Electromagnetic Field Coupling to Transmission Lines InsideRectangular Resonators 内部传输线的电磁场耦合 矩形谐振器

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1、InteractionNotesNote62330June2011ElectromagneticFieldCouplingtoTransmissionLinesInsideRectangularResonatorsS.Tkachenko*,J.Nitsch*,andR.Rambousky***Otto-von-Guericke-University-Magdeburg**BundeswehrResearchInstituteforProtectiveTechnologiesandNBCProtectionAbstractInthispaperthecurrent

2、insideacavity,whichisinducedbylumpedanddistributedsources,iscalculated.Thecurrentisobtainedanalytically(Green’sfunctionmethod)andnumerically(MoM–andMLFMM–method).Along,parallelwireischosenthatconnectstwooppositewallsofarectangularresonator.Sincetheconductorconservesthetranslationalsy

3、mmetryoftheresonatorinonedirection(z-direction),thecurrentandthetotalexcitingelectricalfieldcanbederivedfromFourierseriesformulations.Theobtainedresultsclearlyshowtheinfluenceoftheresonatorontheinducedcurrent.Resonancepeaksoftheresonator,whichdonotariseinusualEMClaboratorytests,occur

4、inthecurrentspectra.Thenumericalresultsagreeverywellwiththeanalyticalones,however,theresultsareobtainedmuchfasterusingtheanalyticalformulae-byafactorofonethousand._________________________________________________________________________ThisworkwassponsoredbytheGermanResearchFoundatio

5、n(DFG)underthecontractnumber:NI633/5-11ContentsPage1.Introduction32.Electromagneticfieldcouplingtoashort-circuitedthinwiremaintainingthesymmetryoftherectangularresonator42.1ResonatorGreen’sfunctions52.2Calculationofthecurrent72.3DeterminationofthefunctionS(,)83.Lumpedanddistribu

6、tedsources(loads)104.Transmissionlineapproximation135.Comparisonofanalyticalandnumericalresults156.Conclusion18References19AppendixI21AppendixII25AppendixIII2621.IntroductionTheperformanceofimmunitytestsaccordingtocurrentEMCstandardsondevicesunderlaboratoryconditionsguaranteesacertai

7、nbasicprotectionforthem.However,ultimately,thesedevicesareused/installedinenvironmentswhichdonotcorrespondtothetestenvironmentinthelaboratory.Forexample,theymaybehousedinshieldedroomsand/orbeconnectedinlargeroverallsystemswithotherelectricalandelectroniccomponents.Insuchcases,complia

8、nceofEMCstan