Dynamic Hysteresis Modeling Taking Skin Effect Into Account for Magnetic Circuit Analysis and Validation for Various Core Materials

Abstract

This article presents a novel magnetic circuit model which can represent the dynamic hysteresis characteristics considering the skin effect. The proposed model is mathematically equivalent to the previously proposed magnetic circuit model incorporating the play model and Cauer circuit. However, the previous one has a problem in practical use that the magnetic circuit analysis must be performed by coupling with the external electric equivalent circuit to take the skin effect into account. Thus, it is difficult to apply the previous method to the analyses of devices with complicated shapes such as electric motors due to model complexity and convergence deterioration. On the contrary, the proposed model is more practical since it is composed of only the magnetic circuit elements. The calculation accuracy of the proposed model and its versatility for various kinds of core materials are experimentally proved by using ring cores made of grain-oriented (GO) and non-oriented (NO) silicon steels, an amorphous alloy, and a soft magnetic composite (SMC).