Shape optimization of interface between ferromagnetic material and air in eddy current system using continuum sensitivity analysis and level-set method

Article type: Research Article

Authors: Seo, Kyung Sik^a | Park, Il Han^a;

Affiliations: [a] School of Electronic and Electrical Engineering, Sungkyunkwan University, Suwon, Korea

Correspondence: [*] Corresponding author: Il Han Park, School of Electronic and Electrical Engineering, Sungkyunkwan University, Suwon 16419, Korea. E-mail: ihpark@skku.ac.kr

Abstract: This paper presents a method for optimizing the shape of the interface between ferromagnetic materials and air in eddy current systems through a continuum sensitivity analysis and level-set method. The continuum sensitivity formula of the eddy current system is obtained as the surface integral form in terms of the velocity field. The shape evolution of the material interface is represented by solving the level-set equation coupled with the common velocity term in the continuum sensitivity formula. The optimization method is validated by shape design examples.

Keywords: Continuum sensitivity analysis, ferromagnetic material, eddy current system, level-set method, shape design

DOI: 10.3233/JAE-191111

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 60, no. S1, pp. S125-S132, 2019