Comparison of Rayleigh Model and Steinmetz Law in Evaluation of Hysteresis Losses in Low Magnetizing Fields

Abstract

The purpose of the following paper is to compare the applicability of Rayleigh hysteresis model and Steinmetz law in the evaluation of power losses of selected soft magnetic materials under the influence of low magnetizing fields. Both approximations are relatively simple in terms of computational complexity, thus they seem to be appropriate for technical applications that do not require extensive knowledge of the physical properties of the material. The selected soft magnetic materials, i.e., steels and ferrites, in the form of toroidal cores, were investigated in low magnetizing fields with a computer-controlled hysteresisgraph system. Both considered models were applied to the obtained power loss characteristics. The quality of the description provided by each model was compared in terms of root-mean-square deviation and determination coefficient R², which allowed us to choose the more suitable approximation.