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'CALCULATXONNO.RES~SHEETNO.3.0MethodologyIETHERMO-lAGCONOUITCABLER(RtRgRsHeattransferwillbecalculatedperfootofracewaylengthinaccordancewiththefollowingrelationship:(TcTa)/(Rf+Q+Rc+Rs)qTcTsRgR~RsRateofheattransferfromracewayTemperatureofconductor(904C/194'P)Ambienttemperature(404C/1044P)ThermalresistanceofallitemswithintheracewayincludingtheracewayitselfThermalresistanceoftheairgapbetweentheracewayandthefirebarriermaterialThermalresistanceofthefirebarriermaterialThermalresistanceatthesurfaceoftheprotectedorunprotectedracewayForm83,Rev6/94 CALCULATIONNO.VREV~SHETNO.(Theheattransferred'fromtheracewayundexsteadystateconditionsisessentiallyequaltotheXRlosseswithintheconductors.Theseheatvaluescanbedteeexminedfromthetestdatabasedonthemeasuredcurrentandsizeofconductorused.T,andT,arefixedtestparameterswithvalueswhicharelistedabove.Thethexmalresistancevalueswillbedeterminedbasedontestdataandphysicalpropertiesasfollows:Rzwillbecalculatedfromthetestdataforracewaywithoutfirebarrier.Rwillbecalculatedfromtestdataforracewaywithafirebarxieroftestedthickness.R,willbecalculatedbasedontheknownthermalconductivity(k)forThermo-Lagmaterial.R,willbebasedonknownphysicalpropertiesandthelawsofconvectionandradiationheattransfer.Afterallofthethermalresistancevalueshavebeenestablished,theheattransferredcanbecalculatedfortheracewaywithadesiredthicknessoffirebarrierbyrecalculatingR,andR,consideringtheadditionalthickness.Sincetheheatisafunctionofthecurrentsquared,theampacitycorrectionfactor(ACF)willbedeterminedbythefollowingrelationship.ACF~l/E,/Z=(q~/q)wherethesubscriptpreferstotheprotectedraceway1/2Asatestofthemethodology,thetestdatafor1hourfirebarrierwillbeusedtopredicttheACFforthe3hourbaxriertest.Theseresultswillbecompaxedtothetestdatat6demonstratetheconservatismofthemethodology.4.0Assumptions/Bases4.aThetotalheatoatloadusedintheextrapolationoftheampacitycorrectionfactorsassociatedwithfirebarrierswillbebasedontheERlossesinthecableswhichwillberepresentativeofthetotalheatload.ThetestingdocumentedinReference2.6includedpairedsetsofconductorswiththesamecurrentrunninginoppositedirections;thexefore,themagneticfieldsassociatedwiththiscurrentwillbeeffectivelycanceled.Generally,inductivelossesareminimalinplantapplication~duetothepracticeofroutingthreephasesofpowercablesinthesameraceway.inductivelossesareaccountedfoxintheamoacityratingcalculationsforthecables.4.2Surfaceemittanceforcable,raceway,andThermo-Lagwi11beassumedtobeequal0.9.Notethatahighemittancevaluewillreducethethermalresistanceatsurfacehavinganoveralleffectofmaximizingtheampacityde-ratingfromadditionalthicknessofThermo-Lag.Foxm83,Rev6/94 CALCULATIONNO.REV~SHEETNO.4.3Heattransferthroughthesidesofcabletraywillbe>assumedtobeerTh'zero.iswillreducetheheattransferequationfortraytoaonedimensionalhttearansfer4"t'sequation.Asthetestedcabletrayisrelativelywide,24"comparedtothIdepth,thistestisexpectedtobeagoodapproximationforallcabletraywidths.4.4ThethicknessoftheThermo-Laginthetestsisassumedtobeattheminimumallowablethicknessspecified.ThisthicknesswillprovideaconservativeACFvalueasitmaximizesthethicknessofThermo-Lagwhichmustbeaddedtoreachthethickness.Conduit1HourThermo-Lag330-13HourThermo-Lag330-1Tray1HourThermo-Lag330-13HourThermo-Lag330-10.625Inches1.25Inches.0.625Inches1.125Inches(Ref.2.6Page6)4.5Thecalculationwillbeperformedassumingthefollowingboundingplantconfigurations:ConduitWith1HourBarrierBoundedby1to4"ConduitMaximumBarrierThickness=1-1/2"ConduitWith3HourBarrierBoundedby1to4"ConduitMaximumBarrierThickness~3-1/16"TrayorBankedConduitWith1HourBarrierBoundedby4"deeptrayand1to4"BankedConduitMaximumBarrierThickness~1-1/2"TrayorBankedConduitWith3HourBarrierBoundedby4"deeptrayand1to4"BankedConduitMaximumBarrierThickness3-1/16"AdjacentlayersoffirebarriersareassumedtobeinstalledwithalayeroftrowelgradematerialcreatingahomogeneousthicknessofThermo-Lagmaterialwithnointerveningairgaps.Anexceptionisthe1hourupgradewhichprovidesasecondlayerofThermo-Lag330applieddirectlyonthebaselayer.Forthiscase,thepotentialforadditionalthermalresistanceatthisinterfacewillbeignored.TheconservativeassumptionsrelativetotheThermo-Lagthicknessappliedwillcompensateforanyadditionalresistanceatthisinterface.4.6Racewayxsmadeofrigidsteel,magneticmaterial,whichistypicalforpowerplantinstallations.4.7Bankedconduitwhichisbankedinasingleplanecanbeassumedtobeequivalentcabletray.Bothconfigurationsinvolveacablemassarrangedinashallowrectangularsection.Bothconfigurationsinvolveanairgapbetweenthecablesandthefirebarriermaterial.Form83,Rev6/94 CALCULATIONNO.REV~SHEETNO.j4.8Thethermalresistancevaluesforallitemswithin'heracewayandfhbetweentheconduit.andthe'hermo-LagmaterialwillbeassumedtoremainconstantasadditionalthicknessofThermo-Lagisinstalled.Consideringthatthegeometryoftheseareasisnotchanged,thisapproximationisreasonable.4.9Thiscalculationisvalidforindoorareaswherethesurroundingairandsurfacetemperaturesarerelativelyequal.Airflowaroundtheracewayisassumedtobethelaminarflowregion.5.0Calculation5.1DeterminationoftestheatloadsTestheatlossinwattsiscalculatedbythefollowingequation:qEEIRNq=HeatPerFootITestCurrentRCableResistancePerFootN~NumberofConductorsRacewaySize(Conductor)TestCurrentResistancePerFootNumberofConductorsHeat/FtHeat/FtWattsBTU/Hr1II(1-4C/010).1"w/3HrBarrier30.531.8~001365.065.5017.2718.784II(12"3C/g6)4"w/1HrBarrier27.228.1.0005483614.6015.5849.8153.174II(12-3C/56)4"w/3HrBarrier26.025.3.0005483613.3445'212.6343'0Tray(96-3C/S6)Trayw/1HrBarrier28.817.0.000548288130914467845.61155.67Tray(96-3C/56)Trayw/3HrBarrier28.016.4.000548288123.73422.3042.45144.871.NormalizedtestcurrentisfromReference2.62.ResistanceperfootisfromRef.2.8Section2.5,Table2-6,Table6-13.MultiplyWattsby3.413toobtainBTU/HrForm83,Rev6/94 CALCULATIONNO.EEV~SHEETEO.5.2DeterminationofThermo;LagRvalues(R,)ForheattransferthroughThermo-LagcylinderR=Ln(Ro/Ri)/2mkL(Ref.2.3,Page2.3)RoEEOutsideRadiusRi~InsideRadiusk=ThermalConductivity~0.1BTU/Hr-FT-'F(Ref.2.7)L=Length~1Ft.