Complementary 2-D finite element procedures for the magnetic field analysis using a vector hysteresis model

✍ Scribed by L. R. Dupré; R. Van Keer; J. A. A. Melkebeek

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 168 KB
• Volume: 42
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19980730)42:6<1005::aid-nme396>3.0.co;2-n

✦ Synopsis

The main purpose of this paper is to incorporate a reÿned hysteresis model, viz., a vector Preisach model, in 2-D magnetic ÿeld 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 modiÿed Cranck-Nicholson algorithm. Finally, the e ectiveness of the presented mathematical tools have been conÿrmed by several numerical experiments, comparing the complementarity of the two procedures. ?