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1st Edition

Electric Field Analysis




ISBN 9781482233360
Published March 16, 2015 by CRC Press
568 Pages - 261 B/W Illustrations

 
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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.

Table of Contents

Fundamentals of Electric Field
Introduction
Electric Charge
Electric Fieldlines
Coulomb’s Law
Electric Field Intensity
Electric Flux and Electric Flux Density
Electric Potential
Field due to Point Charge
Field due to a Uniformly Charged Line
Field due to a Uniformly Charged Ring
Field due to a Uniformly Charged Disc
Objective Type Questions
Bibliography
Gauss’s Law and Related Topics
Introduction
Useful Definitions and Integrals
Integral Form of Gauss’s Law
Differential Form of Gauss’s Law
Divergence Theorem
Poisson’s and Laplace’s Equations
Field due to a Continuous Distribution of Charge
Steps to Solve Problems Using Gauss’s Law
Objective Type Questions
Orthogonal Coordinate Systems
Basic Concepts
Cartesian Coordinate System
Cylindrical Coordinate System
Spherical Coordinate System
Generalized Orthogonal Curvilinear Coordinate System
Vector Operations
Objective Type Questions
Single-Dielectric Configurations
Introduction
Displacement Current
Parallel Plate Capacitor
Energy Stored in Electric Field
Two Concentric Spheres with Homogeneous Dielectric
Two Co-Axial Cylinders with Homogeneous Dielectric
Field Factor
Objective Type Questions
Dielectric Polarization
Introduction
Field due to an Electric Dipole and Polarization Vector
Polarizability
Field due to a Polarized Dielectric
Electric Displacement Vector
Classification of Dielectrics
Frequency Dependence of Polarizabilities
Mass-Spring Model of Fields in Dielectrics
Dielectric Anisotropy
Objective Type Questions
Electrostatic Boundary Conditions
Introduction
Boundary Conditions between a Perfect Conductor and a Dielectric
Boundary Conditions between Two Different Dielectric Media
Objective Type Questions
Multi-Dielectric Configurations
Introduction
Parallel Plate Capacitor
Co-Axial Cylindrical Configurations
Objective Type Questions
Electrostatic Pressures on Boundary Surfaces
Introduction
Mechanical Pressure on a Conductor-Dielectric Boundary
Mechanical Pressure on a Dielectric-Dielectric Boundary
Two Dielectric Media in Series between a Parallel Plate Capacitor
Two Dielectric Media in Parallel between a Parallel Plate Capacitor
Objective Type Questions
Method of Images
Introduction
Image of a Point Charge with Respect to an Infinitely Long Conducting Plane
Image of a Point Charge with Respect to a Grounded Conducting Sphere
Image of an Infinitely Long Line Charge with Respect to an Infinitely Long Conducting Plane
Two Infinitely Long Parallel Cylinders
Salient Features of Method of Images
Objective Type Questions
Sphere or Cylinder in Uniform External Field
Introduction
Sphere in Uniform External Field
Cylinder in Uniform External Field
Objective Type Questions
Conformal Mapping
Introduction
Basic Theory of Conformal Mapping
Concept of Complex Potential
Procedural Steps in Solving Problems Using Conformal Mapping
Applications of Conformal Mapping in Electrostatic Potential Problems
Objective Type Questions
Graphical Field Plotting
Introduction
Experimental Field Mapping
Field Mapping Using Curvilinear Squares
Field Mapping in Multi-Dielectric Media
Field Mapping in Axi-Symmetric Configuration
Objective Type Questions
Bibliography
Numerical Computation of Electric Field
Introduction
Methods of Determination of Electric Field Distribution
Uniqueness Theorem
Procedural Steps in Numerical Electric Field Computation
Objective Type Questions
Numerical Computation of High-Voltage Field by Finite Difference Method
Introduction
FDM Equations in 3D System for Single-Dielectric Medium
FDM Equations in Axi-Symmetric System for Single-Dielectric Medium
FDM Equations in 3D System for Multi-Dielectric Media
FDM Equations in Axi-Symmetric System for Multi-Dielectric Media
Simulation Details
FDM Examples
Objective Type Questions
Bibliography
Numerical Computation of High-Voltage Field by Finite Element Method
Introduction
Basics of FEM
Procedural Steps in FEM
Variational Approach towards FEM Formulation
Features of Discretization in FEM
Solution of System of Equations in FEM
Advantages of FEM
FEM Examples
Objective Type Questions
Bibliography
Numerical Computation of High-Voltage Field by Charge Simulation Method
Introduction
CSM Formulation for Single-Dielectric Medium
CSM Formulation for Multi-Dielectric Media
Types of Fictitious Charges
CSM with Complex Fictitious Charges
Capacitive-Resistive Field Computation by CSM
Field Computation by CSM under Transient Voltage
Accuracy Criteria
Other Development in CSM
Comparison of CSM with FEM
Hybrid Method Involving CSM and FEM
CSM Examples
Objective Type Questions
Bibliography
Numerical Computation of High-Voltage Field by Surface Charge Simulation Method
Introduction
SCSM Formulation for Single-Dielectric Medium
Surface Charge Elements in 2D and Axi-Symmetric Configurations
SCSM Formulation for Multi-Dielectric Media
SCSM Formulation in 3D System
Capacitive-Resistive Field Computation by SCSM
SCSM Examples
Objective Type Questions
Bibliography
Numerical Computation of Electric Field in High-Voltage System - Case Studies
Introduction
Benchmark Models for Validation
Electric Field Distribution in the Cable Termination
Electric Field Distribution around a Post-Type Insulator
Electric Field Distribution in a Condenser Bushing
Electric Field Distribution around a Gas-Insulated Substation Spacer
Objective Type Questions
Bibliography
Electric Field Optimization
Introduction
Review of Published Works
Field Optimization Using Contour Correction Techniques
ANN-Based Optimization of Electrode and Insulator Contours
ANN-Aided Optimization of 3D Electrode-Insulator Assembly
Objective Type Questions
References

