An Approach to Modeling and Scaling of Hysteresis in Soft Magnetic Materials. I Magnetization Curve
Abstract
A new mathematical model of hysteresis loop has been derived. Model consists in an extansion of tanh(·) by extanding 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 homogenous function in general sense.
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