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{{#Wiki_filter:'(IV97).NUCLEARENGINEERINGDEPARTHENTCalculationCoverSheetCookNuclearPlantSHEETIOFQElectricalSystems/ComonentsCALCULATIONNo.P5C8LE-OOSAFETYRELATEDYES~NOSYSTEM8"/TITLE7brs~~a~rR~Pa~ry'ZRazuuaRFC/MM/PM/PR/CR/TMNo.FILELOCATIONINDIANAMICHIGANPOWERCOMPANYUNITNo./~ZCALCULATEDBY:VERIFIEDBY:APPROVEDBY:gD-/o-pDATEDATEDATECALCULATIONDESCRIPTION:dvi'ernu'lare4oesN8/rouM'ETHOOOFYfRIFICATION:ALTERNATECALCULATIONvREYIEWREVISIONNO.REASONFORCHANGECalculated8OateVerifled8OateApproved8Date97ii2802i797ii24PDRADOCKQ50003i5PDR
{{#Wiki_filter:'(IV97).NUCLEARENGINEERING DEPARTHENT Calculation CoverSheetCookNuclearPlantSHEETIOFQElectrical Systems/Com onentsCALCULATION No.P5C8LE-OOSAFETYRELATEDYES~NOSYSTEM8"/TITLE7brs~~a~r R~Pa~ry'ZRazuua RFC/MM/PM/PR/CR/TM No.FILELOCATIONINDIANAMICHIGANPOWERCOMPANYUNITNo./~ZCALCULATED BY:VERIFIEDBY:APPROVEDBY:gD-/o-pDATEDATEDATECALCULATION DESCRIPTION:
dvi'ernu'lare4oesN8/rouM'ETHOOOFYfRIFICATION:ALTERNATE CALCULATION vREYIEWREVISIONNO.REASONFORCHANGECalculated 8OateVerifled8OateApproved8Date97ii2802i7 97ii24PDRADOCKQ50003i5PDR


1.0Thiscalculationreviewstheampacityderatingofallcablesinpowertray,protectedwith1-hourThermo-lag.Theampacityderatingisreviewedfromtwoperspectives,developmentofcorrectionfactorsandthecomparisonoftrayloadstotestresults.ThecablesandtheirtrayareidentifiedinAttachmentl.2.0IFTThederatingapproachforanalyzingtheampacityofcablesintraywrappedwithThermo-lagistwotiered.First,cableshavebeenderatedforplacementinatraywithothercables,inaccordancewithamaintainedspacingcorrectionfactorderivedfromIPCEAP-46-426,TableVII.Thisfactorhasbeenappliedtotheopenairampacityoftherespectivecables.Second,theTexasUtilities(TU)Thermo-lagderatingfactorof32%hasbeenconservativelyappliedtotherespectivederatedcableampacitytoaccountfortheThermo-lagthermalbarrierinstalledaroundthesubjecttrays.Thisapproachderateseachcablefirsttoaccountforitsphysicalplacement,andsecondlytoaccountforThermo-lag.3.0~A@3.1DesignStandard1-2-EDS-642directsthatallpowercablesshallbeconfiguredinasinglelayerwithmaintainedspacingwheninstalledinapowertray.AllcablesintrayswrappedwithThermo-laghavebeenderatedinaccordancewithIPCEAP-46-426becauseofit'treatmentofcableswithmaintainedspacing.ICEAP-54-440wasnotusedbecauseitwasdevelopedforfullyloadedcableswithnospacebetweenthem.Acorrectionfactorof0.8hasbeenderivedfromIPCEAP-46-426,TableVIItoaccountforconfigurationsof12ormorehorizontalcablesinasinglelayer.This'correctionfactorhasbeenappliedtoallcablesintrayswrappedwithone-hourThermo-lag,excepttray1AI-P4wherean0.87correctionfactorhasbeenused(onlythreecablespresentintray).ThesederatedampacitiesarelistedinAttachment1.PS-CABLE-001Rev.0Page2of6 InordertopredictcorrectionfactorsforfillsgreaterthanthosediscussedinIPCEAP-46-426(upto6horizontalcables),itisnecessarytodeterminetheimpacttheneighboringcableswillhaveonthecableofconcern.Theworstconditioniswhenthecableofconcernisinthecenterofthecablegroup.Thecorrectionfactorsforthecablesareexpectedtobeinfluencedbytwofactors,thechangeintheeffectiveambienttemperaturecausedbytheheatgeneratedbytheothercablesinthetrayandthechangesinthethermalresistancefromthecentercabletotheambientduetothepresenceoftheneighboringcableswhichimpactthermalconvectionandradiationfromthecabletotheambient.AsnotedintheIPCEAtable,thecablesdirectlyadjacenttothecableofconcernhavethehighestimpact(a13%reductionforthefirsttwocablesdirectlyadjacenttothecentercable).Asthenumberofcablesincrease,theimpactontheenvironmentofthecableofconcernisreducedduetothephysicalseparationthatexists,andtherefore,thecorrectionfactorisreducedbyonly1%fortheadditionofaflAhorsixthcableintheraceway.Itisexpectedthattherewillbeapointwheretheadditionofcablesinthehorizontalplanewillnolongerinfluencetheenvironmentofthecableofconcernandwillresultinnoadditionalcablederating.Hence,thecorrectionfactorwillreachalimitthatitdoes'notfallbelow,regardlessofthenumberofcablesinthehorizontalpath.MATHCADsoftwarewasusedtodeterminethecorrectionfactorof0.8.First,amathematicalmodelwasdevelopedwhichrepresentsthecorrectionfactorsalreadyidentifiedintheIPCEAstandard.Themodelconsistsofthreecomponents.Thefirstisanexponentialtermtoreflecttheeffectoftheincreaseinthecablethermalresistanceduetoadjoiningcables,thesecondisalsoanexponentialtermthatreflectstheeffectofadditionalheatgenerationintheraceway,andthethirdisaconstanttorepresentthelimitingvalueofthederatingmultiplier.MATHCADwasthenutilizedtocalibratethismodelutilizingtheknowncorrectionfactorsintheIPCEAstandardandtocalculatethecorrectionfactorsforquantitiesofcablesgreaterthanthemaximumvalueof6.Theresultofthismathematicalmodeldeterminedthatafter12cables,thecorrectionfactorremainedconstantat0.8.Therefore,aconservativederatingfactorof0.8canbeusedforfillsgreaterthan6cables.TheMATHCADfileandresultscanbefoundinAttachment2';Thismodelassumesthatallcablesarecarryingtheirrespectiveratedampacity.Ifacableiscarryinglittleornocurrent,thenthereisnosignificantincreaseintheambienttemperature.Hence,theeffectontheenvironmentofthecableofconcernisnegligible,ThemajorityofcablesatD.C.Cookplantarelightlyloadedandthereforethecorrectionfactorof0.8isconservative.PS-CABLE-001Rev.0Page3of6  
==1.0 Thiscalculation==
reviewstheampacityderatingofallcablesinpowertray,protected with1-hourThermo-lag.
Theampacityderatingisreviewedfromtwoperspectives, development ofcorrection factorsandthecomparison oftrayloadstotestresults.Thecablesandtheirtrayareidentified inAttachment l.2.0IFTThederatingapproachforanalyzing theampacityofcablesintraywrappedwithThermo-lagistwotiered.First,cableshavebeenderatedforplacement inatraywithothercables,inaccordance withamaintained spacingcorrection factorderivedfromIPCEAP-46-426, TableVII.Thisfactorhasbeenappliedtotheopenairampacityoftherespective cables.Second,theTexasUtilities (TU)Thermo-lag deratingfactorof32%hasbeenconservatively appliedtotherespective deratedcableampacitytoaccountfortheThermo-lag thermalbarrierinstalled aroundthesubjecttrays.Thisapproachderateseachcablefirsttoaccountforitsphysicalplacement, andsecondlytoaccountforThermo-lag.
3.0~A@3.1DesignStandard1-2-EDS-642 directsthatallpowercablesshallbeconfigured inasinglelayerwithmaintained spacingwheninstalled inapowertray.AllcablesintrayswrappedwithThermo-lag havebeenderatedinaccordance withIPCEAP-46-426becauseofit'treatment ofcableswithmaintained spacing.ICEAP-54-440wasnotusedbecauseitwasdeveloped forfullyloadedcableswithnospacebetweenthem.Acorrection factorof0.8hasbeenderivedfromIPCEAP-46-426, TableVIItoaccountforconfigurations of12ormorehorizontal cablesinasinglelayer.This'correction factorhasbeenappliedtoallcablesintrayswrappedwithone-hourThermo-lag, excepttray1AI-P4wherean0.87correction factorhasbeenused(onlythreecablespresentintray).Thesederatedampacities arelistedinAttachment 1.PS-CABLE-001 Rev.0Page2of6 Inordertopredictcorrection factorsforfillsgreaterthanthosediscussed inIPCEAP-46-426(upto6horizontal cables),itisnecessary todetermine theimpacttheneighboring cableswillhaveonthecableofconcern.Theworstcondition iswhenthecableofconcernisinthecenterofthecablegroup.Thecorrection factorsforthecablesareexpectedtobeinfluenced bytwofactors,thechangeintheeffective ambienttemperature causedbytheheatgenerated bytheothercablesinthetrayandthechangesinthethermalresistance fromthecentercabletotheambientduetothepresenceoftheneighboring cableswhichimpactthermalconvection andradiation fromthecabletotheambient.AsnotedintheIPCEAtable,thecablesdirectlyadjacenttothecableofconcernhavethehighestimpact(a13%reduction forthefirsttwocablesdirectlyadjacenttothecentercable).Asthenumberofcablesincrease, theimpactontheenvironment ofthecableofconcernisreducedduetothephysicalseparation thatexists,andtherefore, thecorrection factorisreducedbyonly1%fortheadditionofaflAhorsixthcableintheraceway.Itisexpectedthattherewillbeapointwheretheadditionofcablesinthehorizontal planewillnolongerinfluence theenvironment ofthecableofconcernandwillresultinnoadditional cablederating.
Hence,thecorrection factorwillreachalimitthatitdoes'notfallbelow,regardless ofthenumberofcablesinthehorizontal path.MATHCADsoftwarewasusedtodetermine thecorrection factorof0.8.First,amathematical modelwasdeveloped whichrepresents thecorrection factorsalreadyidentified intheIPCEAstandard.
Themodelconsistsofthreecomponents
.Thefirstisanexponential termtoreflecttheeffectoftheincreaseinthecablethermalresistance duetoadjoining cables,thesecondisalsoanexponential termthatreflectstheeffectofadditional heatgeneration intheraceway,andthethirdisaconstanttorepresent thelimitingvalueofthederatingmultiplier.
MATHCADwasthenutilizedtocalibrate thismodelutilizing theknowncorrection factorsintheIPCEAstandardandtocalculate thecorrection factorsforquantities ofcablesgreaterthanthemaximumvalueof6.Theresultofthismathematical modeldetermined thatafter12cables,thecorrection factorremainedconstantat0.8.Therefore, aconservative deratingfactorof0.8canbeusedforfillsgreaterthan6cables.TheMATHCADfileandresultscanbefoundinAttachment 2';Thismodelassumesthatallcablesarecarryingtheirrespective ratedampacity.
Ifacableiscarryinglittleornocurrent,thenthereisnosignificant increaseintheambienttemperature.
Hence,theeffectontheenvironment ofthecableofconcernisnegligible, ThemajorityofcablesatD.C.Cookplantarelightlyloadedandtherefore thecorrection factorof0.8isconservative.
PS-CABLE-001 Rev.0Page3of6  


