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Foundations of Electromagnetic Compatibility with Practical Applications

Book Description

  

There is currently no single book that covers the mathematics, circuits, and electromagnetics backgrounds needed for the study of electromagnetic compatibility (EMC). This book aims to redress the balance by focusing on EMC and providing the background in all three disciplines. This background is necessary for many EMC practitioners who have been out of study for some time and who are attempting to follow and confidently utilize more advanced EMC texts.

The book is split into three parts: Part 1 is the refresher course in the underlying mathematics; Part 2 is the foundational chapters in electrical circuit theory; Part 3 is the heart of the book: electric and magnetic fields, waves, transmission lines and antennas. Each part of the book provides an independent area of study, yet each is the logical step to the next area, providing a comprehensive course through each topic. Practical EMC applications at the end of each chapter illustrate the applicability of the chapter topics. The Appendix reviews the fundamentals of EMC testing and measurements. 

Table of Contents

  1. Cover
  2. Title Page
  3. Preface
  4. Part I: Math Foundations of EMC
    1. 1 Matrix and Vector Algebra
      1. 1.1 Basic Concepts and Operations
      2. 1.2 Matrix Multiplication
      3. 1.3 Special Matrices
      4. 1.4 Matrices and Determinants
      5. 1.5 Inverse of a Matrix
      6. 1.6 Matrices and Systems of Equations
      7. 1.7 Solution of Systems of Equations
      8. 1.8 Cramer’s Rule
      9. 1.9 Vector Operations
      10. 1.10 EMC Applications
      11. References
    2. 2 Coordinate Systems
      1. 2.1 Cartesian Coordinate System
      2. 2.2 Cylindrical Coordinate System
      3. 2.3 Spherical Coordinate System
      4. 2.4 Transformations between Coordinate Systems
      5. 2.5 EMC Applications
      6. References
    3. 3 Vector Differential Calculus
      1. 3.1 Derivatives
      2. 3.2 Differential Elements
      3. 3.3 Constant‐Coordinate Surfaces
      4. 3.4 Differential Operators
      5. 3.5 EMC Applications
      6. References
    4. 4 Vector Integral Calculus
      1. 4.1 Line Integrals
      2. 4.2 Surface Integrals
      3. 4.3 Volume Integrals
      4. 4.4 Divergence Theorem of Gauss
      5. 4.5 Stokes’s Theorem
      6. 4.6 EMC Applications
      7. References
    5. 5 Differential Equations
      1. 5.1 First Order Differential Equations – RC and RL Circuits
      2. 5.2 Second‐Order Differential Equations – Series and Parallel RLC Circuits
      3. 5.3 Helmholtz Wave Equations
      4. 5.4 EMC Applications
      5. References
    6. 6 Complex Numbers and Phasors
      1. 6.1 Definitions and Forms
      2. 6.2 Complex Conjugate
      3. 6.3 Operations on Complex Numbers
      4. 6.4 Properties of Complex Numbers
      5. 6.5 Complex Exponential Function
      6. 6.6 Sinusoids and Phasors
      7. 6.7 EMC Applications
      8. References
  5. Part II: Circuits Foundations of EMC
    1. 7 Basic Laws and Methods of Circuit Analysis
      1. 7.1 Fundamental Concepts
      2. 7.2 Laplace Transform Basics
      3. 7.3 Fundamental Laws
      4. 7.4 EMC Applications
      5. References
    2. 8 Systematic Methods of Circuit Analysis
      1. 8.1 Node Voltage Analysis
      2. 8.2 Mesh Current Analysis
      3. 8.3 EMC Applications
      4. References
    3. 9 Circuit Theorems and Techniques
      1. 9.1 Superposition
      2. 9.2 Source Transformation
      3. 9.3 Thévenin Equivalent Circuit
      4. 9.4 Norton Equivalent Circuit
