高红梅,李勇,孟祥丞,王志浩,张海城,张琳,鲍威宇
GAO Hongmei,LI Yong,MENG Xiangcheng,WANG Zhihao,ZHANG Haicheng,ZHANG Lin,BAO Weiyu

• 1:国网山东省电力公司滨州供电公司
• 2:山东大学电气工程学院

摘要(Abstract)：

基于直流电容电压动态的匹配控制是一种常见的构网型控制方式，其通过电容电压方程与转子运动方程间的等效关系构建基本控制逻辑。然而，由于直流电容上没有天然的物理阻尼，其运行时易因直流电压波动而耦合产生低频振荡问题。通过在直流电容上附加电阻虽然可以避免振荡，但也会带来较大的功率损耗。因此，从能量视角出发，揭示了直流电压波动产生低频振荡的能量本质。基于对暂态能量的分析，提出了一种改进的匹配控制方法，该方法增加了高通滤波反馈回路，以实现对暂态能量的快速耗散。最后，通过仿真验证了该方法的有效性，使匹配控制的低频振荡问题得到了缓解。
Matching control based on the dynamics of the DC-link capacitor voltage is a widely used grid-forming(GFM) control approach. Its basic control logic is established by leveraging the equivalence between the capacitor voltage equation and the rotor motion equation. However, because the DC-link capacitor inherently lacks physical damping, fluctuations in the DC voltage can easily couple into low-frequency oscillations during operation. Although adding a resistor across the capacitor can prevent such oscillations, it also introduces considerable power loss. From an energy-based perspective, this paper reveals the fundamental energy mechanism by which DC voltage fluctuations induce low-frequency oscillations. Based on an analysis of transient energy, an enhanced matching control method is proposed, which incorporates a high-pass filtered feedback loop to achieve rapid dissipation of transient energy. Finally, simulation results verify the effectiveness of the proposed method, demonstrating that it alleviates the low-frequency oscillation associated with matching control.

关键词(KeyWords)： 构网型变流器;匹配控制;稳定性分析;能量视角;虚拟阻尼
grid-forming converter;matching control;stability analysis;energy-based perspective;virtual damping

Abstract:

Keywords:

基金项目(Foundation): 山东省自然科学基金青年基金（ZR2024QE189）;; 国网山东省电力公司科技项目（520615240002）

作者(Author): 高红梅,李勇,孟祥丞,王志浩,张海城,张琳,鲍威宇
GAO Hongmei,LI Yong,MENG Xiangcheng,WANG Zhihao,ZHANG Haicheng,ZHANG Lin,BAO Weiyu

