A Stable Iteration Procedure of Newton's Method in Finite-Element Computation of Nonlinear Magnetic Field Problems with a Vector Hysteresis Model

Wei Li, Weinong Fu, Chang Seop Koh, Yangyang Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)


� 1965-2012 IEEE. A stable iteration algorithm for solving nonlinear magnetic field problems using the finite-element method (FEM), incorporating a vector Jiles-Atherton hysteresis model and Newton's method, is introduced. The Jacobian matrix is calculated according to the information of the differential reluctivity of the hysteresis loops. In order to balance the FEM computation stability and efficiency, two time criteria are adopted. The proposed FEM procedure is applied to analyze a three-phase transformer made of electrical steel sheets. The numerical computation is stable and fast. The numerically computation results are compared with the experimentally measured ones. The computation efficiency and accuracy proves the effectiveness of the proposed algorithm.
Original languageEnglish
Article number7728100
JournalIEEE Transactions on Magnetics
Issue number2
Publication statusPublished - 1 Feb 2017


  • Finite-element method (FEM)
  • Newton's method (NM)
  • nonlinear hysteresis
  • time stepping
  • vector Jiles-Atherton model

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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