Characteristics of Peltier Current Lead System for ACmode

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1910IEEETRANSACTIONSONAPPLIEDSUPERCONDUCTIVITY,VOL.13,NO.2,JUNE2003CharacteristicsofPeltierCurrentLeadSystemforAlternatingCurrentMode

T.Yamaguchi,H.Okumura,K.Nakamura,andS.Yamaguchi

Abstract—AfterthePeltiercurrentlead(PCL)wasproposedtoreduceheatleakageintoalow-temperaturesystem,numericalcalculationsandexperimentalstudieswereperformed.However,thesestudiesweredoneforthedirectcurrent(DC)modebecausetheapplicationsofthesuperconductingsystemaremainlyusedinDCmode.Ontheotherhand,sincecommercialelectricpowerismainlyusedinthealternatingcurrent(AC)mode,thefuturestudiesforsuperconductingapplicationshouldmovetowardACmode.Therefore,thestudiesofPCLintheACmodearenecessary.ThesubjectstostudyinthealternatingcurrentPCL(AC-PCL)areswitchingdevices,transportationphenomenainthermoelectricsemiconductorinACmode,andthermaltransportationofcurrentleadintheACoperation.WestudytheAC-PCLnumerically.

IndexTerms—Alternatingcurrent,currentripple,effectivevalue,heatleak,Peltiercurrentlead(PCL),thermoelectricelement(TE).

I.INTRODUCTION

SUPERCONDUCTING/CRYOGENICsystemsareapplied

inmanyfieldsatthepresenttime,i.e.,energystorage,elec-tricpowercable,nuclearfusionreactor,etc.Insuchsystems,theheatleakthroughthecurrentleadisacrucialissue.Inthecryogenicsystem,thelowtemperaturepartofthesystemiscon-nectedelectricallywiththepowersourceattheroomtempera-turesideviathecurrentlead.Thecurrentleadmaterialisusuallycopper.Intheconnectionofthelowtemperaturesideandtheroomtemperaturesides,alargeamountofheatflowsthroughthecurrentleadbecauseofthelargedifferenceofthetemper-aturebetweenbothsidesandthehighthermalconductivityofthecopper.Therefore,reductionoftheheatleakisanimportantproblem.Asamethodofthereductionoftheheatleak,Peltiercurrentlead(PCL)wasproposedbyYamaguchi[1].ThePCLconsistsofinsertingthethermoelectricmaterial(TE),suchasBismuthTelluride(BiTe)intotheroomtemperaturesideofthecurrentlead.ThefirstrolloftheTEistheinsulatorduetothelowthermalconductivityoftheTE.Forexample,thethermalcon-ductivityofBiTeisabout1/200timesofthatofthecopper.Next,whenthecurrentispassed,theTEactsastheheatpumpbe-causeofitsPeltiereffect.ThisisthemechanismofthePCLforthereductionoftheheatleak.ThePCLhasbeenstudiedexperi-

ManuscriptreceivedAugust6,2002.ThisworkwassupportedinpartbyagrantoftheAcademicFrontierPromotionProjectfromtheMinistryofEduca-tionCulture,Sports,ScienceandTechnologyinJapan.T.Yamaguchi,K.Nakamura,andS.YamaguchiarewithChubuUni-versity,Matsumoto-cho1200,Kasugai,Aichi,487-8501,Japan(e-mail:tyama@isc.chubu.ac.jp).H.OkumuraiswithMatsusakaUniversity,Kubo-cho1846,Matsusaka,Mie,515-8511,Japan(e-mail:okumura@matsusaka-u.ac.jp).DigitalObjectIdentifier10.1109/TASC.2003.812944

mentallyandnumerically,andthereductionoftheheatleakandthedesignoptimizationwerereported[2]–[4].However,thesestudiesweremainlythestudiesatthedirectcurrent(DC)mode.Recently,manystudiesofsuperconductingapplicationtothealternatingcurrent(AC)passhavebeenreported,andmanysu-perconductingsystemsattheACmodearebeingdeveloped.Forthereductionoftheheatleakinsuchsystems,thePCLmustbestudiedfortheACmode.However,passingtheACthroughthePCLfortheDCmodecausestheincreaseoftheheatleakforthefollowingreasons.1)PeltiercoolingeffectoftheTEisoppositebetweenthepositiveandnegativecurrentpassing,hencethePeltiercoolingvanishesthroughawholecycleofthecurrent.2)ResistivityofTEis10YAMAGUCHIetal.:CHARACTERISTICSOFPELTIERCURRENTLEADSYSTEMFORALTERNATINGCURRENTMODE1911Therefore,calculationatACmodeisimpossiblebysimpleuseoftheSato’sprogrambecausethecurrentvarieswithtime.However,inacertaincondition,anassumptionmaybemade.Wewilldescribetheassumption.Whenthecurrentvariesintimeperiodically,thecurrentisgivenby

to

describesthetimeaverageofthequantity.Forex-ample,timeaverageofthetemperature

andto

toto1912IEEETRANSACTIONSONAPPLIEDSUPERCONDUCTIVITY,VOL.13,NO.2,JUNE2003

Fig.1.TemperatureprofilesoftheCCLandthePCLattheDC,theHWRC,andtheFWRCmode.x

/Aisnormalizedcoordinateinthecurrentlead.

ThewaveformsoftheHWRCandtheFWRCare

(13)andtheforFWRC.Fortheevaluationofthecharacteristicsateachcurrentmode,

.ThesteepgradientofthetemperatureattherightsideintheprofilesoftheDC,theHWRC,andtheFWRCmodeareduetotheeffectoftheTE.Fig.1showsnotonlytheeffectofTEattheDCmode,butalsotheeffectsoftheTEattheHWRCmodeandtheFWRCmode.Inthiswork,thecharacteristicsofthecurrentleadswereeval-uatedbyoptimizingtheshapesofthecopperleadpartandtheTEpart.Inthedesignofthecryogenicsystem,arequiredvalueofthecurrentwasdecidedforflowingthesystem.Thenthepropershapeofthecurrentleadwasdecided.Oneoftheimpor-tantissuesofthedecisionoftheshapefortheeffectivereductionoftheheatleakistheoptimizationoftheshapetominimizingoftheheatleak.Therefore,thecalculationforseekingoftheoptimumshapewasperformedforeachcurrentmode.