3.2TheTUderatingfactorof32%forcablesintrayswrappedwith1-hourThermo-laghasbeenappliedtocablesintrayswrappedwith1-hourThermo-lagatDCCook.TheapplicationoftheTU32%deratingfactorisconsideredappropriateandconservativeforapplicationatDCCookforthefollowingreasons:-ThetraysusedfortheTUtestingandthetraysusedatDCCookarebothventilated'addertype,withnocover.-TheTUtestingwascomprisedof1263/CII6CVcablesenergizedat15.9Ain24"x4"tray.Thisconfigurationrequiredthedissipationof49W(126x3x15.9A2x5.14E-04Q)through4.67ftofThermo-lagthatsurroundsthetray.ThereforetheratioofunitheatgeneratedtounitareaofdissipationfortheTUtestingwas10.5W/ft.Theboundingratioofheatgenerated(25.18W)toareaofdissipation(3ft)forDCCookis8.4W/ft(usingthewattageoftray1A-P20astheboundingcase).AcomparisonoftheheatgeneratedtoareaofdissipationratiosshowsthatapplyingtheTUderatingfactorisconservativeforDCCookapplications.-TheTUtestingutilizedpnadditionalthermalbarrier,SilTempcloth.ThisisnotusedatDCCook(asourceofconservatismwhenapplyingtheTUderatingfactortoDCCook).-TheTUtestingutilized1/2"Thermo-lagpanels,asdoesDCCook.4.0AreviewofAttachment1indicatesthat2560G/1AI-P4doesnothaveamarginbetweenitsconnectedloadandtheavailableampacityaAerbeingderatedinaccordancewithsections3.1and3.2.Tray1AI-P4containsjustthreecables,twoofwhichhaveminormotoroperatedvalveloads(<0.5A).Giventheshortoperatingtimeofthesevalves(<2minutes),thecablespoweringthemineffectcontributenoheattothesteadystateinner-trayenvironment.Thereforethesetwocablesmaybedisregardedwithrespecttothederatingofthethirdcable,2560G(i.e.-2560Gneednotbederatedforplacementintraywithothercables).Thisthirdcablesuppliespowertoaweldingreceptacleratedfor60A.Tojustifytheloadingofthiscablethenatureofloadmustbeconsidered.Thenatureoftheloadisinfrequentandintermittent,thereforetheemergencyoverloadratingofthecableshouldbeconsidered.ForXLPEtypeinsulation,theemergencyoverloadratingis130'C.PS-CABLE-001'Rev.0Page4of'6  
3.2TheTUderatingfactorof32%forcablesintrayswrappedwith1-hourThermo-lag hasbeenappliedtocablesintrayswrappedwith1-hourThermo-lag atDCCook.Theapplication oftheTU32%deratingfactorisconsidered appropriate andconservative forapplication atDCCookforthefollowing reasons:-ThetraysusedfortheTUtestingandthetraysusedatDCCookarebothventilated
'addertype,withnocover.-TheTUtestingwascomprised of1263/CII6CVcablesenergized at15.9Ain24"x4"tray.Thisconfiguration requiredthedissipation of49W(126x3x15.9A2x5.14E-04Q) through4.67ftofThermo-lag thatsurrounds thetray.Therefore theratioofunitheatgenerated tounitareaofdissipation fortheTUtestingwas10.5W/ft.
Theboundingratioofheatgenerated (25.18W)toareaofdissipation (3ft)forDCCookis8.4W/ft(usingthewattageoftray1A-P20astheboundingcase).Acomparison oftheheatgenerated toareaofdissipation ratiosshowsthatapplyingtheTUderatingfactorisconservative forDCCookapplications.
-TheTUtestingutilizedpnadditional thermalbarrier,SilTempcloth.ThisisnotusedatDCCook(asourceofconservatism whenapplyingtheTUderatingfactortoDCCook).-TheTUtestingutilized1/2"Thermo-lag panels,asdoesDCCook.4.0AreviewofAttachment 1indicates that2560G/1AI-P4 doesnothaveamarginbetweenitsconnected loadandtheavailable ampacityaAerbeingderatedinaccordance withsections3.1and3.2.Tray1AI-P4containsjustthreecables,twoofwhichhaveminormotoroperatedvalveloads(<0.5A).Giventheshortoperating timeofthesevalves(<2minutes),
thecablespoweringthemineffectcontribute noheattothesteadystateinner-tray environment.
Therefore thesetwocablesmaybedisregarded withrespecttothederatingofthethirdcable,2560G(i.e.-2560Gneednotbederatedforplacement intraywithothercables).Thisthirdcablesuppliespowertoaweldingreceptacle ratedfor60A.Tojustifytheloadingofthiscablethenatureofloadmustbeconsidered.
Thenatureoftheloadisinfrequent andintermittent, therefore theemergency overloadratingofthecableshouldbeconsidered.
ForXLPEtypeinsulation, theemergency overloadratingis130'C.PS-CABLE-001
'Rev.0Page4of'6  


Thistemperatureratingofthecableisforthosesituationsinwhichtheloadcurrentishigherthannormalbutisnotexpectedtolastmorethan100hoursatanygiventimeormorethanatotalof500hoursinthelifeofthecable(Reference5).Adjustingforachangeinheatriseofthecable(90'Cto130'C)inaccordancewithIPCEA-P-46-426eq.5,afreeairemergencyoverloadampacityof87Aiscalculated.Applyingthe32%TUfactorderatesitto59A.TheportableweldingequipmentcommonlyusedatDCCookdrawslessthan50A.Also,itisexpectedthatduringthelifeoftheweldingreceptacleitwouldbeusedwithinthetimeparametersassociatedwiththeemergencyoverloadratingofthecable.Thereforethiscableanditsloadingisconsideredacceptable.5.0AsanalternatemeansofreviewoftheloadingofThermo-lagwrappedtrayslistedinAttachment1,directcomparisonsandcorrelationsbetweentestsandactualconfigurationshavebeenmadeinAttachment3.ThisishighlyrelevanttothestudyofampacityloadingofThermo-lagwrappedtrays.In1983,theCantonTestLabperformedTestCL-542(Attachment4)tosimulatetheeffectsof1/2"Thermo-lagonconductortemperaturesofspacedcables.Thesetestsreplicatedactualinstalledracewayconfigurations,includingthenumberandsizeofcables,loadingandspacing.Asanexample,CL-542Tests1and3weredesignedtoreplicatetrays1AZ-P8and1A-P20,respectively.Directcomparisonorcorrelationofdataprovidedbythesetestsandtraysunderreview,providesanexcellentmeansofassurancethatthetemperatureratingsofthespacedcableswillnotbeexceededatthestatedloadingswhiletheparenttrayiswrappedin1/2"Thermo-lag.Attachment3,Tables1and2,provideadirectcomparisonbetweendatafromCL-542test1and3andthecablescontainedintrays1AZ-P8and1A-P20.Thetestcurrentsusedinthetestwereequaltoorgreaterthantheactualloadingoftherespectivecables.Areviewofthesetablesshowsthatnocablesexceedtheirtemperturerating(90C).whileenergizedattheirdesignloads,infact,allconductortemperaturesarelessthan70'C.Attachment3,Tables3through8,providecorrelationsbetweendatafromCL-542test3andothertrayswhichareconsideredtobeenvelopedbythistest.Areviewofthesetablesshowsthattray1A-P20envelopesallothertraysinbothnumberofcablesandloading.PS-CABLE-001Rev.0Page5of6 l.IPCEAP-46-4262.ICEAP-54-4403.TexasUtilitiesTestReport4.DCCookElectricalDesignStandard1-2-EDS-6425.EPRIPowerPlantReferenceGuide-WireandCable6.DCCookTrayContentsListing7.DCCookConduitandCableDrawingsHT1.Deratingtables2.MATHCADfiles3.Testresultsappliedtotrays4.CL-542testreport5.DesignVerificationPS-CABLE-001Rev.0Page6of6 00 TRAY&#xb9;TRAYSIZEFIREBARRIER1AI-Pl12"Wx6"D1HOURRATEDTHERMO-LAGCABLENOCABLETYPECBLODOPENAIRAMPACITY80%OPEN32%TSIAIRAMPACITYDERATINGMARGIN8255R8174R8177R8113R3TC&#xb9;12CU0.320.333TC&#xb9;12CU0.324.003TC&#xb9;12CU0.324.003TC&#xb9;12CU0.320.3336363628.828.828.828.819.5819.5898.3179.5819.5879.5819.5898.318119R3TC&#xb9;12CU0.320.333628.819.5898.318300R8304R8308R8311R8294R8026R8027R1623R1642R2536R9086R9092R9645R8755RH80083R28765R3TC&#xb9;12CU.0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.322.103TC&#xb9;12CU0.321.003TC&#xb9;12CU0.321.603TC&#xb9;12CU0.321.603TC&#xb9;12CU0.322.903TC&#xb9;6AL0.6937.003TC&#xb9;12CU0.323.48SPARE31/C4/OCU3TC&#xb9;12CU0.322.004/C&#xb9;12CU0.5210.003TC&#xb9;8AL0.6025.003636363636363636363636693628.828.828.828.828.828.828.828.828.841.628.828.828.855.228.819.5898.3119.5898.3119.5898.3119.5898.3128.2911.6219.5891.8319.5891.8319.5885.1937.541.4319.5882.2319.5898.3119.5889.2819.5894.8919.5889.7919.5848.94Note:4/C&#xb9;12CUampacityIsderivedfromonly3conductorsutilizedPS-CABLE-001Rev.0Attachment1Page1of9
Thistemperature ratingofthecableisforthosesituations inwhichtheloadcurrentishigherthannormalbutisnotexpectedtolastmorethan100hoursatanygiventimeormorethanatotalof500hoursinthelifeofthecable(Reference 5).Adjusting forachangeinheatriseofthecable(90'Cto130'C)inaccordance withIPCEA-P-46-426 eq.5,afreeairemergency overloadampacityof87Aiscalculated.
Applyingthe32%TUfactorderatesitto59A.Theportableweldingequipment commonlyusedatDCCookdrawslessthan50A.Also,itisexpectedthatduringthelifeoftheweldingreceptacle itwouldbeusedwithinthetimeparameters associated withtheemergency overloadratingofthecable.Therefore thiscableanditsloadingisconsidered acceptable.