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Author(s)

Biography

Sivaji Chakravorti holds bachelor’s, master’s, and Ph.D degrees from Jadavpur University, Kolkata, India. Dr. Chakravorti has nearly 30 years of teaching experience and is currently a full professor in electrical engineering at Jadavpur University, where he teaches electric field analysis at the undergraduate and postgraduate levels. Previously, he worked in various capacities at the Indian Institute of Science, Bangalore; Technical University of Munich, Germany; Siemens AG, Berlin, Germany; ABB Corporate Research, Ladenburg, Germany; Advanced Research Institute of Virginia Tech, Alexandria, USA; and Technical University Hamburg-Harburg, Germany. Dr. Chakravorti is highly decorated, widely published, and an active member of IEEE.

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Author - Sivaji  Chakravorti
Author

Sivaji Chakravorti

Professor in Electrical Engineering, Jadavpur University, Kolkata, India (Among the top five universities in India)
Kolkata, West Bengal, India

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Reviews

"… very useful to teachers and students in classes on applications of the theory, numerical analyses, and practice of using the electric field for practical electric power applications that benefit mankind, such as avoiding electrical breakdown in high-voltage systems. … The book begins at the senior undergraduate level in developing the fundamentals of electric field physics and applications, … [and] then continues on to advanced numerical methods valuable to graduate students and practitioners."
—Markus Zahn, Massachusetts Institute of Technology, Cambridge, USA

"… gives clear and precise description of the state of the art in electric field analysis. … the book comes along with software for the computation of capacitive as well as capacitive-resistive electric fields."
Prof. Dr.-Ing. Josef Kindersberger, Technische Universität München, Institute for High Voltage Engineering and Switchgear Technology

"A unique book for understanding electric fields and its computation with particular emphasis to problems and configurations typically encountered by high voltage engineers while designing and building power apparatus and electric insulation systems. The coverage is comprehensive, up to date, and spans the entire spectrum thus making it an ideal book for both undergraduate and graduate students."
—Professor L. Satish, HV Lab, Dept of Electrical Engineering, Indian Institute of Science, Bangalore

"This is a very intriguing book, because it adds a great deal of practical insight into otherwise cold and lifeless equations and theory. It was a pleasure to review it and enjoy many of the applied examples using the theory presented in the first part of the book."
IEEE Electrical Insulation Magazine, May/June 2016

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