不同测试技术下超级电容器比电容值的计算

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—。米娟1,2,李文翠1(1.1160242.300384)。。CapacitancecalculationofsupercapacitorsbasedondifferenttesttechnologiesMIJuan1,2,LIWen-Cui1(1.StateKeyLaboratoryofFineChemicals,SchoolofChemicalEngineering,DalianUniversityofTechnology,DalianLiaoning116024,China;2.TianjinInstituteofPowerSources,Tianjin300384,China)、、、[1]。、。。[2-3]。()1V。C(F)(mF)(mF)。、(Q)(U)C=Q/U(I)Q=ItC=I/(dU/dt)。I(dU/dt)。、。、。。。。[4]。。、[5-8],,,。。[9]dQ=Idt(1)C=Q/U(2)I=dQ/dt=CdU/dt(3)IAdQCdtsdUV。。(3)(I)(C)。。(4)mgdU/dtV/s。(4)1[1]。。。。。(5)[10-11]。(5)mguV/sV1V2VIA。()()。(5)。Q(2)[12](6)Q()CmgDEV。。、、、/。。/[13-14]。、。(7)[1,15-16](7)IADtsDUVmg。(5)(7)。(5)d/dICmUt-?150750-75-1500.00.51.01.52.02.53.0/(Fg)V/V1(/)d()11(/)dd()()CQVVmVVIVIVmVVmVV-?-??????????-??dIV?QCmE-?ItCmU?????dU/dt。(7)k=dU/dt。/。k=dU/dt(7)。。(7)。2[17]IR。。(7)20%80%DU'DU'(7)DU。。。[18]。Yushin[19]、。(8)fHzZImZReWmg。。。。。。。(7)。、、。。。。。。[20](3)C(9)01002003004001.51.00.50.0-0.5-1.0-1.5Vvs/V(.Ref.)t/s-?=2pZCfZZm???111=+CCC(+)()?C1=C2=C(9)(10)(10)(11)m。(11)(Cunit)(Csingle)4[21-22]。()()。Yushin[19](IAdV/dtV/smg)。Puziy[22]Cspec-cell=I·Δt/ΔV(IA/gΔtsΔVV)。mmm。(F/g)[23]。、。1mg[24-25]。900F/g[26](300~400F/g)。Gogotsi。30%。20Wh/kg5Wh/kg(100~200mm10mg/cm2)[23]。(1cm-2)410mg/cm210mg/cm2[27]。1mg/cm210mg/cm2。5~10mg/cm2(1~2mg/cm2)。。、(F/cm3)(F/m2)。。、。。1=2CC11===244CCCCmm2=(d/d)ICmVt35030025020015010050403020100MC-KIT-6ACC/(Fg)m/mg。。()、(、)。[1]SIMONP,GOGOTSIY.Materialsforelectrochemicalcapacitors[J].NatMater,2008(7):845-854.[2]CHMIOLAJ,YUSHING,GOGOTSIY,etal.Anomalousincreaseincarboncapacitanceatporesizeslessthan1nanometer[J].Sci-ence,2006,313:1760-1763.[3]HUANGJS,SUMPTERBG,MEUNIERV.Theoreticalmodelfornanoporouscarbonsupercapacitors[J].AngewChemIntEd,2008,47:520-524.[4].[M].1995:82-88.[5]FANJ,WANGT,YUCH,etal.Ordered,nanostructuredtin-basedoxides/carboncompositeasthenegative-electrodematerialforlithi-um-ionbatteries[J].AdvMater,2004,16:1432-1436.[6]DONGXP,SHENWH,GUJL,etal.MnO2-embedded-in-meso-porous-carbon-wallstructureforuseaselectrochemicalcapacitors[J].JPhysChemB,2006,110:6015-6019.[7]WANGYG,YUL,XIAYY.Electrochemicalcapacitanceperfor-manceofhybridsupercapacitorsbasedonNi(OH)2/carbonnanotubecompositesandactivatedcarbon[J].JElectrochemSoc,2006,153:A743-A748.[8]KIMYT,OHSHIMAK,HIGASHIMINEK.Finesizecontrolofplatinumoncarbonnanotubes:fromsingleatomstoclusters[J].AngewChemIntEd,2006,45:407-411.[9].[M].201085-88.[10]FANZJ,YANJ,ZHILJ,etal.Athree-dimensionalcarbonnano-tube/graphenesandwichanditsapplicationaselectrodeinsuperca-pacitors[J].AdvMater,2010,22:3723-3728.