Representation Theorems for stop and play models with input-dependent shape functions

Author

Matsuo, Tetsuji ; Shimasaki, Masaaki

Author_Institution

Dept. of Electr. Eng., Kyoto Univ., Japan

Volume

41

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

1548

Lastpage

1551

Abstract

Stop and play models with input-dependent shape functions are equivalent to the nonlinear Preisach model proposed by Mayergoyz. This equivalence engenders the necessary and sufficient conditions for a hysteretic nonlinearity to be represented by stop and play models that have input-dependent shape functions. A representation theorem for the stop model having an input-independent shape function is also given. The latter theorem is used to improve the representation accuracy of the stop model for a silicon steel sheet.

Keywords

ferromagnetic materials; functional equations; magnetic fields; magnetic hysteresis; silicon alloys; steel; FeSi; equal vertical chords; hysteretic nonlinearity; input dependent shape function; nonlinear Preisach model; silicon steel sheet; stop-and-play models; Magnetic analysis; Magnetic fields; Magnetic hysteresis; Magnetic properties; Shape; Silicon; Steel; Sufficient conditions; Equal vertical chords; hysteresis; input-dependent shape function; silicon steel sheet; stop and play models;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2005.845055

Filename

1430906