How to Model Nonlinear Magnetics in Power Electronics

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I have only one question:
if the voltage on the inductor is a square wave and its current has a triangular shape, how is it possible the hysteresis cycle continues to behave as such as the source is sinusoidal? Intuitively (maybe wrongly) I expect a "more straight line" near the saturation zone, or in other words, the "curve effect" should be less visible.
Please elaborate.

nicolarosano