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

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