Modeling of Magnetostrictive Property of Electrical Steel Sheet Under Vectorial Excitation

Abstract

An accurate estimation for the magnetostrictive effect in an electrical steel sheet is helpful for determining the deformation and noise originating from magnetostriction during the design stages of electric devices. Because of limited measurement conditions, the rotational magnetostrictive modeling has been left aside during the calculations of core deformations. In this paper, the dynamic hysteresis properties of magnetostriction under different elliptic magnetization loci in a grain-oriented electrical steel sheet are investigated based on a rotational magnetic properties tester. A dynamic magnetostrictive model is proposed, in which the principal strains of magnetostrictions are time-dependent on variations of magnetic flux density, and the influences of past magnetization histories of material on the magnetostrictive strains are taken into account. Finally, magnetostrictive characteristics of a single-phase transformer core model built with uncut cores are analyzed and verified by experimental results. The results show that the rotational magnetostriction in the corner area is found to have a major contribution to core vibration and the proposed model can be employed to estimate the rotational magnetostrictions effectively.