A 2D FINITE-ELEMENT PROCEDURE FOR MAGNETIC-FIELD ANALYSIS TAKING INTOACCOUNT A VECTOR PREISACH MODEL

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 suita ble way, which allows to take into account the proper magnetic materia l 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 mo dified Cranck Nicholson algorithm. The latter includes a suitable iter ation procedure to deal with the nonlinear hysteresis behaviour. Final ly, the effectiveness of the presented mathematical tool has been conf irmed by several numerical experiments.