Tensorial Analysis of Networks (TAN) Modelling for PCB Signal Integrity and EMC Analysis (Materials, Circuits and Devices)

400 Pages·2020·26.13 MB·English

by  Blaise Ravelo (editor), Zhifei Xu (editor)

IETMATERIALS,CIRCUITSANDDEVICESSERIES72
Tensorial Analysis of Networks
(TAN) Modelling for PCB Signal
Integrity and EMC Analysis
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Tensorial Analysis of Networks
(TAN) Modelling for PCB Signal
Integrity and EMC Analysis
Edited by
Blaise Ravelo and Zhifei Xu
TheInstitutionofEngineeringandTechnology
PublishedbyTheInstitutionofEngineeringandTechnology,London,UnitedKingdom
TheInstitutionofEngineeringandTechnologyisregisteredasaCharityinEngland&Wales
(no.211014)andScotland(no.SC038698).
©TheInstitutionofEngineeringandTechnology2020
Firstpublished2020
ThispublicationiscopyrightundertheBerneConventionandtheUniversalCopyright
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Contents
Abouttheeditors xv
Foreword xvii
1 Generalintroduction 1
BlaiseRavelo,OlivierMaurice,andZhifeiXu
1.1 Preliminaryintroduction 1
1.2 Chapter2:BasicknowledgetopracticeTANforPCBSI/PI/EMC
investigation 2
1.3 Chapter3:PCBprimitivecomponentsanalysiswithTAN 2
1.4 Chapter4:AnalyticalcalculationofPCBtraceZ/Y/T/S matrices
withTANapproach 3
1.5 Chapter5:FastS-parameterKron–Branin’smodellingof
rectangularwaveguide(RWG)structureviamesh
impedancereduction 3
1.6 Chapter6:TimedomainTANmodellingofPCBlumpedsystem
withKron’smethod 4
1.7 Chapter 7: Direct time-domain analysis with TAN method for
distributedPCBmodelling 4
1.8 Chapter8:CouplingbetweenEMfieldandmultilayerPCBwith
MKME 5
1.9 Chapter9:Conductedemissions(CEs)EMCTANmodelling 5
1.10 Chapter10:PCB-conductedsusceptibility(CS)EMC
TANmodelling 6
1.11 Chapter11:PCB-radiatedsusceptibility(RS)EMC
TANmodelling 7
1.12 Chapter 12: TAN model of loop probe coupling onto shielded
coaxialshortcable 7
1.13 Chapter 13: Nonlinear behaviour conducted EMC model of an
ADC-basedmixedPCBunderradiofrequencyinterference(RFI) 8
1.14 Chapter14:Far-fieldpredictioncombiningsimulationswith
near-fieldmeasurementsforEMIassessmentofPCBs 8
1.15 Chapter15: Elementofinformationfornumericalmodellingon
PCB 9
1.16 Chapter16:Generalconclusion 9
viii TANmodellingforPCBsignalintegrityandEMCanalysis
2 BasicknowledgetopracticeTANforPCBSI/PI/EMC
investigation 11
OlivierMaurice,ZhifeiXu,YangLiu,andBlaiseRavelo
2.1 TANprinciples 11
2.2 Electronicworldandelectronicscaling 14
2.2.1 Propagation 15
2.2.2 Linesandmicrostripsmodelling 18
2.2.3 Someparticularapplications 19
2.2.4 Lossypropagationmodel 21
2.2.5 Asymptoticbehaviourwithoutpropagation 24
2.2.6 Fieldcouplingmodelling 27
2.2.7 Componentsmodelling 46
References 54
3 PCBprimitivecomponentsanalysiswithTAN 55
ZhifeiXu,BlaiseRavelo,YangLiu,andOlivierMaurice
3.1 TANoperatorsforelectricalapplication 55
3.1.1 Covariantparameters:voltagetensors 55
3.1.2 Contravariantparameters:currenttensors 56
3.1.3 Twicecovariantparameters:impedancetensors 57
3.1.4 Electricalproblemmetricelaboration 58
3.1.5 Branchspacetomeshspaceconversion 59
3.2 TANmodellingmethodology 62
3.3 PCBelementsmodelling 64
3.3.1 Interconnects 64
3.3.2 Vias 72
3.3.3 Power-groundplane 73
3.3.4 SMAconnectors 74
References 75
4 Analytical calculation of PCB trace Z/Y/T/S matrices with TAN
approach 77
BlaiseRavelo,ZhifeiXu,YangLiu,andOlivierMaurice
4.1 Introduction 77
4.2 Generaldescriptionof P-portsystem 79
4.2.1 Diagramrepresentation 79
4.2.2 AnalyticalvariablesconstitutingPCBelectrical
interconnections 80
4.2.3 TANmodellingmethodology 82
4.3 ApplicationstudyoftheTANmethodtoY-treeshapePCBtrace
modelling 87
4.3.1 Y-treePCBproblemdescription 87
4.3.2 TANmodellingofRLCY-tree 88
4.3.3 ValidationresultwithSPICEsimulations 91
Contents ix
4.4 Applicationstudytoψ-shapemicrostripinterconnect 92
4.4.1 AnalyticalinvestigationontheTANmodellingofψ-tree
PCB 92
4.4.2 ValidationresultswithSPICEsimulations 97
4.5 Conclusion 99
References 99
5 Fast S-parameter Kron–Branin’s modelling of rectangular wave
guide(RWG)structureviameshimpedancereduction 103
BlaiseRaveloandOlivierMaurice
5.1 IntroductionofChapter4 103
5.2 Problemformulation 104
5.2.1 Structuraldescription 105
5.2.2 RepresentationofS-matrixblackbox 105
5.3 KBtheorizationofRWGS-matrix 106
5.3.1 RecallonRWGandTLtheory 106
5.3.2 KBmodellingofRWG 108
5.4 Validationresultswithparametricanalyses 110
5.4.1 DescriptionofRWGPOC 111
5.4.2 DiscussiononRWGsimulationresults 113
5.5 Conclusion 118
References 118
6 Time-domainTANmodellingofPCB-lumpedsystemwith
Kron’smethod 121
ZhifeiXu,YangLiu,BlaiseRavelo,andOlivierMaurice
6.1 Introduction 121
6.2 Basicdefinitionsandgeneralmethodologyoftheinnovativedirect
TDTANmodellingofPCBs 123
6.2.1 RepresentationofTANtopologyintheTD 123
6.2.2 KeyparametersofTDimplementationofTANapproach 124
6.2.3 TANTDprimitiveelements 126
6.2.4 MethodologyofPCBtracemodellingwithTANTD
approach 130
6.3 ApplicationtotwoportLCcircuits 131
6.3.1 TDTANapplicationwithTTLCcircuit 131
6.3.2 TDTANapplicationwithY-treeLCcircuit 136
6.4 Conclusion 141
References 141
7 Directtime-domainanalysiswithTANmethodfordistributed
PCBmodelling 145
ZhifeiXu,BlaiseRavelo,JonathanGantet,NicolasMarier,
andOlivierMaurice
7.1 Introduction 145
7.1.1 Branin’sTDexpression 146
7.1.2 Via’sTDexpression 147