Three-Winding Coupled Inductor and Its Design Method for Interleaved Vienna Rectifiers
Wang Kaiguo1, Gong Jinwu1, Pan Shangzhi1, Yuan Shixin2, Sun Zongchang2
1. Hubei Key Laboratory of Power Equipment &System Security for Integrated Energy Wuhan University Wuhan 430072 China; 2. Bull Group New Energy Division Shenzhen 518057 China
Abstract：Interleaved Vienna rectifiers have been adopted extensively, enhancing power output capability, dispersing loss distribution, improving equivalent switching frequency, and reducing current ripple at the grid side. In the traditional separated scheme, the connecting inductor between the power grid and the converter generally comprises two magnetic components, a filter inductor and a tightly coupled inductor connected in series. The filter inductor is used to attenuate the high-frequency component of the grid current. The tightly coupled inductor forms a large equivalent inductance in the circulating current path to primarily reduce the amplitude of the circulating current between the bridge arms. Both are essential components of the interleaved Vienna rectifier. However, the utilization ratio of the tightly coupled inductor to the magnetic core is low, and two magnetic elements will occupy a larger PCB area. These two reasons make it difficult to improve the power density and efficiency of the interleaved system. This paper proposes a three-winding coupled inductor that integrates the filter inductor and the coupled inductor on a single magnetic core. The flux in the magnetic core is evenly distributed, and the number of turns of the winding is reduced by reusing the magnetic core and the winding. Firstly, the structure of the proposed three-winding coupled inductor is given, and its equivalent circuit model is analyzed to obtain the relationship between its equivalent fundamental inductance, equivalent circulating inductance, and the self-inductance and mutual inductance of each winding. Secondly, the magnetic circuit model is analyzed to obtain the relationship between each winding’s self and mutual inductances and each magnetic circuit’s magnetic resistance. Then, the design method is given considering the air leakage path, and a three-winding coupled inductor with a rated current of 60 A (RMS value) is designed. Compared with the traditional separated scheme and the two-winding weakly coupled inductor scheme, the DC resistance of the designed three-winding coupled inductor is reduced by 35% and 11%, respectively, with the filter capacity, core volume, core saturation, and winding current density unchanged. The 40 kW three-phase Vienna rectifier using the three-winding coupled inductor achieves a maximum efficiency of 98.5%. In view of the low utilization of the magnetic core of the tightly coupled inductor in the interleaved Vienna rectifier, this paper proposes a three-winding coupled inductor using integrated magnetic. The proposed inductor reduces losses and improves the power density of the device. Finite element simulation has proved the feasibility and effectiveness of the three-winding coupled inductor. The experiment on the prototype of an interleaved three-phase Vienna rectifier with a rated power of 40 kW proves that the designed three-winding coupled inductor has lower loss than the traditional separated scheme and the two-winding weakly coupled inductor scheme.
王开国, 宫金武, 潘尚智, 苑士鑫, 孙宗昌. 用于交错并联Vienna整流器的三绕组耦合电感及其设计方法[J]. 电工技术学报, 2025, 40(24): 7984-7998.
Wang Kaiguo, Gong Jinwu, Pan Shangzhi, Yuan Shixin, Sun Zongchang. Three-Winding Coupled Inductor and Its Design Method for Interleaved Vienna Rectifiers. Transactions of China Electrotechnical Society, 2025, 40(24): 7984-7998.
[1] 姜卫东, 胡业波, 张庆岩, 等. 基于调制波分解的Vienna整流器的调制方法[J]. 电工技术学报, 2023, 38(16): 4339-4352. Jiang Weidong, Hu Yebo, Zhang Qingyan, et al.Modulation method of Vienna rectifier based on modulation wave decomposition[J]. Transactions of China Electrotechnical Society, 2023, 38(16): 4339-4352. [2] 汪凤翔, 杨奥, 于新红, 等. 基于自适应超螺旋滑模观测器的三相Vienna整流器无模型预测电流控制[J]. 电工技术学报, 2024, 39(6): 1859-1870. Wang Fengxiang, Yang Ao, Yu Xinhong, et al.Model-free predictive current control for three-phase Vienna rectifier based on adaptive super-twisting sliding mode observer[J]. Transactions of China Electrotechnical Society, 2024, 39(6): 1859-1870. [3] 王涛, 陈昌松, 段善旭, 等. 用于改善电流过零点畸变的Vienna整流器空间矢量调制策略[J]. 电工技术学报, 2019, 34(18): 3854-3864. Wang Tao, Chen Changsong, Duan Shanxu, et al.An improved space-vector modulation for Vienna rectifier to eliminating current distortion around zero-crossing point[J]. Transactions of China Elec- trotechnical Society, 2019, 34(18): 3854-3864. [4] Choi H W, Lee K B.Reduction method of circulating current in parallel three-level inverters using modified discontinuous pulse-width modulation based on inter- leaving scheme[J]. IEEE Transactions on Power Electronics, 2024, 39(2): 2322-2333. [5] 陈建良, 刘耀源, 张子旭, 等. 