(PerFoot)ForheattransferthroughThermo-LagsheetR=L/kA(Ref.2.3,Page2.3)LThicknessk=ThermalConductivity=0.1BTU/Hr-FT-4F(Ref.2.7)A=SurfaceAreaAfulltabulationoftheThermo-LagRvaluesforthevarioussizesisincludedinthespreadsheetbelow.5.3DeterminationofsurfaceRvalues(R,)Thesurfaceresistancewillconsiderfreeconvectionandradiationheattransfer.Forfreeconvectionq,=hAb,Tq,=heattransferredbyconvectionhconvectionheattransfercoefficientForhorizontalcylindersinairh.27(IT/L)'>(Ref,2.3,Page2.12)A=SurfaceAreaL=Characteristiclengthinfeet(diameterorwidth)ForradiationqEsAe(TETa)q,~Heattransferredbyradiations=1.714X10BTU/Hr-Ft2-R,BoltzmannConstantASurfaceareaeSurfaceEmittanceEs.9TAbsoluteTemperature,Rankine(Ref.2.3,Page2.11)(Assumption4.1)q=1.714X10(.9)A(Tg-Tz)Form83,Rev6/94 SCALCULATIONNO.RES~SHEETEQ.\TFortotalheattransfer'redfromthesurfaceq,qc+qrq,=.27(dT/L)'T+1.714X10(.9)A(T~-T~)qs=('27(6T/L)+1,714X10(.9)(T>-Tg)/6T]MThT/q=R=1/t[.27(bT/L)'1.714X10(.9)(T~-Tg)/IT]A)S.4CalculationofACFSTheACFiscalculatedusi.ngaspreadsheet.inaccordancewiththemethodologydescribedabove.Adescriptionofthespreadsheetfollows:OD/WThisisaninputvalueoftheconduitoutsidediameterorcabletraywidthininches.ConduitdiametersareobtainedfromReference2.S.THThisvalueisthethermo-Lagthicknessininches.ODTThisistheoutsidediameteroftheracewaywithanywrapcalculatedfromtheODand.TH.ForcabletrayODisnotcalculatedbecauseitwillalwaysbeequaltoW.ATheoutersurfaceheattransferarea.Notethatforcabletray,boththetopandbottomareasareincluded.Areaiscalculatedonthebasisofaonefootlengthofraceway.RzInsidethermalresistanceasdefinedabove.Thevalueiscalculatedfromthetestdatawithnowrapinaccordancewiththefollowingformula.TheRzvalue.calculatedisthenusedforthecaseswithfirebarrierinstalled.NotethatthereisnoRgandRtforthiscase.Ri.TshT/q-Rs,WheredT=90'F(Tempdropfromconductorsurfacetoambient)RGapthermalresistanceasdefinedabove.Thevalueiscalculatedfromthetestdataforracewaywithfirebarrierinaccordancewiththefollowingformula.TheRsvaluecalculatedisthenusedforextrapolatingcaseswithadifferentthicknessoffirebarrier.Rg5T/q-(R~+R,+R,),Where1T=90'FRcThermo-Lagthermalresistance.Thevalueiscalculatedinaccordancewiththefollowingequationswhichweredevelopedabove.ConduitTrayRE=Ln(ODT/OD)/2<ksR,TH/kA,k=.1k=.1(Ref.2.7)Form83Rev6/94 CALCULATIONNO.REV~SHEETNQ.R$Surfacethermalresistanceiscalculatedinaccordancewiththefollowingequationswhichweredevelopedabove.NotethatthehTinthisequationisbetweenthesurfaceandambientandtheTvaluesmustbein'R.Theambienttemperatureusedis1044F/564'R.Rs=I/(~27((T$-104)/ODT)+1714X10(.9)((T$+460)564)/(T$104)]ATsSurfacetemperatureofThermo-Lagorbareconduit.Thevalueisdeterminedbyiterationuntilq~qs.Heattransferred-Fortestcases,thetest.dataisused.Forextrapolatedcases,itiscalculatedasfollows:q=dT/(R,+R+R,+R),WherebT=904FqlHeattransferredfromthesurface-Calculateheattransferredfromthesurfaceasfollows:q~dT/RWhere6TEET$-1044FFromcontinuity,theheattransferredfromthesurfaceisthesameasthetotalheattransferred.Inordertosolvethevariouscases,TsisadjustedbyiterationuntilqEEq'.ACFAmpacitycorrectionfactorcalculatedbythefollowingequationwhichwasdevelopedabove.ACFEE(q>/q)Form83,Rev6/94 PSL-BFSM-98-005Revision0Page9of11RACEWAYHEATTRANSFERANDAMPACITYDE-RATING-CONDUITODTHODTARiRgRtRsTs4qq'NININSQFTBTU/HR-FBTU/HR-FBTU/HR-FBTU/HR-FFBTU/HBTU/HACFValuesExtrapolatedfrom1"ConduitTestwl3HourWrapTestUnwrapped1.31501.3150.34433.891TestWrapped1.3151.253.8150.99883.891-1.354Extrapolated1HR1.3151.54.3151.12973.891-1.354Extrapolated3HR1.3153.067.4351.94653.891-1.354'l.31961.69520.56061.89120.50792.75710.3247126.79114.53113.26109.2017.27217.27~18.77518.781.04318.2318.231;02716.0216.020.9635ID*i3ItdI4"6dIt2t.II~HWTestUnwrapped4.504.51.17811.365TestWrapped4.50.6255.751.50531.365Extrapolated1H4.51.57.51.96351.365~EtIhd3RR4.53.D6ID.622.18D31.385Predict3HRTest4.51.2571.83261.365-0.422-0.422-0.422-0.4220.44190.39010.36030.8130.29571.3666'0.2850.70320.3116126.01123.16116.98111.99118.3349.8149.8153.1753.171.03343.8843.880.939'5.5235.520.84445.9845.980.961YatuesExtrapolatedfrom4"ConduitTestwl3HourWrapTestUnwrapped4.504.51.17811.531TestWrapped4.51.2571.83261.531Extrapolated1HR4.5l.57.51.96351.531Extrapolated3HR4.53.0610.622.78031.531-0.459-0.459-0.4590.44650.70320.31360.8130.29751.36660.2259124.32117.52116.271Il.6345.6245.52~43.1043.100.97341.2541.250.95233.7933.790.862 PSL-8FSM-98-005Revision0Page10of11RACEWAYHEATTRANSFERANDAMPACITYDE-RATlNGCABLETRAY/BANKEDCONDVlTWTHARiRgRtRsTsq-q'NINSQFTBTUIHR-FBTUIHR-FBTUIHR-FBTUIHR-FFBTUIHBTU/HACFValuesExtrapolatedTestUnwrappedTestWrappedExtrapolated1HRExtrapolated3HRPredict3HRTestfrom4X24"TrayTestw/.1HourWrap24040.071240.62540.0710.228241.540.0710.228243.0640.0?10.228241.12540.0710.2280.13040.13020.14920.3125.0.15340.63750.15850.23440.15i8l62.24127.22122.06117.03123.95446.78155.67117.7082.2113l.40448.78~155.670.5SO117.700.51382.210.429131400.542ValuesExtrapolatedfrom4X24"TrayTestw/3HourWrapTestUnwrapped24040.082TestWrapped241.125400820155Extrapolated1HR241.540.0820.155Extrapolated3HR24-3.0640.0820.1550.13150.23440.15030.31250.15210.63750.1577159.53125.78123.53117.76422.30422.30~144.88144.880.586128.36128.360.55187.2387.230.454 CALCULATIONNO.HEY~SHEETNO.6.0ResultsThemostconservativeresultsfor1hourand3hourconduitandcabletrayarelistedbelow.Thelessconservativevaluesfromthespreadsheetcanalsobeusedforapplicablefieldconditions.0ItemACF1HRConduit.943HRConduit1HRTray(BankedConduit)3HRTray(BankedConduit).43Notethatthesecorrectionfactorsarecontingent,uponthemaximumthickness,'installationrequirements,andsizelimitsdetailedintheAssumptions/Basis.DiscussionThecalculationspreadsheetprovidednegativevaluesforRforconduit.Anegativevalueforthermalresistancehasnorealphysicalmeaning.Thenegativevalueisaresultofbackcalculatingtheresistancefromtestdata.Asthetotalresistanceismadeupof4components,thenegativevalueissimplyacorrectionforaresistancevaluethatisexcessiveforoneoftheothercomponents.Thenegativevaluedoesnotinterferewiththecalculationbecauseitisalwaysaddedtotheothercomponentstoobtainthetotalresistance.WhenthemethodologywasusedtopredicttheACFforthetested3hourbarriersusingthetestdatafromthe1hourbarriers,theresultswereasfollows:PredictedValueTestValue4"Conduitw/3hourbarrierCableTrayw/3hourbarrier.96.54.97.59Theseresultsdemonstratethatthemethodologyusedtoextrapolatethetestdataprovidesconservativeandreasonablyaccuratevalues.Form83,Rev6/94  
