周渝兖,刘沈全,姜绍艳,秦津宇,王钢
ZHOU Yuyan,LIU Shenquan,JIANG Shaoyan,QIN Jinyu,WANG Gang

• 1:华南理工大学
• 2:广东电网有限责任公司中山供电局

摘要(Abstract)：

M~3C（模块化多电平矩阵变换器）在电网分区互联等输入-输出侧频率相同的应用场景中，两侧电压与电流的耦合会引入额外的桥臂功率直流分量，从而引起桥臂功率失衡，须予以抑制。首先，分析了M~3C桥臂不平衡功率的产生机理与特性，当两侧电压幅值相近时，传统基于基频环流注入的均压策略将不再适用。然后，提出基于注入三倍频桥臂共模电压与环流的桥臂功率均衡策略，并以不增加桥臂电压幅值为约束，给出了三倍频共模电压的幅值与相位选取方法。其次，探讨了桥臂环流幅值随两侧电压变比及功率因数的变化规律。最后，基于MATLAB/Simulink仿真验证了所提策略的有效性。
In application scenarios such as the interconnection of partitioned power grids where the input and output frequencies of the modular multilevel matrix converter(M~3C) are identical, the coupling between the voltages and currents on both sides introduces an additional DC component into the arm power. This results in an arm power imbalance that must be mitigated. First, the generation mechanism and characteristics of this imbalance are analyzed, demonstrating that conventional balancing strategies based on fundamental-frequency circulating current injection become ineffective when the voltage magnitudes on both sides are comparable. Subsequently, a control strategy is proposed based on the injection of a third-harmonic arm common-mode voltage and circulating current. Subject to the constraint of not increasing the peak arm voltage, a method for selecting the optimal amplitude and phase of the third-harmonic common-mode voltage is derived. Furthermore, the relationship between the circulating current amplitude and the voltage transformation ratio and power factor is investigated. Finally, the effectiveness of the proposed strategy is validated through MATLAB/Simulink simulations.

关键词(KeyWords)： 模块化多电平矩阵变换器;电网分区互联;功率均衡;换流器控制
modular multilevel matrix converter;interconnected partitioned grid;power balancing;converter control

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金（52207103）;; 广东省基础与应用基础研究基金（2023A1515010343）

作者(Author): 周渝兖,刘沈全,姜绍艳,秦津宇,王钢
ZHOU Yuyan,LIU Shenquan,JIANG Shaoyan,QIN Jinyu,WANG Gang

