O'Reilly logo

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques

Book Description

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. 

Table of Contents

  1. Title Page
  2. Copyright
  3. Dedication
  4. Preface
    1. General Aspects
    2. Fundamentals of EMM Solution Methods
    3. More About the PEEC Method
    4. Teaching Aspects
    5. References
  5. Acknowledgments
  6. Acronyms
  7. Chapter 1: Introduction
    1. References
  8. Chapter 2: Circuit Analysis for PEEC Methods
    1. 2.1 Circuit Analysis Techniques
    2. 2.2 Overall Electromagnetic and Circuit Solver Structure
    3. 2.3 Circuit Laws
    4. 2.4 Frequency and Time Domain Analyses
    5. 2.5 Frequency Domain Analysis Formulation
    6. 2.6 Time Domain Analysis Formulations
    7. 2.7 General Modified Nodal Analysis (MNA)
    8. 2.8 Including Frequency Dependent Models in Time Domain Solution
    9. 2.9 Including Frequency Domain Models in Circuit Solution
    10. 2.10 Recursive Convolution Solution
    11. 2.11 Circuit Models with Delays or Retardation
    12. References
  9. Chapter 3: Maxwell's Equations
    1. 3.1 Maxwell's Equations for PEEC Solutions
    2. 3.2 Auxiliary Potentials
    3. 3.3 Wave Equations and Their Solutions
    4. 3.4 Green's Function
    5. 3.5 Equivalence Principles
    6. 3.6 Numerical Solution of Integral Equations
    7. References
  10. Chapter 4: Capacitance Computations
    1. 4.1 Multiconductor Capacitance Concepts
    2. 4.2 Capacitance Models
    3. 4.3 Solution Techniques for Capacitance Problems
    4. 4.4 Meshing Related Accuracy Problems for PEEC Model
    5. 4.5 Representation of Capacitive Currents for PEEC Models
    6. References
  11. Chapter 5: Inductance Computations
    1. 5.1 Loop Inductance Computations
    2. 5.2 Inductance Computation Using a Solution or a Circuit Solver
    3. 5.3 Flux Loops for Partial Inductance
    4. 5.4 Inductances of Incomplete Structures
    5. 5.5 Computation of Partial Inductances
    6. 5.6 General Inductance Computations Using Partial Inductances and Open Loop Inductance
    7. 5.7 Difference Cell Pair Inductance Models
    8. 5.8 Partial Inductances with Frequency Domain Retardation
    9. References
  12. Chapter 6: Building PEEC Models
    1. 6.1 Resistive Circuit Elements for Manhattan-Type Geometries
    2. 6.2 Inductance–Resistance (Lp,R)PEEC Models
    3. 6.3 General (Lp,Pp,R)PEEC Model Development
    4. 6.4 Complete PEEC Model with Input and Output Connections
    5. 6.5 Time Domain Representation
    6. References
  13. Chapter 7: Nonorthogonal PEEC Models
    1. 7.1 Representation of Nonorthogonal Shapes
    2. 7.2 Specification of Nonorthogonal Partial Elements
    3. 7.3 Evaluation of Partial Elements for Nonorthogonal PEEC Circuits
    4. References
  14. Chapter 8: Geometrical Description and Meshing
    1. 8.1 General Aspects of PEEC Model Meshing Requirements
    2. 8.2 Outline of Some Meshing Techniques Available Today
    3. 8.3 SPICE Type Geometry Description
    4. 8.4 Detailed Properties of Meshing Algorithms
    5. 8.5 Automatic Generation of Geometrical Objects
    6. 8.6 Meshing of Some Three Dimensional Pre-determined Shapes
    7. 8.7 Approximations with Simplified Meshes
    8. 8.8 Mesh Generation Codes
    9. References
  15. Chapter 9: Skin Effect Modeling
    1. 9.1 Transmission Line Based Models
    2. 9.2 One Dimensional Current Flow Techniques
    3. 9.3 3D Volume Filament (VFI) Skin-Effect Model
    4. 9.4 Comparisons of Different Skin-Effect Models
    5. References
  16. Chapter 10: PEEC Models for Dielectrics
    1. 10.1 Electrical Models for Dielectric Materials
    2. 10.2 Circuit Oriented Models for Dispersive Dielectrics
    3. 10.3 Multi-Pole Debye Model
    4. 10.4 Including Dielectric Models in PEEC Solutions
    5. 10.5 Example for Impact of Dielectric Properties in the Time Domain
    6. References
  17. Chapter 11: PEEC Models for Magnetic Material
    1. 11.1 Inclusion of Problems with Magnetic Materials
    2. 11.2 Model for Magnetic Bodies by Using a Magnetic Scalar Potential and Magnetic Charge Formulation
    3. 11.3 PEEC Formulation Including Magnetic Bodies
    4. 11.4 Surface Models for Magnetic and Dielectric Material Solutions in PEEC
    5. References
  18. Chapter 12: Incident and Radiated Field Models
    1. 12.1 External Incident Field Applied to PEEC Model
    2. 12.2 Far-Field Radiation Models by Using Sensors
    3. 12.3 Direct Far-Field Radiation Computation
    4. References
  19. Chapter 13: Stability and Passivity of PEEC Models
    1. 13.1 Fundamental Stability and Passivity Concepts
    2. 13.2 Analysis of Properties of PEEC Circuits
    3. 13.3 Observability and Controllability of PEEC Circuits
    4. 13.4 Passivity Assessment of Solution
    5. 13.5 Solver Based Stability and Passivity Enhancement Techniques
    6. 13.6 Time Domain Solver Issues for Stability and Passivity
    7. 13.7 Acknowledgment
    8. References
  20. Appendix A: Table Of Units
    1. A.1 Collection of Variables and Constants for Different Applications
  21. Appendix B: Modified Nodal Analysis Stamps
    1. B.1 Modified Nodal Analysis Matrix Stamps
    2. B.2 Controlled Source Stamps
    3. References
  22. Appendix C: Computation of Partial Inductances
    1. C.1 Partial Inductance Formulas for Orthogonal Geometries
    2. C.2 Partial Inductance Formulas for Nonorthogonal Geometries
    3. References
  23. Appendix D: Computation of Partial Coefficients of Potential
    1. D.1 Partial Potential Coefficients for Orthogonal Geometries
    2. D.2 Partial Potential Coefficient Formulas for Nonorthogonal Geometries
    3. References
  24. Appendix E: Auxiliary Techniques for Partial Element Computations
    1. E.1 Multi-function Partial Element Integration
    2. References
  25. Index
  26. End User License Agreement