Similarity of Hysteresis Quantities

Abstract

Based on the example of analyzing the Rayleigh equations for ascending and descending branches of the magnetic hysteresis loop, the dimensionless hysteresis quantities B_r/B_max, W_h/W_max, H_c/H_max, and B_rH_c/W_h, which have the same functional dependence on the external magnetic field H_max, have been found. Hysteresis quantities proportional to the permeability μ or hysteresis loss W_h have been obtained. An analysis of the magnetically soft amorphous alloy Co₆₆Fe₃Cr₃Si₁₅B₁₃ with very high initial permeability showed that the similarity of dimensionless hysteresis quantities takes place not only in the Rayleigh region, but also in a wider region of the magnetic field.