DOI: 10.19585/j.zjdl.202607010

参考文献(References)：

• [1]周保荣，洪潮，金小明，等.南方电网同步运行网架向异步运行网架的转变研究[J].中国电机工程学报，2016,36(8):2084-2092.Zhou Baorong,Hong Chao,Jin Xiaoming,et al.Study of backbone structure change from synchronous to asynchronous in China southern power grid[J].Proceedings of the CSEE,2016,36(8):2084-2092.
• [2]林勇，陈允鹏，王志勇，等.广东电网目标网架方案论证与建议[J].南方电网技术，2020,14(3):42-48.Lin Yong,Chen Yunpeng,Wang Zhiyong,et al.Demonstration and suggestion on network scheme of Guangdong power system[J].Southern Power System Technology,2020,14(3):42-48.
• [3]唐晓骏，韩民晓，谢岩，等.应用于城市电网分区互联的柔性直流容量和选点配置方法[J].电网技术，2019,43(5):1709-1716.Tang Xiaojun,Han Minxiao,Xie Yan,et al.Capacity and siting configuration method of VSC-HVDC applied to urban power grid partition interconnection[J].Power System Technology,2019,43(5):1709-1716.
• [4]于汀，蒲天骄，刘广一，等.基于柔性直流分区互联的受端城市电网无功电压控制策略[J].高电压技术，2017,43(7):2140-2145.Yu Ting,Pu Tianjiao,Liu Guangyi,et al.Reactive power and voltage control strategy of receiving-end urban power grid with flexible DC interconnected between partitions[J].High Voltage Engineering,2017,43(7):2140-2145.
• [5]蔡晖，彭竹弈，祁万春，等.背靠背柔性直流输电技术在中心城区电网中的应用研究[J].电力电容器与无功补偿，2021,42(2):79-84.Cai Hui,Peng Zhuyi,Qi Wanchun,et al.Study on application of back-to-back flexible direct current transmission technology in central urban grid[J].Power Capacitor&Reactive Power Compensation,2021,42(2):79-84.
• [6]杨燕，金楚，程鑫，等.基于大湾区外环的柔性直流互联方案[J].南方电网技术，2021,15(3):15-21.Yang Yan,Jin Chu,Cheng Xin,et al.Flexible DC interconnection scheme based on the outer ring of GuangdongHong Kong-Macao greater bay area[J].Southern Power System Technology,2021,15(3):15-21.
• [7]方东平，丘扬，崔金栋，等.考虑电容电压纹波抑制的MMC最优降损控制策略[J].浙江电力，2025,44(7):82-92.Fang Dongping,Qiu Yang,Cui Jindong,et al.An optimal loss-reduction control strategy for MMC considering capacitor voltage ripple suppression[J].Zhejiang Electric Power,2025,44(7):82-92.
• [8]Liu S Q,Wang X F,Ning L H,et al.Integrating offshore wind power via fractional frequency transmission system[J].IEEE Transactions on Power Delivery,2017,32(3):1253-1261.
• [9]李晶，王钢，刘沈全，等.面向模块化多电平矩阵变换器双基频电气耦合特性的动态相量建模方法[J].高电压技术，2023,49(9):3774-3783.Li Jing,Wang Gang,Liu Shenquan,et al.Dynamic phasor modeling method for modular multilevel matrix converter considering the double-fundamental-frequency electrical coupling characteristics[J].High Voltage Engineering,2023,49(9):3774-3783.
• [10]倪晓军，丁超，唐英杰，等.柔性低频输电系统高频谐振问题研究[J].浙江电力，2025,44(6):109-117.Ni Xiaojun,Ding Chao,Tang Yingjie,et al.Research on high-frequency resonance in flexible low-frequency AC transmission systems[J].Zhejiang Electric Power,2025,44(6):109-117.
• [11]李姝玉，于弘洋，葛菁，等.双端口矩阵变换器在工/低频电网互联下的电容及电压波动特性分析[J].电网技术，2020,44(4):1437-1444.Li Shuyu,Yu Hongyang,Ge Jing,et al.Analysis of capacitance and voltage fluctuation characteristics of two-port matrix converter under power/low frequency interconnection[J].Power System Technology,2020,44(4):1437-1444.
• [12]程启明，张梁，渠博岗，等.面向海上风电的M3C双频环流注入桥臂均压控制策略[J].智慧电力，2025,53(5):73-81.Cheng Qiming,Zhang Liang,Qu Bogang,et al.Dualfrequency circulating current injection-based arm voltage balancing control strategy for M3C in offshore wind power applications[J].Smart Power,2025,53(5):73-81.
• [13]李静正，杜晓通，李猛.海上柔性低频输电线路高频暂态量单端保护[J].电力建设，2025,46(8):105-115.Li Jingzheng,Du Xiaotong,Li Meng.Single-ended protection scheme for offshore flexible low-frequency transmission lines based on high-frequency transient quantities[J].Electric Power Construction,2025,46(8):105-115.
• [14]韩华春，宁联辉，李辰辰，等.海上风电M3C换流器虚拟同步发电机控制[J].电力工程技术，2024,43(6):78-87.Han Huachun,Ning Lianhui,Li Chenchen,et al.Virtual synchronous generator control strategy of M3C converter in fractional frequency offshore wind power system[J].Jiangsu Electrical Engineering,2024,43(6):78-87.
• [15]吴小丹，李建春，董云龙，等.面向低频海上风电送出的模块化多电平矩阵变换器综合解耦控制策略[J].中国电机工程学报，2023,43(8):3177-3190.Wu Xiaodan,Li Jianchun,Dong Yunlong,et al.Comprehensive decoupling control strategy for modular multilevel matrix converter for low frequency offshore wind power transmission[J].Proceedings of the CSEE,2023,43(8):3177-3190.
• [16]Fan B R,Wang K,Wheeler P,et al.A branch current reallocation based energy balancing strategy for the modular multilevel matrix converter operating around equal frequency[J].IEEE Transactions on Power Electronics,2018,33(2):1105-1117.
• [17]Kawamura W,Hagiwara M,Akagi H.A broad range of frequency control for the modular multilevel cascade converter based on triple-star bridge-cells (MMCC-TSBC)[C]//2013 IEEE Energy Conversion Congress and Exposition.September 15-19,2013,Denver,CO,USA.IEEE,2013:4014-4021.
• [18]Urrutia M,Cárdenas R,Clare J C,et al.Continuous set model predictive control for energy management of modular multilevel matrix converters[J].IEEE Transactions on Power Electronics,2022,37(5):5731-5748.
• [19]Cuzmar R,Montenegro A,Mora A,et al.Constrained MPC for intercluster energy control of modular multilevel matrix converters[J].IEEE Transactions on Industrial Electronics,2024,71(7):7766-7776.
• [20]Kawamura W,Chiba Y,Hagiwara M,et al.Experimental verification of an electrical drive fed by a modular multilevel TSBC converter when the motor frequency gets closer or equal to the supply frequency[J].IEEE Transactions on Industry Applications,2017,53(3):2297-2306.
• [21]Diaz M,Cardenas R,Espinoza M,et al.Vector control of a modular multilevel matrix converter operating over the full output-frequency range[J].IEEE Transactions on Industrial Electronics,2019,66(7):5102-5114.
• [22]Yue S X,Ji Y,Wang Q Y,et al.Closed-loop decoupled control and implementation of the modular multilevel matrix converter in similar/equal frequency operation[C]//2020 IEEE 9th International Power Electronics and Motion Control Conference (IPEMC2020-ECCE Asia).November 29-December 2,2020.Nanjing,China.IEEE,2020:3385-3390.