Dual-Dimensional Collaborative Feeding Loss Optimization Strategy for High-Speed Maglev Traction Power Supply Systems
Zheng Yanxi1,2, Zhu Jinquan1, Ge Qiongxuan1,2, Zhao Mutian1, Gao Rui1,2
1. State Key Laboratory of High Density Electromagnetic Power and Systems Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100190 China; 2. University of Chinese Academy of Sciences Beijing 100049 China
Abstract：High-speed maglev traction power supply systems feature a configuration where parallel inverters supply power to the segmented long-stator from both ends. As a result, circulating currents and feeding network losses adversely affect the energy efficiency of the traction system. While several solutions addressing circulating currents in parallel inverters have been proposed recently, existing research rarely analyzes or addresses this issue from the perspective of overall traction power supply system efficiency. This paper proposes a dual-dimensional collaborative optimization strategy that integrates dynamic current allocation with traction substation layout design. This approach suppresses circulating currents, reduces feeding network losses, and enhances traction efficiency for high-speed maglev traction power supply systems under both high-speed testing and normal operation scenarios. Firstly, a collaborative optimization model is developed to suppress circulating currents and minimize feeding network losses simultaneously. A dynamic current allocation strategy is proposed based on the principle of inverse proportionality to cable length. This strategy ensures that the output currents of parallel inverters are dynamically adjusted according to the length of the connected feeding cables, thus achieving minimal circulating currents and reduced feeding losses. Secondly, the study introduces differentiated optimization designs for traction substation layouts to optimize feeding network losses, considering the constraints of inverter capacity and system topology. Hardware-in-the-loop (HIL) experimental results validate the effectiveness of the proposed strategies. The dynamic current allocation strategy successfully eliminates circulating currents between parallel inverters and reduces feeding network losses by up to 50.3%. Furthermore, the optimized traction substation layouts address unbalanced power distribution among inverters caused by current allocation adjustments. For high-speed testing conditions, the dual symmetric offset configuration (DSOC) strategy achieves the lowest feeding network loss of 88.71 kW·h and a traction efficiency of 81.5%. The dual midpoint co-located configuration (DMCC) strategy achieves a higher traction efficiency of 84.4% with a feeding loss of 131.85 kW·h. Still, it requires fewer traction substations, thereby reducing infrastructure complexity and cost. In normal operation conditions, the operating conditions symmetric configuration (OCSC) strategy achieves the lowest feeding loss of 52.36 kW·h and a traction efficiency of 88.3%. In comparison, the operating conditions co-located configuration (OCCC) strategy achieves the highest traction efficiency of 90.3% with a feeding loss of 131.29 kW·h. DSOC and OCSC strategies offer superior performance in minimizing feeding losses, but necessitate the construction of two traction substations and high inverter power capacities. Conversely, DMCC and OCCC strategies provide balanced power distribution and enable single-substation deployment, reducing construction costs and simplifying system architecture. The dynamic current allocation strategy, grounded in the inverse proportionality principle, effectively balances the trade-off between feeding loss minimization and circulating current suppression. The differentiated substation layout designs provide scalable solutions for various operating scenarios, ensuring energy-efficient and cost-effective system operation. This paper offers valuable insights for the design and optimization of high-speed maglev traction power supply systems, contributing to the advancement of efficient and sustainable high-speed transportation.
[1] 陈冲, 贾利民, 赵天宇, 等. 去碳化导向的轨道交通与新能源融合发展——形态模式、解决方案和使/赋能技术[J]. 电工技术学报, 2023, 38(12): 3321-3337. Chen Chong, Jia Limin, Zhao Tianyu, et al.Decarbonization-oriented rail transportation and renewable energy integration development-configurations, solutions, and enabling/empowering technologies[J]. Transactions of China Electrotechnical Society, 2023, 38(12): 3321-3337. [2] 熊嘉阳, 沈志云, 池茂儒, 等. 高速磁悬浮列车技术综述[J]. 交通运输工程学报, 2025, 25(2): 1-23. Xiong Jiayang, Shen Zhiyun, Chi Maoru, et al.Review on high-speed maglev train technology[J]. Journal of Traffic and Transportation Engineering, 2025, 25(2): 1-23. [3] 高信迈, 张志强, 郑景文. 高速磁浮系统能耗与效率分析[J]. 