'CALCULATXONNO.RES~SHEETNO.3.0MethodologyIETHERMO-lAGCONOUITCABLER(RtRgRsHeattransferwillbecalculatedperfootofracewaylengthinaccordancewiththefollowingrelationship:(TcTa)/(Rf+Q+Rc+Rs)qTcTsRgR~RsRateofheattransferfromracewayTemperatureofconductor(904C/194'P)Ambienttemperature(404C/1044P)ThermalresistanceofallitemswithintheracewayincludingtheracewayitselfThermalresistanceoftheairgapbetweentheracewayandthefirebarriermaterialThermalresistanceofthefirebarriermaterialThermalresistanceatthesurfaceoftheprotectedorunprotectedracewayForm83,Rev6/94 CALCULATIONNO.VREV~SHETNO.(Theheattransferred'fromtheracewayundexsteadystateconditionsisessentiallyequaltotheXRlosseswithintheconductors.Theseheatvaluescanbedteeexminedfromthetestdatabasedonthemeasuredcurrentandsizeofconductorused.T,andT,arefixedtestparameterswithvalueswhicharelistedabove.Thethexmalresistancevalueswillbedeterminedbasedontestdataandphysicalpropertiesasfollows:Rzwillbecalculatedfromthetestdataforracewaywithoutfirebarrier.Rwillbecalculatedfromtestdataforracewaywithafirebarxieroftestedthickness.R,willbecalculatedbasedontheknownthermalconductivity(k)forThermo-Lagmaterial.R,willbebasedonknownphysicalpropertiesandthelawsofconvectionandradiationheattransfer.Afterallofthethermalresistancevalueshavebeenestablished,theheattransferredcanbecalculatedfortheracewaywithadesiredthicknessoffirebarrierbyrecalculatingR,andR,consideringtheadditionalthickness.Sincetheheatisafunctionofthecurrentsquared,theampacitycorrectionfactor(ACF)willbedeterminedbythefollowingrelationship.ACF~l/E,/Z=(q~/q)wherethesubscriptpreferstotheprotectedraceway1/2Asatestofthemethodology,thetestdatafor1hourfirebarrierwillbeusedtopredicttheACFforthe3hourbaxriertest.Theseresultswillbecompaxedtothetestdatat6demonstratetheconservatismofthemethodology.4.0Assumptions/Bases4.aThetotalheatoatloadusedintheextrapolationoftheampacitycorrectionfactorsassociatedwithfirebarrierswillbebasedontheERlossesinthecableswhichwillberepresentativeofthetotalheatload.ThetestingdocumentedinReference2.6includedpairedsetsofconductorswiththesamecurrentrunninginoppositedirections;thexefore,themagneticfieldsassociatedwiththiscurrentwillbeeffectivelycanceled.Generally,inductivelossesareminimalinplantapplication~duetothepracticeofroutingthreephasesofpowercablesinthesameraceway.inductivelossesareaccountedfoxintheamoacityratingcalculationsforthecables.4.2Surfaceemittanceforcable,raceway,andThermo-Lagwi11beassumedtobeequal0.9.Notethatahighemittancevaluewillreducethethermalresistanceatsurfacehavinganoveralleffectofmaximizingtheampacityde-ratingfromadditionalthicknessofThermo-Lag.Foxm83,Rev6/94 CALCULATIONNO.REV~SHEETNO.4.3Heattransferthroughthesidesofcabletraywillbe>assumedtobeerTh'zero.iswillreducetheheattransferequationfortraytoaonedimensionalhttearansfer4"t'sequation.Asthetestedcabletrayisrelativelywide,24"comparedtothIdepth,thistestisexpectedtobeagoodapproximationforallcabletraywidths.4.4ThethicknessoftheThermo-Laginthetestsisassumedtobeattheminimumallowablethicknessspecified.ThisthicknesswillprovideaconservativeACFvalueasitmaximizesthethicknessofThermo-Lagwhichmustbeaddedtoreachthethickness.Conduit1HourThermo-Lag330-13HourThermo-Lag330-1Tray1HourThermo-Lag330-13HourThermo-Lag330-10.625Inches1.25Inches.0.625Inches1.125Inches(Ref.2.6Page6)4.5Thecalculationwillbeperformedassumingthefollowingboundingplantconfigurations:ConduitWith1HourBarrierBoundedby1to4"ConduitMaximumBarrierThickness=1-1/2"ConduitWith3HourBarrierBoundedby1to4"ConduitMaximumBarrierThickness~3-1/16"TrayorBankedConduitWith1HourBarrierBoundedby4"deeptrayand1to4"BankedConduitMaximumBarrierThickness~1-1/2"TrayorBankedConduitWith3HourBarrierBoundedby4"deeptrayand1to4"BankedConduitMaximumBarrierThickness3-1/16"AdjacentlayersoffirebarriersareassumedtobeinstalledwithalayeroftrowelgradematerialcreatingahomogeneousthicknessofThermo-Lagmaterialwithnointerveningairgaps.Anexceptionisthe1hourupgradewhichprovidesasecondlayerofThermo-Lag330applieddirectlyonthebaselayer.Forthiscase,thepotentialforadditionalthermalresistanceatthisinterfacewillbeignored.TheconservativeassumptionsrelativetotheThermo-Lagthicknessappliedwillcompensateforanyadditionalresistanceatthisinterface.4.6Racewayxsmadeofrigidsteel,magneticmaterial,whichistypicalforpowerplantinstallations.4.7Bankedconduitwhichisbankedinasingleplanecanbeassumedtobeequivalentcabletray.Bothconfigurationsinvolveacablemassarrangedinashallowrectangularsection.Bothconfigurationsinvolveanairgapbetweenthecablesandthefirebarriermaterial.Form83,Rev6/94 CALCULATIONNO.REV~SHEETNO.j4.8Thethermalresistancevaluesforallitemswithin'heracewayandfhbetweentheconduit.andthe'hermo-LagmaterialwillbeassumedtoremainconstantasadditionalthicknessofThermo-Lagisinstalled.Consideringthatthegeometryoftheseareasisnotchanged,thisapproximationisreasonable.4.9Thiscalculationisvalidforindoorareaswherethesurroundingairandsurfacetemperaturesarerelativelyequal.Airflowaroundtheracewayisassumedtobethelaminarflowregion.5.0Calculation5.1DeterminationoftestheatloadsTestheatlossinwattsiscalculatedbythefollowingequation:qEEIRNq=HeatPerFootITestCurrentRCableResistancePerFootN~NumberofConductorsRacewaySize(Conductor)TestCurrentResistancePerFootNumberofConductorsHeat/FtHeat/FtWattsBTU/Hr1II(1-4C/010).1"w/3HrBarrier30.531.8~001365.065.5017.2718.784II(12"3C/g6)4"w/1HrBarrier27.228.1.0005483614.6015.5849.8153.174II(12-3C/56)4"w/3HrBarrier26.025.3.0005483613.3445'212.6343'0Tray(96-3C/S6)Trayw/1HrBarrier28.817.0.000548288130914467845.61155.67Tray(96-3C/56)Trayw/3HrBarrier28.016.4.000548288123.73422.3042.45144.871.NormalizedtestcurrentisfromReference2.62.ResistanceperfootisfromRef.2.8Section2.5,Table2-6,Table6-13.MultiplyWattsby3.413toobtainBTU/HrForm83,Rev6/94 CALCULATIONNO.EEV~SHEETEO.5.2DeterminationofThermo;LagRvalues(R,)ForheattransferthroughThermo-LagcylinderR=Ln(Ro/Ri)/2mkL(Ref.2.3,Page2.3)RoEEOutsideRadiusRi~InsideRadiusk=ThermalConductivity~0.1BTU/Hr-FT-'F(Ref.2.7)L=Length~1Ft.