TRAY&#xb9;TRAYSIZEFIREBARRIER1AI-P212"Wx6"D1HOURRATEDTHERMO-LAGCABLENOCABLETYPECBLODOPENAIRAMPACITY80%OPEN32%TSIAIRAMPACITYDERATINGMARGIN8116G3TC&#xb9;12CU0.320.333628.819.5898.318119G8185G8194G8197G8250G8300G8304G8308G8311G8270G3TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.323.203TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.703636363636363636363628.828.828.828.828.828.828.828.828.828.819.5898.3119.5898.3119.5883.6619.5898.3119.5898.3119.5898.3119.5898.3119.5896.4319.5898.3119.5898.312978G2559G3TC&#xb9;6AL3TC&#xb9;6ALSPARESPARE8756GH3TC350MCMAL1.9150.80397317.6215.9730.178751GH8753GH3TC&#xb9;GAL0.6915.503TC&#xb9;2AL0.9349.4012755.2101.637.5469.0958.7128.508755GH1500G3TC&#xb9;6AL0.6937.003TC2lQAL1.2750.30206164.8112.0655.1155.2~37.541.43PS-CABLE-001Rev.0Attachment1Page2of9 TRAYSTRAYSIZEFIREBARRIER1AI-P412"Wx6"D1HOURRATEDTHERMO-LAGCABLENOCABLETYPE8116G3TC412CU8119G3TC412CU2560G3TCKALCBLFLAOPENAIR87loOPEN32foTSIODAMPACITYAIRAMPACITYDERATINGMARGIN0.320.403631.3221.3098.120.320.403631.322'I.3098.120.6960.006960.0340.82-46.99Weidingrecepticlesw.rating.It'ttttdld.PS-CABLE-001Rev.0Attachment1Page3of9 TRAY&#xb9;TRAYSIZEFIREBARRIER1A-P2012"Wx6"D1HOURRATEDTHERMO-LAGCABLENOCABLETYPECBLODFLAOPENAIRAMPACITY80%OPENAIRAMPACITY32/oTSIDERATINGMARGIN8113R8119R1623R1642R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU0.320.710.320.710.322.600.546.403636363628.828.828.828.819.5896.3719.5896.3786.7219.5819.5867.328026R3TC&#xb9;12CU0.322.703628.819.5886.218027R8294R2349R3249R1509R2353R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;6AL3TC&#xb9;12CU4/C&#xb9;12CU0.321.200.320.710.321.900.6912.70SPARE0.5216.003636363628.828.828.855.228.819.5893.8719.5896.3719.5890.3037.5466.1719.5818.302354R4/C&#xb9;12CU0.5416.003628.819.5818.302355R2356R3TC&#xb9;12CU3TC&#xb9;4AL0.321.500.836.00369428,875.219.5892.3451.1429.608984R3TC&#xb9;12CU0.3215.603628.819.5820.348987R1656R9217R3TC&#xb9;12CU3TC&#xb9;2AL3TC&#xb9;12CU0.3215.60360.320.71360.9360.0012728.8101.628.819.5820.3469.0913.1519.5896.379221R2348R2962R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU0.320.710.326.800.326.8036363628.828.828.819.5896.3719.5865.2819.5865.282361R1440R8753RH3TC&#xb9;6AL3TC&#xb9;2AL3TC&#xb9;4AL0.6931.40690.849.00940.9360.0012755.2101.675.237.5416.3551.144.1869.0913.15Note:4/C&#xb9;12CUampacityisderivedfromonly3conductorsutilizedPS-CABLE-001Rev.0Attachment.1Page4of9
==5.0 Asanalternate==
meansofreviewoftheloadingofThermo-lag wrappedtrayslistedinAttachment 1,directcomparisons andcorrelations betweentestsandactualconfigurations havebeenmadeinAttachment 3.ThisishighlyrelevanttothestudyofampacityloadingofThermo-lag wrappedtrays.In1983,theCantonTestLabperformed TestCL-542(Attachment 4)tosimulatetheeffectsof1/2"Thermo-lag onconductor temperatures ofspacedcables.Thesetestsreplicated actualinstalled racewayconfigurations, including thenumberandsizeofcables,loadingandspacing.Asanexample,CL-542Tests1and3weredesignedtoreplicate trays1AZ-P8and1A-P20,respectively.
Directcomparison orcorrelation ofdataprovidedbythesetestsandtraysunderreview,providesanexcellent meansofassurance thatthetemperature ratingsofthespacedcableswillnotbeexceededatthestatedloadingswhiletheparenttrayiswrappedin1/2"Thermo-lag.
Attachment 3,Tables1and2,provideadirectcomparison betweendatafromCL-542test1and3andthecablescontained intrays1AZ-P8and1A-P20.Thetestcurrentsusedinthetestwereequaltoorgreaterthantheactualloadingoftherespective cables.Areviewofthesetablesshowsthatnocablesexceedtheirtemperture rating(90C).whileenergized attheirdesignloads,infact,allconductor temperatures arelessthan70'C.Attachment 3,Tables3through8,providecorrelations betweendatafromCL-542test3andothertrayswhichareconsidered tobeenveloped bythistest.Areviewofthesetablesshowsthattray1A-P20envelopes allothertraysinbothnumberofcablesandloading.PS-CABLE-001 Rev.0Page5of6 l.IPCEAP-46-4262.ICEAP-54-4403.TexasUtilities TestReport4.DCCookElectrical DesignStandard1-2-EDS-642 5.EPRIPowerPlantReference Guide-WireandCable6.DCCookTrayContentsListing7.DCCookConduitandCableDrawingsHT1.Deratingtables2.MATHCADfiles3.Testresultsappliedtotrays4.CL-542testreport5.DesignVerification PS-CABLE-001 Rev.0Page6of6 00 TRAY&#xb9;TRAYSIZEFIREBARRIER1AI-Pl12"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODOPENAIRAMPACITY80%OPEN32%TSIAIRAMPACITYDERATINGMARGIN8255R8174R8177R8113R3TC&#xb9;12CU0.320.333TC&#xb9;12CU0.324.003TC&#xb9;12CU0.324.003TC&#xb9;12CU0.320.3336363628.828.828.828.819.5819.5898.3179.5819.5879.5819.5898.318119R3TC&#xb9;12CU0.320.333628.819.5898.318300R8304R8308R8311R8294R8026R8027R1623R1642R2536R9086R9092R9645R8755RH80083R28765R3TC&#xb9;12CU.0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.322.103TC&#xb9;12CU0.321.003TC&#xb9;12CU0.321.603TC&#xb9;12CU0.321.603TC&#xb9;12CU0.322.903TC&#xb9;6AL0.6937.003TC&#xb9;12CU0.323.48SPARE31/C4/OCU3TC&#xb9;12CU0.322.004/C&#xb9;12CU0.5210.003TC&#xb9;8AL0.6025.003636363636363636363636693628.828.828.828.828.828.828.828.828.841.628.828.828.855.228.819.5898.3119.5898.3119.5898.3119.5898.3128.2911.6219.5891.8319.5891.8319.5885.1937.541.4319.5882.2319.5898.3119.5889.2819.5894.8919.5889.7919.5848.94Note:4/C&#xb9;12CUampacityIsderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment 1Page1of9


TRAY&#xb9;TRAYSIZEFIREBARRIER1AZ-P812"Wx6"D1HOURRATEDTHERMO-LAGCABLENO-1470R1469RCABLETYPE3TC&#xb9;12CU3TC&#xb9;12CUCBLOD0.323.800.3216.003636FLAOPENAIRAMPACITY80%OPENAIRAMPACITY28.880.6019.5819.5818.3032%TSIDERATINGMARGIN8067R3TC&#xb9;12CU0.321.203628.819.5893.878024R8187R8026R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU0.321.100.328.480.322.70363628.828.828.819.5894.3819.58'6.7019.5886.218027R3TC&#xb9;12CU0.321.203628.8195893.872349R1476R1488R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU0.321.90SPARE0.323.80363628.828.819.5890.3019.5880.601991R3TC&#xb9;2AL0.9360.00127101.669.0913.156666R-3TC&#xb9;12CU0.322.503628.819.5887.23PS-CABLE-001Rev.0Attachment1Page5of9
TRAY&#xb9;TRAYSIZEFIREBARRIER1AI-P212"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODOPENAIRAMPACITY80%OPEN32%TSIAIRAMPACITYDERATINGMARGIN8116G3TC&#xb9;12CU0.320.333628.819.5898.318119G8185G8194G8197G8250G8300G8304G8308G8311G8270G3TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.323.203TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.333TC&#xb9;12CU0.320.703636363636363636363628.828.828.828.828.828.828.828.828.828.819.5898.3119.5898.3119.5883.6619.5898.3119.5898.3119.5898.3119.5898.3119.5896.4319.5898.3119.5898.312978G2559G3TC&#xb9;6AL3TC&#xb9;6ALSPARESPARE8756GH3TC350MCM AL1.9150.80397317.6215.9730.178751GH8753GH3TC&#xb9;GAL0.6915.503TC&#xb9;2AL0.9349.4012755.2101.637.5469.0958.7128.508755GH1500G3TC&#xb9;6AL0.6937.003TC2lQAL1.2750.30206164.8112.0655.1155.2~37.541.43PS-CABLE-001 Rev.0Attachment 1Page2of9 TRAYSTRAYSIZEFIREBARRIER1AI-P412"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPE8116G3TC412CU8119G3TC412CU2560G3TCKALCBLFLAOPENAIR87loOPEN32foTSIODAMPACITYAIRAMPACITYDERATINGMARGIN0.320.403631.3221.3098.120.320.403631.322'I.3098.120.6960.006960.0340.82-46.99Weidingrecepticle sw.rating.It'ttttdld.PS-CABLE-001 Rev.0Attachment 1Page3of9 TRAY&#xb9;TRAYSIZEFIREBARRIER1A-P2012"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODFLAOPENAIRAMPACITY80%OPENAIRAMPACITY32/oTSIDERATINGMARGIN8113R8119R1623R1642R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU0.320.710.320.710.322.600.546.403636363628.828.828.828.819.5896.3719.5896.3786.7219.5819.5867.328026R3TC&#xb9;12CU0.322.703628.819.5886.218027R8294R2349R3249R1509R2353R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;6AL3TC&#xb9;12CU4/C&#xb9;12CU0.321.200.320.710.321.900.6912.70SPARE0.5216.003636363628.828.828.855.228.819.5893.8719.5896.3719.5890.3037.5466.1719.5818.302354R4/C&#xb9;12CU0.5416.003628.819.5818.302355R2356R3TC&#xb9;12CU3TC&#xb9;4AL0.321.500.836.00369428,875.219.5892.3451.1429.608984R3TC&#xb9;12CU0.3215.603628.819.5820.348987R1656R9217R3TC&#xb9;12CU3TC&#xb9;2AL3TC&#xb9;12CU0.3215.60360.320.71360.9360.0012728.8101.628.819.5820.3469.0913.1519.5896.379221R2348R2962R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU0.320.710.326.800.326.8036363628.828.828.819.5896.3719.5865.2819.5865.282361R1440R8753RH3TC&#xb9;6AL3TC&#xb9;2AL3TC&#xb9;4AL0.6931.40690.849.00940.9360.0012755.2101.675.237.5416.3551.144.1869.0913.15Note:4/C&#xb9;12CUampacityisderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment.1 Page4of9


