Abstract: Accurate and rapid simulation of the hysteresis characteristics of magnetic materials under different stresses is of great significance to design electrical equipment cores that withstand mechanical stress. In this paper, the BROCKHAUS-MPG200 electrical steel test system was used to measure the hysteresis loops of silicon steel sheet samples under different stresses. and it is found that under the effect of stress, the hysteresis loops will produce local distortion, and the magnetic density is higher, the more serious of this distortion. Therefore, for the first time, this paper extends two commonly used simplified Preisach models to simulate the hysteresis characteristics of electrical steel sheets under stress, and finds that only one Priesach model is applicable. According to the characteristics of the model, the Everett function under different stress values can be identified only by using the measured limit hysteresis loop with distortion characteristics. this paper proposes the cubic interpolation method to extract the inverse Everett function with stress as a variable, and the static inverse Preisach model of electrical steel sheet under stress is established. Experimental and simulation results show that the model has high calculation accuracy and can be used for hysteresis characteristic simulation and hysteresis loss calculation of magnetic materials under stress in actual engineering.

Key words: electrical steel sheet, mechanical stress, static characteristics, hysteresis modeling