Finite element method of nonlinear magnetic field computation embedded with different vector Jiles-Atherton hysteresis models

Issue title: 14th International Workshop on 1&2 Dimensional Magnetic Measurement and Testing (2016)

Guest editors: Zhiguang Cheng, Jianguo Zhu, Yongjian Li and Johannes Sievert

Article type: Research Article

Authors: Li, Wei^{a; *} | Fu, Weinong^b

Affiliations: [a] Department of Electrical Engineering, Tongji University, Shanghai, China | [b] Department of Electrical Engineering, The Hong Kong Polytechnic University, Hong Kong, China

Correspondence: [*] Corresponding author: Wei Li, Department of Electrical Engineering, Tongji University, Shanghai, China. E-mail: liweimail@tongji.edu.cn.

Abstract: Finite element method (FEM) of nonlinear magnetic field computation embedded with different vector Jiles-Atherton (J-A) hysteresis models is investigated in this paper. Newton’s method is adopted to do the nonlinear iteration. Both scalar and vector J-A models are incorporated into the FEM computation. The TEAM workshop problem 32 is used as a numerical example. The computed results are compared with the measured ones, which shows the effectiveness of the developed algorithm. The specifics of different vector J-A models are pointed out from the viewpoints of modelling accuracy and convergence performance.

Keywords: Finite element method, Jiles-Atherton model, Newton’s method, TEAM problem 32

DOI: 10.3233/JAE-172267

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 55, no. S1, pp. 135-140, 2017