Calculation and Analysis of Specific Magnetic-Loss Density for Hysteresis due to Steel-Magnetization Reversal over Minor Magnetic-Hysteresis Loops

Abstract

An interrelation is shown to be valid and grounded between the density of specific magnetic-hysteresis loss W_h and of steels measured over minor magnetic-hysteresis loops under magnetization reversal, as well as technical saturation magnetization M_s, coercive force H_cs, remanent magnetization M_rs measured over the saturation-hysteresis loop, and maximum strength of the magnetizing field H_m measured over a minor hysteresis loop. A formula is found that allows one to calculate W_h for steels based on their M_s, H_cs, M_rs, and H_m. The features of the effect of the magnetic properties of steels exerted on W_h depending on H_m are analyzed. It is established that, with increasing H_m, the changes in M_rs affect the value of W_h to a lesser extent. At the same time, the increase in M_rs always causes an increase in W_h. On the contrary, the increase in H_cs leads to increasing W_h only in the case of steel magnetization reversal in strong fields. In the case of H_m<H_cs, the dependence of W_h(H_cs) becomes inverse. This phenomenon is a physical property of ferromagnetic materials under magnetization reversal in weak magnetic fields. Another consequence of this property consists in a change in the dependence of W_h for carbonized heat-treated steels on tempering temperature T_t from inverse to direct at small H_m. So, for example, at small H_m, the dependence of W_h(T_t) for steel 30 becomes monotonous for the entire feasible range of T_t. This is a prerequisite for using the W_h parameter measured in a small magnetizing field and for quality control of mid- and high-temperature tempering of medium-carbon steels.