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Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques.

By: Contributor(s): Material type: TextTextSeries: IEEE Press SeriesPublisher: Newark : John Wiley & Sons, Incorporated, 2017Copyright date: ©2017Edition: 1st edDescription: 1 online resource (464 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781119078401
Subject(s): Genre/Form: Additional physical formats: Print version:: Circuit Oriented Electromagnetic Modeling Using the PEEC TechniquesLOC classification:
  • TK3001.R844 2017
Online resources:
Contents:
Cover -- Title Page -- Copyright -- Contents -- Dedication -- Preface -- Acknowledgements -- Acronyms -- Chapter 1 Introduction -- References -- Chapter 2 Circuit Analysis for PEEC Methods -- 2.1 Circuit Analysis Techniques -- 2.2 Overall Electromagnetic and Circuit Solver Structure -- 2.3 Circuit Laws -- 2.3.1 Kirchoff's Current Law -- 2.3.2 Kirchoff's Voltage Law -- 2.3.3 Branch Impedances -- 2.3.4 Incomplete Kirchhoff's Current Law -- 2.4 Frequency and Time Domain Analyses -- 2.5 Frequency Domain Analysis Formulation -- 2.6 Time Domain Analysis Formulations -- 2.6.1 Numerical Integration of Time Domain Differential Equations -- 2.6.2 List of Integration Methods for PEEC Solver -- 2.6.3 Initial Conditions for Time Solver with Delays -- 2.7 General Modified Nodal Analysis (MNA) -- 2.7.1 Matrix Kirchhoff's Current Law and Stamps -- 2.7.2 Matrix Kirchhoff's Voltage Law -- 2.7.3 Matrix KCL Solution of MNA Equations for PEEC -- 2.7.4 Matrix KCL for Conductor Example -- 2.8 Including Frequency Dependent Models in Time Domain Solution -- 2.9 Including Frequency Domain Models in Circuit Solution -- 2.9.1 Equivalent Circuit for Rational Approximation of Transfer Functions -- 2.9.2 Inclusion of Frequency Domain Models in a Time Domain Circuit Solver -- 2.9.3 General Inclusion of Frequency Domain Admittance Models -- 2.9.4 State-Space and Descriptor Representations -- 2.10 Recursive Convolution Solution -- 2.10.1 Conventional Convolution -- 2.10.2 Recursive Convolution -- 2.11 Circuit Models with Delays or Retardation -- 2.11.1 Inclusion of Delays in the Circuit Domain -- Problems -- References -- Chapter 3 Maxwell's Equations -- 3.1 Maxwell's Equations for PEEC Solutions -- 3.1.1 Maxwell's Equations in the Differential Form -- 3.1.2 Maxwell's Equations in the Integral Form -- 3.1.3 Maxwell's Equations and Kirchhoff's Circuit Laws.
3.1.4 Boundary Conditions -- 3.2 Auxiliary Potentials -- 3.2.1 Magnetic Vector Potential A and Electric Scalar Potential e -- 3.2.2 Electric Vector Potential F and Magnetic Scalar Potential m -- 3.2.3 Important Fundamental Relationships -- 3.3 Wave Equations and Their Solutions -- 3.3.1 Wave Equations for E and H -- 3.3.2 Wave Equations for A, F, and e -- 3.3.3 Solution of the Helmholtz Equation -- 3.3.4 Electric Field Integral Equation -- 3.4 Green's Function -- 3.4.1 Notation Used for Wave Number and Fourier Transform -- 3.4.2 Full Wave Free Space Green's Function -- 3.5 Equivalence Principles -- 3.5.1 Volume Equivalence Principle -- 3.5.2 Huygens' Equivalence Principle -- 3.6 Numerical Solution of Integral Equations -- Problems -- References -- Chapter 4 Capacitance Computations -- 4.1 Multiconductor Capacitance Concepts -- 4.2 Capacitance Models -- 4.2.1 Capacitance Models for Multiconductor Geometries -- 4.2.2 Short Circuit Capacitances -- 4.2.3 Coefficient of Potential Matrix Pp -- 4.2.4 Capacitance of Conductor Systems -- 4.2.5 Elimination of a Floating Conductor Node -- 4.2.6 Floating or Reference Free Capacitances -- 4.3 Solution Techniques for Capacitance Problems -- 4.3.1 Differential Equation (DE) Methods for Capacitance Computations -- 4.4 Meshing Related Accuracy Problems for PEEC Model -- 4.4.1 Impact of Meshing on Capacitances and Stability and Passivity -- 4.5 Representation of Capacitive Currents for PEEC Models -- 4.5.1 Quasistatic Capacitance-based Model -- 4.5.2 Current Source-Based Model for the Capacitances -- 4.5.3 Potential-Based Model for the Capacitances -- Problems -- References -- Chapter 5 Inductance Computations -- 5.1 Loop Inductance Computations -- 5.1.1 Loop Inductance Computation in Terms of Partial Inductances -- 5.1.2 Circuit Model for Partial Inductance Loop.
