A behavioral model for frequency-dependent hysteresis in power ferrites

We present a methodology for modeling hysteresis in bulk manganese-zinc (MnZn) power ferrites, over the practical ranges of amplitude and frequency, at room temperature. Starting from an existing static hysteresis model (such as Basso-Bertotti´s), nonlinear algebraic relationships and linear ordinary differential equations are synthesized and strategically embedded in the static model to achieve satisfactory fit between predicted and measured dynamic hysteresis loops. Two model parameters, f_rev and f_irr, define the cutoff frequencies of the reversible and irreversible processes. We have demonstrated the modeling methodology for a commercial MnZn power ferrite, magnetized up to 0.4 T at frequencies between 10 kHz and 1 MHz.