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Use of a scaling power law to incorporate asymmetrical minor loops in the inverse Jiles–Atherton model

Magnetic material characterisation and modelling are important for investigating losses and analysing the transient behaviour of electrical systems. This study attempts to contribute in modelling of magnetic materials under conditions of arbitrary flux waveforms. A simple modification of the inverse Jiles–Atherton model for accurately estimating losses in magnetic materials under asymmetrical minor loops is described. The additional losses due to minor loops are mainly due to irreversible domain wall displacements. The modelling presented in this work is based on a scaling power law, which ensures the closure of minor loops and allows better representation of the hysteresis behaviour. The proposed algorithm is verified by modelling hysteresis loops with multiple harmonics associated with pulse width modulated waveforms.