Nanocrystalline and Amorphous Strips Data

The precise prediction of hysteresis characteristics in nanocrystalline and amorphous strips is crucial for analyzing the electromagnetic properties of high-frequency transformers. However, existing hysteresis prediction methods suffer from high cost, time consumption, and inaccuracy, especially for those under high frequency and non-sinusoidal excitation. For that, an analytical method with enhanced practicality and effectiveness is proposed for predicting hysteresis characteristics. Firstly, this paper uses Maxwell's equation to derive an analytical method of eddy current magnetic field strength. This method sheds light on the underlying mechanism through which the skin effect impacts the eddy current magnetic field strength. Subsequently, the influence mechanism of the strip’s non-uniform magnetic flux density distribution caused by skin effect on the static hysteresis characteristics and excess effects is analyzed. In light of this, a comprehensive approach is proposed utilizing the Riemann Liouville (R-L) fractional derivative. Finally, according to the field separation approach, this paper establishes a hysteresis prediction method that comprehensively accounts for the impact of skin effect on hysteresis characteristics, particularly under high-frequency and non-sinusoidal excitation. When operating at frequencies exceeding 5 kHz, the utilization of this method in nanocrystalline and amorphous strips yields a notable improvement in prediction accuracy, surpassing the dynamic Jiles-Atherton model.