A nonlinear singular integral equation model for hysteresis in magneto-statics

Author

Doppel, Karl ; Hochmuth, Reinhard

Author_Institution

Inst. fur Math. I, Freie Univ. Berlin, Germany

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

678

Lastpage

681

Abstract

A 3D nonlinear singular integral equation model is considered, which describes the magneto-static field in a ferromagnetic medium with hysteresis. The integral equation is derived from the magneto-static field equations and the hysteresis is represented by vector Preisach models. The solvability of the integral equation model is posed and numerical algorithms are discussed. Finally a totally discrete model is supposed, which is based on the integral equation model and allows a physical interpretation as a dipole model

Keywords

ferromagnetism; integral equations; magnetic fields; magnetic hysteresis; magnetic moments; magnetostatics; nonlinear equations; 3D nonlinear singular integral equation model; dipole model; ferromagnetic medium; hysteresis; magnetostatics; numerical algorithms; solvability; totally discrete model; vector Preisach models; Computational modeling; Electric machines; History; Hysteresis; Integral equations; Magnetic fields; Magnetic hysteresis; Magnetic materials; Magnetization; Magnetostatics; Nonlinear equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497329

Filename

497329