5.2 Inductance Computation Using a Solution or a Circuit Solver -- 5.3 Flux Loops for Partial Inductance -- 5.4 Inductances of Incomplete Structures -- 5.4.1 Open-Loop Inductances -- 5.4.2 Open-Loop Macromodels -- 5.4.3 Examples for Open-Loop Inductances -- 5.5 Computation of Partial Inductances -- 5.5.1 Approximate Formulas for Partial Inductances -- 5.5.2 Inductance Computations for Large Aspect Ratio Conductors -- 5.6 General Inductance Computations Using Partial Inductances and Open Loop Inductance -- 5.6.1 Closing the Loop for Open-Loop Problems -- 5.7 Difference Cell Pair Inductance Models -- 5.7.1 Inductances for Transmission Line-Type Geometries -- 5.7.2 Approximate Inductive Coupling Calculation Between Difference Cell Pairs -- 5.7.3 Inductance of Finite and Semi-Infinite Length TL -- 5.7.4 Plane Pair PEEC Models Based on Difference Currents -- 5.7.5 Parallel Plane PEEC Modeling -- 5.7.6 PEEC Inductance Plane Model with Orthogonal Meshing -- 5.7.7 Mesh Reduction Without Couplings of Nonparallel Inductances -- 5.8 Partial Inductances with Frequency Domain Retardation -- 5.8.1 Thin Wire Example for Retarded Partial Inductances -- 5.8.2 General Case for Separated Conductor Partial Inductances with Retardation -- Problems -- References -- Chapter 6 Building PEEC Models -- 6.1 Resistive Circuit Elements for Manhattan-Type Geometries -- 6.2 Inductance-Resistance (Lp,R)PEEC Models -- 6.2.1 Inductance-Resistance (L,R)PEEC Model for Bar Conductor -- 6.3 General (Lp,Pp,R)PEEC Model Development -- 6.3.1 Continuity Equation and KCL -- 6.3.2 Relaxation Time for Charge to Surface -- 6.3.3 Physical Aspect of the Capacitance Model -- 6.3.4 Equivalent Circuits for PEEC Capacitances -- 6.3.5 (Pp,R)PEEC Resistive Capacitive Inductor-Less Models -- 6.3.6 Delayed (Lp,Pp,R, )PEEC Models -- 6.3.7 Simple Full-Wave (Lp,Pp,R, )PEEC Models Implementation.
