Congruency-based hysteresis models for transient simulation

We describe a history-dependent (non-Preisach) hysteresis model based on direct use of experimental first-order reversal curves. We propose that any second or higher order reversal curve can be constructed by using internal segments of the first-order reversal curves, and show that particular transplants (segments with required overall dimensions ΔH,ΔB) can always be found in both the B and H directions from a current turning point. This makes it possible to obtain the reversal curve originating from this point as a weighted sum of the transplants found in those directions. The effectiveness of the proposed model is illustrated by its use in simulation of the complex transients in a conducting ferromagnetic sheet subjected to a pulsewidth-modulation voltage supply.