第11讲-电磁相容预测数学方法简介

11.11.11.AdvancedEMC+[e-mail]11.11.11.‹‹I/O‹EMC‹‹‹‹11.11.11.¾(034631,4622,4628)¾(034655,54,035301)¾(039326,035284,034625,039246,4646)¾(034664)¾(035301)¾034648)¾(035314,034633,036315)¾¾034636,035290,034626,4621)¾(P0313085,¾034619¾(036117,4609)¾035553,J32228,27,035313,4635,4624¾CCVTCTEMI(035280,034627)¾(034620,034623),¾034632,P0325026)11.11.11.11.l11.211.311.411.511.6EMC/EMI11.11.11.20012002111411.11.11.1.2.3.4.5.5.1.:2.:1.1.2.3.4.5.6.7.1.2.3.1.2.3.4.1.2.3.11.11.11.EMI-NoisecausedbyLSIPowerCircuitChipPackageVDDDirectRadiationSignal-PortNoisePower-LineConductingNoiseElectromagneticRadiationGNDCLKInternalCircuitPCB11.11.11.¾¾9999911.11.11.¾999911.11.11.¾9¾9“——”11.11.11.¾9911.11.11.),,,(),,(),,,(rftTftGrftPθθθ⋅=),,(θftG),,,(rftTθ11.11.11.),,(θftSM0M0∑=−=niiftStftPM1),,(),,,(θθM11.11.11.¾¾10dBl11.11.11.11.11.11.¾999911.11.11.¾99911.11.11.¾¾¾)()()(),,()(202zyxzyxkδδδφ−=+∇rrrkπ4e)(0j=φ∫∫∫∞∞−∞−∞−∞∞++=zyxkkkzyxkkkkkkzyxzyxddde),,(~)π2(1),,()jjj(3φφ11.11.11.¾¾¾∫∫∫∫∫∫∞∞−∞−∞−∞∞++∞∞−∞−∞−∞∞++−=−−−zyxkkkzyxkkkzyxzyxkkkkkkkkkkkkkzyxzyxdddeddde),,(~][)jjj()jjj(22220φδ),,(zyx222201),,(~zyxzyxkkkkkkk−−−−=φ∫∫∫∞∞−∞−∞−∞∞−−−++=zyxzyxzyxkkkkkkkkkkzyxdddjjj)π2(1),,(222203φ11.11.11.2220yxkkk−−−2220yxkkk−−¾¾¾¾∫∫∫∞∞−∞−∞−∞∞−−−++=zyxzyxzyxkkkkkkkkkkzyxdddjjj)π2(1),,(222203φ2220'yxzkkkk−−=000j'kkk′′+=11.11.11.¾z¾∫∫∞∞−∞∞−++=yxzzkykxkkkkzyxzyxdde)π2(21),,('||'jjj2φ∫∫∞∞−∞∞−++=yxzzkykxkrkkkkrzyxddeπ21e'||'jjjj0(Wely)()11.11.11.¾(Sommerfeld)ρkρz∫∞∞−=ρρρρkkHkkrzkzrkz)d(e2je(1)0||jj0Hankelρkρk11.11.11.HE11,µε22,µε¾,¾zkTEzkyzzeReze11j0j01ee)(+=−:TEzkTEyzeTze2j02e)(−=22ziizkkk−=iiikεµω22=11.11.11.HE11,µε22,µε¾0=zTETETR=+1()TEzTEzTkRk22111µµ=−zzzTEzzzzTEkkkTkkkkR211212211221122µµµµµµµ+=+−=(a)11.11.11.¾TM¾(a)1“”zzzTMzzzzTMkkkTkkkkR211212211221122,εεεεεεε+=+−=21kk21kkkzzk2zk1TERTMR11.11.11.¾µεz11,µε22,µε33,µε11,−−NNµεNNµε,11.11.11.5.3¾1¾2¾3HE11,µε22,µε33,µε[]zkdkzkyzzzRAze1111jj212j11e~e)(+−+=:[]zkdkzkyzzzRAze2222jj223j22ee)(+−+=zkyzAze3j33e)(−=11.11.11.¾HE11,µε22,µε33,µε)(2j2321)-j(1122122121e1eddkdkkzzzRRATA−−=)(2j2321)(2j2123121212122122e1e~ddkddkzzRRTRTRR−−−+=L+++=−−)(4j2122312)(2j2123121212122122ee~ddkddkzzTRTTRTRR11.11.11.¾Taylor¾Agrawal‹Rusck‹Chowdhuri-Gross¾Rachidi11.11.11.-Taylor¾¾Maxwell+=+=scaincscaincHHHEEEslsldµjd0∫∫−=HEω11.11.11.-Taylor¾)()('j)('1xVxILdxxdVs=+ω)()('j)('xIxVCdxxdIsi=+ωxvs∆1'xis∆1'Z1kψiyHiHiEx∆Z2izExz0Ldy∫−=diysdzzxHxV00'1),(µj)(ω∫−=dizsdzzxECxI0'1),('j)(ω11.11.11.2-Taylor¾TEM)()(')('1xVxIZdxxdVs=+)()(')('xIxVYdxxdIsi=+11.11.11.