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

Mathematical Problems in Engineering, Jul 2018

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.

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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. A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model, Mathematical Problems in Engineering, DOI: 10.1155/S1024123X97000574