A Combined Modular Multilevel Matrix Converter Topology Suitable for Close or Equal Input-Output Frequencies
Tian Fengyuan1,2, Gong Jinwu1,2, Zha Xiaoming1,2, Pan Shangzhi1,2
1. School of Electrical Engineering and Automation Wuhan University Wuhan 430072 China; 2. Hubei Key Laboratory of Power Equipment & System Security for Integrated Energy Wuhan 430072 China
Abstract:The modular multilevel matrix converter (M3C) is a topology that directly implements AC-AC conversion and has advantages such as easy scalability, bidirectional energy flow, and modularity. It has broad application prospects in pumped-storage power plants, wind power plants, and motor drives. Since the M3C operates between two AC systems at different frequencies, its arm power contains a beat-frequency component determined by the difference between the input and output frequencies. When the input and output frequencies are close or equal, this beat-frequency power component manifests as low-frequency pulsations or even DC components, resulting in significant low-frequency fluctuations or DC offsets in the arm submodule capacitor voltages. In severe cases, it can cause the system to malfunction. Existing approaches primarily suppress capacitor-voltage fluctuations in submodules by injecting circulating current or by simultaneously injecting circulating current and common-mode voltages. These approaches come at the cost of increased voltage and current stresses on the converter, leading to higher losses. Therefore, this paper proposes a novel topology combining an M3C with a cascaded H-bridge. This configuration effectively reduces capacitor voltage fluctuations in submodules when input and output frequencies are close or equal, without increasing voltage and current stresses on the bridge arms. It retains the advantages of conventional M3C, such as modular design flexibility, low output harmonics, and scalability. First, a mathematical model of the combined M3C is established, and its operating principle is explained. Then, the mechanism of voltage fluctuations in M3C bridge-arm capacitors is analyzed, and a control method is proposed that uses a cascaded H-bridge to provide reactive power to the load, thereby reducing capacitor voltage fluctuations. Compared with conventional methods, the combined M3C achieves a smaller range of capacitor-voltage fluctuations while avoiding the injection of common-mode voltage or circulating currents. Additionally, the device costs, power loss, and current THD are lower than those of conventional methods. Finally, the feasibility and effectiveness of the proposed topology and its control strategy are verified through simulation and experiments. The main conclusions are as follows. (1) A mathematical model of the combined M3C topology is established, and its working principle is explained. In addition, the capacitor voltage fluctuations in the M3C bridge arms are analyzed. (2) A method with a cascaded H-bridge for capacitive compensation is proposed, where the load's reactive power is supplied by the cascaded H-bridge, thereby reducing capacitor voltage fluctuations in the M3C bridge arm submodules. (3) Compared to conventional methods, this approach does not need to inject common-mode voltage and circulating currents, reducing voltage and current stress on the bridge arms. Additionally, it minimizes fluctuations in arm capacitor voltages and reduces device costs and power losses. Finally, simulations and experiments validate the proposed topology and control strategy.
田丰源, 宫金武, 查晓明, 潘尚智. 适用于输入输出频率接近或相同的组合式模块化多电平矩阵变换器拓扑[J]. 电工技术学报, 2026, 41(14): 4799-4816.
Tian Fengyuan, Gong Jinwu, Zha Xiaoming, Pan Shangzhi. A Combined Modular Multilevel Matrix Converter Topology Suitable for Close or Equal Input-Output Frequencies. Transactions of China Electrotechnical Society, 2026, 41(14): 4799-4816.
[1] 郑涛, 康恒. 基于控保协同的柔性低频输电系统电流差动保护性能提升方案[J]. 电工技术学报, 2025, 40(7): 2162-2177. Zheng Tao, Kang Heng.Improvement of current differential protection performance of flexible low-frequency transmission system based on control and protection cooperation[J]. Transactions of China Electrotechnical Society, 2025, 40(7): 2162-2177. [2] 高晨景, 陈武晖, 张庚午, 等. 海上风电低频外送系统故障穿越分析[J]. 电工技术学报, 2026, 41(5): 1637-1652. Gao Chenjing, Chen Wuhui, Zhang Gengwu, et al.Fault ride-through analysis of offshore wind power low-frequency transmission system[J]. Transactions of China Electrotechnical Society, 2026, 41(5): 1637-1652. [3] 何佳伟, 魏杰, 戴魏, 等. 模块化多电平矩阵换流器接入下的工频故障特性分析[J]. 