An Energy-Based Anisotropic Vector Hysteresis Model for Rotational Electromagnetic Core Loss

In this article, a model that describes the anisotropic behavior and core loss of electrical steel sheets over a wide range of rotational excitation is developed. Based on the definition of the effective field, the macroscopic anisotropy field is deduced from a weighted average of the magnetocrystalline energy of a single crystal. An anisotropic vector hysteresis model is then proposed by applying the effective field to the energy-based model. Experimental measurements are used to fit and validate the model. Either alternating or rotational measurements with a maximum magnetic flux density 1.55 T under 10 Hz are employed to fit the model parameters and the remaining set of measurements is used for validating the model accuracy. The results show that the model can naturally account for the drop in the rotational losses at high flux densities regardless of whether it is identified from alternating or rotational measurement data. The generality of the model is demonstrated through continuous angle results and modeling of another material.