Design Sensitivity Analysis and Optimization of Electromagnetic Systems
Springer Verlag, Singapore
978-981-13-0229-9 (ISBN)
The book also introduces the recent breakthrough of the topology optimization method, which is accomplished by coupling the level set method and continuum design sensitivity. This topology optimization method enhances the possibility of the global minimum with minimised computational time, and in addition the evolving shapes during the iterative design process are easily captured in the level set equation. Moreover, since the optimization algorithm is transformed into a well-known transient analysis algorithm for differential equations, its numerical implementation becomes very simple and convenient.
Despite the complex derivation processes and mathematical expressions, the obtained sensitivity formulas are very straightforward for numerical implementation. This book provides detailed explanation of the background theory and the derivation process, which will help readers understand the design method and will set the foundation for advanced research in the future.
Il-Han Park (PhD Seoul National University) is a Professor in the department of Electronic and Electrical Engineering at Sungkyunkwan University. His main interests are in optimization and numerical analysis of electromagnetic systems. His optimization method is based on the design sensitivity analysis for the shape and topology design, and the numerical analysis is focused on the multi-physics electromagnetic problems coupled with the mechanical systems; deformation, dynamics, fluidics, heat transfer.
1. Introduction.- 1.1 Optimal Design Process.- 1.2 Design Steps of Electromagnetic System.- 1.3 Design Variables.- 1.4 Equations and Characteristics of Electromagnetic Systems.- 1.5 Design Sensitivity Analysis.- 2. Variational Formulation of Electromagnetic Systems.- 2.1 Variational Formulation of Electrostatic System.- 2.2 Variational Formulation of Magnetostatic System.- 2.3 Variational Formulation of Eddy Current System.- 2.4 Variational Formulation of DC Conductor System.- 3. Continuum Shape Design Sensitivity of Electrostatic System.- 3.1 Material Derivative and Formula.- 3.2 Shape Sensitivity of Outer Boundary.- 3.3 Shape Sensitivity of Outer Boundary for System Energy.- 3.4 Shape Sensitivity of Interface.- 3.5 Shape Sensitivity of Interface for System Energy.- 4. Continuum Shape Design Sensitivity of Magnetostatic System.- 4.1 Interface Shape Sensitivity.- 4.2 Interface Shape Sensitivity for System Energy.- 5. Continuum Shape Design Sensitivity of Eddy Current System.- 5.1 Interface Shape Sensitivity.- 5.2 Interface Shape Sensitivity for System Power.- 6. Continuum Shape Design Sensitivity of DC Conductor System.- 6.1 Shape Sensitivity of Outer Boundary.- 6.2 Shape Sensitivity of Outer Boundary for Joule loss power.- 7. Level Set Method and Continuum Sensitivity.- 7.1 Level Set Method.- 7.2 Coupling of Continuum Sensitivity and Level Set Method.- 7.3 Numerical Considerations.- 8. Hole and Dot Sensitivity for Topology Optimization.- 8.1 Hole Sensitivity.- 8.2 Dot Sensitivity.- Appendix A. More Examples of Electrostatic System.- Appendix B. More Examples of Magnetostatic System.- Appendix C. More Examples of Eddy Current System.- Appendix D. More Examples of DC Conductor System.
| Erscheinungsdatum | 18.09.2018 |
|---|---|
| Reihe/Serie | Mathematical and Analytical Techniques with Applications to Engineering |
| Zusatzinfo | 203 Illustrations, black and white; XVI, 368 p. 203 illus. |
| Verlagsort | Singapore |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
| Technik ► Elektrotechnik / Energietechnik | |
| ISBN-10 | 981-13-0229-4 / 9811302294 |
| ISBN-13 | 978-981-13-0229-9 / 9789811302299 |
| Zustand | Neuware |
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