Dynamic generalization of the scalar Preisach model of hysteresis

A dynamic generalization of the Preisach hysteresis model is proposed, in which the rate of change of the flux associated with each elementary Preisach loops is not infinite, as in the standard Preisach model, but proportional to the difference between the external field and the loop threshold fields. With this assumption, the shape of the elementary Preisach loops, as well as of the macroscopic hysteresis loops, becomes dependent on the magnetizing frequency f. In particular, it is found that the loop area follows a law of the form C₀+C₁√f. The model is well suited to applications in the field of power loss calculations in soft magnetic materials