TRAY&#xb9;TRAYSIZEFIREBARRIER1AZ-P912"Wx6"D1HOURRATEDTHERMO-LAGCABLENOCABLETYPECBLODFLAOPENAIRAMPACITY80%OPENAIRAMPACITY32%TSIDERATINGMARGIN81,13R8119R1623R3TC&#xb9;12CU0.323TC&#xb9;12CU0.323TC&#xb9;12CU0.320.710.712.60363628.828.828.819.5896.3796.3719.5819.5886.721642R4/C&#xb9;12CU0.526.403628.819.5867.328026R3TC&#xb9;12CU0.322.703628.819.5886.218027R3TC&#xb9;12CU0.321.203628.819.5893.872349R9217R9221R3TC&#xb9;12CU0.323TC&#xb9;12CU0.323TC&#xb9;12CU0;321.900.170.17-36-363628.828.828.899.1319.5819.5890.3019.5899.131440R3TC&#xb9;2AL0.9360.00127101.669.0913.158753RH3TC&#xb9;4AL0.849.009475.251.144.18Note:4/C&#xb9;12CUampacityisderivedfromonly3conductorsutilizedPS-CABLE-001Rev.0Attachment1Page6of9 TRAY&#xb9;TRAYSIZEFIREBARRIER2AI-P212"Wx6"D1HOURRATEDTHERMO-LAGCABLENOCABLETYPECBLODOPENAIR80%OPEN32%TSIAMPACITYAIRAMPACITYDERATINGMARGIN3010G3TC&#xb9;12CU0.323012G4/C&#xb9;12CU0.523013G4/C&#xb9;12CU0.528987G3TC&#xb9;12CU0.329217G3TC&#xb9;12CU0.323014G3TC&#xb9;6CU0.858984G3TC&#xb9;1OCU0.461.7516.0016.0016.000.7136.0015.603636363636894828.828.828.828.828.871.238.419.5819.5819.5819.5819.5848.4226.1191.0618.3018.3018.3096.3725.6440.26Note:4/C&#xb9;12CUampacityisderivedfromonly3conductorsutilizedPS-CABLE-001Rev.0Attachment1Page7of9
TRAY&#xb9;TRAYSIZEFIREBARRIER1AZ-P812"Wx6"D1HOURRATEDTHERMO-LAG CABLENO-1470R1469RCABLETYPE3TC&#xb9;12CU3TC&#xb9;12CUCBLOD0.323.800.3216.003636FLAOPENAIRAMPACITY80%OPENAIRAMPACITY28.880.6019.5819.5818.3032%TSIDERATINGMARGIN8067R3TC&#xb9;12CU0.321.203628.819.5893.878024R8187R8026R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU0.321.100.328.480.322.70363628.828.828.819.5894.3819.58'6.7019.5886.218027R3TC&#xb9;12CU0.321.203628.8195893.872349R1476R1488R3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU0.321.90SPARE0.323.80363628.828.819.5890.3019.5880.601991R3TC&#xb9;2AL0.9360.00127101.669.0913.156666R-3TC&#xb9;12CU0.322.503628.819.5887.23PS-CABLE-001 Rev.0Attachment 1Page5of9


TRAY&#xb9;.TRAYSIZEFIREBARRIER2AZ-P312"Wx6"D1HOURRATEDTHERMO-LAGCABLENOCABLETYPECBLODOPENAIR80%OPEN32%TSIAMPACITYAIRAMPACITYDERATINGMARGIN8332G966561970G9696G3001G13945G3010G3012G3013G8987G3Q14G9965G9958G8645G8138G3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;2CU3TC&#xb9;2CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;6AL4/C&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU0.323.80SPARE0.526.70SPARE1.081.381.0873.000.32'1.500.5216.000.5216.000.3216.000.6936.000.527.90.321.QQ0.322.90CO3616236363636693636NTROL28.828.8129.6129.628.828.828.828.855.228.828.828.819.5819.5888.1388.1319.5819.5819.5819.5837.5419.5819.5819.5880.6065.7998.4317.1792.3418.3018.3018.304.0959.6694.8985.19820463TC&#xb9;12CU0.3218.003628.819.588.098317G8756GH8050GH8053GH3TC&#xb9;12CU3TC&#xb9;2/QAL7/C&#xb9;12CU3TC&#xb9;8CU0.323.801.2796.4036206CONTROL0.7212.896628.8164.852.819.58112.0635.9080.6Q13.9864.10Note:4/C&#xb9;12CUampacityisderivedfromonly3conductorsutilizedPS-CABLE-001Rev.0Attachment1Page8of9 TRAY&#xb9;TRAYSIZEFIREBARRIER2AZ-P1012"Wx6"D1HOURRATEDTHERMO-LAGCABLENOCABLETYPECBLODFLAOPENAIR80%OPENAMPACITYAIRAMPACITY32%TSIDERATINGMARGiN8755RH3TC&#xb9;2AL8753RH3TC&#xb9;4AL0.930.850.3050.3012794101.675.269.0951.142?.191.638756RH3TC2/OAL1500R3TC&#xb9;2AL1.270.93100.5020650.30127164.8101.6112.0669.0910.3227.198206R3TC&#xb9;12CU9962R3TC&#xb9;12CU9951R-3TC&#xb9;12CU9901R3TCN2CU9908R3TC&#xb9;12CU16666R3TC&#xb9;12CU8327R3TC&#xb9;12CU8024R3TC&#xb9;12CU2481R3TC&#xb9;2CU8274R3TC&#xb9;12CU9221R3TC&#xb9;12CU9217R3TC412CU8030R3TC&#xb9;12CU8560R3TC&#xb9;12CU0.320.320.320.320.320.320.321.080.320.320.320.320.3218.00SPARE0.802.992.992.142.991.001.382.200.710.711.343.29363636363616236363628.828.828.828.828.828.828.8129.628.828.828.828.828.819.5819.5819.5819.5819.5819.5819.5888.1319.5819.5819.5819.5819.588.0995.9284.7384.7389.0784.7394.8998.4388.7796.3796.3793.1683.20PS-CABLE-001Rev.0Attachment1Page9of9 TheMathcadsoftware(version6.0byMathSoftInc.)containsafunctionthatallowstheusertosolveasystemofsimultaneousequationswithanequalnumberofequationsandunknowns(50max.).Thismethodreturnsnumbersfortheunknownvariables.Therearefourstepstosolvingasystemofsimultaneousequations.Theseare:1.)Provideaninitialguessfortheunknowns.Mathcadsolvesequationsbymakingaseriesofguesseswhichultimatelyconvergeonthecorrectanswer.TheinitialguessesprovideMathcadwithaplacetostartsearchingforsolutions.2.)ThewordGivenistyped,followedbytheseriesofequations.3.)TheseriesofequationsandinequalitiesinanyorderbelowthewordGiven.4.)TypeanyequationthatinvolvestheMinenfunction.TheMinerrfunctionreturnsavectorofanswersthatsolvethesystemofequations.Theequationusedinthismathematicalmodelis:.a+be(tq/~q)+ce(t~/~~)=mf(t)where:aisaconstantrepresentinglimitingvalueofderatingfactorb&~qarevariablesinanexponentialtoreflecttheeffectoftheincreaseincablethermalresistanceduetoadjoiningcablesc8~2arevariablesinanexponentialtoreflecttheeffectofadditionalheatgenerationintheraceway.Guessesa."-0.75b:~0.15c:-0.1m:-2.2n,'=1.7Givena>bic=1.0(1)1a.tbexp(--)~ccxp-=0.93(m)"n'heret=0/2>2asbexp~-)acexp--=0.87Im)n/3h3aibcxp(-.)icexp-=0.84I)naibexpI..<icexpt-=0.82I)P5-CABLE-00lRev.0A8ndleienk2.'deIof3 aa'bb!jicctMinerr(a,b,c,m,n)iImmrnn"'F::.10.930.870.840.830.82MFisavectorofthedataincludedinTableVllofICEAPR2-426.aa=0.8bb~0.129cc=0.073mm~1.974nn=1.991/tKtKmf(t)aa-bbexp~-jtccexp-jt'=0,1..5Illtnnnjm/20)=0.8l.051.030.98)0.950.93MFt0.90.880.850.830.8/mf(t)~MF,error(t),-"-------MFterror:=gerror(titterror1.56810I3gt:ABLE'-OPJgt.o.O8gujh~f.'"~~Pa~e2aP3  
TRAY&#xb9;TRAYSIZEFIREBARRIER1AZ-P912"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODFLAOPENAIRAMPACITY80%OPENAIRAMPACITY32%TSIDERATINGMARGIN81,13R8119R1623R3TC&#xb9;12CU0.323TC&#xb9;12CU0.323TC&#xb9;12CU0.320.710.712.60363628.828.828.819.5896.3796.3719.5819.5886.721642R4/C&#xb9;12CU0.526.403628.819.5867.328026R3TC&#xb9;12CU0.322.703628.819.5886.218027R3TC&#xb9;12CU0.321.203628.819.5893.872349R9217R9221R3TC&#xb9;12CU0.323TC&#xb9;12CU0.323TC&#xb9;12CU0;321.900.170.17-36-363628.828.828.899.1319.5819.5890.3019.5899.131440R3TC&#xb9;2AL0.9360.00127101.669.0913.158753RH3TC&#xb9;4AL0.849.009475.251.144.18Note:4/C&#xb9;12CUampacityisderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment 1Page6of9 TRAY&#xb9;TRAYSIZEFIREBARRIER2AI-P212"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODOPENAIR80%OPEN32%TSIAMPACITYAIRAMPACITYDERATINGMARGIN3010G3TC&#xb9;12CU0.323012G4/C&#xb9;12CU0.523013G4/C&#xb9;12CU0.528987G3TC&#xb9;12CU0.329217G3TC&#xb9;12CU0.323014G3TC&#xb9;6CU0.858984G3TC&#xb9;1OCU0.461.7516.0016.0016.000.7136.0015.603636363636894828.828.828.828.828.871.238.419.5819.5819.5819.5819.5848.4226.1191.0618.3018.3018.3096.3725.6440.26Note:4/C&#xb9;12CUampacityisderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment 1Page7of9
 