(PerFoot)ForheattransferthroughThermo-LagsheetR=L/kA(Ref.2.3,Page2.3)LThicknessk=ThermalConductivity=0.1BTU/Hr-FT-4F(Ref.2.7)A=SurfaceAreaAfulltabulationoftheThermo-LagRvaluesforthevarioussizesisincludedinthespreadsheetbelow.5.3DeterminationofsurfaceRvalues(R,)Thesurfaceresistancewillconsiderfreeconvectionandradiationheattransfer.Forfreeconvectionq,=hAb,Tq,=heattransferredbyconvectionhconvectionheattransfercoefficientForhorizontalcylindersinairh.27(IT/L)'>(Ref,2.3,Page2.12)A=SurfaceAreaL=Characteristiclengthinfeet(diameterorwidth)ForradiationqEsAe(TETa)q,~Heattransferredbyradiations=1.714X10BTU/Hr-Ft2-R,BoltzmannConstantASurfaceareaeSurfaceEmittanceEs.9TAbsoluteTemperature,Rankine(Ref.2.3,Page2.11)(Assumption4.1)q=1.714X10(.9)A(Tg-Tz)Form83,Rev6/94 SCALCULATIONNO.RES~SHEETEQ.\TFortotalheattransfer'redfromthesurfaceq,qc+qrq,=.27(dT/L)'T+1.714X10(.9)A(T~-T~)qs=('27(6T/L)+1,714X10(.9)(T>-Tg)/6T]MThT/q=R=1/t[.27(bT/L)'1.714X10(.9)(T~-Tg)/IT]A)S.4CalculationofACFSTheACFiscalculatedusi.ngaspreadsheet.inaccordancewiththemethodologydescribedabove.Adescriptionofthespreadsheetfollows:OD/WThisisaninputvalueoftheconduitoutsidediameterorcabletraywidthininches.ConduitdiametersareobtainedfromReference2.S.THThisvalueisthethermo-Lagthicknessininches.ODTThisistheoutsidediameteroftheracewaywithanywrapcalculatedfromtheODand.TH.ForcabletrayODisnotcalculatedbecauseitwillalwaysbeequaltoW.ATheoutersurfaceheattransferarea.Notethatforcabletray,boththetopandbottomareasareincluded.Areaiscalculatedonthebasisofaonefootlengthofraceway.RzInsidethermalresistanceasdefinedabove.Thevalueiscalculatedfromthetestdatawithnowrapinaccordancewiththefollowingformula.TheRzvalue.calculatedisthenusedforthecaseswithfirebarrierinstalled.NotethatthereisnoRgandRtforthiscase.Ri.TshT/q-Rs,WheredT=90'F(Tempdropfromconductorsurfacetoambient)RGapthermalresistanceasdefinedabove.Thevalueiscalculatedfromthetestdataforracewaywithfirebarrierinaccordancewiththefollowingformula.TheRsvaluecalculatedisthenusedforextrapolatingcaseswithadifferentthicknessoffirebarrier.Rg5T/q-(R~+R,+R,),Where1T=90'FRcThermo-Lagthermalresistance.Thevalueiscalculatedinaccordancewiththefollowingequationswhichweredevelopedabove.ConduitTrayRE=Ln(ODT/OD)/2<ksR,TH/kA,k=.1k=.1(Ref.2.7)Form83Rev6/94 CALCULATIONNO.REV~SHEETNQ.R$Surfacethermalresistanceiscalculatedinaccordancewiththefollowingequationswhichweredevelopedabove.NotethatthehTinthisequationisbetweenthesurfaceandambientandtheTvaluesmustbein'R.Theambienttemperatureusedis1044F/564'R.Rs=I/(~27((T$-104)/ODT)+1714X10(.9)((T$+460)564)/(T$104)]ATsSurfacetemperatureofThermo-Lagorbareconduit.Thevalueisdeterminedbyiterationuntilq~qs.Heattransferred-Fortestcases,thetest.dataisused.Forextrapolatedcases,itiscalculatedasfollows:q=dT/(R,+R+R,+R),WherebT=904FqlHeattransferredfromthesurface-Calculateheattransferredfromthesurfaceasfollows:q~dT/RWhere6TEET$-1044FFromcontinuity,theheattransferredfromthesurfaceisthesameasthetotalheattransferred.Inordertosolvethevariouscases,TsisadjustedbyiterationuntilqEEq'.ACFAmpacitycorrectionfactorcalculatedbythefollowingequationwhichwasdevelopedabove.ACFEE(q>/q)Form83,Rev6/94 PSL-BFSM-98-005Revision0Page9of11RACEWAYHEATTRANSFERANDAMPACITYDE-RATING-CONDUITODTHODTARiRgRtRsTs4qq'NININSQFTBTU/HR-FBTU/HR-FBTU/HR-FBTU/HR-FFBTU/HBTU/HACFValuesExtrapolatedfrom1"ConduitTestwl3HourWrapTestUnwrapped1.31501.3150.34433.891TestWrapped1.3151.253.8150.99883.891-1.354Extrapolated1HR1.3151.54.3151.12973.891-1.354Extrapolated3HR1.3153.067.4351.94653.891-1.354'l.31961.69520.56061.89120.50792.75710.3247126.79114.53113.26109.2017.27217.27~18.77518.781.04318.2318.231;02716.0216.020.9635ID*i3ItdI4"6dIt2t.II~HWTestUnwrapped4.504.51.17811.365TestWrapped4.50.6255.751.50531.365Extrapolated1H4.51.57.51.96351.365~EtIhd3RR4.53.D6ID.622.18D31.385Predict3HRTest4.51.2571.83261.365-0.422-0.422-0.422-0.4220.44190.39010.36030.8130.29571.3666'0.2850.70320.3116126.01123.16116.98111.99118.3349.8149.8153.1753.171.03343.8843.880.939'5.5235.520.84445.9845.980.961YatuesExtrapolatedfrom4"ConduitTestwl3HourWrapTestUnwrapped4.504.51.17811.531TestWrapped4.51.2571.83261.531Extrapolated1HR4.5l.57.51.96351.531Extrapolated3HR4.53.0610.622.78031.531-0.459-0.459-0.4590.44650.70320.31360.8130.29751.36660.2259124.32117.52116.271Il.6345.6245.52~43.1043.100.97341.2541.250.95233.7933.790.862 PSL-8FSM-98-005Revision0Page10of11RACEWAYHEATTRANSFERANDAMPACITYDE-RATlNGCABLETRAY/BANKEDCONDVlTWTHARiRgRtRsTsq-q'NINSQFTBTUIHR-FBTUIHR-FBTUIHR-FBTUIHR-FFBTUIHBTU/HACFValuesExtrapolatedTestUnwrappedTestWrappedExtrapolated1HRExtrapolated3HRPredict3HRTestfrom4X24"TrayTestw/.1HourWrap24040.071240.62540.0710.228241.540.0710.228243.0640.0?10.228241.12540.0710.2280.13040.13020.14920.3125.0.15340.63750.15850.23440.15i8l62.24127.22122.06117.03123.95446.78155.67117.7082.2113l.40448.78~155.670.5SO117.700.51382.210.429131400.542ValuesExtrapolatedfrom4X24"TrayTestw/3HourWrapTestUnwrapped24040.082TestWrapped241.125400820155Extrapolated1HR241.540.0820.155Extrapolated3HR24-3.0640.0820.1550.13150.23440.15030.31250.15210.63750.1577159.53125.78123.53117.76422.30422.30~144.88144.880.586128.36128.360.55187.2387.230.454 CALCULATIONNO.HEY~SHEETNO.6.0ResultsThemostconservativeresultsfor1hourand3hourconduitandcabletrayarelistedbelow.Thelessconservativevaluesfromthespreadsheetcanalsobeusedforapplicablefieldconditions.0ItemACF1HRConduit.943HRConduit1HRTray(BankedConduit)3HRTray(BankedConduit).43Notethatthesecorrectionfactorsarecontingent,uponthemaximumthickness,'installationrequirements,andsizelimitsdetailedintheAssumptions/Basis.DiscussionThecalculationspreadsheetprovidednegativevaluesforRforconduit.Anegativevalueforthermalresistancehasnorealphysicalmeaning.Thenegativevalueisaresultofbackcalculatingtheresistancefromtestdata.Asthetotalresistanceismadeupof4components,thenegativevalueissimplyacorrectionforaresistancevaluethatisexcessiveforoneoftheothercomponents.Thenegativevaluedoesnotinterferewiththecalculationbecauseitisalwaysaddedtotheothercomponentstoobtainthetotalresistance.WhenthemethodologywasusedtopredicttheACFforthetested3hourbarriersusingthetestdatafromthe1hourbarriers,theresultswereasfollows:PredictedValueTestValue4"Conduitw/3hourbarrierCableTrayw/3hourbarrier.96.54.97.59Theseresultsdemonstratethatthemethodologyusedtoextrapolatethetestdataprovidesconservativeandreasonablyaccuratevalues.Form83,Rev6/94  


