Electromagnetic Applications

General Applications of BEM to electromagnetic problems are comparatively new although the method is ideally suited to solve these problems, which usually involve unbounded domains. The present volume comprises contributions by eminent researchers working on applications of boundary elements in electromagnetic problems. The volume deals with the solutions of Maxwell's equation for three-dimensional as well as two-dimensional cases. It also discusses combination of BEM with FEM particularly in the case of saturated media. Some chapters specifically deal with the design of electromagnetic devices. The book is essential reading to those engineers and scientists, who are interested in the state of the art for electrical and electromagnetic application of boundary elements. It is also an important reference for those engineers who are working on the design of electromagnetic components many of which can be advantageously carried out using BEM.

1 Electrical and Electromagnetic Applications.- 1.1 Introduction.- 1.2 Electromagnetic Theory.- 1.3 BEM and Laplacian Potential (Electrokinetics, Electrostatics).- 1.4 BEM and Magnetostatics.- 1.5 BEM and 2D-Magnetodynamics.- 1.6 Examples.- 1.7 Conclusions.- References.- 2 Three-Dimensional Magnetostatic Field Analysis Vector Variables.- 2.1 Introduction.- 2.2 Basic Theory.- 2.3 Direct Integral Equation Formulations.- 2.4 Discretization of Boundary Surfaces and Variables.- 2.5 Boundary Element Solution.- 2.6 Treatment of Kernel Singularities.- 2.7 Application to Interface Problems.- 2.8 Conclusion.- References.- 3 Electromagnetical Problems Taking Into Account External Power Sources.- Summary.- 3.1 Introduction.- 3.2 Boundary Element Formulations of Magnetic Field Problems.- 3.3 Recent Developments in Magnetic Field Problems.- References.- 4 Boundary Element Methods for Eddy Current Problems.- 4.1 Introduction.- 4.2 Eddy Current and Induction Problems.- 4.3 Basic Boundary Element Formulations for Eddy Current Problems.- 4.4 Boundary Integral Methods for 3-Dimensional Eddy Current Problems.- 4.5 A Boundary Integral Method of Minimum Order.- 4.6 Discretization of the Boundary Integral Equations.- 4.7 Singularity Evaluation.- 4.8 Gauss Integration Methodology.- 4.9 Numerical Results for 3-D Eddy Current Problems.- 4.10 Conclusions.- 4.11 Appendix.- References.- 5 The Use of Boundary Element Finite Element Coupling Method in Electrical Engineering.- 5.1 List of Symbols.- 5.2 Field Problems in Electrical Engineering.- 5.3 Governing Equations.- 5.4 Numerical Analysis.- 5.5 System Resolution.- 5.6 Application.- 5.7 Conclusion.- References.- 6 Hybrid Finite Element/Boundary Analysis of Electromagnetic Fields.- 6.1 Introduction.- 6.2 Electrostatics.- 6.3 Magnetostatics.- 6.4 RFField Analysis.- 6.5 Conclusion.- References.- 7 Applications in the Analysis and Design of Electrical Machines.- 7.1 Introduction.- 7.2 General Electromagnetic Problems.- 7.3 The Boundary Integral Relations and the Boundary Element Method for Magnetic Field Problems.- 7.4 The Application of the Boundary Element Technique in Primitive Electrical Machine Problems.- 7.5 Calculation of the Magnetic Field and Parameters of Brushless D. C. Motors with Ceramic Permanent Magnets. The 2D-Problem.- 7.6 Magnetic Field Computation in the D.C. Cylinder Type Brushless Servomotors Using the 3D-BEM.- References.