## Book Description

Electric Field Analysis is both a student-friendly textbook and a valuable tool for engineers and physicists engaged in the design work of high-voltage insulation systems. The text begins by introducing the physical and mathematical fundamentals of electric fields, presenting problems from power and dielectric engineering to show how the theories are put into practice. The book then describes various techniques for electric field analysis and their significance in the validation of numerically computed results, as well as:
• Discusses finite difference, finite element, charge simulation, and surface charge simulation methods for the numerical computation of electric fields
• Provides case studies for electric field distribution in a cable termination, around a post insulator, in a condenser bushing, and around a gas-insulated substation (GIS) spacer
• Explores numerical field calculation for electric field optimization, demonstrating contour correction and examining the application of artificial neural networks
• Explains how high-voltage field optimization studies are carried out to meet the desired engineering needs

Electric Field Analysis is accompanied by an easy-to-use yet comprehensive software for electric field computation. The software, along with a wealth of supporting content, is available for download with qualifying course adoption.

1. Cover
2. Half Title
3. Title Page
6. Foreword
7. Preface
8. Author
9. 1. Fundamentals of Electric Field
1. 1.1 Introduction
2. 1.2 Electric Charge
3. 1.3 Electric Fieldlines
4. 1.4 Coulomb’s Law
5. 1.5 Electric Field Intensity
6. 1.6 Electric Flux and Electric Flux Density
7. 1.7 Electric Potential
8. 1.8 Field due to Point Charge
9. 1.9 Field due to a Uniformly Charged Line
10. 1.10 Field due to a Uniformly Charged Ring
11. 1.11 Field due to a Uniformly Charged Disc
12. Objective Type Questions
13. Bibliography
10. 2. Gauss’s Law and Related Topics
1. 2.1 Introduction
2. 2.2 Useful Definitions and Integrals
3. 2.3 Integral Form of Gauss’s Law
4. 2.4 Differential Form of Gauss’s Law
5. 2.5 Divergence Theorem
6. 2.6 Poisson’s and Laplace’s Equations
7. 2.7 Field due to a Continuous Distribution of Charge
8. 2.8 Steps to Solve Problems Using Gauss’s Law
9. Objective Type Questions
11. 3. Orthogonal Coordinate Systems
1. 3.1 Basic Concepts
2. 3.2 Cartesian Coordinate System
3. 3.3 Cylindrical Coordinate System
4. 3.4 Spherical Coordinate System
5. 3.5 Generalized Orthogonal Curvilinear Coordinate System
6. 3.6 Vector Operations
2. 3.6.2 Del Operator
3. 3.6.3 Divergence
4. 3.6.4 Laplacian
5. 3.6.5 Curl
7. Objective Type Questions
12. 4. Single-Dielectric Configurations
13. 5. Dielectric Polarization
1. 5.1 Introduction
2. 5.2 Field due to an Electric Dipole and Polarization Vector
3. 5.3 Polarizability
1. 5.3.1 Non-Polar and Polar Molecules
2. 5.3.2 Electronic Polarizability of an Atom
3. 5.3.3 Types of Polarizability
4. 5.4 Field due to a Polarized Dielectric
5. 5.5 Electric Displacement Vector
6. 5.6 Classification of Dielectrics
7. 5.7 Frequency Dependence of Polarizabilities
8. 5.8 Mass-Spring Model of Fields in Dielectrics
9. 5.9 Dielectric Anisotropy
10. Objective Type Questions
14. 6. Electrostatic Boundary Conditions
1. 6.1 Introduction
2. 6.2 Boundary Conditions between a Perfect Conductor and a Dielectric
3. 6.3 Boundary Conditions between Two Different Dielectric Media
4. Objective Type Questions
15. 7. Multi-Dielectric Configurations
1. 7.1 Introduction
2. 7.2 Parallel Plate Capacitor
3. 7.3 Co-Axial Cylindrical Configurations
4. Objective Type Questions
16. 8. Electrostatic Pressures on Boundary Surfaces
1. 8.1 Introduction
2. 8.2 Mechanical Pressure on a Conductor–Dielectric Boundary
3. 8.3 Mechanical Pressure on a Dielectric–Dielectric Boundary
4. 8.4 Two Dielectric Media in Series between a Parallel Plate Capacitor
5. 8.5 Two Dielectric Media in Parallel between a Parallel Plate Capacitor
6. Objective Type Questions
17. 9. Method of Images
1. 9.1 Introduction
2. 9.2 Image of a Point Charge with Respect to an Infinitely Long Conducting Plane
3. 9.3 Image of a Point Charge with Respect to a Grounded Conducting Sphere
4. 9.4 Image of an Infinitely Long Line Charge with Respect to an Infinitely Long Conducting Plane
5. 9.5 Two Infinitely Long Parallel Cylinders
6. 9.6 Salient Features of Method of Images
7. Objective Type Questions
