Enhanced nonlinear algorithm for the transient analysis of magnetic field and electric circuit coupled problems

Weinong Fu, Siu Lau Ho

Research output: Journal article publicationJournal articleAcademic researchpeer-review


The time stepping finite element method based on the backward Euler's method has been widely used to simulate transient electromagnetic fields. Because of the numerical error of nonlinear iterations, the solutions of the derivative quantities may have very big noisy spikes. We present a modified formulation that reduces significantly the numerical error of the derivative quantities in transient finite element analysis of magnetic field computation. We also present an example that simulates the operation of an induction motor and demonstrates that the new method can successfully remove the spikes in the calculated waveforms of back electromotive force and eddy-current loss.
Original languageEnglish
Article number4782119
Pages (from-to)701-706
Number of pages6
JournalIEEE Transactions on Magnetics
Issue number2
Publication statusPublished - 1 Feb 2009


  • Finite element method
  • Magnetic field
  • Nonlinear
  • Numerical error
  • Transient

ASJC Scopus subject areas

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

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