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| Magnetoelastic Coupled Hysteresis Model of Non-Oriented Silicon Steel Sheet Considering the Non-Monotonic Influence of Tensile Stress |
| Fu Yuheng, Li Lin |
| State Key Laboratory of Alternate Electrical Power System with Rencwable Encrgy Sources North China Electric Power University Beijing 102206 China |
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Abstract Silicon steel sheets are widely used in various types of electrical equipment cores due to their excellent magnetic properties, and they are subjected to mechanical stresses during manufacturing and assembly, especially in the operation process, which will significantly change the magnetic properties of silicon steel sheets.
The hysteresis characteristics of non-oriented (NO) silicon steel sheets under tensile stress show non-monotonic characteristics and critical tensile stress. That is, when the tensile stress is less than the critical tensile stress, as the tensile stress increases, the magnetic domain structure of the silicon steel sheets becomes easier to magnetize. When the tensile stress is greater than the critical tensile stress, as the tensile stress increases, the magnetic domain structure of the silicon steel sheets becomes difficult to magnetize. The non-monotonic variation of the hysteresis characteristics of NO silicon steel sheets under tensile stress brings significant difficulties to the measurement, analysis, and modeling of the hysteresis characteristics of NO silicon steel sheets under tensile stress. Accurate measurement and simulation of the hysteresis characteristics of silicon steel sheets under tensile stress is essential to improve the efficiency of electrical equipment such as power transformers and motors.
The existing models consider the tensile stress on the non-monotonic effect of the magnetic properties of NO silicon steel for qualitative analysis. This paper adds the energy density term caused by the tensile stress to the energy term. The magnetic field strength under tensile stress is decoupled into the sum of the magnetic field strength without tensile stress, and the tensile stress causes a change in the magnetic field strength values. Based on the theory of magnetic domain energy and crystal orientation, the changes in the magnetic field strength caused by the tensile stress improve the magnetic properties, and the influence coefficients are redefined. Therefore, magnetic field strength changes considering the non-monotonic influence of tensile stress on the magnetic properties of NO silicon steel are derived. Accordingly, the corresponding magnetoelastic coupled hysteresis model is established. Aiming at the local “widening phenomenon” of hysteresis loop at coercivity of NO silicon steel, the parameter k related to hysteresis loss in the original Energetic is improved, and the application scope of the model is further broadened.
The proposed model can simulate the hysteresis loops of samples in all directions of NO silicon steel under different tensile stresses. The normalized root mean square errors are all within 3%, and the loss calculation errors are all within 10%. At the same time, the model's generality under low and medium magnetic densities is verified. The normalized root-mean-square errors under low and medium magnetic densities are within 3.6%, and the loss errors are within 5.8%. In addition, the model also has applicability to the hysteresis loops without small hysteresis loops.
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Received: 26 September 2024
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2025, Vol. 40 
