The model of mechanical stress dependence of 2D magnetic permeability of grain-oriented electrical steel sheets adaptable for finite element-based modeling

The paper presents the model of stress dependence of 2D relative magnetic permeability of anisotropic, grain-oriented M120‒27s electrical steel suitable for finite element method modeling. The proposed model was developed based on experimental results acquired using the measuring setup with a testing yoke equipped with a Cardan gyroscopic mechanism and hydraulic press. In the presented model, parameters of the tensor description of 2D relative magnetic permeability were chosen during the feature selection process and identified during differential evolution optimization. The good quality of the proposed model was quantitatively confirmed by the R-squared coefficient, which exceeds 0.997 for all plots of the 2D relative magnetic permeability tensor.