Magnetomechanical multiscale hysteresis model of electrical steel sheets in the finite element simulation of a transformer

In this article, a multiscale model incorporates an energy-based hysteresis model for ferromagnetic material. The coherent rotational phenomena are considered by letting the magnetic domains rotate with the applied field. Hence, the drop of the hysteresis losses under increasing rotational flux density can be modeled properly without any additional artefacts. The model parameters are identified from a microstructure X-ray analysis and a standard unidirectional magnetic characterization. The material behavior is validated under various magneto-mechanical loadings. Finally, the multiscale hysteresis model is deployed within a finite element analysis of a transformer. The model can properly predict the measured flux density waveform under quasistatic condition.