Properties of dynamic Preisach models

A numerical study of the Dynamic Preisach model of Bertotti (DPM-B) is carried out in time domain and over an unlimited range of magnetise fields and frequencies. It is shown that the well-known approximation of the total loss simulated by the DPM-B by the expression C-0 + C(1)rootf is a low-frequency limit of a more complex dependence characterised by a faster growth of the excess loss component. The anomalous temporal and frequency behaviour of the DPM-B is revealed by comparing the DPM-B to a recently proposed dynamic hysteresis model, which is compatible with static hysteresis models of any type and provides a desirable excess loss dependence invariable in all frequency range. In such a way, it is shown that the applicability of the phenomenological DPM-B and its modification is constrained to the low frequencies and steady-state periodic regimes. (C) 2003 Elsevier B.V. All rights reserved.