Synthesis and simulation of systems possessing ferromagnetic hysteresis

Abstract

Ferromagnetic hysteretic behavior is a particularly complex phenomenon; it can actually be construed as the response of a large-scale system consisting of interacting magnetic domains. The problem of simula tion of systems containing one or more ferromagnetic devices is correspondingly very difficult. Classical modeling attempts have suffered on the one hand from complex mathematics unsuited for practical implemen tation and on the other from simplistic models that retain no connection with underlying physical processes. The model developed in this paper is of a phenomenological nature; yet it bears rather close correspondence on an energy-exchange level with the physics of ferromagnetism. The basic mathematical model has the nature of a mechanical analog that possesses the same qualitative features as ferro magnetic material. It is a planar representation on which a systems-theoretic state-space analysis is performed. A method for estimation of the model parameters is outlined, and simulation results are compared with experimental data for an iron-core toroid.