Design Sensitivity Analysis and Optimization of Electromagnetic Systems
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Design Sensitivity Analysis and Optimization of Electromagnetic Systems

Design Sensitivity Analysis and Optimization of Electromagnetic Systems


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About the Book

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. 1.4.1 Maxwell's Equations and Governing Equations. 1.4.2 Characteristics of Electromagnetic Systems. 1.5 Design Sensitivity Analysis. 1.5.1 Finite Difference Method. 1.5.2 Discrete Method. 1.5.3 Continuum Method.


2. Variational Formulation of Electromagnetic Systems. 2.1 Variational Formulation of Electrostatic System. 2.1.1 Differential State Equation. 2.1.2 Variational State Equation. 2.2 Variational Formulation of Magnetostatic System. 2.2.1 Differential State Equation. 2.2.2 Variational State Equation. 2.3 Variational Formulation of Eddy Current System. 2.3.1 Differential State Equation. 2.3.2 Variational State Equation. 2.4 Variational Formulation of DC Conductor System. 2.4.1 Differential State Equation. 2.4.2 Variational State Equation.


3. Continuum Shape Design Sensitivity of Electrostatic System. 3.1 Material Derivative and Formula. 3.1.1 Material Derivative. 3.1.2 Material Derivative Formula. 3.2 Shape Sensitivity of Outer Boundary. 3.2.1 Problem Definition and Objective Function. 3.2.2 Lagrange Multiplier Method for Sensitivity Derivation. 3.2.3 Adjoint Variable Method for Sensitivity Analysis. 3.2.4 Boundary Expression of Shape Sensitivity. 3.2.5 Analytical Example. 3.2.6 Numerical Examples. 3.3 Shape Sensitivity of Outer Boundary for System Energy. 3.3.1 Problem Definition. 3.3.2 Lagrange Multiplier Method for Energy Sensitivity. 3.3.3 Adjoint Variable Method for Sensitivity Analysis. 3.3.4 Boundary Expression of Shape Sensitivity. 3.3.5 Source Condition and Capacitance Sensitivity. 3.3.6 Analytical Example. 3.3.7 Numerical Examples. 3.4 Shape Sensitivity of Interface. 3.4.1 Problem Definition and Objective Function. 3.4.2 Lagrange Multiplier Method for Sensitivity Derivation. 3.4.3 Adjoint Variable Method for Sensitivity Analysis. 3.4.4 Boundary Expression of Shape Sensitivity. 3.4.5 Analytical Example. 3.4.6 Numerical Example. 3.5 Shape Sensitivity of Interface for System Energy. 3.5.1 Problem Definition. 3.5.2 Lagrange Multiplier Method for Energy Sensitivity. 3.5.3 Adjoint Variable Method for Sensitivity Analysis. 3.5.4 Boundary Expression of Shape Sensitivity. 3.5.5 Source Condition and Capacitance Sensitivity. 3.5.6 Analytical Example. 3.5.7 Numerical Examples.

4. Continuum Shape Design Sensitivity of Magnetostatic System. 4.1 Interface Shape Sensitivity. 4.1.1 Problem Definition and Objective Function. 4.1.2 Lagrange Multiplier Method for Sensitivity Derivation. 4.1.3 Adjoint Variable Method for Sensitivity Analysis. 4.1.4 Boundary Expression of Shape Sensitivity. 4.1.5 Interface Problems. 4.1.6 Analytical Example. 4.1.7 Numerical Examples. 4.2 Interface Shape Sensitivity for System Energy. 4.2.1 Problem Definition. 4.2.2 Lagrange Multiplier Method for Energy Sensitivity. 4.2.3 Adjoint Variable Method for Sensitivity Analysis. 4.2.4 Boundary Expression of Shape Sensitivity. 4.2.5 Interface Problems. 4.2.6 Source Condition and Inductance Sensitivity. 4.2.7 Analytical Examples. 4.2.8 Numerical Examples.

5. Continuum Shape Design Sensitivity of Eddy Current System. 5.1 Interface Shape Sensitivity. 5.1.1 Problem Definition and Objective Function. 5.1.2 Lagrange Multiplier Method for Sensitivity Derivation. 5.1.3 Adjoint Variable Method for Sensitivity Analysis. 5.1.4 Boundary Expression of Shape Sensitivity. 5.1.5 Interface Problems. 5.1.6 Numerical Examples.
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.


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Product Details
  • ISBN-13: 9789811302299
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 1st ed. 2019
  • Language: English
  • Returnable: Y
  • Spine Width: 22 mm
  • Width: 156 mm
  • ISBN-10: 9811302294
  • Publisher Date: 11 Sep 2018
  • Binding: Hardback
  • Height: 234 mm
  • No of Pages: 368
  • Series Title: Mathematical and Analytical Techniques with Applications to
  • Weight: 766 gr


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