A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model

Built on Weibull cumulative distribution function and the hysteresis rule of Jiles–Atherton model, this paper proposes a new hysteresis function suitable for modeling the hysteretic characteristics. After the domain of definition expanded, the cumulative distribution function of a two-parameter Weibull distribution is employed to describe the skeleton curve of the hysteresis. A simplified energy conversion equation based on Jiles–Atherton model is then presented to describe the loop curve. The proposed hysteresis model is solved by the predictor–corrector method. From calculation results, the model is capable of providing abundant descriptions of hysteresis and approximating some hysteresis with low deviations. Parameter determination method is given based on the principle of minimizing the calculation deviations between the proposed model and Jiles–Atherton model. Then the deviations are comprehensively discussed under wider value range when the magnetic fields are not lower than the specified values. At last, the parametric analysis, mainly the loop parameters on hysteresis curve, maximum value and loop area, is completed. With simpler expression and clearer parameter influence compared with the Jiles–Atherton model, the model is suitable for modeling various types of hysteretic systems, especially the system with a magnetic hysteresis.