APPROVEDFlREBARRIERSFORTHEblUCLEARl8DVSTRYthermO-hg'30-1FlREBARRlERMATER1ALPROPERTlESPSL-BFSH-98-OOSAttachment1Revision0page1of2ThisbrochurepresentstnemajorpropertiesofTHERMO-LAGinin(eras(fornucleargeneratingp(antapplicatian.Faraddi(iona(datana('resented,consultTSf.RAG(ATIONRESISTANCE-2.12xtoeradstata(40yearintegrateddose-Atterfrradiationnodegradationtntireresistiveproper(lesFIREPROTECTIVEFEATURES-ASTME-84TeslingforTHERMO-LAG330 FlameSpreadRating5-FuelContributedRa(ing-4.-SmokeOevelopedRating15-ASTME84TestingfarTHERMO-LAGPrimer-FlameSpreadRating0-FuelContributedRating SmakeDevelopedRating ASTME.84TeslingfarTHERMO-LAG350-2PTopcoat-FlameSpreadRating FuelContributedRsling SmokeDevelopedRating bnc-hourand~(rce-hourfireendurancetostInaccordancewithASTME-119,and.ANI/MAERPlest"ANI/MAERPS(andardRreEnduranceTestMethodtoOualilyaProtectiveEnvelopeforCfass1EElectricalCircuits".-1/2inchTHERMO-LAGratedanehour-1InchTHERMO-LAGratedthreehourss~.-.ASTME-119hosestreamlestoncfectricaltraysandconduitloroneandthreehourratedTHERMO-LAG(2-1/2minutehosestreamapplicalion]-ASTME-119firelastsforstructuralsteel.hangerstodeterminerequiredTHERMO-LAGthicknessfaroneandthreenourratingAMPACITYOERAT(NCAmpacityderatingtestsperformedInaccordancewi(hIPCEAPublicationNumberP-54-440(SecondEditfan)(lodeterminecablebaseampxci)y)sndNEMAPublicalianNo.WC51-1975.Thelalfawingresultswereobtained(for40percen(loading):One-HourTHERMO-LAGBarriers-Tray-12.5percentdere(fng-Conduit-6.6percentderating'three-HourTHERMO-LAGBarriers-Tray-17percentderating--Conduit-l0.9percentderatingL(ECHANICAL(PHYS(CAL)PROPORTIES-pensitywel-10.$Ibs/galfonpensitydly75~3Ibs/h>pryWeight1/2Inchthickness(one-hourrated)~3.25Ib/ftrpryWeight1Inchlhickness(three-hourrated)~6.5fb/ft(-WaterbasedTanxifastrenalhp5'F)600PSI-Shearstrength-p5'F)-1100PSI-Rexuralstltfness-p5'F)65KSI-Rexurxls(rength-p5'F]-2200PSI-Bandstrength-p5'F)-575PSI-initialModulus~'F)-70KS(-ThermalCanductirity(Linfired.fu(lcured)0.1Btu/hrft.(FSEISMICPROPORTTTHERMO-LAGhasbeenqualifiedbyslaticanalysisforaveryconservativeloading.Avalueot7.5ghorixontal.and6.0gverticalaccefera(ion.combinedbiaxlxllywxsusedforlheanalysis.Thesevaluesboundmos(nucleargeneratingplantseismiccnteri~.
APPROVEDFlREBARRIERSFORTHEblUCLEARl8DVSTRYthermO-hg'30-1FlREBARRlERMATER1ALPROPERTlESPSL-BFSH-98-OOSAttachment1Revision0page1of2ThisbrochurepresentstnemajorpropertiesofTHERMO-LAGinin(eras(fornucleargeneratingp(antapplicatian.Faraddi(iona(datana('resented,consultTSf.RAG(ATIONRESISTANCE-2.12xtoeradstata(40yearintegrateddose-Atterfrradiationnodegradationtntireresistiveproper(lesFIREPROTECTIVEFEATURES-ASTME-84TeslingforTHERMO-LAG330-1-FlameSpreadRating5-FuelContributedRa(ing-4.-SmokeOevelopedRating15-ASTME84TestingfarTHERMO-LAGPrimer-FlameSpreadRating0-FuelContributedRating-0-SmakeDevelopedRating-5-ASTME.84TeslingfarTHERMO-LAG350-2PTopcoat-FlameSpreadRating-5-FuelContributedRsling-0-SmokeDevelopedRating-0-bnc-hourand~(rce-hourfireendurancetostInaccordancewithASTME-119,and.ANI/MAERPlest"ANI/MAERPS(andardRreEnduranceTestMethodtoOualilyaProtectiveEnvelopeforCfass1EElectricalCircuits".-1/2inchTHERMO-LAGratedanehour-1InchTHERMO-LAGratedthreehourss~.-.ASTME-119hosestreamlestoncfectricaltraysandconduitloroneandthreehourratedTHERMO-LAG(2-1/2minutehosestreamapplicalion]-ASTME-119firelastsforstructuralsteel.hangerstodeterminerequiredTHERMO-LAGthicknessfaroneandthreenourratingAMPACITYOERAT(NCAmpacityderatingtestsperformedInaccordancewi(hIPCEAPublicationNumberP-54-440(SecondEditfan)(lodeterminecablebaseampxci)y)sndNEMAPublicalianNo.WC51-1975.Thelalfawingresultswereobtained(for40percen(loading):One-HourTHERMO-LAGBarriers-Tray-12.5percentdere(fng-Conduit-6.6percentderating'three-HourTHERMO-LAGBarriers-Tray-17percentderating--Conduit-l0.9percentderatingL(ECHANICAL(PHYS(CAL)PROPORTIES-pensitywel-10.$Ibs/galfonpensitydly75~3Ibs/h>pryWeight1/2Inchthickness(one-hourrated)~3.25Ib/ftrpryWeight1Inchlhickness(three-hourrated)~6.5fb/ft(-WaterbasedTanxifastrenalhp5'F)600PSI-Shearstrength-p5'F)-1100PSI-Rexuralstltfness-p5'F)65KSI-Rexurxls(rength-p5'F]-2200PSI-Bandstrength-p5'F)-575PSI-initialModulus~'F)-70KS(-ThermalCanductirity(Linfired.fu(lcured)0.1Btu/hrft.(FSEISMICPROPORTTTHERMO-LAGhasbeenqualifiedbyslaticanalysisforaveryconservativeloading.Avalueot7.5ghorixontal.and6.0gverticalaccefera(ion.combinedbiaxlxllywxsusedforlheanalysis.Thesevaluesboundmos(nucleargeneratingplantseismiccnteri~.
os/ao/SSitcDTs:41FAX817Tav1112PSL-BFSH-98-00'ttachmentRevision0Page2of2THERMO-LAG7TOPIREBARRIERSYSTEMp~srmx.~w~~ma~ra.orzRzrZSSprayedDensityHardnessThe~a.'on,ductivityTensileSt."engthCompressiveStrertpterHemra1St:enyoHexuzalStiffnessBondStrertg&.InitialibiodulusShearStrertM62Lhs/Fts.lJBHPvH:P850PsT'25psi25COpsi90ksi700psi8RT75,000psi1%psiASTMD792ScLoreD~iiiC177'"ASTMD638ASTMD695ASTMD790AS'790AS'952ASTiMD638ASTMD732Foraddiuottatinformation,consulttheTHER904AC'77QRuling'Matenaidatashee'HERMALSCIENCE,FIC.2200CaaseItsDriveSt.Louis,Mssouri63026Tele:(314)349-1233Fax:(314)349-12074t~kiIAz~toirMhcrcin4ao"witetot!LcbestofourMowicdge.biowa~yi3orp~orImpitod.R'c2i'/-'  
os/ao/SSitcDTs:41FAX817Tav1112PSL-BFSH-98-00'ttachmentRevision0Page2of2THERMO-LAG7TOPIREBARRIERSYSTEMp~srmx.~w~~ma~ra.orzRzrZSSprayedDensityHardnessThe~a.'on,ductivityTensileSt."engthCompressiveStrertpterHemra1St:enyoHexuzalStiffnessBondStrertg&.InitialibiodulusShearStrertM62Lhs/Fts.lJBHPvH:P850PsT'25psi25COpsi90ksi700psi8RT75,000psi1%psiASTMD792ScLoreD~iiiC177'"ASTMD638ASTMD695ASTMD790AS'790AS'952ASTiMD638ASTMD732Foraddiuottatinformation,consulttheTHER904AC'77QRuling'Matenaidatashee'HERMALSCIENCE,FIC.2200CaaseItsDriveSt.Louis,Mssouri63026Tele:(314)349-1233Fax:(314)349-12074t~kiIAz~toirMhcrcin4ao"witetot!LcbestofourMowicdge.biowa~yi3orp~orImpitod.R'c2i'/-'  


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Revision as of 00:03, 2 May 2018

Rev 0 to Electrical Cable Ampacity Correction Factors for Thermo-Lag Fire Barriers.