6.4 Complete PEEC Model with Input and Output Connections -- 6.4.1 Full-Wave Models -- 6.4.2 Quasistatic PEEC Models -- 6.4.3 Input and Output Selectors -- 6.4.4 Power/Energy Type Circuit Model -- 6.4.5 Resistances, Inductance, and Capacitive Terms -- 6.5 Time Domain Representation -- Problems -- References -- Chapter 7 Nonorthogonal PEEC Models -- 7.1 Representation of Nonorthogonal Shapes -- 7.1.1 Hexahedral Bodies -- 7.1.2 Derivatives of the Local Coordinates -- 7.2 Specification of Nonorthogonal Partial Elements -- 7.2.1 Discretization of Conductor and Dielectric Geometries -- 7.2.2 Continuity Equation and KCL for Nonorthogonal Geometries -- 7.3 Evaluation of Partial Elements for Nonorthogonal PEEC Circuits -- 7.3.1 Analytic Solution for Quadrilateral Cells in a Plane -- 7.3.2 General Case for Evaluation of Integral Ip -- 7.3.3 Evaluation of Integral Ip When Two Sides l Coincide -- Problems -- References -- Chapter 8 Geometrical Description and Meshing -- 8.1 General Aspects of PEEC Model Meshing Requirements -- 8.2 Outline of Some Meshing Techniques Available Today -- 8.2.1 Meshing Example for Rectangular Block -- 8.2.2 Multiblock Meshing Methods -- 8.2.3 Meshing of Nonorthogonal Subproblems -- 8.2.4 Adjustment of Block Boundary Nodes -- 8.2.5 Contacts Between the EM and Circuit Parts -- 8.2.6 Nonorthogonal Coordinate System for Geometries -- 8.3 SPICE Type Geometry Description -- 8.3.1 Shorting of Adjoining Bodies -- 8.4 Detailed Properties of Meshing Algorithms -- 8.4.1 Nonuniform Meshing Algorithm for Efficient PEEC Models -- 8.4.2 Cell Projection Algorithm -- 8.4.3 Smoothing and Tolerancing -- 8.4.4 Node Relaxation -- 8.5 Automatic Generation of Geometrical Objects -- 8.5.1 Automatic Meshing Techniques for Thin and Other Objects -- 8.5.2 Looping Algorithm Example -- 8.6 Meshing of Some Three Dimensional Pre-determined Shapes.
8.6.1 Generation Techniques and Meshing of Special Shapes Like Circles -- 8.6.2 Bodies Generated by Using Generatrices -- 8.7 Approximations with Simplified Meshes -- 8.8 Mesh Generation Codes -- Problems -- References -- Chapter 9 Skin Effect Modeling -- 9.1 Transmission Line Based Models -- 9.1.1 Anomalous Skin-Effect Loss and Surface Roughness -- 9.1.2 Current Flow Direction and Coordinate Dependence -- 9.2 One Dimensional Current Flow Techniques -- 9.2.1 Analytical 1D Current Flow Models -- 9.2.2 Narrow Band High-Frequency Skin-Effect Models -- 9.2.3 Approximate GSI Thin Conductor Skin-Effect Model -- 9.2.4 Physics-Based Macromodel -- 9.2.5 Frequency Domain Solver for Physics-Based Macromodel -- 9.2.6 Approximate Thin Wire Skin-Effect Loss Model -- 9.3 3D Volume Filament (VFI) Skin-Effect Model -- 9.3.1 Approximate 3D VFI Model with 1D Current Flow -- 9.3.2 Shorts at the Intersections -- 9.3.3 Proximity Effect -- 9.3.4 Circuit Equations for Proximity Effect Study -- 9.3.5 Full 3D Current Flow Skin-Effect Models -- 9.3.6 Equivalent Circuit for 3D VFI Model -- 9.3.7 Surface Equivalence Theorem-Based Skin-Effect Model -- 9.4 Comparisons of Different Skin-Effect Models -- 9.4.1 Thin Conductor Results -- 9.4.2 Thick Conductor Results -- 9.4.3 Comparison of Example Results -- Problems -- References -- Chapter 10 PEEC Models for Dielectrics -- 10.1 Electrical Models for Dielectric Materials -- 10.1.1 Frequency and Time Domain Models for Dielectric Materials -- 10.1.2 Models for Lossy Dielectric Materials -- 10.1.3 Permittivity Properties of Dielectrics -- 10.1.4 Electrical Permittivity Model for Time Domain -- 10.1.5 Causal Models for Dispersive and Lossy Dielectrics -- 10.2 Circuit Oriented Models for Dispersive Dielectrics -- 10.2.1 Simple Debye Medium Circuit Model for Dielectric Block -- 10.2.2 Simple Capacitance Model for Lorentz Media.