基于电流纹波预测的交错并联三相逆变器任意功率因数全范围软开关策略[J]. 中国电机工程学报, 2024, 44(22): 9003-9014. Chen Jianliang, Liu Yaoyuan, Zhang Zixu, et al.Current ripple prediction based full range soft switching method for two parallel interleaved three- phase inverters under any power factor[J]. Pro- ceedings of the CSEE, 2024, 44(22): 9003-9014. [6] 苏冰, 王玉斌, 王璠, 等. 基于耦合电感的多相交错并联双向DC-DC变换器及其均流控制[J]. 电工技术学报, 2020, 35(20): 4336-4349. Su Bing, Wang Yubin, Wang Fan, et al.Multi-phase interleaved bidirectional DC-DC converter with coupled inductors and current sharing control strategy[J]. Transactions of China Electrotechnical Society, 2020, 35(20): 4336-4349. [7] 杨玉岗, 马杰, 马云巧, 等. 多相交错并联磁集成双向DC/DC变换器中耦合电感的通用设计准则[J]. 中国电机工程学报, 2015, 35(23): 6122-6134. Yang Yugang, Ma Jie, Ma Yunqiao, et al.The universal design criterion of coupled inductors in multiphase interleaving and magnetically integrated bidirectional DC/DC converters[J]. Proceedings of the CSEE, 2015, 35(23): 6122-6134. [8] 王议锋, 王忠杰, 陈博, 等. 基于耦合电感的交错Boost变换器性能优化[J]. 电工技术学报, 2022, 37(8): 2097-2106. Wang Yifeng, Wang Zhongjie, Chen Bo, et al.Performance optimization of interleaved boost based on coupled inductors[J]. Transactions of China Electrotechnical Society, 2022, 37(8): 2097-2106. [9] Yang Yugang, Ma Jie, Ho C N, et al.A new coupled-inductor structure for interleaving bidire- ctional DC-DC converters[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2015, 3(3): 841-849. [10] 倪硕, 吴红飞, 陈君雨, 等. 交错并联临界导通模式Buck电感高密度集成与优化[J]. 电工技术学报, 2022, 37(18): 4688-4696. Ni Shuo, Wu Hongfei, Chen Junyu, et al.Integration and optimization of a high power density inductor for an interleaved critical conduction mode Buck converter[J]. Transactions of China Electrotechnical Society, 2022, 37(18): 4688-4696. [11] Liu Yue, Wu Hongfei, Ji Guosheng, et al.Optimized air-gap configuration for an integrated coupled inductor with lower height and reduced core/winding losses[J]. IEEE Transactions on Industry Applications, 2024, 60(2): 2980-2990. [12] 马小勇, 王萍, 王议锋, 等. 基于交错并联Boost变换器的耦合电感综合建模与多目标优化方法[J]. 电工技术学报, 2022, 37(24): 6399-6410. Ma Xiaoyong, Wang Ping, Wang Yifeng, et al.Comprehensive modeling and multi-objective opti- mization method for coupled inductors of interleaved Boost converters[J]. Transactions of China Elec- trotechnical Society, 2022, 37(24): 6399-6410. [13] 高圣伟, 王博, 孙醒涛. 一种交错并联双向DC-DC变换器的新型磁集成技术[J]. 中国电机工程学报, 2023, 43(9): 3538-3549. Gao Shengwei, Wang Bo, Sun Xingtao.A novel magnetic integration technology for interleaved parallel bidirectional DC-DC converters[J]. Pro- ceedings of the CSEE, 2023, 43(9): 3538-3549. [14] Xu Yuhang, Yang Xu, Dong Suchen, et al.S-shaped coil, four column design based on interleaved parallel PFC uncoupled inductor[C]//2022 IEEE International Power Electronics and Application Conference and Exposition (PEAC), Guangzhou, Guangdong, China, 2022: 1036-1040. [15] Wang Shuo.PCB-based heterogeneous integration of PFC/Inverter[D]. Virginia Polytechnic Institute and State University, 2023. [16] Zhang Di, Wang Fei, Burgos R, et al.Total flux minimization control for integrated inter-phase indu- ctors in paralleled, interleaved three-phase two-level voltage-source converters with discontinuous space- vector modulation[J]. IEEE Transactions on Power Electronics, 2012, 27(4): 1679-1688. [17] Zhang Xuning, Boroyevich D, Burgos R.Design and integration of interphase inductors for interleaved three phase voltage-source-inverters in DC-fed motor drive systems[C]//2014 International Power Elec- tronics Conference (IPEC-Hiroshima 2014-ECCE ASIA), Hiroshima, Japan, 2014: 2626-2631. [18] Gohil G, Bede L, Teodorescu R, et al.Magnetic integration for parallel interleaved VSCs connected in a whiffletree configuration[J]. IEEE Transactions on Power Electronics, 2016, 31(11): 7797-7808. [19] 魏琪康. 多相交错并联逆变器耦合特性分析与容错运行方法[D]. 武汉: 华中科技大学, 2018. Wei Qikang.Fault tolerant and coupling characteri- stics analysis for multiphase parallel interleaved inverter[D]. Wuhan: Huazhong University of Science and Technology, 2018. [20] 王涛. 三相三电平整流器输入电流特性分析及优化[D]. 武汉: 华中科技大学, 2021. Wang Tao.Analysis and optimization of input current for threephase three-level rectifier[D]. Wuhan: Huazhong University of Science and Technology, 2021. [21] 杨玉岗, 万冬, 张凯强. “目”字形耦合电感器的设计及应用[J]. 电工技术学报, 2016, 31(5): 35-43. Yang Yugang, Wan Dong, Zhang Kaiqiang.Design and application of the “UUUU” shape coupled inductor[J]. Transactions of China Electrotechnical Society, 2016, 31(5): 35-43. [22] McLyman C. 变压器与电感器设计手册(第四版)[M]. 周京华, 龚绍文, 译. 北京: 中国电力出版社, 2014.
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