TRAY&#xb9;.TRAYSIZEFIREBARRIER2AZ-P312"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODOPENAIR80%OPEN32%TSIAMPACITYAIRAMPACITYDERATINGMARGIN8332G966561970G9696G3001G13945G3010G3012G3013G8987G3Q14G9965G9958G8645G8138G3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;2CU3TC&#xb9;2CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;6AL4/C&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU0.323.80SPARE0.526.70SPARE1.081.381.0873.000.32'1.500.5216.000.5216.000.3216.000.6936.000.527.90.321.QQ0.322.90CO3616236363636693636NTROL28.828.8129.6129.628.828.828.828.855.228.828.828.819.5819.5888.1388.1319.5819.5819.5819.5837.5419.5819.5819.5880.6065.7998.4317.1792.3418.3018.3018.304.0959.6694.8985.19820463TC&#xb9;12CU0.3218.003628.819.588.098317G8756GH8050GH8053GH3TC&#xb9;12CU3TC&#xb9;2/QAL 7/C&#xb9;12CU3TC&#xb9;8CU0.323.801.2796.4036206CONTROL0.7212.896628.8164.852.819.58112.0635.9080.6Q13.9864.10Note:4/C&#xb9;12CUampacityisderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment 1Page8of9 TRAY&#xb9;TRAYSIZEFIREBARRIER2AZ-P1012"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODFLAOPENAIR80%OPENAMPACITYAIRAMPACITY32%TSIDERATINGMARGiN8755RH3TC&#xb9;2AL8753RH3TC&#xb9;4AL0.930.850.3050.3012794101.675.269.0951.142?.191.638756RH3TC2/OAL1500R3TC&#xb9;2AL1.270.93100.5020650.30127164.8101.6112.0669.0910.3227.198206R3TC&#xb9;12CU9962R3TC&#xb9;12CU9951R-3TC&#xb9;12CU 9901R3TCN2CU9908R3TC&#xb9;12CU16666R3TC&#xb9;12CU8327R3TC&#xb9;12CU8024R3TC&#xb9;12CU2481R3TC&#xb9;2CU8274R3TC&#xb9;12CU9221R3TC&#xb9;12CU9217R3TC412CU8030R3TC&#xb9;12CU8560R3TC&#xb9;12CU0.320.320.320.320.320.320.321.080.320.320.320.320.3218.00SPARE0.802.992.992.142.991.001.382.200.710.711.343.29363636363616236363628.828.828.828.828.828.828.8129.628.828.828.828.828.819.5819.5819.5819.5819.5819.5819.5888.1319.5819.5819.5819.5819.588.0995.9284.7384.7389.0784.7394.8998.4388.7796.3796.3793.1683.20PS-CABLE-001 Rev.0Attachment 1Page9of9 TheMathcadsoftware(version6.0byMathSoftInc.)containsafunctionthatallowstheusertosolveasystemofsimultaneous equations withanequalnumberofequations andunknowns(50max.).Thismethodreturnsnumbersfortheunknownvariables.
Therearefourstepstosolvingasystemofsimultaneous equations.
Theseare:1.)Provideaninitialguessfortheunknowns.
Mathcadsolvesequations bymakingaseriesofguesseswhichultimately convergeonthecorrectanswer.TheinitialguessesprovideMathcadwithaplacetostartsearching forsolutions.
2.)ThewordGivenistyped,followedbytheseriesofequations.
3.)Theseriesofequations andinequalities inanyorderbelowthewordGiven.4.)TypeanyequationthatinvolvestheMinenfunction.
TheMinerrfunctionreturnsavectorofanswersthatsolvethesystemofequations.
Theequationusedinthismathematical modelis:.a+be(tq/~q)+c e(t~/~~)=mf(t)where:aisaconstantrepresenting limitingvalueofderatingfactorb&~qarevariables inanexponential toreflecttheeffectoftheincreaseincablethermalresistance duetoadjoining cablesc8~2arevariables inanexponential toreflecttheeffectofadditional heatgeneration intheraceway.Guessesa."-0.75b:~0.15c:-0.1m:-2.2n,'=1.7Givena>bic=1.0(1)1a.tbexp(--)~ccxp-=0.93(m)"n'heret=0/2>2asbexp~-)acexp--=0.87Im)n/3h3aibcxp(-.)icexp-=0.84I)naibexpI..<icexpt-=0.82I)P5-CABLE-00l Rev.0A8ndleienk2.'deIof3 aa'bb!jicctMinerr(a, b,c,m,n)iImmrnn"'F::.10.930.870.840.830.82MFisavectorofthedataincludedinTableVllofICEAPR2-426.aa=0.8bb~0.129cc=0.073mm~1.974nn=1.991/tKtKmf(t)aa-bbexp~-jtccexp-jt'=0,1..5Illtnnnjm/20)=0.8l.051.030.98)0.950.93MFt0.90.880.850.830.8/mf(t)~MF,error(t),-
"-------MFterror:=gerror(titterror1.56810I3gt:ABLE'-OPJ gt.o.O8gujh~f.'"~
~Pa~e2aP3  


0.980.96-~0.940.92-mgt)090.880.86~0,84~0,82-0.80..200mft't)1.002  
0.980.96-~0.940.92-mgt)090.880.86~0,84~0,82-0.80..200mft't)1.002  


ComparisonofCI542TestIResultsfoTrayIAZ-P8CABLESIZE'TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;2ALTESTCURRENT'.820.060.0RUNSINTRAY'IGHESTCONDUCTORTEMP.('C)'5.659.755.7CABLE(S)SIMULATED1470R,8067R,8024R,8026R,8027R,2349R,16666R-21469R,8187R,1488R1991RYABLk1ComparisonofCL-542Test3ResullsfoTrayIA-P20CABLESIZE'TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;6AL3TCN6AL3TC&#xb9;4AL3TCN4AL3TC&#xb9;2ALTESTCURRENT~0.716.816.06.816.016.036.036.053.060.0RUNSINHIGHESTCONDUCTORTRAY~TEMP.('C)i54.657.960.467.355.262.757.665.957.968.863.7CABLE(S)SIMULATED8113R,8119R8294R,9217R,9221R1623R,8026R,8027R,2349R,2355R2348R,2962R8984R,8987R1642R,2353R,2354R3249R,2361R2356R,8753RH1656R,1440RYABLC<2'estdataconformstotheactualcablessizes,numberofruns,loadingandconfigurationoftraylAZ-P8.2Testdataconformstotheactualcablessizes,numberofruns,loadingandconfigurationoftraylA-P20.PS-CABLE-001Rev.0Attachment3Page1of7 CABLESIZE3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;8AL3TC&#xb9;6AL3TC&#xb9;6AL3TC&#xb9;4AL3TC&#xb9;4AL3TC&#xb9;2AL&#xb9;ofenergizedcables&#xb9;ofunusedcablesactualwattshighesttemperatureTrayIA-P20&#xb9;ofruns/loading(A)I5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAI-PI&#xb9;ofruns/loading(A)8/0.335/2.104/4.0I/10.01/25.0I/37.0207.17TABLE3PS-CABLE-001Rev.0Attachment3Page2of7
Comparison ofCI542TestIResultsfoTrayIAZ-P8CABLESIZE'TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;2ALTESTCURRENT'.8 20.060.0RUNSINTRAY'IGHEST CONDUCTOR TEMP.('C)'5.659.755.7CABLE(S)SIMULATED 1470R,8067R,8024R,8026R,8027R,2349R,16666R-21469R,8187R,1488R1991RYABLk1Comparison ofCL-542Test3ResullsfoTrayIA-P20CABLESIZE'TC&#xb9;12CU 3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;6AL3TCN6AL3TC&#xb9;4AL3TCN4AL3TC&#xb9;2ALTESTCURRENT~0.716.816.06.816.016.036.036.053.060.0RUNSINHIGHESTCONDUCTOR TRAY~TEMP.('C)i54.657.960.467.355.262.757.665.957.968.863.7CABLE(S)SIMULATED 8113R,8119R 8294R,9217R,9221R 1623R,8026R,8027R,2349R,2355R 2348R,2962R8984R,8987R1642R,2353R,2354 R3249R,2361R2356R,8753RH1656R,1440R YABLC<2'estdataconformstotheactualcablessizes,numberofruns,loadingandconfiguration oftraylAZ-P8.2Testdataconformstotheactualcablessizes,numberofruns,loadingandconfiguration oftraylA-P20.PS-CABLE-001 Rev.0Attachment 3Page1of7 CABLESIZE3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;8AL3TC&#xb9;6AL3TC&#xb9;6AL3TC&#xb9;4AL3TC&#xb9;4AL3TC&#xb9;2AL&#xb9;ofenergized cables&#xb9;ofunusedcablesactualwattshighesttemperature TrayIA-P20&#xb9;ofruns/loading (A)I5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAI-PI&#xb9;ofruns/loading(A)8/0.335/2.104/4.0I/10.01/25.0I/37.0207.17TABLE3PS-CABLE-001 Rev.0Attachment 3Page2of7


CABLESIZE3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;6AL3TC&#xb9;6AL3TC&#xb9;4AL3TC&#xb9;4AL3TC&#xb9;2AL3TC2/OAL3TC350MCMAL&#xb9;ofenergizedcables&#xb9;ofunused'cablesactualwattshighesttemperatureTrayIA-P20&#xb9;ofruns/loading{A)5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0~I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAl-P2&#xb9;ofruns/loading{A)10/1.0I/3.2I/15.5I/37.0I/50.0I/51.0I/1511612.4TABLE4PS-CABLE-001Rev.0Attachment3Page3of7 CABLESIZE3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;6AL3TC&#xb9;6AL3TC&#xb9;4AL3TC&#xb9;4AL3TC&#xb9;2AL&#xb9;ofenergizedcables&#xb9;ofunusedcablesactualwattshighesttemperatureTrayIA-P20&#xb9;ofruns/loading(A)5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAZ-P9&#xb9;ofruns/loading(A)4/0.714/2.70I/6.4I/49.0I/60.07.91TABLE5PS-CABLE-001Rev.0Attachment3Page4of7 Oi CABLESIZE3TCII12CU3TCI112CU3TC012CU3TC/I12CU4/CP12CU4/CP12CU3TCI/10CU3TCN6CU3TCN6AL3TC//6AL3TCP4AL3TC/I4AL3TC02AL//ofenergizedcables//ofunusedcablesactualwattshighesttemperatureTray1A-P20IIofruns/loading(A)5/0.715/2.82/6.82/16.01/6.82/16.01/16.01/36.01/36.01/53.02/60.02325.1868.8'CTray2AI-P2I/ofruns/loading(A)2/2.01/16.02/16.01/16.01/36.07.82TABLE6PS-CABLE-001Rev.0Attachment3Page5of7 CABLESIZE3TCN12CU3TCN12CU3TCN12CU3TCN12CU4/CN12CU4/CN12CU3TCN8CU3TCN6AL3TCN6AL3TCN4AL3TCN4AL3TCN2AL3TCN2CU3TCN2CU3TC2/OALNofenergizedcablesNofunused/controlcablesActualWattshighesttemperatureTrayIA-P20Nofruns/loading(A)5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTray2AZ-P3Nofruns/loading(A)2/1.53/3.82/18.02/7.92/16.0I/13.0I/36.0I/73.0I/1.38I/96.41619.89TABLE7PS-CABLE-001Rev.0Attachment3Page6of7
CABLESIZE3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;6AL3TC&#xb9;6AL3TC&#xb9;4AL3TC&#xb9;4AL3TC&#xb9;2AL3TC2/OAL3TC350MCMAL&#xb9;ofenergized cables&#xb9;ofunused'cablesactualwattshighesttemperature TrayIA-P20&#xb9;ofruns/loading{A) 5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0~I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAl-P2&#xb9;ofruns/loading{A)10/1.0I/3.2I/15.5I/37.0I/50.0I/51.0I/1511612.4TABLE4PS-CABLE-001 Rev.0Attachment 3Page3of7 CABLESIZE3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU3TC&#xb9;12CU4/C&#xb9;12CU4/C&#xb9;12CU3TC&#xb9;6AL3TC&#xb9;6AL3TC&#xb9;4AL3TC&#xb9;4AL3TC&#xb9;2AL&#xb9;ofenergized cables&#xb9;ofunusedcablesactualwattshighesttemperature TrayIA-P20&#xb9;ofruns/loading (A)5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAZ-P9&#xb9;ofruns/loading (A)4/0.714/2.70I/6.4I/49.0I/60.07.91TABLE5PS-CABLE-001 Rev.0Attachment 3Page4of7 Oi CABLESIZE3TCII12CU 3TCI112CU 3TC012CU3TC/I12CU 4/CP12CU4/CP12CU3TCI/10CU 3TCN6CU3TCN6AL3TC//6AL3TCP4AL3TC/I4AL3TC02AL//ofenergized cables//ofunused cablesactualwattshighesttemperature Tray1A-P20IIofruns/loading (A)5/0.715/2.82/6.82/16.01/6.82/16.01/16.01/36.01/36.01/53.02/60.02325.1868.8'CTray2AI-P2I/ofruns/loading(A)2/2.01/16.02/16.01/16.01/36.07.82TABLE6PS-CABLE-001 Rev.0Attachment 3Page5of7 CABLESIZE3TCN12CU3TCN12CU3TCN12CU3TCN12CU4/CN12CU4/CN12CU3TCN8CU3TCN6AL3TCN6AL3TCN4AL3TCN4AL3TCN2AL3TCN2CU3TCN2CU3TC2/OALNofenergized cablesNofunused/control cablesActualWattshighesttemperature TrayIA-P20Nofruns/loading(A) 5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTray2AZ-P3Nofruns/loading(A)2/1.53/3.82/18.02/7.92/16.0I/13.0I/36.0I/73.0I/1.38I/96.41619.89TABLE7PS-CABLE-001 Rev.0Attachment 3Page6of7


