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A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model

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  • Luc R. Dupré
  • Roger Van Keer
  • Jan A. A. Melkebeek

Abstract

The main purpose of this paper is to incorporate a refined hysteresis model, viz. a vector Preisach model, in 2D magnetic field computations. To this end the governing Maxwell equations are rewritten in a suitable way, which allows to take into account the proper magnetic material parameters and, moreover, to pass to a variational formulation. The variational problem is solved numerically by a FE approximation, using a quadratic mesh, followed by the time discretisation based upon a modified Cranck Nicholson algorithm. The latter includes a suitable iteration procedure to deal with the nonlinear hysteresis behaviour. Finally, the effectiveness of the presented mathematical tool has been confirmed by several numerical experiments.

Suggested Citation

  • Luc R. Dupré & Roger Van Keer & Jan A. A. Melkebeek, 1997. "A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model," Mathematical Problems in Engineering, Hindawi, vol. 3, pages 1-20, January.
    • Handle: RePEc:hin:jnlmpe:947134
    DOI: 10.1155/S1024123X97000574
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