ML17309A949
Person / Time
Site: Saint Lucie  NextEra Energy icon.png
Issue date: 06/02/1998
From:
FLORIDA POWER & LIGHT CO.
To:
Shared Package
ML17229A785 List:
References
PSL-BFSM-98-005, PSL-BFSM-98-005-R00, PSL-BFSM-98-5, PSL-BFSM-98-5-R, NUDOCS 9806300527
Download: ML17309A949 (19)


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/fSt.LucieUnits1and2IDocket%os.50-335and50-389II98-175Attachment2Pagei,CalculationNo:Title:Y'VOriginalIssueNo.DescrigtionDateREVISIONSChkdDateApprDate980630052798062bPlPDRADOCK050003$5PPDR(Form82A,Rev6/94

,i tPageiiCalculationNo.Rev.TitleVVPPageSectionRev.PageSectionRev.i11lii1234567891011CoverListofAffectedPgContents1.0Purpose2.0References3.0Methodology4.0AssumptionsBases5.0Calculation6.0Conclusion00000000000000Form82B,Rev6l94 PageiiiCALCULATION%Pi1BER~,REV.CoverSheetListofEffectivePagesTableofContents1.02.03.05.06.0Purpose/ScopeReferencesMethodologyAssumptions/BasesCalculationResultsThermalScienceDataforThermo-Lag330and770Form82C,Rev6/94 CALCULATIONNO.REV~SHEETNO.1.0Purpose/ScopeGL92-08(Ref.2.1)hasrequiredFPLtoreviewtheampacitycorrectionfactors(ACF)usedforracewaywithfirebarriers.TheampacitycorrectionfactorswereuodatedcalculationPTN-BFJM-96-005andwerebasedontestingperformedatOmegaPbyointLaboratories.TheNRCinReference2.2hasexpressedconcernoverthetestingperformedatomegaPointLaboratories;therefore,thiscalculationwilldetermineapplicableampampacitycorrectionfactorsforSt.LuciebasedontestingperformedatUnderwritersLaboratoxies.Thiscalculationwilluseheattxansferrelationshipstoevtrapolatetheresultsfromtestedfirebarrierstothicknesseswhichboundthethicknessoffirebarx'ierusedatSt.LuciePlantUnits1and2.Thiscalculationisintendedtobeaconservativee:<trapolationoftestdatabasedonthelawsofheattransferandnotathoroughheattransfexevaluation.2.0References2.1GL-92-08,"Thermo-Lag330-1FireBarriers"DatedDecember17,1992.2.2SecondRequestforAdditionalInformation-GenericLetter92-08"Thermo-Lag330-1FireBarriers,St.LucieplantUnits1and2andTurkeyPointPlantUnits3and4",(TACNO.M82809),DatedApril23,1998Addx'essedtoT.F.PlunkettandsignedbyFredricJ.Hebdon,Director2.3ASHRAEHandbook,1991Fundamentals2.4NRCSafetyEvaluationAddressingThermo-LagRelatedAmpacityDeratingIssuesforCrystalRiver(TACNO.M91772),DatedNovember14,1997,AddressedtoRoyA.AndersonandSignedbyL.Raghaven,ProjectManager2.5ANSIC80.1-1990,Table2"DimensionsandHeightsofRigidSteelConduits"2.6UnderwritersLaboratories,AmpacityTestInvestigationofRacewayFireBarriersforConduitandCableTraySystems,DatedMay8,1996,FileNC1973,Project95NK1/030(Note:RecordedinPasspoxtasREPORTNC1973)2.7.TSIinc.,Thexmo-Lag330a770ThermalProperties(IncludedasAttachment1)2.8.NEMAPublicationWC3-1980,Rubber-InsulatedMireandCablefortheTransmissionandDistributionofElectricalEnergy.Form83,Rev6/94

'CALCULATXONNO.RES~SHEETNO.3.0MethodologyIETHERMO-lAGCONOUITCABLER(RtRgRsHeattransferwillbecalculatedperfootofracewaylengthinaccordancewiththefollowingrelationship:(TcTa)/(Rf+Q+Rc+Rs)qTcTsRgR~RsRateofheattransferfromracewayTemperatureofconductor(904C/194'P)Ambienttemperature(404C/1044P)ThermalresistanceofallitemswithintheracewayincludingtheracewayitselfThermalresistanceoftheairgapbetweentheracewayandthefirebarriermaterialThermalresistanceofthefirebarriermaterialThermalresistanceatthesurfaceoftheprotectedorunprotectedracewayForm83,Rev6/94 CALCULATIONNO.VREV~SHETNO.(Theheattransferred'fromtheracewayundexsteadystateconditionsisessentiallyequaltotheXRlosseswithintheconductors.Theseheatvaluescanbedteeexminedfromthetestdatabasedonthemeasuredcurrentandsizeofconductorused.T,andT,arefixedtestparameterswithvalueswhicharelistedabove.Thethexmalresistancevalueswillbedeterminedbasedontestdataandphysicalpropertiesasfollows:Rzwillbecalculatedfromthetestdataforracewaywithoutfirebarrier.Rwillbecalculatedfromtestdataforracewaywithafirebarxieroftestedthickness.R,willbecalculatedbasedontheknownthermalconductivity(k)forThermo-Lagmaterial.R,willbebasedonknownphysicalpropertiesandthelawsofconvectionandradiationheattransfer.Afterallofthethermalresistancevalueshavebeenestablished,theheattransferredcanbecalculatedfortheracewaywithadesiredthicknessoffirebarrierbyrecalculatingR,andR,consideringtheadditionalthickness.Sincetheheatisafunctionofthecurrentsquared,theampacitycorrectionfactor(ACF)willbedeterminedbythefollowingrelationship.ACF~l/E,/Z=(q~/q)wherethesubscriptpreferstotheprotectedraceway1/2Asatestofthemethodology,thetestdatafor1hourfirebarrierwillbeusedtopredicttheACFforthe3hourbaxriertest.Theseresultswillbecompaxedtothetestdatat6demonstratetheconservatismofthemethodology.4.0Assumptions/Bases4.aThetotalheatoatloadusedintheextrapolationoftheampacitycorrectionfactorsassociatedwithfirebarrierswillbebasedontheERlossesinthecableswhichwillberepresentativeofthetotalheatload.ThetestingdocumentedinReference2.6includedpairedsetsofconductorswiththesamecurrentrunninginoppositedirections;thexefore,themagneticfieldsassociatedwiththiscurrentwillbeeffectivelycanceled.Generally,inductivelossesareminimalinplantapplication~duetothepracticeofroutingthreephasesofpowercablesinthesameraceway.inductivelossesareaccountedfoxintheamoacityratingcalculationsforthecables.4.2Surfaceemittanceforcable,raceway,andThermo-Lagwi11beassumedtobeequal0.9.Notethatahighemittancevaluewillreducethethermalresistanceatsurfacehavinganoveralleffectofmaximizingtheampacityde-ratingfromadditionalthicknessofThermo-Lag.Foxm83,Rev6/94 