18. 10. Sphere or Cylinder in Uniform External Field
1. 10.1 Introduction
2. 10.2 Sphere in Uniform External Field
3. 10.3 Cylinder in Uniform External Field
4. Objective Type Questions
19. 11. Conformal Mapping
1. 11.1 Introduction
2. 11.2 Basic Theory of Conformal Mapping
3. 11.3 Concept of Complex Potential
4. 11.4 Procedural Steps in Solving Problems Using Conformal Mapping
5. 11.5 Applications of Conformal Mapping in Electrostatic Potential Problems
6. Objective Type Questions
20. 12. Graphical Field Plotting
1. 12.1 Introduction
2. 12.2 Experimental Field Mapping256
3. 12.3 Field Mapping Using Curvilinear Squares
4. 12.4 Field Mapping in Multi-Dielectric Media
5. 12.5 Field Mapping in Axi-Symmetric Configuration
6. Objective Type Questions
7. Bibliography
21. 13. Numerical Computation of Electric Field
22. 14. Numerical Computation of High-Voltage Field by Finite Difference Method
1. 14.1 Introduction
2. 14.2 FDM Equations in 3D System for Single-Dielectric Medium
3. 14.3 FDM Equations in Axi-Symmetric System for Single-Dielectric Medium
4. 14.4 FDM Equations in 3D System for Multi-Dielectric Media
5. 14.5 FDM Equations in Axi-Symmetric System for Multi-Dielectric Media
1. 14.5.1 For Series Dielectric Media
2. 14.5.2 For Parallel Dielectric Media
6. 14.6 Simulation Details
7. 14.7 FDM Examples
8. Objective Type Questions
9. Bibliography
23. 15. Numerical Computation of High-Voltage Field by Finite Element Method
1. 15.1 Introduction
2. 15.2 Basics of FEM
3. 15.3 Procedural Steps in FEM
4. 15.4 Variational Approach towards FEM Formulation
1. 15.4.1 FEM Formulation in a 2D System with Single-Dielectric Medium
2. 15.4.2 FEM Formulation in 2D System with Multi-Dielectric Media
3. 15.4.3 FEM Formulation in Axi-Symmetric System
4. 15.4.4 Shape Function, Global and Natural Coordinates
5. 15.4.5 Derivation of Field Variables Using Natural Coordinates
6. 15.4.6 Other Types of Elements for 2D and Axi-Symmetric Systems
7. 15.4.7 FEM Formulation in 3D System
8. 15.4.8 Mapping of Finite Elements
5. 15.5 Features of Discretization in FEM
6. 15.6 Solution of System of Equations in FEM
8. 15.8 FEM Examples
9. Objective Type Questions
10. Bibliography
24. 16. Numerical Computation of High-Voltage Field by Charge Simulation Method
1. 16.1 Introduction
2. 16.2 CSM Formulation for Single-Dielectric Medium
3. 16.3 CSM Formulation for Multi-Dielectric Media
4. 16.4 Types of Fictitious Charges
5. 16.5 CSM with Complex Fictitious Charges
6. 16.6 Capacitive-Resistive Field Computation by CSM
7. 16.7 Field Computation by CSM under Transient Voltage
8. 16.8 Accuracy Criteria
9. 16.9 Other Development in CSM
10. 16.10 Comparison of CSM with FEM
11. 16.11 Hybrid Method Involving CSM and FEM
12. 16.12 CSM Examples
13. Objective Type Questions
14. Bibliography
25. 17. Numerical Computation of High-Voltage Field by Surface Charge Simulation Method
1. 17.1 Introduction
2. 17.2 SCSM Formulation for Single-Dielectric Medium
3. 17.3 Surface Charge Elements in 2D and Axi-Symmetric Configurations
4. 17.4 SCSM Formulation for Multi-Dielectric Media
5. 17.5 SCSM Formulation in 3D System
6. 17.6 Capacitive-Resistive Field Computation by SCSM
7. 17.7 SCSM Examples
8. Objective Type Questions
9. Bibliography
26. 18. Numerical Computation of Electric Field in High-Voltage System – Case Studies
1. 18.1 Introduction
2. 18.2 Benchmark Models for Validation
3. 18.3 Electric Field Distribution in the Cable Termination
4. 18.4 Electric Field Distribution around a Post-Type Insulator
5. 18.5 Electric Field Distribution in a Condenser Bushing
6. 18.6 Electric Field Distribution around a Gas-Insulated Substation Spacer
7. Objective Type Questions
8. Bibliography
27. 19. Electric Field Optimization
1. 19.1 Introduction
2. 19.2 Review of Published Works
3. 19.3 Field Optimization Using Contour Correction Techniques
1. 19.3.1 Insulator Contour Optimization by Simultaneous Displacement
2. 19.3.2 Electrode and Insulator Contour Correction with Approximation of Corrected Contour
3. 19.3.3 Parametric Optimization of Insulator Profile
4. 19.4 ANN-Based Optimization of Electrode and Insulator Contours
5. 19.5 ANN-Aided Optimization of 3D Electrode–Insulator Assembly
6. Objective Type Questions
7. References
28. Index

## Product Information

• Title: Electric Field Analysis
• Author(s): Sivaji Chakravorti
• Release date: December 2017
• Publisher(s): CRC Press
• ISBN: 9781351831161