Overview
- Meets the needs of practising engineers, describing design sensitivity analysis theory, along with numerical methods and design examples
- Includes an introduction to the recently-developed topology optimization method
- Aims to describe the fundamental design method and set the foundation for advanced research in the future
- Addresses both engineers who are interested in applications and theoretically-inclined advanced students
Part of the book series: Mathematical and Analytical Techniques with Applications to Engineering (MATE)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
- Electromagnetic Field Analysis
- Discrete Design Sensitivity Analysis
- Continuum Design Sensitivity in Electromagnetics
- Continuum Design Sensitivity in Magnetostatics
- Continuum Design Sensitivity in Eddy Current System
- Shape Optimization with Level Set Method
- Topology Optimization Method
- Optimization of Electromagnetic Systems
- Electromagnetic System Design
- Governing Equation in Variational Form
- Sensitivity in Complex Variable System
- Voltage-Source Problem
- Level Set Method and Velocity Field
- Pseudo-Time Transient Analysis
About this book
This book presents a comprehensive introduction to design sensitivity analysis theory as applied to electromagnetic systems. It treats the subject in a unified manner, providing numerical methods and design examples. The specific focus is on continuum design sensitivity analysis, which offers significant advantages over discrete design sensitivity methods. Continuum design sensitivity formulas are derived from the material derivative in continuum mechanics and the variational form of the governing equation. Continuum sensitivity analysis is applied to Maxwell equations of electrostatic, magnetostatic and eddy-current systems, and then the sensitivity formulas for each system are derived in a closed form; an integration along the design interface.
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.
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Design Sensitivity Analysis and Optimization of Electromagnetic Systems
Authors: Il Han Park
Series Title: Mathematical and Analytical Techniques with Applications to Engineering
DOI: https://doi.org/10.1007/978-981-13-0230-5
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2019
Hardcover ISBN: 978-981-13-0229-9Published: 11 September 2018
Softcover ISBN: 978-981-13-4364-3Published: 23 December 2018
eBook ISBN: 978-981-13-0230-5Published: 27 August 2018
Series ISSN: 1559-7458
Series E-ISSN: 1559-7466
Edition Number: 1
Number of Pages: XVI, 368
Number of Illustrations: 203 b/w illustrations
Topics: Electronics and Microelectronics, Instrumentation, Continuous Optimization, Power Electronics, Electrical Machines and Networks