A General Hysteresis Operator for the Modeling of Vector Fields

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 Classical Scalar Preisach Model is defined. Although the modeling was done for the 2-d case, the same theory can be ext...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2011-08, Vol.47 (8), p.2056-2067
Main Author: Cardelli, E.
Format: Article
Language:English
Subjects:
Computational modeling
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Magnetic analysis
Magnetic fields
Magnetic hysteresis
Magnetic losses
Magnetic properties
Materials science
Other topics in materials science
Physics
Saturation magnetization
Solid modeling
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Summary: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 Classical Scalar Preisach Model is defined. Although the modeling was done for the 2-d case, the same theory can be extended to the 3-d case as well. After reviewing some general properties of conservative fields, the specific case of unit magnitude vector fields is discussed. The paper focuses on discussing the properties of a general vector hysteresis operator (hysteron). The mathematical approach followed here can be applied not only to the magnetic hysteresis, but also to any hysteresis process. Some examples of vector hysterons, deduced from the general definition, are presented and their properties analyzed.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2011.2126589