Dynamic hysteresis modeling based on Preisach model

Abstract

A method to model dynamic hysteresis is proposed. The proposed model is based on an inverse Preisach model with the magnetic flux density and its rate as inputs, and the magnetic field as the output. Assuming that the hysteretic behavior does not depend on the history of this rate, the inverse distribution function is expressed in terms of the magnetic flux density rate. As a consequence, the classical utilization rules of the Preisach triangle can be applied, thus making the implementation of the proposed model very easy and efficient. The proposed model has been experimentally validated and compared with a classical static Preisach model. Since the inputs of the proposed model are the magnetic flux density and its rate, this model can very easily be implemented in a finite-element method solver using the magnetic vector potential as unknown.