Insertion of a sixth parameter in Jiles-Atherton hysteresis scalar model and the method for parameters identification

This original proposed method is based on rewiriting the equations of the inverse model and the equations of Jiles-Atherton hysteresis model in order to include the total derivatives of quantities concerned. A sixth parameter represents these insertions. Compared to other already proposed methods, this approach does not limit the values assumed by the parameters, here it can take positive real values, the initial and an hysteretic magnetization curves and filters are not used. The sixth-parameter is added to improve the model adaptability to the experimental behavior when a non smooth and noisy loop is considered.