[11]BAOLH,ZANGJF,LIXD.FlexibleZn2SnO4/MnO2core/shellnanocable-carbonmicrofiberhybridcompositesforhigh-perfor-mancesupercapacitorelectrodes[J].NanoLett,2011,11:1215-1220.[12]ZHANGL,HOLTCMB,LUBEREJ,etal.Highrateelectro-chemicalcapacitorsfromthree-dimensionalarraysofvanadiumni-tridefunctionalizedcarbonnanotubes[J].JPhysChemC,2011,115:24381-24393.[13]CONWAYBE.ElectrochemicalSupercapacitors:Scientificfunda-mentalsandtechnologicalapplications[M].NewYork:KluwerAcademicPlenumPublishers,1999:552.[14]OKAJIMAK,IKEDAA,KAMOSHITAK,etal.Highrateperfor-manceofhighlydispersedC60onactivatedcarboncapacitor[J].ElectrochimActa,2005,51:972-977.[15]BROUSSET,TOUPINM,B魪LANGERD.Ahybridactivatedcarbon-manganesedioxidecapacitorusingamildaqueouselec-trolyte[J].JElectrochemSoc,2004,151:A614-A622.[16]ZHAOL,FANLZ,ZHOUMQ,etal.Nitrogen-containinghy-drothermalcarbonswithsuperiorperformanceinsupercapacitors[J].AdvMater,2010,22:5202-5206.[17]CHENZ,WENJ,YANCZ,etal.High-performancesupercapaci-torsbasedonhierarchicallyporousgraphiteparticles[J].AdvEner-gyMater,2011,1:551-556.[18].[M].,2010:59-65.[19]WEIL,SEVILLAM,FUERTESAB,etal.Hydrothermalcar-bonizationofabundantrenewablenaturalorganicchemicalsforhigh-performancesupercapacitorelectrodes[J].AdvEnergyMater,2011,1:356-361.[20]FRACKOWIAKE,B魪GUINF.Carbonmaterialsfortheelectro-chemicalstorageofenergyincapacitors[J].Carbon,2001,39:937-950.[21]QUDY,SHIH.Studiesofactivatedcarbonsusedindouble-layercapacitors[J].JPowerSources,1998,74:99-107.[22]HULICOVA-JURCAKOVAD,PUZIYAM,PODDUBNAYAOI,etal.Highlystableperformanceofsupercapacitorsfromphospho-rus-enrichedcarbons[J].JAmChemSoc,2009,131:5026-5027.[23]GOGOTSIY,SIMONP.Trueperformancemetricsinelectroche-micalenergystorage[J].Science,2011,334:917-918.[24]ZHANGLL,ZHAOSY,TIANXN,etal.Layeredgrapheneoxidenanostructureswithsandwichedconductingpolymersassuperca-pacitorelectrodes[J].Langmuir,2010,26(22):17624-17628.[25]XIEK,QINXT,WANGXZ,etal.Carbonnanocagesassuperca-pacitorelectrodematerials[J].AdvMater,2012,24:347-352.[26]ROLD魣NS,BLANCOC,GRANDAM,etal.Towardsafurthergenerationofhigh-energycarbon-basedcapacitorsbyusingredox-activeelectrolytes[J].AngewChemIntEd,2011,50:1699-1701.[27]LIWC,NONGGZ,LUAH,etal.Synthesisofnanocastorderedmesoporouscarbonsandtheirapplicationaselectrodematerialsforsupercapacitor[J].JPorousMater,2011,18:23-30.HydrogenEnergy,2010,35(9):4270-4275.[21]MUHAMMEDAS,MUCHTARA,BAKARSA,etal.Influenceofsinteringtemperatureonthepowerdensityofsamarium-doped-ceriacarbonateelectrolyteco

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