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Dynamic Preisach model identification applying FEM and measured BH curve

Miklós Kuczmann (Department of Automation, Széchenyi István University, Győr, Hungary)



The purpose of this paper is to develop a viscous-type frequency dependent scalar Preisach hysteresis model and to identify the model using measured data and nonlinear numerical field analysis. The hysteresis model must be fast and well applicable in electromagnetic field simulations.


Iron parts of electrical machines are made of non-oriented isotropic ferromagnetic materials. The finite element method (FEM) is usually applied in the numerical field analysis and design of this equipment. The scalar Preisach hysteresis model has been implemented for the simulation of static and dynamic magnetic effects inside the ferromagnetic parts of different electrical equipment.


The comparison between measured and simulated data using a toroidal core shows a good agreement. A modified nonlinear version of TEAM Problem No. 30.a is also shown to test the hysteresis model in the FEM procedure.


The dynamic model is an extension of the static one; an extra magnetic field intensity term is added to the output of the static inverse model. This is a viscosity-type dynamic model. The fixed-point method with stable scheme has been realized to take frequency dependent anomalous losses into account in FEM. This scheme can be used efficiently in the frame of any potential formulations of Maxwell's equations.



This paper is sponsored by “TÁMOP-4.2.2.A-11/1/KONV-2012-0012: Basic research for the development of hybrid and electric vehicles -The Project is supported by the Hungarian Government and co-financed by the European Social Fund.” The author thanks to Dániel Marcsa for the preparation of geometry, mesh and the program of linear version of TEAM 30.a. The Author is grateful to Tamás Budai for the development of the simulation environment under Linux operating system, and to Tamás Unger for developing the toroidal specimen. Core materials have been supported by ArcerolMittal.


Kuczmann, M. (2014), "Dynamic Preisach model identification applying FEM and measured BH curve", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 33 No. 6, pp. 2043-2052.



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