CABLESIZE3TCN12CU3TCN12CU3TCN12CU3TCN12CU4/CN12CU4/CN12CU3TCN6AL3TCN6AL3TCN4AL3TCN4AL3TCN2CU3TCN2AL3TC2/OALTrayIA-P20Nofruns/loading(A)5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.0Tray2AZ-P10Nofruns/loading(A)3/0.84/2.24/3.3I/18.0I/51.01.382/51.0I/101.0NofenergizedcablesNofunusedcablesactualwattshighesttemperature2325.1868.8'C1716.95TABLE<SPS-CABLE-001Rev.0Attachment3Page7of7}}
CABLESIZE3TCN12CU3TCN12CU3TCN12CU3TCN12CU4/CN12CU4/CN12CU3TCN6AL3TCN6AL3TCN4AL3TCN4AL3TCN2CU3TCN2AL3TC2/OALTrayIA-P20Nofruns/loading(A) 5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.0Tray2AZ-P10Nofruns/loading(A)3/0.84/2.24/3.3I/18.0I/51.01.382/51.0I/101.0Nofenergized cablesNofunusedcablesactualwattshighesttemperature 2325.1868.8'C1716.95TABLE<SPS-CABLE-001 Rev.0Attachment 3Page7of7}}

Revision as of 07:39, 29 June 2018

Rev 0 to Calculation PS-CABLE-001, Thermo-Lag Ampacity Derating.
ML17334A556
Person / Time
Site: Cook  American Electric Power icon.png
Issue date: 10/23/1997
From:
INDIANA MICHIGAN POWER CO.
To:
Shared Package
ML17334A555 List:
References
PS-CABLE-001, PS-CABLE-001-R00, PS-CABLE-1, PS-CABLE-1-R, NUDOCS 9711280217
Download: ML17334A556 (39)


Text

'(IV97).NUCLEARENGINEERING DEPARTHENT Calculation CoverSheetCookNuclearPlantSHEETIOFQElectrical Systems/Com onentsCALCULATION No.P5C8LE-OOSAFETYRELATEDYES~NOSYSTEM8"/TITLE7brs~~a~r R~Pa~ry'ZRazuua RFC/MM/PM/PR/CR/TM No.FILELOCATIONINDIANAMICHIGANPOWERCOMPANYUNITNo./~ZCALCULATED BY:VERIFIEDBY:APPROVEDBY:gD-/o-pDATEDATEDATECALCULATION DESCRIPTION:

dvi'ernu'lare4oesN8/rouM'ETHOOOFYfRIFICATION:ALTERNATE CALCULATION vREYIEWREVISIONNO.REASONFORCHANGECalculated 8OateVerifled8OateApproved8Date97ii2802i7 97ii24PDRADOCKQ50003i5PDR

1.0 Thiscalculation

reviewstheampacityderatingofallcablesinpowertray,protected with1-hourThermo-lag.

Theampacityderatingisreviewedfromtwoperspectives, development ofcorrection factorsandthecomparison oftrayloadstotestresults.Thecablesandtheirtrayareidentified inAttachment l.2.0IFTThederatingapproachforanalyzing theampacityofcablesintraywrappedwithThermo-lagistwotiered.First,cableshavebeenderatedforplacement inatraywithothercables,inaccordance withamaintained spacingcorrection factorderivedfromIPCEAP-46-426, TableVII.Thisfactorhasbeenappliedtotheopenairampacityoftherespective cables.Second,theTexasUtilities (TU)Thermo-lag deratingfactorof32%hasbeenconservatively appliedtotherespective deratedcableampacitytoaccountfortheThermo-lag thermalbarrierinstalled aroundthesubjecttrays.Thisapproachderateseachcablefirsttoaccountforitsphysicalplacement, andsecondlytoaccountforThermo-lag.

3.0~A@3.1DesignStandard1-2-EDS-642 directsthatallpowercablesshallbeconfigured inasinglelayerwithmaintained spacingwheninstalled inapowertray.AllcablesintrayswrappedwithThermo-lag havebeenderatedinaccordance withIPCEAP-46-426becauseofit'treatment ofcableswithmaintained spacing.ICEAP-54-440wasnotusedbecauseitwasdeveloped forfullyloadedcableswithnospacebetweenthem.Acorrection factorof0.8hasbeenderivedfromIPCEAP-46-426, TableVIItoaccountforconfigurations of12ormorehorizontal cablesinasinglelayer.This'correction factorhasbeenappliedtoallcablesintrayswrappedwithone-hourThermo-lag, excepttray1AI-P4wherean0.87correction factorhasbeenused(onlythreecablespresentintray).Thesederatedampacities arelistedinAttachment 1.PS-CABLE-001 Rev.0Page2of6 Inordertopredictcorrection factorsforfillsgreaterthanthosediscussed inIPCEAP-46-426(upto6horizontal cables),itisnecessary todetermine theimpacttheneighboring cableswillhaveonthecableofconcern.Theworstcondition iswhenthecableofconcernisinthecenterofthecablegroup.Thecorrection factorsforthecablesareexpectedtobeinfluenced bytwofactors,thechangeintheeffective ambienttemperature causedbytheheatgenerated bytheothercablesinthetrayandthechangesinthethermalresistance fromthecentercabletotheambientduetothepresenceoftheneighboring cableswhichimpactthermalconvection andradiation fromthecabletotheambient.AsnotedintheIPCEAtable,thecablesdirectlyadjacenttothecableofconcernhavethehighestimpact(a13%reduction forthefirsttwocablesdirectlyadjacenttothecentercable).Asthenumberofcablesincrease, theimpactontheenvironment ofthecableofconcernisreducedduetothephysicalseparation thatexists,andtherefore, thecorrection factorisreducedbyonly1%fortheadditionofaflAhorsixthcableintheraceway.Itisexpectedthattherewillbeapointwheretheadditionofcablesinthehorizontal planewillnolongerinfluence theenvironment ofthecableofconcernandwillresultinnoadditional cablederating.

Hence,thecorrection factorwillreachalimitthatitdoes'notfallbelow,regardless ofthenumberofcablesinthehorizontal path.MATHCADsoftwarewasusedtodetermine thecorrection factorof0.8.First,amathematical modelwasdeveloped whichrepresents thecorrection factorsalreadyidentified intheIPCEAstandard.

Themodelconsistsofthreecomponents

.Thefirstisanexponential termtoreflecttheeffectoftheincreaseinthecablethermalresistance duetoadjoining cables,thesecondisalsoanexponential termthatreflectstheeffectofadditional heatgeneration intheraceway,andthethirdisaconstanttorepresent thelimitingvalueofthederatingmultiplier.

MATHCADwasthenutilizedtocalibrate thismodelutilizing theknowncorrection factorsintheIPCEAstandardandtocalculate thecorrection factorsforquantities ofcablesgreaterthanthemaximumvalueof6.Theresultofthismathematical modeldetermined thatafter12cables,thecorrection factorremainedconstantat0.8.Therefore, aconservative deratingfactorof0.8canbeusedforfillsgreaterthan6cables.TheMATHCADfileandresultscanbefoundinAttachment 2';Thismodelassumesthatallcablesarecarryingtheirrespective ratedampacity.

Ifacableiscarryinglittleornocurrent,thenthereisnosignificant increaseintheambienttemperature.

Hence,theeffectontheenvironment ofthecableofconcernisnegligible, ThemajorityofcablesatD.C.Cookplantarelightlyloadedandtherefore thecorrection factorof0.8isconservative.

PS-CABLE-001 Rev.0Page3of6

3.2TheTUderatingfactorof32%forcablesintrayswrappedwith1-hourThermo-lag hasbeenappliedtocablesintrayswrappedwith1-hourThermo-lag atDCCook.Theapplication oftheTU32%deratingfactorisconsidered appropriate andconservative forapplication atDCCookforthefollowing reasons:-ThetraysusedfortheTUtestingandthetraysusedatDCCookarebothventilated

'addertype,withnocover.-TheTUtestingwascomprised of1263/CII6CVcablesenergized at15.9Ain24"x4"tray.Thisconfiguration requiredthedissipation of49W(126x3x15.9A2x5.14E-04Q) through4.67ftofThermo-lag thatsurrounds thetray.Therefore theratioofunitheatgenerated tounitareaofdissipation fortheTUtestingwas10.5W/ft.

Theboundingratioofheatgenerated (25.18W)toareaofdissipation (3ft)forDCCookis8.4W/ft(usingthewattageoftray1A-P20astheboundingcase).Acomparison oftheheatgenerated toareaofdissipation ratiosshowsthatapplyingtheTUderatingfactorisconservative forDCCookapplications.

