A High-Frequency Dynamic Hysteresis Model for Grain-oriented Silicon Steel Considering Skin Effect and Saturation Effect

This paper presents an improved dynamic hysteresis model for the simulation and prediction of dynamic hysteresis characteristics of grain-oriented silicon steel sheets under high-frequency excitation. Based on the standard Cauer circuit model, an improved field strength corresponding eddy current loss that can reflect the skin effect is proposed. Then, a real permeability extraction method is proposed to establish the connection between classical eddy current loss and excess loss. The excess loss is found to remain almost constant when the frequency f is greater than 500 Hz at a certain magnetic flux density, which may be related to the dynamic relaxation. In addition, based on the saturation wave model, a shape control term is introduced achieving an accurate simulation of dynamic hysteresis loops at arbitrary flux density. The proposed model is verified to be highly accurate by comparing it with the loss separation model and measured results. It is also capable of predicting the dynamic hysteresis characteristics under multi-harmonic excitation.