Generalized formulation for the description of hysteresis in soft magnetic materials

This paper presents a phenomenological formulation that broadens the range of applicability of the Basso-Bertotti hysteresis model to include soft magnetic materials with very gradual saturation, such as commercial manganese-zinc (MnZn) power ferrites. The formulation also enables the Basso-Bertotti model to better characterize both the major loop and the minor loops of these soft magnetic materials. The formulation introduces a model parameter m(t) that defines the transition between low field/minor loops and high field/major loop. An explicit expression for magnetization in term of domain-wall position was synthesized to make the hysteresis model numerically attractive. The formulation was verified by experimental data of commercial MnZn ferrites.