The magnetic field diffusion equation including dynamic, hysteresis: A linear formulation of the problem

Marie-Ange Raulet (1, 2) , Benjamin Ducharne (1, 2) , Jean-Pierre Masson (2) , G. Bayada (3)

1 AMPERE - Ampère
2 CEGELY - Centre de génie électrique de Lyon
3 MAPLY - Laboratoire de Mathématiques Appliquées de Lyon

The introduction of accurate material modeling such as hysteresis phenomenon in numerical field calculation leads to numerical problems induced by the nonlinear properties of the initial system. We focus on the solution of the magnetic field diffusion equation, which contains such problems. This paper presents a new formulation of the diffusion equation including dynamic hysteresis. The resulting formulation leads to a linear system to solve. A numerical implementation of the problem and an experimental validation are also presented.

Mots clés: diffusion equations; dynamics; hysteresis; linear systems; EXPERIMENTAL VALIDATION; BEHAVIORAL-MODEL

Domaines: Energie électrique; Autre; Electromagnétisme; Modélisation et simulation

Marie-Ange Raulet, Benjamin Ducharne, Jean-Pierre Masson, G. Bayada. The magnetic field diffusion equation including dynamic, hysteresis: A linear formulation of the problem. IEEE Transactions on Magnetics, 2004, 40 (2 Part 2), pp.872-875. ⟨10.1109/TMAG.2004.824816⟩. ⟨hal-00141389⟩