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

Luc R. Dupré, Roger Van Keer and Jan A. A. Melkebeek

Mathematical Problems in Engineering, 1997, vol. 3, 1-20

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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:947134

DOI: 10.1155/S1024123X97000574

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