10.3 Multi-Pole Debye Model.
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Cover -- Title Page -- Copyright -- Contents -- Dedication -- Preface -- Acknowledgements -- Acronyms -- Chapter 1 Introduction -- References -- Chapter 2 Circuit Analysis for PEEC Methods -- 2.1 Circuit Analysis Techniques -- 2.2 Overall Electromagnetic and Circuit Solver Structure -- 2.3 Circuit Laws -- 2.3.1 Kirchoff's Current Law -- 2.3.2 Kirchoff's Voltage Law -- 2.3.3 Branch Impedances -- 2.3.4 Incomplete Kirchhoff's Current Law -- 2.4 Frequency and Time Domain Analyses -- 2.5 Frequency Domain Analysis Formulation -- 2.6 Time Domain Analysis Formulations -- 2.6.1 Numerical Integration of Time Domain Differential Equations -- 2.6.2 List of Integration Methods for PEEC Solver -- 2.6.3 Initial Conditions for Time Solver with Delays -- 2.7 General Modified Nodal Analysis (MNA) -- 2.7.1 Matrix Kirchhoff's Current Law and Stamps -- 2.7.2 Matrix Kirchhoff's Voltage Law -- 2.7.3 Matrix KCL Solution of MNA Equations for PEEC -- 2.7.4 Matrix KCL for Conductor Example -- 2.8 Including Frequency Dependent Models in Time Domain Solution -- 2.9 Including Frequency Domain Models in Circuit Solution -- 2.9.1 Equivalent Circuit for Rational Approximation of Transfer Functions -- 2.9.2 Inclusion of Frequency Domain Models in a Time Domain Circuit Solver -- 2.9.3 General Inclusion of Frequency Domain Admittance Models -- 2.9.4 State-Space and Descriptor Representations -- 2.10 Recursive Convolution Solution -- 2.10.1 Conventional Convolution -- 2.10.2 Recursive Convolution -- 2.11 Circuit Models with Delays or Retardation -- 2.11.1 Inclusion of Delays in the Circuit Domain -- Problems -- References -- Chapter 3 Maxwell's Equations -- 3.1 Maxwell's Equations for PEEC Solutions -- 3.1.1 Maxwell's Equations in the Differential Form -- 3.1.2 Maxwell's Equations in the Integral Form -- 3.1.3 Maxwell's Equations and Kirchhoff's Circuit Laws.

3.1.4 Boundary Conditions -- 3.2 Auxiliary Potentials -- 3.2.1 Magnetic Vector Potential A and Electric Scalar Potential e -- 3.2.2 Electric Vector Potential F and Magnetic Scalar Potential m -- 3.2.3 Important Fundamental Relationships -- 3.3 Wave Equations and Their Solutions -- 3.3.1 Wave Equations for E and H -- 3.3.2 Wave Equations for A, F, and e -- 3.3.3 Solution of the Helmholtz Equation -- 3.3.4 Electric Field Integral Equation -- 3.4 Green's Function -- 3.4.1 Notation Used for Wave Number and Fourier Transform -- 3.4.2 Full Wave Free Space Green's Function -- 3.5 Equivalence Principles -- 3.5.1 Volume Equivalence Principle -- 3.5.2 Huygens' Equivalence Principle -- 3.6 Numerical Solution of Integral Equations -- Problems -- References -- Chapter 4 Capacitance Computations -- 4.1 Multiconductor Capacitance Concepts -- 4.2 Capacitance Models -- 4.2.1 Capacitance Models for Multiconductor Geometries -- 4.2.2 Short Circuit Capacitances -- 4.2.3 Coefficient of Potential Matrix Pp -- 4.2.4 Capacitance of Conductor Systems -- 4.2.5 Elimination of a Floating Conductor Node -- 4.2.6 Floating or Reference Free Capacitances -- 4.3 Solution Techniques for Capacitance Problems -- 4.3.1 Differential Equation (DE) Methods for Capacitance Computations -- 4.4 Meshing Related Accuracy Problems for PEEC Model -- 4.4.1 Impact of Meshing on Capacitances and Stability and Passivity -- 4.5 Representation of Capacitive Currents for PEEC Models -- 4.5.1 Quasistatic Capacitance-based Model -- 4.5.2 Current Source-Based Model for the Capacitances -- 4.5.3 Potential-Based Model for the Capacitances -- Problems -- References -- Chapter 5 Inductance Computations -- 5.1 Loop Inductance Computations -- 5.1.1 Loop Inductance Computation in Terms of Partial Inductances -- 5.1.2 Circuit Model for Partial Inductance Loop.