-Taylor¾Tayler),(),('),('),('1txvttxiLtxiRxtxvs=∂∂++∂∂),(),('),('),('1txittxvCtxvGxtxis=∂∂++∂∂∫∫∂∂−=∂∂−=hzishyisdztzxEtCtxidztzxBttxv0101),,(),('),,(),('),('1txvs),('1txisR'L'G'C'),(txv),(tdxxv+),(txi),(tdxxi+G'C'Laplace11.11.11.-Taylor¾Tayler),('1txvs),('1txisR'L'G'C'),(txv),(tdxxv+),(txi),(tdxxi+G'C'Taylor)))11.11.11.¾¾11.11.11.11.11.11.11.11.11.11.11.11.123GTD(GeometricalTheoryofDiffraction)2011.11.11.9111.11.11.()CompuMag,CEFCetc.11.11.11.¾¾¾¾11.11.11.¾¾¾11.11.11.11.11.11.FiniteDifferenceTimeDomainMethod¾(FDTD)Maxwellt∂∂−=×∇HEµt∂∂+=×∇EEHεσ11.11.11.t∂∂−=×∇HEµt∂∂+=×∇EEHεσ[][])()(2)()()()(104321ttHttHttEtEtEtEAxoxoyzyz∆−−∆+∆−=−−+µ11.11.11.EntireVolumeisMeshedAbsorbingboundariesrequiredforopenproblems,butFDTDabsorbingboundariesgenerallyworkbetterthanFEMabsorbingboundariesNoMatrix,Time-SteppedSolutionSolutiontimeproportionaltonumberofcellsSymmetries/specialstructurescanbesolvedmoreefficiently11.11.11.•complexsourcegeometries•dielectrics•thinmetalsurfaces•tightlycoupled,electricallysmallconductors•thin,electricallylongorresonantwires•unboundedgeometriesEasyDifficult11.11.11.¾¾¾¾11.11.11.11.11.11.¾¾¾¾11.11.11.11.11.11.•complexsourcegeometries•dielectrics•thinmetalsurfaces•tightlycoupled,electricallysmallconductors•thin,electricallylongorresonantwires•unboundedgeometriesEasyDifficult11.11.11.¾EMC/EMI¾parameterextraction:¾EMC¾fieldproblem:11.11.11.¾EMC/EMI¾:¾¾¾¾11.11.11.¾¾¾¾¾¾11.11.11.PowerNetworkExtractionI/OCoreVDDVSSVDDVSS¾ExtractfromLEF/DEFandCellRCLibrary¾ExtractcoreandI/Oseparately11.11.11.CorePowerNetworkModelPowerRingGridLineSimplifiedPowerWirePowerWireVDDVSS¾Dividecorepartbygrids‹simplifypowerwires‹lumpcapacitorsinsidearea11.11.11.I/OPowerNetworkModelPADPADI/OCellPowerRingI/OCellPinforconnectiontoPowerRingI/OCellRCNetworkExtractionPowerRingResistanceNetworkExtractionConnectionofI/OCellRCNetworkCellRCLibrary11.11.11.CapacitanceModel(cont.)AZ1VDDVSSAZVDDVSSAVDDVSSInputPinCapacitanceCellCapacitanceCellCapacitance,InputPinCapacitance¾Extractwiretowirecapacitance,wiretosubstratecapacitance,gatecapacitanceanddiffusioncapacitance¾AssumthatL=50%andH=50%fornodesinsidecellCellRCLibrary11.11.11.AZ1VDDVSSAZVDDVSSAVDDVSSInputPinCapacitanceCellCapacitanceCellCapacitance,InputPinCapacitance¾Extractwiretowirecapacitance,wiretosubstratecapacitance,gatecapacitanceanddiffusioncapacitance¾AssumthatL=50%andH=50%fornodesinsidecellCellRCLibrary11.11.11.¾ANsoft¾ANSYS¾EMCoS¾Zeland11.11.11.//¾HFSS‹‹Spicelink‹EMIEMC‹RF11.11.11.¾SIwave‹‹‹‹SZY‹SpiceSpiceAnsoft//11.11.11.//¾TPA‹RLC