An Improved Magnetostriction Model for Electrical Steel Sheet Based on Jiles–Atherton Model

The magnetostriction of an electrical steel sheet (ESS) is the main cause of the electromagnetically induced vibration of power transformers. In order to analyze the magnetostrictive hysteresis property of an ESS, a model is established based on the improved Jiles-Atherton (J-A) model by introducing the parameter k
₁
, which considers the domain moment rotation. The magnetostrictive hysteretic loop of silicon steel would be obtained by combining the hysteretic loop with the model, in which the hysteretic loops can be more easily measured accurately than the magnetostriction loops. To verify the feasibility of the model, it is applied to Grain-oriented and non-oriented electrical steel, and the parameters in the model are extracted by using a particle swarm optimization algorithm. By comparing the measured data to calculate data obtained from the model, excellent agreement in the result is shown. The anisotropic properties of non-oriented silicon steel are also suitably shown. The results demonstrate the proposed model in the article is accurate for dynamic magnetic characteristics to electrical steel. It provides a good description of magnetostriction under the magnetic field with different amplitudes.