-TheTUtestingutilizedpnadditional thermalbarrier,SilTempcloth.ThisisnotusedatDCCook(asourceofconservatism whenapplyingtheTUderatingfactortoDCCook).-TheTUtestingutilized1/2"Thermo-lag panels,asdoesDCCook.4.0AreviewofAttachment 1indicates that2560G/1AI-P4 doesnothaveamarginbetweenitsconnected loadandtheavailable ampacityaAerbeingderatedinaccordance withsections3.1and3.2.Tray1AI-P4containsjustthreecables,twoofwhichhaveminormotoroperatedvalveloads(<0.5A).Giventheshortoperating timeofthesevalves(<2minutes),

thecablespoweringthemineffectcontribute noheattothesteadystateinner-tray environment.

Therefore thesetwocablesmaybedisregarded withrespecttothederatingofthethirdcable,2560G(i.e.-2560Gneednotbederatedforplacement intraywithothercables).Thisthirdcablesuppliespowertoaweldingreceptacle ratedfor60A.Tojustifytheloadingofthiscablethenatureofloadmustbeconsidered.

Thenatureoftheloadisinfrequent andintermittent, therefore theemergency overloadratingofthecableshouldbeconsidered.

ForXLPEtypeinsulation, theemergency overloadratingis130'C.PS-CABLE-001

'Rev.0Page4of'6

Thistemperature ratingofthecableisforthosesituations inwhichtheloadcurrentishigherthannormalbutisnotexpectedtolastmorethan100hoursatanygiventimeormorethanatotalof500hoursinthelifeofthecable(Reference 5).Adjusting forachangeinheatriseofthecable(90'Cto130'C)inaccordance withIPCEA-P-46-426 eq.5,afreeairemergency overloadampacityof87Aiscalculated.

Applyingthe32%TUfactorderatesitto59A.Theportableweldingequipment commonlyusedatDCCookdrawslessthan50A.Also,itisexpectedthatduringthelifeoftheweldingreceptacle itwouldbeusedwithinthetimeparameters associated withtheemergency overloadratingofthecable.Therefore thiscableanditsloadingisconsidered acceptable.

5.0 Asanalternate

meansofreviewoftheloadingofThermo-lag wrappedtrayslistedinAttachment 1,directcomparisons andcorrelations betweentestsandactualconfigurations havebeenmadeinAttachment 3.ThisishighlyrelevanttothestudyofampacityloadingofThermo-lag wrappedtrays.In1983,theCantonTestLabperformed TestCL-542(Attachment 4)tosimulatetheeffectsof1/2"Thermo-lag onconductor temperatures ofspacedcables.Thesetestsreplicated actualinstalled racewayconfigurations, including thenumberandsizeofcables,loadingandspacing.Asanexample,CL-542Tests1and3weredesignedtoreplicate trays1AZ-P8and1A-P20,respectively.

Directcomparison orcorrelation ofdataprovidedbythesetestsandtraysunderreview,providesanexcellent meansofassurance thatthetemperature ratingsofthespacedcableswillnotbeexceededatthestatedloadingswhiletheparenttrayiswrappedin1/2"Thermo-lag.

Attachment 3,Tables1and2,provideadirectcomparison betweendatafromCL-542test1and3andthecablescontained intrays1AZ-P8and1A-P20.Thetestcurrentsusedinthetestwereequaltoorgreaterthantheactualloadingoftherespective cables.Areviewofthesetablesshowsthatnocablesexceedtheirtemperture rating(90C).whileenergized attheirdesignloads,infact,allconductor temperatures arelessthan70'C.Attachment 3,Tables3through8,providecorrelations betweendatafromCL-542test3andothertrayswhichareconsidered tobeenveloped bythistest.Areviewofthesetablesshowsthattray1A-P20envelopes allothertraysinbothnumberofcablesandloading.PS-CABLE-001 Rev.0Page5of6 l.IPCEAP-46-4262.ICEAP-54-4403.TexasUtilities TestReport4.DCCookElectrical DesignStandard1-2-EDS-642 5.EPRIPowerPlantReference Guide-WireandCable6.DCCookTrayContentsListing7.DCCookConduitandCableDrawingsHT1.Deratingtables2.MATHCADfiles3.Testresultsappliedtotrays4.CL-542testreport5.DesignVerification PS-CABLE-001 Rev.0Page6of6 00 TRAY¹TRAYSIZEFIREBARRIER1AI-Pl12"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODOPENAIRAMPACITY80%OPEN32%TSIAIRAMPACITYDERATINGMARGIN8255R8174R8177R8113R3TC¹12CU0.320.333TC¹12CU0.324.003TC¹12CU0.324.003TC¹12CU0.320.3336363628.828.828.828.819.5819.5898.3179.5819.5879.5819.5898.318119R3TC¹12CU0.320.333628.819.5898.318300R8304R8308R8311R8294R8026R8027R1623R1642R2536R9086R9092R9645R8755RH80083R28765R3TC¹12CU.0.320.333TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.322.103TC¹12CU0.321.003TC¹12CU0.321.603TC¹12CU0.321.603TC¹12CU0.322.903TC¹6AL0.6937.003TC¹12CU0.323.48SPARE31/C4/OCU3TC¹12CU0.322.004/C¹12CU0.5210.003TC¹8AL0.6025.003636363636363636363636693628.828.828.828.828.828.828.828.828.841.628.828.828.855.228.819.5898.3119.5898.3119.5898.3119.5898.3128.2911.6219.5891.8319.5891.8319.5885.1937.541.4319.5882.2319.5898.3119.5889.2819.5894.8919.5889.7919.5848.94Note:4/C¹12CUampacityIsderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment 1Page1of9

TRAY¹TRAYSIZEFIREBARRIER1AI-P212"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODOPENAIRAMPACITY80%OPEN32%TSIAIRAMPACITYDERATINGMARGIN8116G3TC¹12CU0.320.333628.819.5898.318119G8185G8194G8197G8250G8300G8304G8308G8311G8270G3TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.323.203TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.320.333TC¹12CU0.320.703636363636363636363628.828.828.828.828.828.828.828.828.828.819.5898.3119.5898.3119.5883.6619.5898.3119.5898.3119.5898.3119.5898.3119.5896.4319.5898.3119.5898.312978G2559G3TC¹6AL3TC¹6ALSPARESPARE8756GH3TC350MCM AL1.9150.80397317.6215.9730.178751GH8753GH3TC¹GAL0.6915.503TC¹2AL0.9349.4012755.2101.637.5469.0958.7128.508755GH1500G3TC¹6AL0.6937.003TC2lQAL1.2750.30206164.8112.0655.1155.2~37.541.43PS-CABLE-001 Rev.0Attachment 1Page2of9 TRAYSTRAYSIZEFIREBARRIER1AI-P412"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPE8116G3TC412CU8119G3TC412CU2560G3TCKALCBLFLAOPENAIR87loOPEN32foTSIODAMPACITYAIRAMPACITYDERATINGMARGIN0.320.403631.3221.3098.120.320.403631.322'I.3098.120.6960.006960.0340.82-46.99Weidingrecepticle sw.rating.It'ttttdld.PS-CABLE-001 Rev.0Attachment 1Page3of9 TRAY¹TRAYSIZEFIREBARRIER1A-P2012"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODFLAOPENAIRAMPACITY80%OPENAIRAMPACITY32/oTSIDERATINGMARGIN8113R8119R1623R1642R3TC¹12CU3TC¹12CU3TC¹12CU4/C¹12CU0.320.710.320.710.322.600.546.403636363628.828.828.828.819.5896.3719.5896.3786.7219.5819.5867.328026R3TC¹12CU0.322.703628.819.5886.218027R8294R2349R3249R1509R2353R3TC¹12CU3TC¹12CU3TC¹12CU3TC¹6AL3TC¹12CU4/C¹12CU0.321.200.320.710.321.900.6912.70SPARE0.5216.003636363628.828.828.855.228.819.5893.8719.5896.3719.5890.3037.5466.1719.5818.302354R4/C¹12CU0.5416.003628.819.5818.302355R2356R3TC¹12CU3TC¹4AL0.321.500.836.00369428,875.219.5892.3451.1429.608984R3TC¹12CU0.3215.603628.819.5820.348987R1656R9217R3TC¹12CU3TC¹2AL3TC¹12CU0.3215.60360.320.71360.9360.0012728.8101.628.819.5820.3469.0913.1519.5896.379221R2348R2962R3TC¹12CU3TC¹12CU3TC¹12CU0.320.710.326.800.326.8036363628.828.828.819.5896.3719.5865.2819.5865.282361R1440R8753RH3TC¹6AL3TC¹2AL3TC¹4AL0.6931.40690.849.00940.9360.0012755.2101.675.237.5416.3551.144.1869.0913.15Note:4/C¹12CUampacityisderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment.1 Page4of9

TRAY¹TRAYSIZEFIREBARRIER1AZ-P812"Wx6"D1HOURRATEDTHERMO-LAG CABLENO-1470R1469RCABLETYPE3TC¹12CU3TC¹12CUCBLOD0.323.800.3216.003636FLAOPENAIRAMPACITY80%OPENAIRAMPACITY28.880.6019.5819.5818.3032%TSIDERATINGMARGIN8067R3TC¹12CU0.321.203628.819.5893.878024R8187R8026R3TC¹12CU3TC¹12CU3TC¹12CU0.321.100.328.480.322.70363628.828.828.819.5894.3819.58'6.7019.5886.218027R3TC¹12CU0.321.203628.8195893.872349R1476R1488R3TC¹12CU3TC¹12CU3TC¹12CU0.321.90SPARE0.323.80363628.828.819.5890.3019.5880.601991R3TC¹2AL0.9360.00127101.669.0913.156666R-3TC¹12CU0.322.503628.819.5887.23PS-CABLE-001 Rev.0Attachment 1Page5of9

TRAY¹TRAYSIZEFIREBARRIER1AZ-P912"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODFLAOPENAIRAMPACITY80%OPENAIRAMPACITY32%TSIDERATINGMARGIN81,13R8119R1623R3TC¹12CU0.323TC¹12CU0.323TC¹12CU0.320.710.712.60363628.828.828.819.5896.3796.3719.5819.5886.721642R4/C¹12CU0.526.403628.819.5867.328026R3TC¹12CU0.322.703628.819.5886.218027R3TC¹12CU0.321.203628.819.5893.872349R9217R9221R3TC¹12CU0.323TC¹12CU0.323TC¹12CU0;321.900.170.17-36-363628.828.828.899.1319.5819.5890.3019.5899.131440R3TC¹2AL0.9360.00127101.669.0913.158753RH3TC¹4AL0.849.009475.251.144.18Note:4/C¹12CUampacityisderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment 1Page6of9 TRAY¹TRAYSIZEFIREBARRIER2AI-P212"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODOPENAIR80%OPEN32%TSIAMPACITYAIRAMPACITYDERATINGMARGIN3010G3TC¹12CU0.323012G4/C¹12CU0.523013G4/C¹12CU0.528987G3TC¹12CU0.329217G3TC¹12CU0.323014G3TC¹6CU0.858984G3TC¹1OCU0.461.7516.0016.0016.000.7136.0015.603636363636894828.828.828.828.828.871.238.419.5819.5819.5819.5819.5848.4226.1191.0618.3018.3018.3096.3725.6440.26Note:4/C¹12CUampacityisderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment 1Page7of9

