Time- and Frequency-Domain Steady-State Solutions of Nonlinear Motional Eddy Currents Problems

Léo A.J. Friedrich (Corresponding author)

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This paper presents a comparison of different time- and frequency-domain solvers for the steady-state simulation of the eddy current phenomena, due to the motion of a permanent magnet array, occurring in the soft-magnetic stator core of electrical machines that exhibit nonlinear material characteristics. Three different dynamic solvers are implemented in the framework of the isogeometric analysis, namely the traditional time-stepping backward-Euler technique, the space-time Galerkin approach, and the harmonic balance method, which operates in the frequency domain. Two-dimensional electrical machine benchmarks, consisting of both slotless and slotted stator core, are considered to establish the accuracy, convergence, and computational efficiency of the presented solvers.
Original languageEnglish
Pages (from-to)22-48
Number of pages27
JournalJ : Multidisciplinary Scientific Journal
Issue number1
Publication statusPublished - 8 Jan 2021


  • harmonic balance method
  • frequency domain
  • nonlinear characteristics
  • eddy currents
  • permanent magnet
  • isogeometric analysis
  • convergence analysis


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