A fractal model of anomalous losses in ferromagnetic materials

A simple fractal, or hierarchical, circuit model is presented which simulates the anomalous loss behavior in ferromagnetic materials as a function of frequency and peak flux density. According to this model, the anomalous losses comprise a cascade of scaling eddy current losses. The terminal voltage and current of this model are related by a fractional derivative, which is a generalization of the well-known relationship for an inductor. Experimental results reported previously are easily reproduced using this model.<>