Title :
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
fDate :
5/1/1996 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