5.2 Inductance Computation Using a Solution or a Circuit Solver -- 5.3 Flux Loops for Partial Inductance -- 5.4 Inductances of Incomplete Structures -- 5.4.1 Open-Loop Inductances -- 5.4.2 Open-Loop Macromodels -- 5.4.3 Examples for Open-Loop Inductances -- 5.5 Computation of Partial Inductances -- 5.5.1 Approximate Formulas for Partial Inductances -- 5.5.2 Inductance Computations for Large Aspect Ratio Conductors -- 5.6 General Inductance Computations Using Partial Inductances and Open Loop Inductance -- 5.6.1 Closing the Loop for Open-Loop Problems -- 5.7 Difference Cell Pair Inductance Models -- 5.7.1 Inductances for Transmission Line-Type Geometries -- 5.7.2 Approximate Inductive Coupling Calculation Between Difference Cell Pairs -- 5.7.3 Inductance of Finite and Semi-Infinite Length TL -- 5.7.4 Plane Pair PEEC Models Based on Difference Currents -- 5.7.5 Parallel Plane PEEC Modeling -- 5.7.6 PEEC Inductance Plane Model with Orthogonal Meshing -- 5.7.7 Mesh Reduction Without Couplings of Nonparallel Inductances -- 5.8 Partial Inductances with Frequency Domain Retardation -- 5.8.1 Thin Wire Example for Retarded Partial Inductances -- 5.8.2 General Case for Separated Conductor Partial Inductances with Retardation -- Problems -- References -- Chapter 6 Building PEEC Models -- 6.1 Resistive Circuit Elements for Manhattan-Type Geometries -- 6.2 Inductance-Resistance (Lp,R)PEEC Models -- 6.2.1 Inductance-Resistance (L,R)PEEC Model for Bar Conductor -- 6.3 General (Lp,Pp,R)PEEC Model Development -- 6.3.1 Continuity Equation and KCL -- 6.3.2 Relaxation Time for Charge to Surface -- 6.3.3 Physical Aspect of the Capacitance Model -- 6.3.4 Equivalent Circuits for PEEC Capacitances -- 6.3.5 (Pp,R)PEEC Resistive Capacitive Inductor-Less Models -- 6.3.6 Delayed (Lp,Pp,R, )PEEC Models -- 6.3.7 Simple Full-Wave (Lp,Pp,R, )PEEC Models Implementation.

