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This original proposed method is based on rewiriting the equations of the inverse model and the equations of Jiles-Atherton hysteresis model in order to include the total derivatives of quantities concerned. A sixth parameter represents these insertions. Compared to other already proposed methods, this approach does not limit the values assumed by the parameters, here it can take positive real values, the initial and anhysteretic magnetization curves and filters are not used. The sixth-parameter is added to improve the model adaptability to the experimental behavior when a non smooth and noisy loop is considered.

This paper discusses the implementation of the inverse Jiles-Atherton vector hysteresis model with 2-D finite element (FE) method for the analysis of a hysteresis motor electromechanical behavior. A differential reluctivity tensor couples the hysteresis model with the magnetic vector potential-based FE model. Simulation results are validated by experimental data obtained from a specially designed machine.

The representation of a magnetic material using the Preisach Model of hysteresis requires the determination of the Everett function through the measurement of a complete set of B-H curves. Unfortunately, this data is not available in the literature for most materials, which can be a limitation for practical engineering applications. In this paper, we propose an identification procedure of the Everett function using only the more conventional major hysteresis loop and the initial magnetization curve measurements. The B-H curves reproduced with this technique show a very good agreement with experimental data.

This paper shows the equivalence of an energy based model (EBM) of ferromagnetic hysteresis and the well-known Preisach model (PM) of hysteresis for the case of a scalar input variable. It is shown that the memories of both models have a similar representation and a simple mapping between the models is presented. It is revealed that the Preisach density functions originating from the EBM are defined only along discrete lines. This opens up a comfortable possibility to evaluate an integral over the Preisach density function. The model was applied to the diffusion equation which describes thin ferromagnetic steel sheets. Simulation results are presented. A similar interpretation of the vector valued EBM as a vector Preisach operator is possible, however it is not treated within this paper.