Modelling quasi-static magnetic hysteresis: a new implementation of the play model based on experimental asymmetric B(H) loops
Résumé
This paper relates a new model of quasi-static magnetic hysteresis based on the Play model hysterons, which builds the magnetic field density B from the magnetic field H. In the original model, H is discretized into temporal scalars H(tn), which is itself modelled by a hysteron chain of n sub-values. B is then reconstructed from these sub-values through a function experimentally determined by measuring B(H) centered cycles, using a constraint optimization method. The new proposed method is to measure asymmetric B(H) loops, which give additional equations leading to a fully determined linear square invertible system. The asymmetric B(H) loop is included in a bigger symmetric loop with a magnetic flux density turnaround in order to be regulatable.
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