.
×
Uh-oh, it looks like your Internet Explorer is out of date.
For a better shopping experience, please upgrade now.
139.99
In Stock
Overview
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.
Product Details
| ISBN-13: | 9783642836824 |
|---|---|
| Publisher: | Springer Berlin Heidelberg |
| Publication date: | 12/08/2011 |
| Series: | Topics in Boundary Element Research , #6 |
| Edition description: | Softcover reprint of the original 1st ed. 1989 |
| Pages: | 234 |
| Product dimensions: | 6.69(w) x 9.53(h) x 0.02(d) |
Table of Contents
1 Electrical and Electromagnetic Applications.- 1.1 Introduction.- 1.2 Electromagnetic Theory.- 1.2.1 Maxwell’s Equations.- 1.2.2 Electrokinetics.- 1.2.2.1 Hypothesis and Equations.- 1.2.3 Electrostatics.- 1.2.3.1 Hypothesis and Equations.- 1.2.4 Magnetostatics.- 1.2.4.1 Hypothesis and Equations.- 1.2.4.2 Interfaces.- 1.2.5 Magnetodynamics.- 1.2.5.1 Hypothesis and Equations.- 1.2.6 Discussion.- 1.3 BEM and Laplacian Potential (Electrokinetics, Electrostatics).- 1.3.1 Integral Equation and Discretization.- 1.3.2 Floating Potential Electrodes.- 1.3.3 Singular Points.- 1.3.4 Miscellaneous.- 1.3.4.1 Space Charge.- 1.3.4.2 Results.- 1.3.4.3 Capacitances.- 1.3.4.4 Forces.- 1.4 BEM and Magnetostatics.- 1.4.1 Homogeneous Unbounded Structures.- 1.4.2 Inhomogeneous Unbounded Structures.- 1.4.3 Miscellaneous.- 1.5 BEM and 2D-Magnetodynamics.- 1.6 Examples.- 1.6.1 3D-Analysis of a Potential Transformer.- 1.6.2 High Voltage Laboratory.- 1.6.3 X-Ray Tube.- 1.6.4 Conductors in a Ferromagnetic Slot.- 1.6.5 Rotating Arc Circuit Breaker.- 1.7 Conclusions.- References.- 2 Three-Dimensional Magnetostatic Field Analysis Vector Variables.- 2.1 Introduction.- 2.2 Basic Theory.- 2.2.1 Governing Equations.- 2.2.2 Uniqueness Conditions.- 2.3 Direct Integral Equation Formulations.- 2.4 Discretization of Boundary Surfaces and Variables.- 2.4.1 Interpolation of Normal Components.- 2.4.2 Interpolation of Tangential Components.- 2.5 Boundary Element Solution.- 2.5.1 Solution for the Flux Density.- 2.5.2 Solution for the Vector Potential.- 2.5.3 Example.- 2.6 Treatment of Kernel Singularities.- 2.7 Application to Interface Problems.- 2.7.1 Multi-region Formulation.- 2.7.2 Examples.- 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.- 3.2.1 Fundamental Equation.- 3.2.2 Relationship Between Vector Potential, Currents, and Terminal Voltage.- 3.2.3 Boundary Element Formulation.- 3.2.4 Formulation of Sinusoidal Time-varing Field.- 3.3 Recent Developments in Magnetic Field Problems.- 3.3.1 Eddy Current Problems.- 3.3.1.1 Fundamental Equation.- 3.3.1.2 Boundary Element Formulation.- 3.3.1.3 Numerical Results.- 3.3.2 Non-linear Problems.- 3.3.2.2 Boundary Integral Equation Expression.- 3.3.2.3 Expressing Method of Hysteresis Curve.- 3.3.2.4 Treatment of Equivalent Magnetizing Current Density.- 3.3.2.5 Consideration of External Power Source.- 3.3.2.6 Examples of Application.- 3.3.3 Moving Sensor Problem.- 3.3.3.1 Formulation of Problem.- 3.3.3.2 Finite Element Region.- 3.3.3.3 Boundary Element Region.- 3.3.3.4 Circuit Equation.- 3.3.3.5 Application to a Magnetic Sensor.- References.- 4 Boundary Element Methods for Eddy Current Problems.- 4.1 Introduction.- 4.2 Eddy Current and Induction Problems.- 4.2.1 Basic Electromagnetic Field Equations.- 4.2.2 The Quasi-Static Approximation.- 4.2.3 Magnetic Vector and Scalar Potentials.- 4.2.4 The Impedance Boundary Condition.- 4.2.5 Fundamental Solutions.- 4.3 Basic Boundary Element Formulations for Eddy Current Problems.- 4.3.1 Direct Formulations.- 4.3.1.1 The Reduced Singularity or Mueller-type Formulation.- 4.3.1.2 Direct Use of the Boundary Integral Equations.- 4.3.2 Indirect Formulations.- 4.4 Boundary Integral Methods for 3-Dimensional Eddy Current Problems.- 4.5 A Boundary Integral Method of Minimum Order.- 4.5.1 The Basic Boundary Integral Equations.- 4.5.1.1 The H-? Formulation.