Modeling and Validation of Stray-Field Loss in Laminated Magnetic Shield of Transformer under Harmonics and DC Bias
Zhang Changgeng1, Tian Yakun1, Li Yongjian1, Li Yating1, Du Zhenbin2, Cheng Zhiguang2, Yang Qingxin1
1. State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology Tianjin 300130 China; 2. Institute of Power Transmission and Transformation Technology Baobian Electric Baoding 071056 China
Abstract In order to study the stray-field loss in laminated magnetic shield of transformer under harmonics and DC bias, an improved model was proposed based on TEAM P21(Testing Electromagnetic Analysis Methods Problem 21) family (V.2009). The turn number, the cross section of exciting coil, and the size of magnetic shield sheets were increased. A measuring system of stray-field loss in laminated magnetic shield of transformer was designed. The corresponding measuring method of stray-field loss under harmonics and DC bias was proposed. Magnetic properties of GO silicon steel sheet were measured under complex excitations of harmonics and DC bias, which are essential to numerical modeling and simulation correctly. The calculated and measured stray flux density and stray-field loss in laminated magnetic shield were practically in good agreement, which verified the effectiveness of the numerical simulation. The distribution of stray-field loss was discussed and the results would be beneficial to the design of magnetic shield of transformer and improve the reliability of electromagnetic apparatus.
Zhang Changgeng,Tian Yakun,Li Yongjian等. Modeling and Validation of Stray-Field Loss in Laminated Magnetic Shield of Transformer under Harmonics and DC Bias[J]. Transactions of China Electrotechnical Society, 2022, 37(15): 3733-3742.
[1] 杨帆, 池骋, 刘刚, 等. 计及温度-电场强度非线性的换流变压器瞬态电场影响分析[J]. 电工技术学报, 2020, 35(23): 4971-4979. Yang Fan, Chi Cheng, Liu Gang, et al.Study on transient insulation condition of converter transformer based on nonlinearity between temperature and electric field[J]. Transactions of China Electrotechnical Society, 2020, 35(23): 4971-4979. [2] Chen Dezhi, Feng Zhiyu, Wang Qingpeng, et al.Study of analysis and experiment for ability to withstand DC bias in power transformers[J]. IEEE Transactions on Magnetics, 2018, 54(11): 1-6. [3] 陈志伟, 白保东, 陈德志, 等. 电力变压器直流偏磁现象形成机理及一种抑制措施的研究[J]. 电工技术学报, 2015, 30(14): 208-214. Chen Zhiwei, Bai Baodong, Chen Dezhi, et al.Research on the formation mechanism and suppression method of transformer DC bias[J]. Transactions of China Electrotechnical Society, 2015, 30(14): 208-214. [4] 张良县, 陈模生, 彭宗仁, 等. 非正弦负载电流下特高压换流变压器绕组的谐波损耗分析[J]. 中国电机工程学报, 2014, 34(15): 2452-2459. Zhang Liangxian, Chen Mosheng, Peng Zongren, et al.Study on the harmonic losses of UHV converter transformer windings subject to non-sinusoidal load current[J]. Proceedings of the CSEE, 2014, 34(15): 2452-2459. [5] Fu Qiang, Zhu Jiaojiao, Mao Zhihong, et al.Online condition monitoring of onboard traction transformer core based on core-loss calculation model[J]. IEEE Transactions on Industrial Electronics, 2018, 65(4): 3499-3508. [6] 潘超, 王格万, 蔡国伟, 等. 交直流混杂模式下变压器励磁电流谐波与箱体损耗映射研究[J]. 电工技术学报, 2019, 34(13): 2830-2838. Pan Chao, Wang Gewan, Cai Guowei, et al.Research on maping from excitation current harmonic to tank loss for AC-DC hybrid operation of transformer[J]. Transactions of China Electrotechnical Society, 2019, 34(13): 2830-2838. [7] 郭满生, 梅桂华, 刘东升, 等. 直流偏磁条件下电力变压器铁心B-H曲线及非对称励磁电流[J]. 