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A new numerical method to calculate the inverse hysteresis model using few experimental data extracted from the inverse first magnetization curve and based on scalar Preisach model is described. This modeling approach is applied to the case of soft ferromagnetic materials and allows the prediction of the necessary applied magnetic field value in order to obtain a desired magnetization function. In this paper, we first show how to model the inverse magnetic hysteresis behavior using an approach of the scalar Preisach type and the first magnetization curve [1-2] and then, the determination of the inverse density function using few experimental data extracted from inverse first magnetization curve. Mathematical developments revealed a parameter denoted  used in the positioning and whose variation affects significantly the magnetic properties. Comparisons of the obtained results with experimental data allowed the identification of the  factor as the tenth of the ratio of induction (magnetization) at the bend of saturation to the induction (magnetization) of saturation. The inverse model is then integrated into a finite element code using an electrical device formed of a ferromagnetic core surrounded by a coil which is supplied by a sinusoidal current. The efficiency and applicability of the developed method have been tested by numerical simulations and comparisons with available experimental data.

A NEW APPROACH FOR INVERSE PREISACH DISTRIBUTION FUNCTION IDENTIFICATION IN FINITE ELEMENT MODELING