CALCULATIONNO.REV~SHEETNO.4.3Heattransferthroughthesidesofcabletraywillbe>assumedtobeerTh'zero.iswillreducetheheattransferequationfortraytoaonedimensionalhttearansfer4"t'sequation.Asthetestedcabletrayisrelativelywide,24"comparedtothIdepth,thistestisexpectedtobeagoodapproximationforallcabletraywidths.4.4ThethicknessoftheThermo-Laginthetestsisassumedtobeattheminimumallowablethicknessspecified.ThisthicknesswillprovideaconservativeACFvalueasitmaximizesthethicknessofThermo-Lagwhichmustbeaddedtoreachthethickness.Conduit1HourThermo-Lag330-13HourThermo-Lag330-1Tray1HourThermo-Lag330-13HourThermo-Lag330-10.625Inches1.25Inches.0.625Inches1.125Inches(Ref.2.6Page6)4.5Thecalculationwillbeperformedassumingthefollowingboundingplantconfigurations:ConduitWith1HourBarrierBoundedby1to4"ConduitMaximumBarrierThickness=1-1/2"ConduitWith3HourBarrierBoundedby1to4"ConduitMaximumBarrierThickness~3-1/16"TrayorBankedConduitWith1HourBarrierBoundedby4"deeptrayand1to4"BankedConduitMaximumBarrierThickness~1-1/2"TrayorBankedConduitWith3HourBarrierBoundedby4"deeptrayand1to4"BankedConduitMaximumBarrierThickness3-1/16"AdjacentlayersoffirebarriersareassumedtobeinstalledwithalayeroftrowelgradematerialcreatingahomogeneousthicknessofThermo-Lagmaterialwithnointerveningairgaps.Anexceptionisthe1hourupgradewhichprovidesasecondlayerofThermo-Lag330applieddirectlyonthebaselayer.Forthiscase,thepotentialforadditionalthermalresistanceatthisinterfacewillbeignored.TheconservativeassumptionsrelativetotheThermo-Lagthicknessappliedwillcompensateforanyadditionalresistanceatthisinterface.4.6Racewayxsmadeofrigidsteel,magneticmaterial,whichistypicalforpowerplantinstallations.4.7Bankedconduitwhichisbankedinasingleplanecanbeassumedtobeequivalentcabletray.Bothconfigurationsinvolveacablemassarrangedinashallowrectangularsection.Bothconfigurationsinvolveanairgapbetweenthecablesandthefirebarriermaterial.Form83,Rev6/94 CALCULATIONNO.REV~SHEETNO.j4.8Thethermalresistancevaluesforallitemswithin'heracewayandfhbetweentheconduit.andthe'hermo-LagmaterialwillbeassumedtoremainconstantasadditionalthicknessofThermo-Lagisinstalled.Consideringthatthegeometryoftheseareasisnotchanged,thisapproximationisreasonable.4.9Thiscalculationisvalidforindoorareaswherethesurroundingairandsurfacetemperaturesarerelativelyequal.Airflowaroundtheracewayisassumedtobethelaminarflowregion.5.0Calculation5.1DeterminationoftestheatloadsTestheatlossinwattsiscalculatedbythefollowingequation:qEEIRNq=HeatPerFootITestCurrentRCableResistancePerFootN~NumberofConductorsRacewaySize(Conductor)TestCurrentResistancePerFootNumberofConductorsHeat/FtHeat/FtWattsBTU/Hr1II(1-4C/010).1"w/3HrBarrier30.531.8~001365.065.5017.2718.784II(12"3C/g6)4"w/1HrBarrier27.228.1.0005483614.6015.5849.8153.174II(12-3C/56)4"w/3HrBarrier26.025.3.0005483613.3445'212.6343'0Tray(96-3C/S6)Trayw/1HrBarrier28.817.0.000548288130914467845.61155.67Tray(96-3C/56)Trayw/3HrBarrier28.016.4.000548288123.73422.3042.45144.871.NormalizedtestcurrentisfromReference2.62.ResistanceperfootisfromRef.2.8Section2.5,Table2-6,Table6-13.MultiplyWattsby3.413toobtainBTU/HrForm83,Rev6/94 CALCULATIONNO.EEV~SHEETEO.5.2DeterminationofThermo;LagRvalues(R,)ForheattransferthroughThermo-LagcylinderR=Ln(Ro/Ri)/2mkL(Ref.2.3,Page2.3)RoEEOutsideRadiusRi~InsideRadiusk=ThermalConductivity~0.1BTU/Hr-FT-'F(Ref.2.7)L=Length~1Ft.(PerFoot)ForheattransferthroughThermo-LagsheetR=L/kA(Ref.2.3,Page2.3)LThicknessk=ThermalConductivity=0.1BTU/Hr-FT-4F(Ref.2.7)A=SurfaceAreaAfulltabulationoftheThermo-LagRvaluesforthevarioussizesisincludedinthespreadsheetbelow.5.3DeterminationofsurfaceRvalues(R,)Thesurfaceresistancewillconsiderfreeconvectionandradiationheattransfer.Forfreeconvectionq,=hAb,Tq,=heattransferredbyconvectionhconvectionheattransfercoefficientForhorizontalcylindersinairh.27(IT/L)'>(Ref,2.3,Page2.12)A=SurfaceAreaL=Characteristiclengthinfeet(diameterorwidth)ForradiationqEsAe(TETa)q,~Heattransferredbyradiations=1.714X10BTU/Hr-Ft2-R,BoltzmannConstantASurfaceareaeSurfaceEmittanceEs.9TAbsoluteTemperature,Rankine(Ref.2.3,Page2.11)(Assumption4.1)q=1.714X10(.9)A(Tg-Tz)Form83,Rev6/94 SCALCULATIONNO.RES~SHEETEQ.\TFortotalheattransfer'redfromthesurfaceq,qc+qrq,=.27(dT/L)'T+1.714X10(.9)A(T~-T~)qs=('27(6T/L)+1,714X10(.9)(T>-Tg)/6T]MThT/q=R=1/t[.27(bT/L)'1.714X10(.9)(T~-Tg)/IT]A)S.4CalculationofACFSTheACFiscalculatedusi.ngaspreadsheet.inaccordancewiththemethodologydescribedabove.Adescriptionofthespreadsheetfollows:OD/WThisisaninputvalueoftheconduitoutsidediameterorcabletraywidthininches.ConduitdiametersareobtainedfromReference2.S.THThisvalueisthethermo-Lagthicknessininches.ODTThisistheoutsidediameteroftheracewaywithanywrapcalculatedfromtheODand.TH.ForcabletrayODisnotcalculatedbecauseitwillalwaysbeequaltoW.ATheoutersurfaceheattransferarea.Notethatforcabletray,boththetopandbottomareasareincluded.Areaiscalculatedonthebasisofaonefootlengthofraceway.RzInsidethermalresistanceasdefinedabove.Thevalueiscalculatedfromthetestdatawithnowrapinaccordancewiththefollowingformula.TheRzvalue.calculatedisthenusedforthecaseswithfirebarrierinstalled.NotethatthereisnoRgandRtforthiscase.Ri.TshT/q-Rs,WheredT=90'F(Tempdropfromconductorsurfacetoambient)RGapthermalresistanceasdefinedabove.Thevalueiscalculatedfromthetestdataforracewaywithfirebarrierinaccordancewiththefollowingformula.TheRsvaluecalculatedisthenusedforextrapolatingcaseswithadifferentthicknessoffirebarrier.Rg5T/q-(R~+R,+R,),Where1T=90'FRcThermo-Lagthermalresistance.Thevalueiscalculatedinaccordancewiththefollowingequationswhichweredevelopedabove.ConduitTrayRE=Ln(ODT/OD)/2<ksR,TH/kA,k=.1k=.1(Ref.2.7)Form83Rev6/94 CALCULATIONNO.REV~SHEETNQ.R$Surfacethermalresistanceiscalculatedinaccordancewiththefollowingequationswhichweredevelopedabove.NotethatthehTinthisequationisbetweenthesurfaceandambientandtheTvaluesmustbein'R.Theambienttemperatureusedis1044F/564'R.Rs=I/(~27((T$-104)/ODT)+1714X10(.9)((T$+460)564)/(T$104)]ATsSurfacetemperatureofThermo-Lagorbareconduit.Thevalueisdeterminedbyiterationuntilq~qs.Heattransferred-Fortestcases,thetest.dataisused.Forextrapolatedcases,itiscalculatedasfollows:q=dT/(R,+R+R,+R),WherebT=904FqlHeattransferredfromthesurface-Calculateheattransferredfromthesurfaceasfollows:q~dT/RWhere6TEET$-1044FFromcontinuity,theheattransferredfromthesurfaceisthesameasthetotalheattransferred.Inordertosolvethevariouscases,TsisadjustedbyiterationuntilqEEq'.ACFAmpacitycorrectionfactorcalculatedbythefollowingequationwhichwasdevelopedabove.ACFEE(q>/q)Form83,Rev6/94 