Resistive and Inductive SIcin Effect in RectangularConductors

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1、W.T.WeeksL.L.WuM.F.McAllisterA.SinghResistiveandInductiveSIcinEffectinRectangularConductorsAmodelbasedonnetworktheoryispresentedforcalculatingthefrequency-dependentresistanceandinductanceperunitlengthmatricesfortransmissionlinesystemsconsistingofconductorswithrectang

2、ularcrosssections.Thecalculatedresultsarecomparedwithactualmeasurements.Excellentagreementisobtainedoverawiderangeoffrequencies,includingthemid-rangewhereneitherdcvaluesnorhigh-frequencylimitvaluesapply.IntroductionModemtechnologyhasshownarelentlesstrendtowardsjustin

3、sidethesurfaceoftheconductor.Thedetermina-fastercircuits,shorterrisetimes,andsmallerpulsetionofthecurrentdensityasafunctionoffrequencyiswidths.Simultaneously,thegeometricdimensionsofthemajorproblemindevelopingatheoryofskineffect.moderncircuitpackageshavebeenshrinking

4、.Itisfairlytypicalthatthewidthsandthicknessesofintercircuitwir-Analyticalmethods,evenapproximateones,arequiteingcloselyapproximatetheskindepthsfornon-negligiblelimited.Anexcellentsurveyofthestateofthearthasfrequencycomponentsinthepulsestobetransmitted.beengivenbyCasi

5、mirandUbbink[1].Numericalmeth-Thisgreatlycomplicatestheelectricalanalysisofpack-odstendtobemoreflexible,permittinganalysisofsys-ages.Forthefrequencyrangeinquestion,theactualwir-temsofmorethanoneconductorandofconductorshav-ingresistancemaybemuchhigherthanthedcresistan

6、ce.ingawidevarietyofcrosssections.Silvester[2]hasde-Alternatively,thesignificantfrequenciesmaybetoolowscribedamethodinwhichthecurrentdensityisobtainedtousethetraditionalhigh-frequencyapproximations,asaneigenfunctionexpansion,whereeacheigenfunctionwhichpredictaskinres

7、istanceandinductancepropor-representsanindependentcurrentdensitymodewhichtionaltothesquarerootoffrequency.Theaccuratecal-mustbedeterminednumerically.Silvesterobtainedex-culationofresistanceandinductancethroughthisrela-cellentagreementwithmeasurementsoftheresistanceof

8、tivelyunexploredmid-rangeoffrequenciesisthesubjectarectangularbar.PopovicandPopovi£[3]andPopovicofthispaper.Thefrequency-dependenti