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

Lauri Perkkiö, Antti Hannukainen, Brijesh Upadhaya, Paavo Rasilo

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)


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.
Original languageEnglish
Article number7400208
Number of pages8
JournalIEEE Transactions on Magnetics
Issue number2
Early online date25 Dec 2017
Publication statusPublished - Feb 2018
MoE publication typeA1 Journal article-refereed


  • Finite element analysis
  • Magnetic hysteresis
  • Finite-element method (FEM)
  • Jiles–Atherton (JA)
  • Numerical methods
  • Quasi-Newton (QN)


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