科技创新与应用, 2023, 13(6): 30-36. Gao Xinmai, Zhang Zhiqiang, Zheng Jingwen.Energy consumption and efficiency analysis of high-speed maglev system[J]. Technology Innovation and Application, 2023, 13(6): 30-36. [4] 曹学谦, 葛琼璇, 朱进权, 等. 基于积分滑模的高速磁悬浮列车牵引控制策略[J]. 电工技术学报, 2022, 37(14): 3598-3607. Cao Xueqian, Ge Qiongxuan, Zhu Jinquan, et al.Traction-system research of high-speed maglev train based on integral sliding mode control[J]. Transactions of China Electrotechnical Society, 2022, 37(14): 3598-3607. [5] Zhang Peng, Wu Xuezhi, Lin Zhiheng, et al.Integration modulation for current ripple and highfrequency zero-sequence circulating current reduction on two-parallel three-level converters[J]. IEEE Transactions on Industrial Electronics, 2023, 71(8): 8216-8226. [6] Porkia H A, Adabi J, Zare F.Reduction of zerosequence and differential-mode circulating currents and common-mode voltage in parallel PWM converters[J]. IEEE Transactions on Industrial Electronics, 2023, 70(4): 4038-4047. [7] Jiang Dong, Shen Zewei, Wang Fei.Common-mode voltage reduction for paralleled inverters[J]. IEEE Transactions on Power Electronics, 2017, 33(5): 3961-3974. [8] Cai Hui, Zhao Rongxiang, Yang Huan.Study on ideal operation status of parallel inverters[J]. IEEE Transactions on Power Electronics, 2008, 23(6): 2964-2969. [9] 张敏, 陈宏舟, 樊瑞, 等. 三电平变流器模块化并联系统中点电位与零序环流机理建模与协调控制[J]. 电工技术学报, 2025, 40(18): 6014-6028. Zhang Min, Chen Hongzhou, Fan Rui, et al.Modeling and coordinated control of neutral point potential and zero-sequence circulating current in modular parallel three-level converters[J]. Transactions of China Electrotechnical Society, 2025, 40(18): 6014-6028. [10] 刘金鑫, 葛琼璇, 王晓新, 等. 高速磁浮牵引控制系统半实物实验研究[J]. 电工技术学报, 2015, 30(14): 497-503. Liu Jinxin, Ge Qiongxuan, Wang Xiaoxin, et al.Hardware-in-loop research of traction-system for high-speed maglev[J]. Transactions of China Electrotechnical Society, 2015, 30(14): 497-503. [11] 谭强. 高速磁浮列车双端供电技术研究[D]. 北京: 中国科学院电工研究所, 2018. Tan Qiang.Technical research on double-end supply for high-speed maglev[D]. Beijing: Institute of Electrical Engineering, Chinese Academy of Sciences, 2018. [12] 朱进权, 葛琼璇, 孙鹏琨, 等. 高速磁悬浮列车在双端供电模式下的电流控制策略[J]. 电工技术学报, 2021, 36(23): 4937-4947. Zhu Jinquan, Ge Qiongxuan, Sun Pengkun, et al.Current control strategy for high-speed maglev in the dual feeding mode[J]. Transactions of China Electrotechnical Society, 2021, 36(23): 4937-4947. [13] 葛琼璇, 张波, 韦榕, 等. 高速磁浮交通牵引供电与控制技术现状及展望[J]. 前瞻科技, 2023, 2(4): 89-95. Ge Qiongxuan, Zhang Bo, Wei Rong, et al.Present situation and prospect of traction power supply and control technologies for highspeed maglev transportation[J]. Science and Technology Foresight, 2023, 2(4): 89-95. [14] Sawada K.Outlook of the superconducting maglev[J]. Proceedings of the IEEE, 2009, 97(11): 1881-1885. [15] 吴祥明. 高速磁浮上海示范线的建设[J]. 同济大学学报(自然科学版), 2002, 30(7): 814-818. Wu Xiangming.Construction of Shanghai maglev demonstration line[J]. Journal of Tongji University, 2002, 30(7): 814-818. [16] Okui A, Fukada S, Kaga S, et al.Constitution and characteristics of neutral point clamped type inverter for driving LSM[C]//Conference Record of the Power Conversion Conference-Yokohama 1993, Yokohama, Japan, 1993: 38-43. [17] 朱进权, 葛琼璇, 张波, 等. 考虑悬浮系统影响的高速磁悬浮列车牵引控制策略[J]. 电工技术学报, 2022, 37(12): 3087-3096. Zhu Jinquan, Ge Qiongxuan, Zhang Bo, et al.Traction control strategy of high-speed maglev considering the influence of suspension system[J]. Transactions of China Electrotechnical Society, 2022, 37(12): 3087-3096. [18] Cao Xueqian, Ge Qiongxuan, Zhu Jinquan, et al.Improved sliding mode traction control combined sliding mode disturbance observer strategy for highspeed maglev train[J]. IEEE Transactions on Power Electronics, 2023, 38(1): 827-838. [19] 徐畅, 宫金武, 张国琴, 等. 中点钳位型三电平逆变器并联系统的零序环流抑制策略[J]. 电工技术学报, 2023, 38(增刊1): 124-135. Xu Chang, Gong Jinwu, Zhang Guoqin, et al.Zerosequence circulating current suppression strategy of neutral-point-clamped three-level inverter parallel system[J]. Transactions of China Electrotechnical Society, 2023, 38(S1): 124-135. [20] 刘沁怡, 黄伟煌, 郭铸, 等. 基于自适应虚拟阻抗的多并联构网型变流器无功功率分配策略[J]. 电力系统自动化, 2024, 48(15): 122-130. Liu Qinyi, Huang Weihuang, Guo Zhu, et al.Reactive power sharing strategy for multiple parallel gridforming converters based on adaptive virtual impedance[J]. Automation of Electric Power Systems, 2024, 48(15): 122-130. [21] 高瞻. 大功率三电平逆变器优化载波脉宽调制及容错技术研究[D]. 北京: 中国科学院电工研究所, 2021. Gao Zhan.Research on optimized carrier based PWM strategies and fault tolerant techniques for high power three level inverter[D]. Beijing: Institute of Electrical Engineering, Chinese Academy of Sciences, 2021. [22] Zhu Jinquan, Ge Qiongxuan, Sun Pengkun.Extended state observer-based sensorless control for high-speed maglev application in single-feeding mode and double-feeding mode[J]. IEEE Transactions on Transportation Electrification, 2022, 8(1): 1350-1361. [23] 王立天, 李力鹏. 高速磁悬浮牵引供电系统[M]. 北京: 北京交通大学出版社, 2014.
2026, Vol. 41 
