Solin / Dolezel / Karban Integral Methods in Low-Frequency Electromagnetics

1. Auflage 2009
ISBN: 978-0-470-50272-3
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 416 Seiten, E-Book

A modern presentation of integral methods in low-frequencyelectromagnetics
This book provides state-of-the-art knowledge on integralmethods in low-frequency electromagnetics. Blending theory withnumerous examples, it introduces key aspects of the integralmethods used in engineering as a powerful alternative to PDE-basedmodels. Readers will get complete coverage of:
* The electromagnetic field and its basic characteristics
* An overview of solution methods
* Solutions of electromagnetic fields by integral expressions
* Integral and integrodifferential methods
* Indirect solutions of electromagnetic fields by the boundaryelement method
* Integral equations in the solution of selected coupledproblems
* Numerical methods for integral equations
All computations presented in the book are done by means of theauthors' own codes, and a significant amount of their own resultsis included. At the book's end, they also discuss novel integraltechniques of a higher order of accuracy, which are representativeof the future of this rapidly advancing field.
Integral Methods in Low-Frequency Electromagnetics is ofimmense interest to members of the electrical engineering andapplied mathematics communities, ranging from graduate students andPhD candidates to researchers in academia and practitioners inindustry.

Autoren/Hrsg.

Solin, Pavel

Dolezel, Ivo

Karban, Pavel

Ulrych, Bohus

Inhaltsverzeichnis

List of Figures.
List of Tables.
Preface.
Acknowledgments.
1 Electromagnetic Field and their BasicCharacteristics.
1.1 Fundamentals.
1.2 Potentials.
1.3 Mathematical models of electromagnetic fields.
1.4 Energy and forces in electromagnetic fields.
1.5 Power balance in electromagnetic fields.
2 Overview of Solution Methods.
2.1 Continuous models in electromagnetism.
2.2 Methods of solution of the continuous models.
2.3 Classification of the analytical methods.
2.4 Numerical methods and their classification.
2.5 Differential methods.
2.6 Finite element method.
2.7 Integral and integrodifferential methods.
2.8 Important mathematical aspects of numerical methods.
2.9 Numerical schemes for parabolic equations.
3 Solution of Electromagnetic Fields by IntegralExpressions.
3.1 Introduction.
3.2 1D integration area.
3.3 2D integration area.
3.4 Forces acting in the system of long massive conductors.
3.5 3D integration area.
4 Integral and Integrodifferential Methods.
4.1 Integral versus differential models.
4.2 Theoretical foundations.
4.3 Static and harmonic problems in one dimension.
4.4 Static and harmonic problems in two dimensions.
4.5 Static problems in three dimensions.
4.6 Time-dependent eddy current problems in onedimension and two dimensions.
4.7 Static and 2D eddy current problems with motion.
5 Indirect Solution of Electromagnetic Fields by the BoundaryElement Method.
5.1 Introduction.
5.2 BEM-based solution of differential equations.
5.3 Problems with 1D integration area.
6 Integral Equations in Solution of Selected CoupledProblems.
6.1 Continual induction heating of nonferrous cylindricalbodies.
6.2 Induction heating of a long nonmagnetic cylindrical billetrotating in uniform magnetic field.
6.3 Pulsed Induction Accelerator.
7 Numerical Methods for Integral Equations.
7.1 Introduction.
7.2 Collocation methods.
7.3 Galerkin methods.
7.4 Numerical example.
Appendix A: Basic Mathematical Tools.
A.1 Vectors, matrices, systems of linear equations.
A.2 Vector analysis.
Appendix B: Special Functions.
B.1 Bessel functions.
B.2 Elliptic integrals.
B.3 Special polynomials.
Appendix C: Integration Techniques.
C.1 Analytical calculations of some integrals over typicalelements.
C.2 Techniques of numerical integration.
References.
Topic Index.

Über Autor(innen)

Ivo Dolezel is Full Professor at the Czech TechnicalUniversity (CTU) in Prague and Senior Researcher at the Instituteof Thermomechanics of the Academy of Sciences of the CzechRepublic. His professional interests are in the numericalsimulation of electromagnetic fields with particular emphasis onpower applications, coupled problems, special electrical machines,and electromagnetic compatibility.
Pavel Karban is Assistant Professor at the Department ofTheory of Electrical Engineering at the University of West Bohemiain Pilsen. His research interests include computationalelectromagnetics, particularly differential and integral models oflow-frequency magnetic fields and coupled problems.
Pavel Solin is Associate Professor at the University ofNevada, Reno, and Senior Researcher at the Institute ofThermomechanics of the Academy of Sciences of the Czech Republic,Prague. His professional interests are aimed at modern adaptivehigher-order finite element methods (hp-FEM) and higher-ordermethods for integral equations, with applications to multi-scalemulti-physics-coupled problems in various areas of engineering andscience.