Mathematical formulation for modelling minor and major hysteresis loops of power ferrites

A mathematical formulation that would enable the Basso-Bertotti domain-wall-motion (DWM) model to describe those static hysteresis phenomena that are not necessarily governed by DWM is presented. The motivation for this work has been the need to characterise both the major loop and the minor loops of the power ferrites used in power electronic applications. The key contribution is the introduction of a model parameter m_t that defines the transition between low field/minor loops and high field/major loop. The formulation is verified against experimental data of a commercial manganese-zinc (MnZn) ferrite