Preisach distribution function approximation with wavelet interpolation technique

The Preisach model is very commonly used for hysteresis modeling in ferromagnetic material. The main difficulties using the scalar model are to determine its parameters (i.e. distribution function) and decrease the calculation time. The distribution function is determined from the first order reversal curves. The realization of the simulated model is discrete, however, the solution of the Maxwell equations using a hysteresis loop needs a “continuous” Preisach model. In this paper the interpolation of the probability functions with a two dimensional wavelet average-interpolation transform is realized. The wavelet transform allows also the filtering of the high frequency components of noise. Increasing the efficiency of the model, a faster representation has developed.