An extensive growth in the application of ferromagnetic materials require a firm theoretical
understanding of the material behavior to accomplish accurate model prediction. The aim of …

This paper deals with the modeling of vector fields that exhibit hysteresis. A general class of
models of vector magnetizations with hysteresis that form a natural extension of the …

This paper deals with the mathematical definition of a general vector hysteresis operator in 3-
D, as an extension of previous papers where the theory has been limited to the 2-D case …

The basic physical processes can be rigorously treated using the quantum mechanics. This
is done at atomic level and is far from the aim of this chapter. Other approaches at …

In this article, a model that describes the anisotropic behavior and core loss of electrical
steel sheets over a wide range of rotational excitation is developed. Based on the definition …

This paper deals with key problems that have been commonly encountered in the
implementation of the Preisach model into finite-element (FE) programs. Such problems …

An improved vector play model for magnetic hysteresis materials is proposed, and its
required parameters are identified from the input major hysteresis loop. Validation results …

This paper presents an identification algorithm of the scalar Preisach model by using a set of
symmetric minor hysteresis loops and suggests an improved vector Preisach model to …

Energy-based models (also called Vector Play models) are a class of phenomenological
models of magnetic hysteresis. In this work an original identification method is presented …

Even the so‐called non‐oriented steels used in electrical engineering reveal anisotropy of
their magnetic properties. Anisotropy may have a substantial impact on the performance of …