Design Sensitivity Analysis and Optimization of Electromagnetic Systems

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.