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

Y. Bernard (Laboratoire de Génie Electrique de Paris (LGEP), CNRS, SUPELEC, Universités Paris XI et VI, Gif‐sur‐Yvette, France)
E. Mendes (Laboratoire de Génie Electrique de Paris (LGEP), CNRS, SUPELEC, Universités Paris XI et VI, Gif‐sur‐Yvette, France)
Z. Ren (Laboratoire de Génie Electrique de Paris (LGEP), CNRS, SUPELEC, Universités Paris XI et VI, Gif‐sur‐Yvette, France)

Abstract

A new method for the determination of the classical Preisach’s model distribution function is developed. The proposed method determines numerically the distribution function from classical experimental measurements and does not make any assumption concerning the material type. The Preisach’s triangle is discretised in a finite set of cells (about 200 cells are needed). Two ways for the determination of the discretised distribution function are presented. The first assumes constant distribution function value in each cell. The second determines the nodal values of the discretised distribution function and uses a bilinear interpolation technique to obtain the distribution function in any position of the Preisach’s triangle. We also show that the proposed method can also be used to model the inverse distribution function. The comparison between modelled and experimental hysteresis curves for both major and minor cycles have shown the effectiveness of the proposed method.

Keywords

Citation

Bernard, Y., Mendes, E. and Ren, Z. (2000), "Determination of the distribution function of Preisach’s model using centred cycles", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 19 No. 4, pp. 997-1006. https://doi.org/10.1108/03321640010347439

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MCB UP Ltd

Copyright © 2000, MCB UP Limited

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