Electrical Engineering Applications

The application of BEM in all fields of engineering and science has progressed at an accelerate rate since the first book on the method appeared in the late seventies. In particular the advantages of BEM for potential problems are essential to solve a whole range of electrical engineering problems. Previous volumes in this series have focussed on the state of the art in other fields while this volume discusses only problems related to electrical engineering. The book reviews a series of important applications such as the design of semiconductor devices and their thermal analysis. The following two chapters concentrate on the study of galvanic corrosion and cathodic protection. Chapter 4 deals with the design of capacitance transducers. The next three chapters concentrate on the applications of the method to simulate electrochemical problems with special reference to Plating Process. The last chapter in the book discusses the case of inverse problems in electrical engineering and presents some applications including their use in tomography.

1 Semiconductor Device Analysis.- 1.1 Introduction.- 1.2 The Basic Semiconductor Equations.- 1.3 Two Well Known Approximations.- 1.4 A Particular Application: The MOS Transistor.- 1.5 Some Further Applications.- 1.6 Conclusion.- References.- 2 Thermal Analysis of Semiconductor Devices.- 2.1 Introduction.- 2.2 Review of Previous Works.- 2.3 The Boundary Element Method.- 2.4 Applications.- Summary.- Acknowledgement.- References.- 3 Applications of Boundary Elements in Corrosion Engineering.- 3.1 Introduction.- 3.2 Prediction Techniques.- 3.3 Theoretical Foundations of Cathodic Protection and Galvanic Corrosion.- 3.4 Mathematical Aspects.- 3.5 Electrode Kinetics.- 3.6 Coupling of the System.- 3.7 Polarisation.- 3.8 Systems Approach.- 3.9 Example 1: Comparison of BE Results with Cathodic Protection Experiment on a Plate.- 3.10 Example 2: Cathodic Protection of Underground Pipelines.- 3.11 Example 3: Analysis of Galvanic Corrosion (A Comparison with FE Analysis).- 3.12 Example 4: Analysis of a Galvanic Corrosion Due to a Chemical Cleaning Process.- 3.13 Example 5: Analysis of a Jacket Type Offshore Platform.- 3.14 Conclusions.- Acknowledgements.- References.- 4 Application of BEM to Galvanic Corrosion and Cathodic Protection.- 4.1 Introduction.- 4.2 Electrochemical Aspects.- 4.3 Mathematical Model.- 4.4 Boundary Element Formulation.- 4.5 Iterative Solution Procedures.- 4.6 Infinite Problems.- 4.7 Applications.- 4.8 Concluding Remarks.- Acknowledgements.- References.- 5 Capacitance of Transducers for Displacement Measurement.- 5.1 Introduction.- 5.2 Calculation of Capacitance by the Boundary Element Method.- 5.3 Numerical Results.- 5.4 Experimental Results.- 5.5 Conclusions.- Acknowledgement.- References.- 6 Electroplating.- 6.1 Introduction.- 6.2 Mathematical Formulation.- 6.3 Boundary Element Formulation.- 6.4 Solution of the Nonlinear System.- 6.5 Development of a One-dimensional Model.- 6.6 Numerical Examples.- 6.7 Conclusions.- Acknowledgement.- References.- 7 Simulation of an Electrochemical Plating Process.- 7.1 Introduction.- 7.2 Equations.- 7.3 Boundary Element Method.- 7.4 Experiment.- 7.5 Results.- 7.6 Conclusions.- Acknowledgements.- References.- 8 Electrochemical Cell Design.- 8.1 Introduction.- 8.2 Fundamental Equations.- 8.3 Boundary Conditions.- 8.4 Types of Distributions, the Wagner Number.- 8.5 Electrode Shape Change and Moving Boundaries.- 8.6 Solution of the Potential Model.- 8.7 Solution of Electrode Shape Changes.- References.- 9 Inverse Problems and Some Applications.- 9.1 Introduction.- 9.2 Fields of Application of Inverse Problems.- 9.3 Application of Boundary Element Methods.- 9.4 Numerical Simulation.- 9.5 Improvement of the Boundary Determination Capability.- References.