An Approach to Modeling and Scaling of Hysteresis in Magnetic Materials Magnetization Curve

摘要

A new mathematical model of hysteresis loop has been derived. Model consists in an extension of tanh(.) by extending the base of exp function into an arbitrary positive number. The presented model is self-similar and invariant with respect to scaling. Scaling of magnetic hysteresis loop has been done using the notion of homogeneous function in general sense.