TRAY¹.TRAYSIZEFIREBARRIER2AZ-P312"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODOPENAIR80%OPEN32%TSIAMPACITYAIRAMPACITYDERATINGMARGIN8332G966561970G9696G3001G13945G3010G3012G3013G8987G3Q14G9965G9958G8645G8138G3TC¹12CU3TC¹12CU4/C¹12CU3TC¹12CU3TC¹2CU3TC¹2CU3TC¹12CU4/C¹12CU4/C¹12CU3TC¹12CU3TC¹6AL4/C¹12CU3TC¹12CU3TC¹12CU3TC¹12CU0.323.80SPARE0.526.70SPARE1.081.381.0873.000.32'1.500.5216.000.5216.000.3216.000.6936.000.527.90.321.QQ0.322.90CO3616236363636693636NTROL28.828.8129.6129.628.828.828.828.855.228.828.828.819.5819.5888.1388.1319.5819.5819.5819.5837.5419.5819.5819.5880.6065.7998.4317.1792.3418.3018.3018.304.0959.6694.8985.19820463TC¹12CU0.3218.003628.819.588.098317G8756GH8050GH8053GH3TC¹12CU3TC¹2/QAL 7/C¹12CU3TC¹8CU0.323.801.2796.4036206CONTROL0.7212.896628.8164.852.819.58112.0635.9080.6Q13.9864.10Note:4/C¹12CUampacityisderivedfromonly3conductors utilizedPS-CABLE-001 Rev.0Attachment 1Page8of9 TRAY¹TRAYSIZEFIREBARRIER2AZ-P1012"Wx6"D1HOURRATEDTHERMO-LAG CABLENOCABLETYPECBLODFLAOPENAIR80%OPENAMPACITYAIRAMPACITY32%TSIDERATINGMARGiN8755RH3TC¹2AL8753RH3TC¹4AL0.930.850.3050.3012794101.675.269.0951.142?.191.638756RH3TC2/OAL1500R3TC¹2AL1.270.93100.5020650.30127164.8101.6112.0669.0910.3227.198206R3TC¹12CU9962R3TC¹12CU9951R-3TC¹12CU 9901R3TCN2CU9908R3TC¹12CU16666R3TC¹12CU8327R3TC¹12CU8024R3TC¹12CU2481R3TC¹2CU8274R3TC¹12CU9221R3TC¹12CU9217R3TC412CU8030R3TC¹12CU8560R3TC¹12CU0.320.320.320.320.320.320.321.080.320.320.320.320.3218.00SPARE0.802.992.992.142.991.001.382.200.710.711.343.29363636363616236363628.828.828.828.828.828.828.8129.628.828.828.828.828.819.5819.5819.5819.5819.5819.5819.5888.1319.5819.5819.5819.5819.588.0995.9284.7384.7389.0784.7394.8998.4388.7796.3796.3793.1683.20PS-CABLE-001 Rev.0Attachment 1Page9of9 TheMathcadsoftware(version6.0byMathSoftInc.)containsafunctionthatallowstheusertosolveasystemofsimultaneous equations withanequalnumberofequations andunknowns(50max.).Thismethodreturnsnumbersfortheunknownvariables.

Therearefourstepstosolvingasystemofsimultaneous equations.

Theseare:1.)Provideaninitialguessfortheunknowns.

Mathcadsolvesequations bymakingaseriesofguesseswhichultimately convergeonthecorrectanswer.TheinitialguessesprovideMathcadwithaplacetostartsearching forsolutions.

2.)ThewordGivenistyped,followedbytheseriesofequations.

3.)Theseriesofequations andinequalities inanyorderbelowthewordGiven.4.)TypeanyequationthatinvolvestheMinenfunction.

TheMinerrfunctionreturnsavectorofanswersthatsolvethesystemofequations.

Theequationusedinthismathematical modelis:.a+be(tq/~q)+c e(t~/~~)=mf(t)where:aisaconstantrepresenting limitingvalueofderatingfactorb&~qarevariables inanexponential toreflecttheeffectoftheincreaseincablethermalresistance duetoadjoining cablesc8~2arevariables inanexponential toreflecttheeffectofadditional heatgeneration intheraceway.Guessesa."-0.75b:~0.15c:-0.1m:-2.2n,'=1.7Givena>bic=1.0(1)1a.tbexp(--)~ccxp-=0.93(m)"n'heret=0/2>2asbexp~-)acexp--=0.87Im)n/3h3aibcxp(-.)icexp-=0.84I)naibexpI..<icexpt-=0.82I)P5-CABLE-00l Rev.0A8ndleienk2.'deIof3 aa'bb!jicctMinerr(a, b,c,m,n)iImmrnn"'F::.10.930.870.840.830.82MFisavectorofthedataincludedinTableVllofICEAPR2-426.aa=0.8bb~0.129cc=0.073mm~1.974nn=1.991/tKtKmf(t)aa-bbexp~-jtccexp-jt'=0,1..5Illtnnnjm/20)=0.8l.051.030.98)0.950.93MFt0.90.880.850.830.8/mf(t)~MF,error(t),-

"-------MFterror:=gerror(titterror1.56810I3gt:ABLE'-OPJ gt.o.O8gujh~f.'"~

~Pa~e2aP3

0.980.96-~0.940.92-mgt)090.880.86~0,84~0,82-0.80..200mft't)1.002

Comparison ofCI542TestIResultsfoTrayIAZ-P8CABLESIZE'TC¹12CU3TC¹12CU3TC¹2ALTESTCURRENT'.8 20.060.0RUNSINTRAY'IGHEST CONDUCTOR TEMP.('C)'5.659.755.7CABLE(S)SIMULATED 1470R,8067R,8024R,8026R,8027R,2349R,16666R-21469R,8187R,1488R1991RYABLk1Comparison ofCL-542Test3ResullsfoTrayIA-P20CABLESIZE'TC¹12CU 3TC¹12CU3TC¹12CU3TC¹12CU4/C¹12CU4/C¹12CU3TC¹6AL3TCN6AL3TC¹4AL3TCN4AL3TC¹2ALTESTCURRENT~0.716.816.06.816.016.036.036.053.060.0RUNSINHIGHESTCONDUCTOR TRAY~TEMP.('C)i54.657.960.467.355.262.757.665.957.968.863.7CABLE(S)SIMULATED 8113R,8119R 8294R,9217R,9221R 1623R,8026R,8027R,2349R,2355R 2348R,2962R8984R,8987R1642R,2353R,2354 R3249R,2361R2356R,8753RH1656R,1440R YABLC<2'estdataconformstotheactualcablessizes,numberofruns,loadingandconfiguration oftraylAZ-P8.2Testdataconformstotheactualcablessizes,numberofruns,loadingandconfiguration oftraylA-P20.PS-CABLE-001 Rev.0Attachment 3Page1of7 CABLESIZE3TC¹12CU3TC¹12CU3TC¹12CU3TC¹12CU4/C¹12CU4/C¹12CU3TC¹8AL3TC¹6AL3TC¹6AL3TC¹4AL3TC¹4AL3TC¹2AL¹ofenergized cables¹ofunusedcablesactualwattshighesttemperature TrayIA-P20¹ofruns/loading (A)I5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAI-PI¹ofruns/loading(A)8/0.335/2.104/4.0I/10.01/25.0I/37.0207.17TABLE3PS-CABLE-001 Rev.0Attachment 3Page2of7

CABLESIZE3TC¹12CU3TC¹12CU3TC¹12CU3TC¹12CU4/C¹12CU4/C¹12CU3TC¹6AL3TC¹6AL3TC¹4AL3TC¹4AL3TC¹2AL3TC2/OAL3TC350MCMAL¹ofenergized cables¹ofunused'cablesactualwattshighesttemperature TrayIA-P20¹ofruns/loading{A) 5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0~I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAl-P2¹ofruns/loading{A)10/1.0I/3.2I/15.5I/37.0I/50.0I/51.0I/1511612.4TABLE4PS-CABLE-001 Rev.0Attachment 3Page3of7 CABLESIZE3TC¹12CU3TC¹12CU3TC¹12CU3TC¹12CU4/C¹12CU4/C¹12CU3TC¹6AL3TC¹6AL3TC¹4AL3TC¹4AL3TC¹2AL¹ofenergized cables¹ofunusedcablesactualwattshighesttemperature TrayIA-P20¹ofruns/loading (A)5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTrayIAZ-P9¹ofruns/loading (A)4/0.714/2.70I/6.4I/49.0I/60.07.91TABLE5PS-CABLE-001 Rev.0Attachment 3Page4of7 Oi CABLESIZE3TCII12CU 3TCI112CU 3TC012CU3TC/I12CU 4/CP12CU4/CP12CU3TCI/10CU 3TCN6CU3TCN6AL3TC//6AL3TCP4AL3TC/I4AL3TC02AL//ofenergized cables//ofunused cablesactualwattshighesttemperature Tray1A-P20IIofruns/loading (A)5/0.715/2.82/6.82/16.01/6.82/16.01/16.01/36.01/36.01/53.02/60.02325.1868.8'CTray2AI-P2I/ofruns/loading(A)2/2.01/16.02/16.01/16.01/36.07.82TABLE6PS-CABLE-001 Rev.0Attachment 3Page5of7 CABLESIZE3TCN12CU3TCN12CU3TCN12CU3TCN12CU4/CN12CU4/CN12CU3TCN8CU3TCN6AL3TCN6AL3TCN4AL3TCN4AL3TCN2AL3TCN2CU3TCN2CU3TC2/OALNofenergized cablesNofunused/control cablesActualWattshighesttemperature TrayIA-P20Nofruns/loading(A) 5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.02325.1868.8'CTray2AZ-P3Nofruns/loading(A)2/1.53/3.82/18.02/7.92/16.0I/13.0I/36.0I/73.0I/1.38I/96.41619.89TABLE7PS-CABLE-001 Rev.0Attachment 3Page6of7

CABLESIZE3TCN12CU3TCN12CU3TCN12CU3TCN12CU4/CN12CU4/CN12CU3TCN6AL3TCN6AL3TCN4AL3TCN4AL3TCN2CU3TCN2AL3TC2/OALTrayIA-P20Nofruns/loading(A) 5/0.715/2.82/6.82/16.0I/6.82/16.0I/16.0I/36.0I/36.0I/53.02/60.0Tray2AZ-P10Nofruns/loading(A)3/0.84/2.24/3.3I/18.0I/51.01.382/51.0I/101.0Nofenergized cablesNofunusedcablesactualwattshighesttemperature 2325.1868.8'C1716.95TABLE<SPS-CABLE-001 Rev.0Attachment 3Page7of7