Drawing666.Thepoolfloorisatelevation 606'1/2"nominalandthenormalwaterlevelisatelevation 645'1/2".Highandlowwaterlevelalarmsareat645'3/4"and644'",respectively.
Thepoolwaterlevelisnotafunctionofreactormodeofoperation, thusitisnominally thesameduringoperation andrefueling.
Attachment 1toAEP:NRC:1146C Page2Question3."Inpages6-8,itisstatedthattheCoulombfrictionbetweentheracksandpoollinersmustbesimulated byappropriate piecewise linearspring.Provideexactmathematical formulation ofmodelandalsodiscusstheoretical andexperimental basesforthemodel.Discussyourrepresentation ofCoulombfrictiondampingwiththemodeldiscussed inReference 4andexplainthedifferences."
Responseto3.Theclassical definition ofCoulombfrictionis:F<RNwhereNisthenormalforceonthefrictioninterface, pisthecoefficient offrictionandFisthesupportable lateralforceavailable fromfriction.
TheCoulombfrictionforceisreactive, ratherthanactive.Inotherwords,itdevelopsonlytocounteract alaterally appliedexternalforceanditsvaluecannotexceedthelesserofpNandtheappliedexternalforce,P;i.e.,referring toFigure1:FAbsoluteMinimum(AMIN)[P,pN]werePandNareabsolutevalues.Thedirection ofFissuchastoopposethedirection ofactualorimpending motion.Ittherefore followsthatthebodyAsubjecttogiveninterface loadNwillbegintoslideifthelateralloadreachespN.Thelateraldisplacement, 8,ofbodyAwillhavetherelationship depictedbyFigure2,whichcanbewrittensymbolically as:0ifP<'pN~ifP>pN8canbeviewedastheslipbetweenthepoint0'nd0atthefrictioninterface inFigurel.The"ideal"Coulombfrictionforce-displacement profileshowninFigure2canbewritteninamoregeneralized formbyreferring toFigure3:FAMIN[P,Kb],ifKb'pN,6'0-AMIN[P;pN];ifKb>pN,6=0whereKisthestiffness ofthetheoretical springconnecting point0and0'ttheinterface inFigure1.Reference
[6.4.3]ofthelicensing reportinReference (5)statesthatthespringconstant, K,shouldbechosenanorderofmagnitude largerthanthecharacteristic elasticstiffness oftheinterface structure.
Attachment 1toAEP:NRC:1146C Page3Therelationship exhibited bytheaboveformulaistheCoulombpiecewise linearspringutilizedinDYNARACK.
Itisastandardprocedure innumerical simulation offrictioninterfaces andissuccinctly described inReference
[6.4.3]inthelicensing reportinReference (5).Itisconsistent withthemethodology described intheliterature onnonlinear dynamicsincluding thereferences citedintherequestforadditional information andothertexts.Question4."Discussindetailwhatnumerical valuesareusedforthehydrodynamic masseswithassociated discretized rackmass~Provideaquantitative discussion astohowsuchvaluesarecalculated including supporting'xperimental basesparticularly withregardtomulti-mass systemandnarrow-gaps.
NotethattheReference 6.5.1ofthesubmittal onlydiscusses idealized simpleobjects.Oneshouldalsonotethat,inthereference, themodelassumesirrotational flowinthederivation whereassomeoftheexperiments performed inthereference 6.5.1realizedturbulence."
Responseto4.Thedevelopment ofthefluidcouplingtermsinmulti-body (rack)motioninvolving smallrack-to-rack gapsispresented intheproprietary report,"FluidCouplinginFuelRacks:Correlation ofTheoryandExperiment, HoltecInternational ReportNo.HI-88243(1989),"whichisbeingprovidedtotheCommission inAttachment 2tothissubmittal undertheappropriate provisions forproprietary materials submitted onadocket.Thisdocumentprovidesthetheoretical basesandexperimental validation ofthefluidcouplingterms.Itshouldbenotedthatfluidcouplingtermsusedtoincorporate thecontribution ofwaterinrackdynamicsutilizeirrotational flowintheinterestofconservatism andtocomplywithUSNRCguidelines, inparticular theOTPositionpaper,whichdisallows anycreditforfluiddamping.Irrotational flowimpliesnoviscousdamping;infact,nodissipation ofenergyatall.Turbulence, wakeshedding, etc.,aremechanics ofenergyextraction thatareconservatively neglected intheanalysis.
Thefluidcouplingeffect,therefore, merelyentailstransferofenergy(nolossofenergy)amongtheindividual racks.Themethodology is,therefore, uniformly conservative, Question5."Thegoverning equationofthemotionpresented inpages6-17isstatedtobearepresentative ofasystemoftwenty-two degreesoffreedom.Also,theyarehighlynonlinear becauseofgap,fluidstructure interaction andfrictiondamping.Theproprietary code"DYNARACK" issaidtoperformnumerical solutionoftheequationusingacentraldifference scheme.Wehavereviewedasimilarsubmittal intheFitzPatrick
Attachment 1toAEP:NRC:1146C Page4application andhadseveralquestions withregardtothenumerical analysisofthefinitecentraldifference application.