电工技术学报, 2009, 24(5): 46-51, 59. Guo Mansheng, Mei Guihua, Liu Dongsheng, et al.B-H curve based on core and asymmetric magnetizing current in DC-biased transformers[J]. Transactions of China Electrotechnical Society, 2009, 24(5): 46-51, 59. [8] Bai Baodong, Chen Zhiwei, Chen Dezhi.DC bias elimination and integrated magnetic technology in power transformer[J]. IEEE Transactions on Magnetics, 2015, 51(11): 1-4. [9] Baguley C A, Madawala U K, Carsten B.The impact of vibration due to magnetostriction on the core losses of ferrite toroidals under DC bias[J]. IEEE Transactions on Magnetics, 2011, 47(8): 2022-2028. [10] Cheng Z, Hu Q, Gao S, et al.An engineering-oriented loss model (Problem 21)[C]//Proceedings of the International TEAM Workshop, Miami, 1993: 137-143. [11] Cheng Z, Takahashi N, Forghani B, et al.3-D finite element modeling and validation of power frequency multishielding effect[J]. IEEE Transactions on Magnetics, 2012, 48(2): 243-246. [12] Zhao Xiaojun, Wang Jiawen, Liu Lanrong, et al.Calculation and validation of stray-field loss in magnetic and non-magnetic components under harmonic magnetizations based on TEAM Problem 21[J]. IET Electric Power Applications, 2020, 14(3): 367-374. [13] Zhang Changgeng, Li Yongjian, Li Jingsong, et al.Measurement of three-dimensional magnetic properties with feedback control and harmonic compensation[J]. IEEE Transactions on Industrial Electronics, 2017, 64(3): 2476-2485. [14] 刘刚, 孙立鹏, 王雪刚, 等. 正弦及谐波激励下的铁心损耗计算方法改进及仿真应用[J]. 电工技术学报, 2018, 33(21): 4909-4918. Liu Gang, Sun Lipeng, Wang Xuegang, et al.Improvement of core loss calculation method and simulation application under sinusoidal and harmonic excitations[J]. Transactions of China Electrotechnical Society, 2018, 33(21): 4909-4918. [15] Liu Yaqing, Zhang Dandan, Li Zhenbiao, et al.Study of the stray losses calculation in structural parts for HVDC converter transformers based on the TEAM problem 21 family[J]. IEEE Transactions on Power Delivery, 2016, 31(2): 605-612. [16] 张俊杰, 李琳, 刘兰荣, 等. 进入硅钢叠片内的漏磁通和附加损耗的模拟实验与仿真[J]. 电工技术学报, 2013, 28(5): 148-153. Zhang Junjie, Li Lin, Liu Lanrong, et al.Measurement and 3D FEM analysis of additional loss in laminated silicon sheets caused by leakage flux[J]. Transactions of China Electrotechnical Society, 2013, 28(5): 148-153. [17] 李龙女, 李岩, 井永腾, 等. 电力变压器漏磁场与杂散损耗计算的研究[J]. 电工技术学报, 2013, 28(增刊2): 122-127. Li Longnü, Li Yan, Jing Yongteng, et al.Research of leakage magnetic field and stray loss calculation in power transformer[J]. Transactions of China Electrotechnical Society, 2013, 28(S2): 122-127. [18] 赵志刚, 赵新丽, 程志光, 等. HVDC中电力变压器直流偏磁屏蔽效应研究[J]. 电工技术学报, 2014, 29(7): 45-52. Zhao Zhigang, Zhao Xinli, Cheng Zhiguang, et al.Research on the shielding effects of power transformer under DC-biased condition in HVDC[J]. Transactions of China Electrotechnical Society, 2014, 29(7): 45-52. [19] 段娜娜, 徐伟杰, 李永建, 等. 一种考虑温度和压力影响的磁滞模型及其实验验证[J]. 电工技术学报, 2019, 34(13): 2686-2692. Duan Nana, Xu Weijie, Li Yongjian, et al.A temperature and stress dependent hysteresis model with experiment validation[J]. Transactions of China Electrotechnical Society, 2019, 34(13): 2686-2692. [20] 陈龙, 易琼洋, 贲彤, 等. 全局优化算法在Preisach磁滞模型参数辨识问题中的应用与性能对比[J]. 电工技术学报, 2021, 36(12): 2585-2593, 2606. Chen Long, Yi Qiongyang, Ben Tong, et al.Application and performance comparison of global optimization algorithms in the parameter identification problems of the Preisach hysteresis model[J]. Transactions of China Electrotechnical Society, 2021, 36(12): 2585-2593, 2606. [21] Yoshioka T, Tsuge T, Takahashi Y, et al.Iron loss estimation method for silicon steel sheet taking account of DC-biased conditions[J]. IEEE Transactions on Magnetics, 2019, 55(6): 1-4. [22] Cheng Z, Forghani B, Du Z, et al. TEAM Problem 21 Family(V.2021)[M/OL]. www.compumag.org/wp/team. [23] 张长庚, 杨庆新, 李永建. 电工软磁材料旋转磁滞损耗测量及建模[J]. 电工技术学报, 2017, 32(11): 208-216. Zhang Changgeng, Yang Qingxin, Li Yongjian.Measurement and modeling of rotational hysteresis loss of electric soft magnetic material[J]. Transactions of China Electrotechnical Society, 2017, 32(11): 208-216.
2022, Vol. 37 