电力系统自动化, 2024, 48(21): 49-60. He Jiawei, Wei Jie, Dai Wei, et al.Analysis of power frequency fault characteristics under integration of modular multilevel matrix converter[J]. Automation of Electric Power Systems, 2024, 48(21): 49-60. [4] 李峰, 王广柱. 模块化多电平矩阵变换器输入输出频率相近时低频运行控制策略[J]. 电工技术学报, 2016, 31(22): 107-114. Li Feng, Wang Guangzhu.Control strategy for low frequency operation of modular multilevel matrix converters with similar input and output frequen-cies[J]. Transactions of China Electrotechnical Society, 2016, 31(22): 107-114. [5] 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. [6] Fan Boran, Wang Kui, 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. [7] Liu Shenquan, Zhao Boyang, Chen Yongan, et al.Optimal arm current reallocation of modular multi-level matrix converter dedicated for power grid interconnection[J]. IEEE Transactions on Power Delivery, 2022, 37(5): 3477-3490. [8] Liu Siyang, Zhu Haotian, Zhao Xiangyu, et al.Low-frequency circulating current injection in eight-component control for modular multilevel matrix converter under equal frequency[J]. IEEE Transac-tions on Power Electronics, 2024, 39(12): 16217-16230. [9] Kawamura W, Chiba Y, Akagi H.A broad range of speed control of a permanent magnet synchronous motor driven by a modular multilevel TSBC con-verter[J]. IEEE Transactions on Industry Applications, 2017, 53(4): 3821-3830. [10] 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. [11] 岳士新. 模块化多电平矩阵变换器的宽频率运行控制策略研究[D]. 杭州: 浙江大学, 2021. Yue Shixin.Research on control strategy of modular multilevel matrix converter for wide frequency operation[D]. Hangzhou: Zhejiang University, 2021. [12] 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. [13] Cuzmar R H, Mora A, Pereda J, et al.Com-putationally efficient MPC for modular multilevel matrix converters operating with fixed switching frequency[J]. IEEE Open Journal of the Industrial Electronics Society, 2023, 4: 748-761. [14] Cuzmar R H, Mora A, Pereda J, et al.An improved reference generator based on MPC of circulating currents and common-mode voltage for modular multilevel matrix converters[J]. IEEE Transactions on Industrial Electronics, 2025, 72(2): 1958-1968. [15] 刘健. 模块化多电平矩阵变换器的控制策略研究[D]. 杭州: 浙江大学, 2019. Liu Jian.Research on control strategies of modular multilevel matrix converter[D]. Hangzhou: Zhejiang University, 2019. [16] 王涵宇, 邱荣禄, 吴家伟, 等. 基于模块选择的级联H桥型静止无功发生器直流侧电容在线状态监测策略[J]. 电工技术学报, 2025, 40(4): 1169-1179. Wang Hanyu, Qiu Ronglu, Wu Jiawei, et al.Online condition monitoring strategy of capacitors in cascaded-H-bridge static var generator based on module selection[J]. Transactions of China Electro-technical Society, 2025, 40(4): 1169-1179. [17] 刘议泽, 吴学智, 刘京斗, 等. 悬浮电容H桥级联七电平逆变器的混合载波频率调制策略[J]. 电工技术学报, 2024, 39(22): 7167-7181. Liu Yize, Wu Xuezhi, Liu Jingdou, et al.Hybrid carrier frequency modulation strategy for floating capacitor H-bridge cascaded seven-level inverter[J]. Transactions of China Electrotechnical Society, 2024, 39(22): 7167-7181. [18] 魏缪宇, 陆道荣, 吴天红, 等. 不平衡电网下混合级联型STATCOM负序电流控制策略[J]. 电力系统自动化, 2025, 49(17): 186-197. Wei Miaoyu, Lu Daorong, Wu Tianhong, et al.Negative-sequence current control strategy for hybrid cascaded STATCOM in unbalanced power grid[J]. Automation of Electric Power Systems, 2025, 49(17): 186-197. [19] 袁可为. 静止同步串联补偿器抑制风电次同步振荡的研究[D]. 北京: 华北电力大学, 2019. Yuan Kewei.Research on mitigation of sub-synchronous oscillation in wind power system by static synchronous series compensator[D]. Beijing: North China Electric Power University, 2019. [20] 崔颖. 级联H桥式无变压器SSSC控制策略及半实物仿真研究[D]. 合肥: 安徽大学, 2020. Cui Ying.Study on control strategy and semi-physical simulation of cascaded H-bridge transformer-less SSSC[D]. Hefei: Anhui University, 2020. [21] 何梦超. 模块化多电平矩阵变换器阀级控制与主电路参数优化[D]. 北京: 华北电力大学, 2023. He Mengchao.Valve control and optimization of main circuit parameters for modular multilevel matrix converter[D]. Beijing: North China Electric Power University, 2023. [22] 刘慧威. 静止同步串联补偿器的数学建模及其仿真研究[D]. 北京: 华北电力大学, 2006. Liu Huiwei.Mathematic model building and simu-lation research of SSSC[D]. Beijing: North China Electric Power University, 2006. [23] 侯玉超, 郭祺, 涂春鸣, 等. 面向输出性能优化的高低频混合型模块化多电平变换器及其调控策略[J]. 电工技术学报, 2024, 39(14): 4467-4479. Hou Yuchao, Guo Qi, Tu Chunming, et al.A high and low frequency hybrid modular multilevel converter for output performance optimization and its control strategy[J]. Transactions of China Electrotechnical Society, 2024, 39(14): 4467-4479. [24] 郝任一凡. 级联型SVG无功控制策略及降损方法研究[D]. 长沙: 湖南大学, 2019. Hao Renyifan.The research on reactive power control strategies and loss reduction methods of cascaded SVG[D]. Changsha: Hunan University, 2019.