Determination of the distribution function of Preisach's model using centred cycles

A new method far the determination of the classical Preisach's model distri bution Junction is developed. The proposed method determines numerically th e distribution function from classical experimental measurements and does n ot make any assumption concerning the material type. The Preisach's triangl e is discretised in a finite set of cells (about 200 cells are needed). Two ways for the determination of the discretised distribution function are pr esented The first assumes constant distribution junction value in each cell . The second determines the nodal values of the discretised distribution fu nction and uses a bilinear interpolation technique to obtain the distributi on function in any position of the Preisach's triangle. We also show that t he proposed method can also be used to model the inverse distribution Junct ion. The comparison between modelled and experimental hysteresis curves for both major and minor cycles have shown the effectiveness of the proposed m ethod.