Inparticular, forastablesystem(thisisdetermined byexperiments),
oneshoulddemonstrate thatthegoverning equationandthenumerical schemeis"wellposed"inaformdiscussed inReference 3.Otherwise, oneshoulddefinecarefully unstableregionsoftherackresponsefromexperiments anddemonstrate that"DYNARACK" simulates unstableresponseadequately andisabletoboundtheresultssuchthatitcanprovideaconservative design(References 1and2)."Alternatively, thefollowing information shouldbeprovidedtoresolvethequestions:
(a)Twoextremecasesoftherackboundaryconditions consistofonefullyfixedbaserackandtheothercasearackcompletely freeoffrictionatthebase.Rackresponsetothefullyfixedcasemayrepresent themostextremely stressedcasewhereas[sic]thecasewithfrictionless basemayproduceamaximumpotential ofaracktopoolwallortoanadjacentrack.Understanding ofthesetwoextremecaseswouldprovideaconfidence inassessing rackresponses.
Pleaseprovidecalculations forthesecases.(b)Associated physicalexperiment performed byyouaswellasbyotherswhichwouldsupporttheadequacyandengineering validityofyouranalysiscode."Responseto5.Thenonlinear equationset,represented inmatrixdifferential equationformonpages6-17ofthelicensing reportinReference (5),wasreviewedbytheNRCintheJamesA.FitzPatrick submittal, aswellasmultipleotherdockets,andsubsequently approved.
Overathousanddynamicsimulations ofspentfuelrackstructures wereperformed usingDYNARACKinsupportofpreviouslicensing submittals, andhundredsofanalysesbyothersusingothercomputercodeshaveuncovered noevidenceofdynamicinstability discernible insuchstructures.
- DYNARACK, inparticular, hasbeentestedinawiderangeofnonlinear problemsandhasdemonstrated itsabilitytosimulateinstability inunstablesystemswithoutfail.TheDYNARACKValidation Manualdocuments thecapability andveracityofthiscodeincapturing nonlinear effects.Itissubmitted hereininAttachment 2,underproprietary provisions, toassistyouingainingconfidence inthisanalysiscode.Experiments arenottheonlyvehicletounderstand dynamicresponseofstructures; numerical methodsarewidelyrecognized asapowerfulandreliabletool.Thestandard Attachment 1toAEP:NRC:1146C Page5component elementformulation described inthetextbyLevy,et.al.,(Reference
[6.4.3]ofthelicensing reportinReference (5))usestheclassical centraldifference discretization scheme.Thisformulation isusedinsolvingtechnical problemsreferenced inpermanent literature, asnotedintheDYNARACKValidation Manual.Thisformulation hasneverbeenreportedtosufferfromthedefectofbeing"ill-posed."Thereisnoevidence--technical, mathematical orheuristic--to suggestthattheDYNARACKsolutions donotboundtheactualrackresponse, orthatthemotionofhighdensityfuelracksisintrinsically unstable.
Wetrustthattheaboveresponse, inconjunction withtheDYNARACKValidation Manual,clarifies theissueofstability ofracksandDYNARACK's abilitytosimulaterackmotions.Thealternative approach(a)suggested intheRAIdoesnotprovideacompleteproblemdefinition andisnon-linear ifthefuelintherackisnotfixed.Ourexperience withfuelrackdynamicsimulation suggeststhatboundingmodelsofthetypesuggested inalternative approach(a)areoflittlevalueinassessing dynamicresponses incloselyspacedhighdensityracklayouts.TheDYNARACKValidation Manualoffersvarioussimulations whichmore,directlyrelatetothedynamicresponses ofrackmodulesinrealistic scenarios.
TheDYNARACKValidation ManualandHoltecReportHI-88243arebeingsubmitted tocomplywithitem(b)ofthealternative approach.
References:
(1)Holems,P.J.,andShaw,S.W.,"APeriodically ForcesPiecewise LinearOscillator,"
JournalofSoundandVibration 1983.(2)Thompson, J.M.T.,andGhaffari, R.,"ChaosAfterPeriod-Doubling Bifarcations intheResonance ofanImpactOscillator,"
PhsicsLetters,1982(Vol.2A,Number1).(3)Issacson, E.,andKeller,H.B.,"AnalsisofNumerical Methods,"
JohnWilyandSons,NewYork1966.(4)Stoker,J.J.,"Nonlinear Vibrations,"
Interscience Publishers, NewYork1966.(5)Letter,AEP:NRC:1146, E.E.Fitzpatrick toT.E.Murley,July26,1991,anditsattachment, "Licensing ReportforStorageDensification ofD.CDCookSpentFuelPool,"HoltecInternational.
Attachment 1toAEP:NRC:1146C Page6TABLE1MAXIMUMDISPLACEMENT OFPEDESTALPROXIMATE TOTHECASKAREAWPMRAnalysisRunI.D.LoadingCaseRackE-4inN-SDirection (inch)Rack-GinE-WDirection (inch)MplRegularfuel,fullyloaded;DBEseismicfrictioncoeff.0.20.096930.04812MP2MP3Regularfuel,fullyloaded;DBEseismic,frictioncoeff.-randomRegularfuel,fullyloaded;DBEseismic,frictioncoeff.0.80.19130.45260.23880.1033RequiredPedestalMovementforpivotingattheedgeofthecaskareadepression 8.6910.76 (REACTIVEFRICTIONFORCE)FFIGIJRElOANOO'RECONTIGOOI.IS POINTSONTHEFRICTIONINTERFACE 0P(EXTERNALLY APPLIEOFORCE)AOISPLACENENT FIGORE2OISPLCENENT FIGORE3
-r"gt~'p ATTACHMENT 2TOAEP:NRC:1146C HOLTECINTERNATIONAL PROPRIETARY DRAWINGS(666-R3,667-R3,668-R3AND669-R2),'OLTECINTERNATIONAL PROPRIETARY REPORTHI-88243(1989),DYNARACKVALIDATION MANUALHI-91700(1991),ANDACCOMPANYING AFFIDAVIT
