Parameter identification of Jiles–Atherton model with nonlinear least-square method

Abstract

A new method to the parameter identification of the widely used scalar Jiles–Atherton (J–A) model of hysteresis is detailed in this paper. The extended J–A model is also investigated including the eddy-current and the anomalous loss terms, which are taken into account by modeling the frequency dependence of the hysteresis. The five parameters of the classical J–A model can be determined from low-frequency hysteresis measurement. At higher frequency the effect of the eddy currents is not negligible, the J–A model must be extended. The loss of the hysteresis characteristics and the coercitive field are increasing with the frequency. Nonlinear least-squares method is used for parameter fitting of classical and extended J–A model, as well. The curve fitting is executed automatically based on the initial parameters and the measured data.