Stable Adaptive Method to Solve FEM Coupled With Jiles-Atherton Hysteresis Model

Abstract

The Jiles-Atherton magnetic hysteresis model coupled with time-stepping finite-element analysis is reported to suffer from numerical convergence problems, for example, when simulating electrical machines. In this paper, we describe a source of the numerical difficulties, and present a more stable time integration scheme for the coupled problem. In addition, we introduce the quasi-Newton method to accelerate the solution of the nonlinear field equation. Induction motor simulations verify the robustness of the proposed method.