6.4 Complete PEEC Model with Input and Output Connections -- 6.4.1 Full-Wave Models -- 6.4.2 Quasistatic PEEC Models -- 6.4.3 Input and Output Selectors -- 6.4.4 Power/Energy Type Circuit Model -- 6.4.5 Resistances, Inductance, and Capacitive Terms -- 6.5 Time Domain Representation -- Problems -- References -- Chapter 7 Nonorthogonal PEEC Models -- 7.1 Representation of Nonorthogonal Shapes -- 7.1.1 Hexahedral Bodies -- 7.1.2 Derivatives of the Local Coordinates -- 7.2 Specification of Nonorthogonal Partial Elements -- 7.2.1 Discretization of Conductor and Dielectric Geometries -- 7.2.2 Continuity Equation and KCL for Nonorthogonal Geometries -- 7.3 Evaluation of Partial Elements for Nonorthogonal PEEC Circuits -- 7.3.1 Analytic Solution for Quadrilateral Cells in a Plane -- 7.3.2 General Case for Evaluation of Integral Ip -- 7.3.3 Evaluation of Integral Ip When Two Sides l Coincide -- Problems -- References -- Chapter 8 Geometrical Description and Meshing -- 8.1 General Aspects of PEEC Model Meshing Requirements -- 8.2 Outline of Some Meshing Techniques Available Today -- 8.2.1 Meshing Example for Rectangular Block -- 8.2.2 Multiblock Meshing Methods -- 8.2.3 Meshing of Nonorthogonal Subproblems -- 8.2.4 Adjustment of Block Boundary Nodes -- 8.2.5 Contacts Between the EM and Circuit Parts -- 8.2.6 Nonorthogonal Coordinate System for Geometries -- 8.3 SPICE Type Geometry Description -- 8.3.1 Shorting of Adjoining Bodies -- 8.4 Detailed Properties of Meshing Algorithms -- 8.4.1 Nonuniform Meshing Algorithm for Efficient PEEC Models -- 8.4.2 Cell Projection Algorithm -- 8.4.3 Smoothing and Tolerancing -- 8.4.4 Node Relaxation -- 8.5 Automatic Generation of Geometrical Objects -- 8.5.1 Automatic Meshing Techniques for Thin and Other Objects -- 8.5.2 Looping Algorithm Example -- 8.6 Meshing of Some Three Dimensional Pre-determined Shapes.

8.6.1 Generation Techniques and Meshing of Special Shapes Like Circles -- 8.6.2 Bodies Generated by Using Generatrices -- 8.7 Approximations with Simplified Meshes -- 8.8 Mesh Generation Codes -- Problems -- References -- Chapter 9 Skin Effect Modeling -- 9.1 Transmission Line Based Models -- 9.1.1 Anomalous Skin-Effect Loss and Surface Roughness -- 9.1.2 Current Flow Direction and Coordinate Dependence -- 9.2 One Dimensional Current Flow Techniques -- 9.2.1 Analytical 1D Current Flow Models -- 9.2.2 Narrow Band High-Frequency Skin-Effect Models -- 9.2.3 Approximate GSI Thin Conductor Skin-Effect Model -- 9.2.4 Physics-Based Macromodel -- 9.2.5 Frequency Domain Solver for Physics-Based Macromodel -- 9.2.6 Approximate Thin Wire Skin-Effect Loss Model -- 9.3 3D Volume Filament (VFI) Skin-Effect Model -- 9.3.1 Approximate 3D VFI Model with 1D Current Flow -- 9.3.2 Shorts at the Intersections -- 9.3.3 Proximity Effect -- 9.3.4 Circuit Equations for Proximity Effect Study -- 9.3.5 Full 3D Current Flow Skin-Effect Models -- 9.3.6 Equivalent Circuit for 3D VFI Model -- 9.3.7 Surface Equivalence Theorem-Based Skin-Effect Model -- 9.4 Comparisons of Different Skin-Effect Models -- 9.4.1 Thin Conductor Results -- 9.4.2 Thick Conductor Results -- 9.4.3 Comparison of Example Results -- Problems -- References -- Chapter 10 PEEC Models for Dielectrics -- 10.1 Electrical Models for Dielectric Materials -- 10.1.1 Frequency and Time Domain Models for Dielectric Materials -- 10.1.2 Models for Lossy Dielectric Materials -- 10.1.3 Permittivity Properties of Dielectrics -- 10.1.4 Electrical Permittivity Model for Time Domain -- 10.1.5 Causal Models for Dispersive and Lossy Dielectrics -- 10.2 Circuit Oriented Models for Dispersive Dielectrics -- 10.2.1 Simple Debye Medium Circuit Model for Dielectric Block -- 10.2.2 Simple Capacitance Model for Lorentz Media.

10.3 Multi-Pole Debye Model.

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