Analysis of the Identification Methodologies in Preisach Modeling

Abstract

The paper is dedicated to the analysis of the identification methodologies for modified Preisach models of hysteresis in ensembles of fine ferromagnetic particles. Mayergoyz has shown that the necessary and sufficient conditions for a magnetization process to be representable by a Classical Preisach Model (CPM) are the congruency and the wiping-out properties [1]. Modified Preisach models have been developed in order to explain the violation of the congruency property in real media; the number of parameters increases and the determination of their values is more difficult. The identification problem (the determination of the model parameters) can be approached in two ways: parametric and non-parametric. It was proved that the non-parametric identification is not robust, so most of the authors are using a parametric identification [2]. That means that one has to offer analytical expressions for both irreversible and reversible parts of the magnetization; if there is a significant difference between the real distributions and the analytical ones then the values of the parameters will be determined with significant errors [3]. In the next sections we shall discuss the problems related to the identification in the case of the Moving Preisach-type models.