Study on the Rayleigh Hysteresis Model and its Applicability in Modeling Magnetic Hysteresis Phenomenon in Ferromagnetic Materials

The following paper presents the basis of a Rayleigh magnetic hysteresis model and the examples of its application for modeling the magnetic characteristics of ferromagnetic materials: ferrites and steels. The presented model allows one to simulate the shape of a magnetic hysteresis loop of the material for the given value of the magnetizing field in the so-called Rayleigh region, as well as to calculate basic magnetic parameters of the material like coercive field, magnetic remanence, and power loss. Four different ferromagnetic materials (two ferrites and two alloy steels) were chosen for the investigation. Each material was investigated within the range of low magnetizing fields, corresponding to the Rayleigh region. On the basis of obtained results, modeling of magnetic characteristics of the investigated materials was performed. Moreover, the range of magnetizing field where the Rayleigh model can be applied for these materials was investigated based on correlation coefficient between experimental results and modeling.