Pinning field representation using play hysterons for stress-dependent domain-structure model

•An efficient physical magnetization model for silicon steel is developed.•The pinning field distribution is directly identified using the play model.•The loss increase due to stress is predicted without stress-dependent measurement. To predict the stress-dependent magnetization properties of silicon steel using a multiscale magnetization model called assembled domain structure model, pinning field models are developed using the play model. The hysteretic property of pinning field is identified from measured BH loops under stress-free condition. From the unidirectional hysteretic property, the distribution of the play hysterons is determined via an identification method that uses scalar and vector play models under the assumption of 2D or 3D distribution of crystal orientations. The loss properties of non-oriented silicon steel under compressive and tensile stresses are predicted successfully using an energy minimization process without parameter fitting to the stress-dependent measurement results.