PSL-BFSM-98-005Revision0Page9of11RACEWAYHEATTRANSFERANDAMPACITYDE-RATING-CONDUITODTHODTARiRgRtRsTs4qq'NININSQFTBTU/HR-FBTU/HR-FBTU/HR-FBTU/HR-FFBTU/HBTU/HACFValuesExtrapolatedfrom1"ConduitTestwl3HourWrapTestUnwrapped1.31501.3150.34433.891TestWrapped1.3151.253.8150.99883.891-1.354Extrapolated1HR1.3151.54.3151.12973.891-1.354Extrapolated3HR1.3153.067.4351.94653.891-1.354'l.31961.69520.56061.89120.50792.75710.3247126.79114.53113.26109.2017.27217.27~18.77518.781.04318.2318.231;02716.0216.020.9635ID*i3ItdI4"6dIt2t.II~HWTestUnwrapped4.504.51.17811.365TestWrapped4.50.6255.751.50531.365Extrapolated1H4.51.57.51.96351.365~EtIhd3RR4.53.D6ID.622.18D31.385Predict3HRTest4.51.2571.83261.365-0.422-0.422-0.422-0.4220.44190.39010.36030.8130.29571.3666'0.2850.70320.3116126.01123.16116.98111.99118.3349.8149.8153.1753.171.03343.8843.880.939'5.5235.520.84445.9845.980.961YatuesExtrapolatedfrom4"ConduitTestwl3HourWrapTestUnwrapped4.504.51.17811.531TestWrapped4.51.2571.83261.531Extrapolated1HR4.5l.57.51.96351.531Extrapolated3HR4.53.0610.622.78031.531-0.459-0.459-0.4590.44650.70320.31360.8130.29751.36660.2259124.32117.52116.271Il.6345.6245.52~43.1043.100.97341.2541.250.95233.7933.790.862 PSL-8FSM-98-005Revision0Page10of11RACEWAYHEATTRANSFERANDAMPACITYDE-RATlNGCABLETRAY/BANKEDCONDVlTWTHARiRgRtRsTsq-q'NINSQFTBTUIHR-FBTUIHR-FBTUIHR-FBTUIHR-FFBTUIHBTU/HACFValuesExtrapolatedTestUnwrappedTestWrappedExtrapolated1HRExtrapolated3HRPredict3HRTestfrom4X24"TrayTestw/.1HourWrap24040.071240.62540.0710.228241.540.0710.228243.0640.0?10.228241.12540.0710.2280.13040.13020.14920.3125.0.15340.63750.15850.23440.15i8l62.24127.22122.06117.03123.95446.78155.67117.7082.2113l.40448.78~155.670.5SO117.700.51382.210.429131400.542ValuesExtrapolatedfrom4X24"TrayTestw/3HourWrapTestUnwrapped24040.082TestWrapped241.125400820155Extrapolated1HR241.540.0820.155Extrapolated3HR24-3.0640.0820.1550.13150.23440.15030.31250.15210.63750.1577159.53125.78123.53117.76422.30422.30~144.88144.880.586128.36128.360.55187.2387.230.454 CALCULATIONNO.HEY~SHEETNO.6.0ResultsThemostconservativeresultsfor1hourand3hourconduitandcabletrayarelistedbelow.Thelessconservativevaluesfromthespreadsheetcanalsobeusedforapplicablefieldconditions.0ItemACF1HRConduit.943HRConduit1HRTray(BankedConduit)3HRTray(BankedConduit).43Notethatthesecorrectionfactorsarecontingent,uponthemaximumthickness,'installationrequirements,andsizelimitsdetailedintheAssumptions/Basis.DiscussionThecalculationspreadsheetprovidednegativevaluesforRforconduit.Anegativevalueforthermalresistancehasnorealphysicalmeaning.Thenegativevalueisaresultofbackcalculatingtheresistancefromtestdata.Asthetotalresistanceismadeupof4components,thenegativevalueissimplyacorrectionforaresistancevaluethatisexcessiveforoneoftheothercomponents.Thenegativevaluedoesnotinterferewiththecalculationbecauseitisalwaysaddedtotheothercomponentstoobtainthetotalresistance.WhenthemethodologywasusedtopredicttheACFforthetested3hourbarriersusingthetestdatafromthe1hourbarriers,theresultswereasfollows:PredictedValueTestValue4"Conduitw/3hourbarrierCableTrayw/3hourbarrier.96.54.97.59Theseresultsdemonstratethatthemethodologyusedtoextrapolatethetestdataprovidesconservativeandreasonablyaccuratevalues.Form83,Rev6/94

APPROVEDFlREBARRIERSFORTHEblUCLEARl8DVSTRYthermO-hg'30-1FlREBARRlERMATER1ALPROPERTlESPSL-BFSH-98-OOSAttachment1Revision0page1of2ThisbrochurepresentstnemajorpropertiesofTHERMO-LAGinin(eras(fornucleargeneratingp(antapplicatian.Faraddi(iona(datana('resented,consultTSf.RAG(ATIONRESISTANCE-2.12xtoeradstata(40yearintegrateddose-Atterfrradiationnodegradationtntireresistiveproper(lesFIREPROTECTIVEFEATURES-ASTME-84TeslingforTHERMO-LAG330-1-FlameSpreadRating5-FuelContributedRa(ing-4.-SmokeOevelopedRating15-ASTME84TestingfarTHERMO-LAGPrimer-FlameSpreadRating0-FuelContributedRating-0-SmakeDevelopedRating-5-ASTME.84TeslingfarTHERMO-LAG350-2PTopcoat-FlameSpreadRating-5-FuelContributedRsling-0-SmokeDevelopedRating-0-bnc-hourand~(rce-hourfireendurancetostInaccordancewithASTME-119,and.ANI/MAERPlest"ANI/MAERPS(andardRreEnduranceTestMethodtoOualilyaProtectiveEnvelopeforCfass1EElectricalCircuits".-1/2inchTHERMO-LAGratedanehour-1InchTHERMO-LAGratedthreehourss~.-.ASTME-119hosestreamlestoncfectricaltraysandconduitloroneandthreehourratedTHERMO-LAG(2-1/2minutehosestreamapplicalion]-ASTME-119firelastsforstructuralsteel.hangerstodeterminerequiredTHERMO-LAGthicknessfaroneandthreenourratingAMPACITYOERAT(NCAmpacityderatingtestsperformedInaccordancewi(hIPCEAPublicationNumberP-54-440(SecondEditfan)(lodeterminecablebaseampxci)y)sndNEMAPublicalianNo.WC51-1975.Thelalfawingresultswereobtained(for40percen(loading):One-HourTHERMO-LAGBarriers-Tray-12.5percentdere(fng-Conduit-6.6percentderating'three-HourTHERMO-LAGBarriers-Tray-17percentderating--Conduit-l0.9percentderatingL(ECHANICAL(PHYS(CAL)PROPORTIES-pensitywel-10.$Ibs/galfonpensitydly75~3Ibs/h>pryWeight1/2Inchthickness(one-hourrated)~3.25Ib/ftrpryWeight1Inchlhickness(three-hourrated)~6.5fb/ft(-WaterbasedTanxifastrenalhp5'F)600PSI-Shearstrength-p5'F)-1100PSI-Rexuralstltfness-p5'F)65KSI-Rexurxls(rength-p5'F]-2200PSI-Bandstrength-p5'F)-575PSI-initialModulus~'F)-70KS(-ThermalCanductirity(Linfired.fu(lcured)0.1Btu/hrft.(FSEISMICPROPORTTTHERMO-LAGhasbeenqualifiedbyslaticanalysisforaveryconservativeloading.Avalueot7.5ghorixontal.and6.0gverticalaccefera(ion.combinedbiaxlxllywxsusedforlheanalysis.Thesevaluesboundmos(nucleargeneratingplantseismiccnteri~.

os/ao/SSitcDTs:41FAX817Tav1112PSL-BFSH-98-00'ttachmentRevision0Page2of2THERMO-LAG7TOPIREBARRIERSYSTEMp~srmx.~w~~ma~ra.orzRzrZSSprayedDensityHardnessThe~a.'on,ductivityTensileSt."engthCompressiveStrertpterHemra1St:enyoHexuzalStiffnessBondStrertg&.InitialibiodulusShearStrertM62Lhs/Fts.lJBHPvH:P850PsT'25psi25COpsi90ksi700psi8RT75,000psi1%psiASTMD792ScLoreD~iiiC177'"ASTMD638ASTMD695ASTMD790AS'790AS'952ASTiMD638ASTMD732Foraddiuottatinformation,consulttheTHER904AC'77QRuling'Matenaidatashee'HERMALSCIENCE,FIC.2200CaaseItsDriveSt.Louis,Mssouri63026Tele:(314)349-1233Fax:(314)349-12074t~kiIAz~toirMhcrcin4ao"witetot!LcbestofourMowicdge.biowa~yi3orp~orImpitod.R'c2i'/-'