Study of Magnetostrictive Characteristics Based on Dynamic J–A Model Under DC Bias

In order to model the magnetostrictive hysteresis behavior of grain-oriented electrical steel sheet (ESS) under the dc bias, a Jiles–Atherton (J–A) magnetostrictive model considering the effect of dc bias was constructed based on the J–A hysteresis model. First, according to the separation theory of loss, a dynamic J–A hysteresis model was established; then, considering the impact of dc bias and anisotropy, the expressions for effective magnetic field intensity and non-hysteretic magnetization strength were modified based on the free energy model; next, the improved J–A hysteresis model was combined with the model of secondary domain reversal considering the magnetostrictive hysteresis behavior to construct the J–A magnetostrictive model considering the effect of dc bias; finally, the particle swarm optimization (PSO) algorithm was used to extract parameters of the model combined with experimental data, and the model was verified for accuracy by comparing it with experimental data. It can model the magnetostriction of an oriented ESS plate in a complex working environment.