Study of Hybrid Hysteresis Model Considering Magnetic-Force Coupling Effect
Li Yongjian1,2, Li Zongming1,2, Li Yating1,2, Yue Shuaichao1,2, Dou Yu1,2
1. State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology Tianjin 300401 China; 2. Hebei Key Laboratory of Equipment and Technology Demonstration of Flexible DC Transmission Hebei University of Technology Tianjin 300401 China
Abstract：The magnetization characteristics cause the most complex part of the loss composition in electrical equipment during the magnetization process of magnetic materials. Grain-oriented electrical steel, the widely used core material for power transformers, has its magnetic properties affected by stress, thereby impacting the performance of power transformers. Therefore, accurately and quickly simulating the hysteresis characteristics of magnetic materials under different stresses is significant for designing equipment cores that withstand mechanical stress. Firstly, a magnetic property measurement device is used to measure the magnetization characteristics of grain-oriented electrical steel sheets under different tensile stresses along the rolling direction. The relationship between the magnetization characteristics of grain-oriented electrical steel and different movement modes of magnetic domains is established by comparing with the changes in the domain structure of grain-oriented electrical steel under different stress levels. It is assumed that the magnetization characteristics of magnetic materials are linear when domain wall motion is dominant and non-linear when magnetization rotation is dominant. Tensile stress mainly affects the domain wall motion of grain-oriented electrical steel in the low magnetic flux density range. Additionally, assume that the change efficiency of the magnetic domain in the low magnetic flux density range is constant under constant stress. The magnetic domain change efficiency ntp is expressed as 1/Ht (Ht is the magnetic field strength at the end of the domain wall translational motion), and the relationship between ntp and tensile stress is quantified into a specific mathematical expression. A new anhysteretic magnetization formula based on the relationship between ntp and stress is proposed to replace the traditional J-A model's formula based on Langevin theory. Thus, a mathematical model is proposed as Model 1 for the low magnetic flux density range to describe the domain wall motion of grain-oriented electrical steel sheets under tensile stress. Assuming that each magnetic domain within the material is an independent entity, the magnetostrictive phenomenon of the material can be equivalent to the aggregation of the changes in the form of a single magnetic domain. During the magnetization process, changes in the shapes of magnetic domains lead to relative displacement, resulting in frictional losses. Therefore, the magnetostrictive characteristics of magnetic materials are introduced into the J-A theory in the form of friction, and a mathematical model is proposed as Model 2 for the high magnetic flux density range that can describe the magnetization rotation movement of grain-oriented electrical steel. In the actual magnetization process, the domain wall motion and the magnetization rotation movement affect the entire magnetization process. Thus, the hybrid ratio of the two models under different magnetization levels is effectively predicted using a BP neural network, and a hybrid hysteresis model considering the influence of tensile stress is proposed. The calculation accuracy of the hybrid model is much higher than that of the traditional J-A model and is slightly worse at the knee point of the hysteresis loop. The calculated loss of the hybrid model is close to the measured results, with a maximum error not exceeding 6.49%. The following conclusions can be drawn. (1) The hybrid hysteresis model can accurately describe the domain wall motion of oriented electrical steel in the low magnetic flux density range. (2) It can also accurately describe the magnetic moment rotation movement of oriented electrical steel in the high magnetic flux density range. The calculation error of the proposed magneto-mechanical coupling model is within the allowable range, which verifies the accuracy and effectiveness of the hybrid model.
李永建, 李宗明, 利雅婷, 岳帅超, 窦宇. 考虑磁-力耦合效应的混合磁滞模型研究[J]. 电工技术学报, 2024, 39(22): 6941-6951.
Li Yongjian, Li Zongming, Li Yating, Yue Shuaichao, Dou Yu. Study of Hybrid Hysteresis Model Considering Magnetic-Force Coupling Effect. Transactions of China Electrotechnical Society, 2024, 39(22): 6941-6951.
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