- 4.5.1.2 Virtual Source Distribution.- 4.5.1.3 Boundary Integral Equations for the Virtual Sources.- 4.5.2 Multiply Connected Systems.- 4.5.3 Field at any Point in the Domain ?3.- 4.5.3.1 Magnetic Field Intensity.- 4.5.3.2 Electric Field Intensity.- 4.6 Discretization of the Boundary Integral Equations.- 4.6.1 Discretization of the Surface Integral Equations.- 4.6.2 Parametric Representation of Geometry and Functions.- 4.7 Singularity Evaluation.- 4.7.1 Integral Evaluation in the Sense of Cauchy’s Principal Value.- 4.7.2 Computation of the Singular Integrals.- 4.7.3 Surface Magnetic Fields.- 4.8 Gauss Integration Methodology.- 4.8.1 Regular Sub-triangulation Scheme.- 4.8.2 Irregular Sub-triangulation Scheme.- 4.8.3 Test Results.- 4.8.3.1 Strongly Singular Integrals.- 4.8.3.2 Weakly Singular Integrals.- 4.8.3.3 Near Singular Integrals.- 4.9 Numerical Results for 3-D Eddy Current Problems.- 4.9.1 Conducting Sphere in a Uniform Time Harmonic Field.- 4.9.1.1 Problem Definition.- 4.9.1.2 Field Distribution.- 4.9.1.3 Power Loss.- 4.9.1.4 Effect of Gauss Integration Scheme.- 4.9.2 Finite Dimension Slab in a Uniform Time Harmonic Field.- 4.9.2.1 Problem Definition.- 4.9.2.2 Field Distribution.- 4.9.2.3 Treatment of the Singularity.- 4.9.3 Eddy Current Distribution in a Multiply Connected System.- 4.9.3.1 Problem Definition.- 4.9.3.2 Verification with Experimental Results.- 4.10 Conclusions.- 4.11 Appendix.- 4.11.1 Coefficients for the Boundary Integral Equations and the Magnetic Field Strength.- 4.11.2 Coefficients for the Electric Field Strength.- 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.- 5.3.1 Scalar Potential Model.- 5.3.2 Vector Potential Model.- 5.3.3 3D-Problems.- 5.3.4 Saturation Effects.- 5.4 Numerical Analysis.- 5.4.1 Non Saturable Region.- 5.4.2 Linear Elements.- 5.4.3 Quadratic Elements.- 5.4.4 Saturable Regions.- 5.4.5 First Order Triangular Element.- 5.4.6 Isoparametric Quadrilateral Element.- 5.4.7 3D-Non Saturable Regions.- 5.4.8 3D-Saturable Regions.- 5.5 System Resolution.- 5.6 Application.- 5.6.1 Data Preparation.- 5.6.2 Resolution Process.- 5.6.3 Results.- 5.6.4 Magnetic Flux Calculation.- 5.6.5 Forces and Torques.- 5.6.6 Internal Values.- 5.7 Conclusion.- References.- 6 Hybrid Finite Element/Boundary Analysis of Electromagnetic Fields.- 6.1 Introduction.- 6.2 Electrostatics.- 6.2.1 Two-Dimensional and Three-Dimensional Analysis.- 6.2.1.1 Finite Element Formulation.- 6.2.1.2 Boundary Element Formulation.- 6.2.1.3 Hybrid Formulation.- 6.2.2 Axisymmetric Analysis.- 6.2.2.1 Finite Element Formulation.- 6.2.2.2 Boundary Element Formulation.- 6.2.3 Electrostatic Examples.- 6.3 Magnetostatics.- 6.3.1 Two-Dimensional Analysis.- 6.3.1.1 Finite Element Formulation.- 6.3.1.2 Boundary Element Formulation.- 6.3.1.3 Non-linear Formulation.- 6.3.2 Axisymmetric Analysis.- 6.3.2.1 Finite Element Formulation.- 6.3.2.2 Boundary Element Formulation.- 6.3.3 Magnetostatic Examples.- 6.4 RF Field Analysis.- 6.4.1 Finite Element Formulation.- 6.4.2 Boundary Element Formulation.- 6.4.3 Hybrid Formulation.- 6.4.4 RF Examples.- 6.5 Conclusion.- References.- 7 Applications in the Analysis and Design of Electrical Machines.- 7.1 Introduction.- 7.2 General Electromagnetic Problems.- 7.2.1 The Electromagnetic Field Equations.- 7.2.1.1 The Vector and the Scalar Potentials.- 7.2.1.2 The Case of the Two-Dimensional Plane Domains.- 7.2.2 Magnetic Energy.- 7.2.2.1 The Vector Potential Solution.- 7.2.2.2 The Scalar Potential Solution.- 7.2.3 Electromagnetic Forces and Torques.- 7.2.4 The Machine Parameters.- 7.3 The Boundary Integral Relations and the Boundary Element Method for Magnetic Field Problems.- 7.3.1 Some Mathematical Relations.- 7.3.2 The Scalar Potential Formulation.- 7.3.3 The Vector Potential Formulation.- 7.3.4 The Particular Solution — Scalar Potential Formulation.- 7.4 The Application of the Boundary Element Technique in Primitive Electrical Machine Problems.