Calculation Method of High-Frequency Loss of Ferromagnetic Materials Based on R-L Type Fractional Derivative and Loss Statistical Theory
Chen Bin1,2, Qin Xiaobin2, Wan Nina1,3, Tang Bo1,2
1. Hubei Provincial Engineering Technology Research Center for Power Transmission Line Yichang 443002 China; 2. College of Electrical Engineering and New Energy China Three Gorges University Yichang 443002 China; 3. Yichang Electric Company State Grid Hubei Electric Power Company Yichang 443002 China
Abstract：The traditional statistical theory of loss (STL) has a large prediction error of high-frequency loss of ferromagnetic materials and the estimation is too high. For this reason, this paper firstly considers the influence of the uneven distribution of magnetic flux density on hysteresis loss under high-frequency conditions, and proposes a calculation method for hysteresis loss based on the finite element method. Then based on the R-L type fractional derivative, the eddy current field and eddy current loss calculation formulae in the traditional STL are improved, and the quantum genetic algorithm is introduced to optimize the damping coefficient and the order of the derivative in the fractional derivative model. Subsequently, an improved STL method suitable for wide frequency and wide magnetic density range is proposed. Finally, the Epstein frame is used to measure the loss of 3% Si-Fe ultra-thin oriented silicon steel sheet in the frequency range of 10Hz to 10kHz. Comparing the theoretical calculation value with the experimental measurement value, the result shows that the maximum average relative error of the proposed method in the entire frequency band is 9.14%, the minimum average relative error is 2.13%. Compared with the traditional loss theory, the loss prediction accuracy is greatly improved, which verifies the effectiveness of this method.
陈彬, 秦小彬, 万妮娜, 唐波. 基于R-L型分数阶导数与损耗统计理论的铁磁材料高频损耗计算方法[J]. 电工技术学报, 2022, 37(2): 299-310.
Chen Bin, Qin Xiaobin, Wan Nina, Tang Bo. Calculation Method of High-Frequency Loss of Ferromagnetic Materials Based on R-L Type Fractional Derivative and Loss Statistical Theory. Transactions of China Electrotechnical Society, 2022, 37(2): 299-310.
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