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

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Original languageEnglish
Article number7400208
JournalIEEE Transactions on Magnetics
Issue number2
Early online date2017
Publication statusPublished - 2018
Publication typeA1 Journal article-refereed


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.

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