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Complementary 2‐D finite element procedures for the magnetic field analysis using a vector hysteresis model
Author(s) -
Dupré L. R.,
Van Keer R.,
Melkebeek J. A. A.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980730)42:6<1005::aid-nme396>3.0.co;2-n
Subject(s) - discretization , finite element method , mathematics , computation , quadratic equation , vector potential , scalar (mathematics) , mathematical analysis , numerical analysis , maxwell's equations , magnetic field , algorithm , physics , geometry , quantum mechanics , thermodynamics
The main purpose of this paper is to incorporate a refined hysteresis model, viz., a vector Preisach model, in 2‐D magnetic field computations. Two complementary formulations, based either on the scalar or on the vector potential, are considered. The governing Maxwell equations are rewritten in a suitable way, that allows to take into account the proper magnetic material parameters and, moreover, to pass to a variational formulation. The variational problems are solved numerically by a Finite Element approximation, using a quadratic mesh, followed by a time discretization method based upon a modified Cranck–Nicholson algorithm. Finally, the effectiveness of the presented mathematical tools have been confirmed by several numerical experiments, comparing the complementarity of the two procedures. © 1998 John Wiley & Sons, Ltd.