Boundary Element Methods for Electrical Engineers
Published on 14. June 2005
Book
Hardback
208 pages
978-1-84564-033-0 (ISBN)
Description
In the last couple of decades the Boundary Element Method (BEM) has become a well-established technique that is widely used for solving various problems in electrical engineering and electromagnetics. Although there are many excellent research papers published in the relevant literature that describe various BEM applications in electrical engineering and electromagnetics, there has been a lack of suitable textbooks and monographs on the subject. This book presents BEM in a simple fashion in order to help the beginner to understand the very basic principles of the method. It initially derives BEM for the simplest potential problems and subsequently builds on these to formulate BEM for a wide range of applications in electromagnetics. The book aims to introduce both undergraduate and graduate students to the BEM fundamentals in a way that enables the reader to solve more complex problems on their own. In addition, it will serve as a useful text to enable professional engineers and research students to make full use of BEM in electrical engineering.
More details
Series
Language
English
Place of publication
Southampton
United Kingdom
Target group
Professional and scholarly
Illustrations
Illustrations
Dimensions
Height: 230 mm
Width: 155 mm
ISBN-13
978-1-84564-033-0 (9781845640330)
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Schweitzer Classification
Content
Chapter 1: Introduction to the Boundary Element Method Chapter 2: Approximate Methods Basic concepts; Approximate solutions; Weak formulations Chapter 3: Basic laws in electromagnetics Differential form of Maxwell equations; Integral form of Maxwell equations; Maxwell equations for moving media; The continuity equation; Ohm'slaw; Conservation law in the electromagnetic field; The electromagnetic wave equations; Boundary relationships for discontinuities in material properties; The electromagnetic potentials; Boundary relationships for potential functions; Potential wave equations; Retarded potentials; General boundary conditions and uniqueness theorem; Electric and magnetic walls; The Lagrangian form of electromagnetic field laws; Complex phasor notation of time-harmonic electromagnetic fields; Plane wave propagation; Radiation Chapter 4: Potential problems - electrostatic and magnetostatic analysis Electrostatic fields; Magnetostatic fields; Integral equation formulation; Boundary element discretization; Modelling of static field problems Chapter 5: Quasistatic problems - analysis of eddy currents Introduction; Formulation of the quasistatic problem; Integral equation representation of the Helmholtz equation; Numerical example Chapter 6: Electromagnetic scattering problems The electromagnetic wave equations; Complex phasor form of the wave equations; Two-dimensional scattering from a perfectly conducting cylinder of arbitrary cross-section; Solution by the Indirect Boundary Element Method; Numerical example Chapter 7: Radiation problems - analysis of wire antennas Introduction; Basic theory of wire antennas; Indirect boundary element modeling; Computational examples for wires in free space; Multiple straight wire antennas over a lossy half-space; Computational examples for wires above a lossy half-space Chapter 8: Assessment of human exposure to electromagnetic fields Introduction; Electromagnetic model of the human body; Absorbed power inside the human body for LF and HF exposures; The low frequency fields (ELF and VLF exposures); The high frequency fields (RE and GSM exposures); Examples of human exposure to LF and RE fields