Chapter 3 - Vector Preisach Models of Hysteresis

Abstract

In magnetics, research on the modeling of scalar and vector hysteresis has been pursued along two quite distinct lines. Modeling of scalar hysteresis has been dominated by the Preisach approach. The Stoner-Wohlfarth (S–W) model has been known and used in magnetics for a long time. The Uniaxial magnetic particles are the main building blocks of the S–W model. Basic properties of vector Preisach hysteresis models begin with the property of reduction of vector hysteresis to scalar hysteresis. The vector Preisach model is reduced to the scalar Preisach model. The purpose is to develop dynamic vector Preisach models of hysteresis. There are two ways in which the vector Preisach models can be further generalized. The first way is to use generalized scalar Preisach models as the main building blocks for the construction of vector models. The second way is to generalize the notion of input projection. Analysis of generalized vector Preisach models of this type is very similar to that for the “classical” vector Preisach models. To solve the identification problem, the first-order transition curves and rotational experimental data can be used.