- 7.4.1 The Scalar Potential Problem.- 7.4.1.1 The Scalar Potential Problem on Axis d.- 7.4.1.2 The Scalar Potential Problem on Axis q.- 7.4.1.3 The Magnetic Energy and Electromagnetic Torque in the Scalar Potential Problem.- 7.4.2 The Vector Potential Solution.- 7.4.2.1 The Vector Potential Problem on Axis d.- 7.4.2.2 The Vector Potential Problem on Axis q.- 7.4.2.3 The Magnetic Energy and Electromagnetic Torque in the Vector Potential Problem.- 7.4.2.4 Conclusions.- 7.5 Calculation of the Magnetic Field and Parameters of Brushless D. C. Motors with Ceramic Permanent Magnets. The 2D-Problem.- 7.5.1 Calculation of Field Distribution Produced by the Stator Current, the Machine Parameters.- 7.5.1.1 The d-axis Problem.- 7.5.1.2 The q-axis Problem.- 7.5.2 The Electromagnetic Torque.- 7.6 Magnetic Field Computation in the D.C. Cylinder Type Brushless Servomotors Using the 3D-BEM.- References.Customer Reviews
Related Searches
Explore More Items
As well as highlighting potentially useful applications for network analysis, this volume identifies new targets ...
As well as highlighting potentially useful applications for network analysis, this volume identifies new targets
for mathematical research that promise to provide insights into network systems theory as well as facilitating the cross-fertilization of ideas between sectors. Focusing on financial, ...
Recent progress in the synthesis of nanomaterials and our fundamental understanding of their properties has ...
Recent progress in the synthesis of nanomaterials and our fundamental understanding of their properties has
led to significant advances in nanomaterial-based gas, chemical and biological sensors. Leading experts around the world highlight the latest findings on a wide range of ...
Readers intent on mastering the basics should start by reading the first few overview chapters ...
Readers intent on mastering the basics should start by reading the first few overview chapters
and then delve into the descriptions of specific current applications to see how they actually work. Important future applications are also outlined, including information storage, ...
Including an introduction and historical overview of the field, this comprehensive synthesis of the major ...
Including an introduction and historical overview of the field, this comprehensive synthesis of the major
biophysical applications of satellite remote sensing includes in-depth discussion of satellite-sourced biophysical metrics such as leaf area index.
This volume examines all aspects of carbon and oxide based nanostructured materials, covering synthesis, modeling ...
This volume examines all aspects of carbon and oxide based nanostructured materials, covering synthesis, modeling
and characterization of carbon nanotubes, fullerenes, metal oxides, ferrites, garnets, and magnetic materials, and their practical applications.
This book provides a general formalism for the calculation of the spectral correlation function for ...
This book provides a general formalism for the calculation of the spectral correlation function for
the fluctuating electromagnetic field. The procedure is applied to the radiative heat transfer and the van der Waals friction using both the semi-classical theory of ...
This monograph treats an extensively developed field in modern mathematical physics - the theory of ...
This monograph treats an extensively developed field in modern mathematical physics - the theory of
generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for ...
With very few exceptions, geodetic measurements use electro magnetic radiation in order to measure directions, ...
With very few exceptions, geodetic measurements use electro magnetic radiation in order to measure directions,
distances, time delays, and Doppler frequency shifts, to name the main ter restrial and space observables. Depending on the wavelength of the radiation and the ...