Abstract：The primary-series secondary-parallel (PSSP) structure is widely applied in power transformer to optimize the current density of secondary winding. When the operating frequency of PSSP transformer is set above to be medium frequency, the circulating current often occurs in the parallel secondary windings. A coupling analytical model is developed to analyze the circulating current. The corner frequency is used to characterize the extreme point of the circulating current proportional coefficient. Then, the investigation on the effects of asymmetric coupling and resistance on equivalent winding resistance is presented. The accuracy of developed analytical model and corner-frequency formulas for the corner frequency is validated by measured results.
王瑞田, 赵治华, 肖飞, 张新生, 杨国润. 中频变压器并联绕组环流的频率特性及其对等效电阻的影响分析[J]. 电工技术学报, 2020, 35(zk1): 251-258.
Wang Ruitian, Zhao Zhihua, Xiao Fei, Zhang Xinsheng, Yang Guorun. Investigation of Frequency Characteristics and Effect on Winding Equivalent Resistance of Circulating Current in Medium-Frequency Transformer. Transactions of China Electrotechnical Society, 2020, 35(zk1): 251-258.
[1] 赵争鸣, 施博辰, 朱义诚. 对电力电子学的再认识——历史、现状及发展[J]. 电工技术学报, 2017, 32(12): 5-15. Zhao Zhengming, Shi Bochen, Zhu Yicheng.Recon- sideration on power electronics: the past, present and future[J]. Transactions of China Electrotechnical Society, 2017, 32(12): 5-15. [2] IEEEStd 1709TM2010 IEEE recommended practice for 1kV to 35kV medium-voltage DC power systems on ships[S]. New York: IEEE Industry Applications Society, 2010. [3] 汤广福, 罗湘, 魏晓光. 多端直流输电与直流电网技术[J]. 中国电机工程学报, 2013, 33(10): 8-17. Tang Guangfu, Luo Xiang, Wei Xiaoguang.Multi- terminal HVDC and DC-grid technology[J]. Proceedings of the CSEE, 2013, 33(10): 8-17. [4] Yang Guorun, Xiao Fei, Fan Xuexin, et al.Three- phase three-level phase shifted PWM DC-DC converter for electric ship MVDC application[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2017, 5(1): 162-170. [5] 张雪垠, 徐永海, 肖湘宁. 适用于中高压配电网的高功率密度谐振型级联H桥固态变压器[J]. 电工技术学报, 2018, 33(2): 310-321. Zhang Xueyin, Xu Yonghai, Xiao Xiangning.A high power density resonance cascaded H-bridge solid- state transformer for medium and high voltage distri- bution network[J]. Transactions of China Electro- technical Society, 2018, 33(2): 310-321. [6] 赵争鸣, 刘方, 陈凯楠. 电动汽车无线充电技术研究综述[J]. 电工技术学报, 2016, 31(20): 30-40. Zhao Zhengming, Liu Fang, Chen Kainan.New progress of wireless charging technology for electric vehicles[J]. Transactions of China Electrotechnical Society, 2016, 31(20): 30-40. [7] 杨海军, 陈为, 卢增艺. 采用永磁体预偏磁的高频功率电感设计方案[J]. 中国电机工程学报, 2011, 31(24): 52-58. Yang Haijun, Chen Wei, Lu Zengyi.Scheme and design on high-frequency power inductor with magnet pre-bias[J]. Proceedings of the CSEE, 2011, 31(24): 52-58. [8] 律方成, 郭云翔, 付超, 等. 基于磁链分区的大功率中频变压器漏感参数计算方法[J]. 电工技术学报, 2016, 31(5): 164-169. Lü Fangcheng, Guo Yunxiang, Fu Chao, et al.Calculation method for leakage inductance of high power medium frequency transformers based on flux linkage partition[J]. Transactions of China Electro- technical Society, 2012, 31(5): 164-169. [9] 中国钢铁工业协会. YB/T 5224-2006. 中频用电工钢薄带[S]. 北京: 冶金工业出版社, 2006. [10] 赵争菡, 汪友华, 凌跃胜, 等. 大容量高频变压器绕组损耗的计算与分析[J]. 电工技术学报, 2014, 29(5): 261-264. Zhao Zhenghan, Wang Youhua, Ling Yuesheng, et al.Calculation and analysis of loss in high-capacity high-frequency transformers[J]. Transactions of China Electrotechnical Society, 2014, 29(5): 261-264. [11] 许加柱, 梁湘湘, 姚新丽, 等. 基于等效单匝电感矩阵的多绕组变压器复合短路阻抗及环流计算[J]. 中国电机工程学报, 2011, 31(34): 135-141. Xu Jiazhu, Liang Xiangxiang, Yao Xinli, el al. Calculation of the composite short-circuit impedance and circulating current based on the equivalent single-turn inductance matrix[J]. Proceedings of the CSEE, 2011, 31(34): 135-141. [12] Li Xiaosong, Chen Qiaofu, Sun Jianbo, et al.Analysis of magnetic field and circulating current for HTS transformer windings[J]. IEEE Transactions on Applied Superconductivity, 2005, 15(3): 3808-3813. [13] Otter A J.Current distribution in parallel paths of the coils of a 50Hz prototype dipole magnet[J]. IEEE Transactions on Magnetics, 1996, 32(4): 3077-3080. [14] Nabaei V, Mousavi S A, Miralikhani K, et al.Balancing current distribution in parallel windings of furnace transformers using the genetic algorithm[J]. IEEE Transactions on Magnetics, 2010, 46(2): 626-629. [15] Xie Bingruo, Li Xiaosong, Chen Qiaofu, et al.Calculation of the circulating current and short- circuit impedance of a 3000kVA HTS transformer with split types of windings[C]//International Conference on Electrical Machines and Systems (ICEMS), Seoul, Korea, 2007: 1291-1295. [16] Wang Ruitian, Xiao Fei, Zhao Zhihua, et al.Effects of asymmetric coupling on winding AC resistance in medium- frequency high-power transformer[J]. IEEE Transactions on Magnetics, 2014, 50(11): 8402304. [17] McLyman W T. 变压器与电感器设计手册[M]. 北京: 中国电力出版社, 2009.
2020, Vol. 35 
