Hysteresis characteristics prediction method of amorphous materials based on static Jiles-Atherton hysteresis model and Maxwell's equation

Abstract

Establishing an accurate hysteresis prediction method is crucial for reliable numerical analysis, especially for the growing demand in industrial applications. Existing hysteresis prediction methods, unfortunately, suffer from high cost, time consumption, and inaccuracy, particularly for those under high frequency. For that, this paper proposes a dynamic Jiles-Atherton hysteresis method with practicality and effectiveness. Firstly, an analytical model is derived to predict the eddy current magnetic field strength under high-frequency excitation using Maxwell's equation. Secondly, a modified static hysteresis characteristics prediction approach considering the skin effect is proposed based on the static Jiles-Atherton hysteresis model. Finally, a dynamic Jiles-Atherton hysteresis method (DJAM) considering the influence of skin effect on hysteresis characteristics is presented under the statistical theory of losses. The comparison between the simulated and measured results not only confirms the accuracy and efficiency of the DJAM but also indicates that its prediction accuracy is superior to the traditional method, particularly for those under high frequency.