Influence of Parameter Variation in Analytical Preisach Model on Shape of Hysteresis Loop

The Analytical Preisach Model (APM) describes the magnetization characteristics of materials with high accuracy and good universality, and the corresponding mathematical equations of the model are analytical expressions, which makes it very easy to solve and calculate. The distribution function parameters of APM are the main influencing factors on the shape of the hysteresis loop. In this paper, coercive force, remanence point, vertex magnetic induction intensity, area, rectangular ratio, and inclination of the hysteresis loop are used as comparative indicators for the shape of the hysteresis loop. The sensitivity analysis of the influence of distribution function parameter value changes on the hysteresis loop shape is conducted using the single factor variable method. The parameter values vary within the range of 0.9-1.1 times the baseline value, and when one parameter changes, the other parameters remain unchanged. By observing and analyzing the shape of the hysteresis loop before and after parameter changes and comparing the numerical values of the indicators, the law of the shape of the hysteresis loop changing with parameters can be obtained. The results show that some parameters have a low sensitivity to changes in the hysteresis loop shape, while others have a high sensitivity and cause significant variations. Furthermore, the direction of change in the shape indicator varies depending on the parameter. Some indicators increase with parameter increase, while others decrease. This information can be used to guide the correction of APM parameter values.