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Bridges the gap between electromagnetics and circuits by addressing electrometric modeling (EM) using the Partial Element Equivalent Circuit (PEEC) method
This book provides intuitive solutions to electromagnetic problems by using the Partial Element Equivalent Circuit (PEEC) method. This book begins with an introduction to circuit analysis techniques, laws, and frequency and time domain analyses. The authors also treat Maxwell's equations, capacitance computations, and inductance computations through the lens of the PEEC method. Next, readers learn to build PEEC models in various forms: equivalent circuit models, non-orthogonal PEEC models, skin-effect models, PEEC models for dielectrics, incident and radiate field models, and scattering PEEC models. The book concludes by considering issues like stability and passivity, and includes five appendices some with formulas for partial elements.
* Leads readers to the solution of a multitude of practical problems in the areas of signal and power integrity and electromagnetic interference
* Contains fundamentals, applications, and examples of the PEEC method
* Includes detailed mathematical derivations
Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques is a reference for students, researchers, and developers who work on the physical layer modeling of IC interconnects and Packaging, PCBs, and high speed links.
List of contents
DEDICATION xv
PREFACE xvii
ACKNOWLEDGEMENTS xxi
ACRONYMS xxv
1 Introduction 1
References, 6
2 Circuit Analysis for PEEC Methods 9
2.1 Circuit Analysis Techniques, 9
2.2 Overall Electromagnetic and Circuit Solver Structure, 9
2.3 Circuit Laws, 11
2.4 Frequency and Time Domain Analyses, 13
2.5 Frequency Domain Analysis Formulation, 14
2.6 Time Domain Analysis Formulations, 17
2.7 General Modified Nodal Analysis (MNA), 22
2.8 Including Frequency Dependent Models in Time Domain Solution, 28
2.9 Including Frequency Domain Models in Circuit Solution, 31
2.10 Recursive Convolution Solution, 39
2.11 Circuit Models with Delays or Retardation, 41
Problems, 43
References, 44
3 Maxwell's Equations 47
3.1 Maxwell's Equations for PEEC Solutions, 47
3.2 Auxiliary Potentials, 52
3.3 Wave Equations and Their Solutions, 54
3.4 Green's Function, 58
3.5 Equivalence Principles, 60
3.6 Numerical Solution of Integral Equations, 63
Problems, 65
References, 66
4 Capacitance Computations 67
4.1 Multiconductor Capacitance Concepts, 68
4.2 Capacitance Models, 69
4.3 Solution Techniques for Capacitance Problems, 74
4.4 Meshing Related Accuracy Problems for PEEC Model, 79
4.5 Representation of Capacitive Currents for PEEC Models, 82
Problems, 85
References, 86
5 Inductance Computations 89
5.1 Loop Inductance Computations, 90
5.2 Inductance Computation Using a Solution or a Circuit Solver, 95
5.3 Flux Loops for Partial Inductance, 95
5.4 Inductances of Incomplete Structures, 96
5.5 Computation of Partial Inductances, 99
5.6 General Inductance Computations Using Partial Inductances and Open Loop Inductance, 107
5.7 Difference Cell Pair Inductance Models, 109
5.8 Partial Inductances with Frequency Domain Retardation, 119
Retardation, 123
Problems, 125
References, 131
6 Building PEEC Models 133
6.1 Resistive Circuit Elements for Manhattan-Type Geometries, 134
6.2 Inductance-Resistance (Lp,R)PEEC Models, 136
6.3 General (Lp,p,R)PEEC Model Development, 138
6.4 Complete PEEC Model with Input and Output Connections, 148
6.5 Time Domain Representation, 154
Problems, 154
References, 155
7 Nonorthogonal PEEC Models 157
7.1 Representation of Nonorthogonal Shapes, 158
7.2 Specification of Nonorthogonal Partial Elements, 163
7.3 Evaluation of Partial Elements for Nonorthogonal PEEC Circuits, 169
Problems, 181
References, 182
8 Geometrical Description and Meshing 185
8.1 General Aspects of PEEC Model Meshing Requirements, 186
8.2 Outline of Some Meshing Techniques Available Today, 187
8.3 SPICE Type Geometry Description, 194
8.4 Detailed Properties of Meshing Algorithms, 196
8.5 Automatic Generation of Geometrical Objects, 202
8.6 Meshing of Some Three Dimensional Pre-determined Shapes, 205
8.7 Approximations with Simplified Meshes, 207
8.8 Mesh Generation Codes, 208
Problems, 209
References, 210
9 Skin Effect Modeling 213
9.1 Transmission Line Based Models, 214
9.2 One Dimensional Current Flow Techniques, 215
9.3 3D Volume Filament (VFI) Skin-Effect Model, 227
9.4 Comparisons
About the author
ALBERT E. RUEHLI is an Adjunct Professor at MST Rolla, Missouri. He received his PhD, EE, at the University of Vermont and an honorary doctorate from Lulea University, Sweden. Ruehli received the Golden Jubilee Medal, the Guillemin-Cauer Prize from the IEEE CAS and the Richard Stoddart Award from the IEEE EMC Society.
GIULI ANTONINI is a Full Professor in the Department of Industrial and Information Engineering and Economics at the Universit?? degli Studi dell'Aquila in L'Aquila, Italy. He received his PhD from the University of Rome "Sapienza." He worked on the development of the PEEC method for more than 15 years.
LIJUN JIANG is an Associate Professor in the Department of EEE at the University of Hong Kong. He received HP STAR Award, Y.T. Lo Outstanding Research Award, IBM Research Technical Achievement Award, and other awards. He serves as the Associate Editor for IEEE Transactions on Antennas and Propagation and for PIER.
Summary
Bridges the gap between electromagnetics and circuits by addressing electrometric modeling (EM) using the Partial Element Equivalent Circuit (PEEC) method This book provides intuitive solutions to electromagnetic problems by using the Partial Element Equivalent Circuit (PEEC) method.