      5. 9.5 Maximum Power Transfer
      6. 9.6 Two‐Port Networks
      7. 9.7 EMC Applications
      8. References
    4. 10 Magnetically Coupled Circuits
      1. 10.1 Self and Mutual Inductance
      2. 10.2 Energy in a Coupled Circuit
      3. 10.3 Linear (Air‐Core) Transformers
      4. 10.4 Ideal (Iron‐Core) Transformers
      5. 10.5 EMC Applications
      6. References
    5. 11 Frequency‐Domain Analysis
      1. 11.1 Transfer Function
      2. 11.2 Frequency‐Transfer Function
      3. 11.3 Bode Plots
      4. 11.4 Passive Filters
      5. 11.5 Resonance in RLC Circuits
      6. 11.6 EMC Applications
      7. References
    6. 12 Frequency Content of Digital Signals
      1. 12.1 Fourier Series and Frequency Content of Signals
      2. 12.2 EMC Applications
      3. References
  6. Part III: Electromagnetics Foundations of EMC
    1. 13 Static and Quasi‐Static Electric Fields
      1. 13.1 Charge Distributions
      2. 13.2 Coulomb’s Law
      3. 13.3 Electric Field Intensity
      4. 13.4 Electric Field Due to Charge Distributions
      5. 13.5 Electric Flux Density
      6. 13.6 Gauss’s Law for the Electric Field
      7. 13.7 Applications of Gauss’s Law
      8. 13.8 Electric Scalar Potential and Voltage
      9. 13.9 Voltage Calculations due to Charge Distributions
      10. 13.10 Electric Flux Lines and Equipotential Surfaces
      11. 13.11 Maxwell’s Equations for Static Electric Field
      12. 13.12 Capacitance Calculations of Structures
      13. 13.13 Electric Boundary Conditions
      14. 13.14 EMC Applications
      15. References
    2. 14 Static and Quasi‐Static Magnetic Fields
      1. 14.1 Magnetic Flux Density
      2. 14.2 Magnetic Field Intensity
      3. 14.3 Biot–Savart Law
      4. 14.4 Current Distributions
      5. 14.5 Ampere’s Law
      6. 14.6 Applications of Ampere’s Law
      7. 14.7 Magnetic Flux
      8. 14.8 Gauss’s Law for Magnetic Field
      9. 14.9 Maxwell’s Equations for Static Fields
      10. 14.10 Vector Magnetic Potential
      11. 14.11 Faraday’s Law
      12. 14.12 Inductance Calculations of Structures
      13. 14.13 Magnetic Boundary Conditions
      14. 14.14 EMC Applications
      15. References
    3. 15 Rapidly Varying Electromagnetic Fields
      1. 15.1 Eddy Currents
      2. 15.2 Charge‐Current Continuity Equation
      3. 15.3 Displacement Current
      4. 15.4 EMC Applications
      5. References
    4. 16 Electromagnetic Waves
      1. 16.1 Uniform Waves – Time Domain Analysis
      2. 16.3 Reflection and Transmission of Uniform Waves at Boundaries
      3. 16.4 EMC Applications
      4. References
    5. 17 Transmission Lines
      1. 17.1 Transient Analysis
      2. 17.2 Steady‐State Analysis
      3. 17.3 s Parameters
      4. 17.4 EMC Applications
      5. References
    6. 18 Antennas and Radiation
      1. 18.1 Bridge between the Transmission Line and Antenna Theory
      2. 18.2 Hertzian Dipole Antenna
      3. 18.3 Far Field Criteria
      4. 18.4 Half‐Wave Dipole Antenna
      5. 18.5 Quarter‐Wave Monopole Antenna
      6. 18.6 Image Theory
      7. 18.7 Differential‐ and Common‐Mode Currents and Radiation
      8. 18.8 Common Mode Current Creation
      9. 18.9 Antenna Circuit Model
      10. 18.10 EMC Applications
      11. References
  7. Appendix A: EMC Tests and Measurements
    1. A.1 Introduction – FCC Part 15 and CISPR 22 Standards
    2. A.2 Conducted Emissions
    3. A.3 Radiated Emissions
    4. A.4 Conducted Immunity – ISO 11452‐4
    5. A.5 Radiated Immunity
    6. A.6 Electrostatic Discharge (ESD)
    7. References
  8. Index
  9. End User License Agreement