A contribution to the classical scalar Preisach hysteresis model for magneto—elastic materials

In this paper a hysteresis model based upon an extended classical scalar Preisach hysteresis model is introduced. It is extended by the consideration of an offset of the hysteresis, because the Preisach function is a symmetric function and the consideration of an offset is one way to include a means to be able to model unsymmetric hysteresis. Another drawback coming of the classical Preisach model is given by the fact, that the initial slope of a reversal point of the hysteresis is always zero. But this fact doesn´t allow to model all kinds of hystereses. Our extension for the Preisach model solves such kind of problems. The model is then employed to describe the output signal of a magneto-elastic force sensor that has such an untypical hysteresis as compared to a typical magnetic hysteresis the Preisach model was designed for. The extended Preisach model was designed to solve such problems and thus it delivers quite good results that are presented in this paper. The discussion includes a method to identify all required parameters including the Preisach weight function based on a least-squares algorithm. At the end of the paper some results of the model simulating the sensor-signal of the magneto-elastic force sensor are presented.