A phenomenological vector hysteresis model is developed to represent dynamic and anisotropic vector hysteretic properties of non-oriented silicon steel sheets. The anisotropic vector hysteresis is represented by the multiplication of an anisotropy matrix and an isotropic vector play model. An eddy-current field vector given by classical eddy-current theory and an anomaly factor is added to the vector hysteresis model. The anomaly factor is determined to model the decrease in anomalous eddy-current loss for large rotational magnetic flux. The alternating and rotational properties simulated by the proposed model reconstruct the measured magnetic properties of non-oriented silicon steels.
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