DOI: 10.19585/j.zjdl.202604009

参考文献(References)：

• [1]袁小明，张美清，迟永宁，等.电力电子化电力系统动态问题的基本挑战和技术路线[J].中国电机工程学报，2022,42(5):1904-1917.YUAN Xiaoming,ZHANG Meiqing,CHI Yongning,et al. Basic challenges of and technical roadmap to powerelectronized power system dynamics issues[J]. Proceedings of the CSEE,2022,42(5):1904-1917.
• [2]黄萌，凌扬坚，耿华，等.功率同步控制的构网型变流器多机交互分析与稳定控制研究综述[J].高电压技术，2023,49(11):4571-4583.HUANG Meng,LING Yangjian,GENG Hua,et al. An overview on multi-VSCs interaction analysis and stability controls of grid-forming converters with power synchronization control[J]. High Voltage Engineering,2023,49(11):4571-4583.
• [3]HUANG L B,XIN H H,WANG Z,et al.Transient stability analysis and control design of droop-controlled voltage source converters considering current limitation[J].IEEE Transactions on Smart Grid,2019,10(1):578-591.
• [4]吕志鹏，盛万兴，刘海涛，等.虚拟同步机技术在电力系统中的应用与挑战[J].中国电机工程学报，2017,37(2):349-360.L??Zhipeng,SHENG Wanxing,LIU Haitao,et al.Application and challenge of virtual synchronous machine technology in power system[J]. Proceedings of the CSEE,2017,37(2):349-360.
• [5]张琛，蔡旭，李征.具有自主电网同步与弱网稳定运行能力的双馈风电机组控制方法[J].中国电机工程学报，2017,37(2):476-486.ZHANG Chen,CAI Xu,LI Zheng. Control of DFIGbased wind turbines with the capability of automatic gridsynchronization and stable operation under weak grid condition[J].Proceedings of the CSEE,2017,37(2):476-486.
• [6]ZHONG Q C,MA Z Y,MING W L,et al.Grid-friendly wind power systems based on the synchronverter technology[J]. Energy Conversion and Management,2015,89:719-726.
• [7]LIU J,HOU Y G,GUO J Y,et al.A cost-efficient virtual synchronous generator system based on coordinated photovoltaic and supercapacitor[J]. IEEE Transactions on Power Electronics,2023,38(12):16219-16229.
• [8]秦垚，王晗，杨志千，等.全功率变换风电机组的电压源控制（二）：电网故障穿越控制与保护[J].中国电机工程学报，2023,43(2):530-543.QIN Yao,WANG Han,YANG Zhiqian,et al. Voltage source control of wind turbine generators with full-scale converters(part II):control and protection of grid fault ride-through[J].Proceedings of the CSEE,2023,43(2):530-543.
• [9]高本锋，邓鹏程，孙大卫，等.基于匹配控制的构网型直驱风电场次同步振荡机理与特性研究[J].电工技术学报，2024,39(9):2755-2770.GAO Benfeng,DENG Pengcheng,SUN Dawei,et al.Mechanism and characteristics of subsynchronous oscillation of grid-forming direct-drive wind farm based on matching control[J].Transactions of China Electrotechnical Society,2024,39(9):2755-2770.
• [10]AI C,LI Y T,ZHAO Z W,et al.An extension of gridforming:a frequency-following voltage-forming inverter[J]. IEEE Transactions on Power Electronics,2024,39(10):12118-12123.
• [11]HUANG L B,XIN H H,WANG Z,et al.A virtual synchronous control for voltage-source converters utilizing dynamics of DC-link capacitor to realize self-synchronization[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics,2017,5(4):1565-1577.
• [12]桑顺，张琛，蔡旭，等.全功率变换风电机组的电压源控制（一）：控制架构与弱电网运行稳定性分析[J].中国电机工程学报，2021,41(16):5604-5616.SANG Shun,ZHANG Chen,CAI Xu,et al. Voltage source control of wind turbines with full-scale converters(partⅠ)：control architecture and stability analysis under weak grid conditions[J].Proceedings of the CSEE,2021,41(16):5604-5616.
• [13]秦垚，王晗，邓桢彦，等.自同步电压源永磁直驱风电机组的直流电压同步机制及其统一控制结构[J].高电压技术，2023,49(1):31-41.QIN Yao,WANG Han,DENG Zhenyan,et al.Synchronization mechanism and unified control structure for PMSGbased WTGs by using the DC-link voltage to realize selfsynchronous voltage source control[J].High Voltage Engineering,2023,49(1):31-41.
• [14]LI G X,MA F J,WANG Y C,et al.Design and operation analysis of virtual synchronous compensator[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics,2020,8(4):3835-3845.
• [15]LUO C,LIU T,WANG X F,et al.Design-oriented analysis of DC-link voltage control for transient stability of gridforming inverters[J]. IEEE Transactions on Industrial Electronics,2024,71(4):3698-3707.
• [16]邓桢彦，王晗，周少泽，等.基于直流电压同步的构网型直驱风电机组暂态控制方法[J].电力系统自动化，2025,49(7):2-12.DENG Zhenyan,WANG Han,ZHOU Shaoze,et al.Transient control method for grid-forming direct-drive wind turbine unit based on DC voltage synchronization[J].Automation of Electric Power Systems,2025,49(7):2-12.
• [17]PENG Y L,SHUAI Z K,SHEN C,et al.Transient stabilization control of electric synchronous machine for preventing the collapse of DC-link voltage[J].IEEE Transactions on Smart Grid,2023,14(1):82-93.
• [18]GUO J,CHEN Y D,WU W H,et al.Wideband dq-frame impedance modeling of load-side virtual synchronous machine and its stability analysis in comparison with conventional PWM rectifier in weak grid[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics,2021,9(2):2440-2451.
• [19]JOUINI T,ARGHIR C,D??RFLER F. Grid-friendly matching of synchronous machines by tapping into the DC storage[J].IFAC-PapersOnLine,2016,49(22):192-197.
• [20]ZHANG L D,HARNEFORS L,NEE H P. Powersynchronization control of grid-connected voltage-source converters[J]. IEEE Transactions on Power Systems,2010,25(2):809-820.
• [21]GUO J,CHEN Y D,WANG L,et al.Impedance analysis and stabilization of virtual synchronous generators with different DC-link voltage controllers under weak grid[J].IEEE Transactions on Power Electronics,2021,36(10):11397-11408.
• [22]GRO??D, S??NCHEZ-S??NCHEZ E, PRIETOARAUJO E,et al. Dual-port grid-forming control of MMCs and its applications to grids of grids[J]. IEEE Transactions on Power Delivery,2022,37(6):4721-4735.
• [23]ZHAO L,JIN Z M,WANG X F. Transient stability of grid-forming converters with flexible DC-link voltage control[C]//2022 International Power Electronics Conference(IPEC-Himeji 2022-ECCE Asia).May 15-19,2022,Himeji,Japan.IEEE,2022:1648-1653.
• [24]ZHAO L,JIN Z M,WANG X F.Small-signal synchronization stability of grid-forming converters with regulated DC-link dynamics[J]. IEEE Transactions on Industrial Electronics,2023,70(12):12399-12409.
• [25]熊小玲，李昌盛，李航，等.基于直流电压同步的构网型换流器低频阻尼增强策略[J/OL].中国电机工程学报，2025:1-13.(2025-05-26). https：//kns. cnki. net/KCMS/detail/detail. aspx? filename=ZGDC20250523008&dbname=CJFD&dbcode=CJFQ.XIONG Xiaoling,LI Changsheng,LI Hang,et al.A low frequency damping enhancement strategy of grid-forming converter based on DC-link voltage synchronous control[J/OL].Proceedings of the CSEE,2025:1-13.(2025-05-26).https：//kns.cnki.net/KCMS/detail/detail.aspx?filename=ZGDC20250523008&dbname=CJFD&dbcode=CJFQ.
• [26]JIANG X,YI H,LI Y G,et al.Low-frequency oscillation damping of grid-forming STATCOMs with phasecompensated DC-link voltage synchronization[J]. IEEE Transactions on Power Electronics,2025,40(2):2860-2873.
• [27]WANG X M,SONG Y,YANG Y Y,et al.Transient stability analysis of DC-link voltage synchronization control grid-forming converter considering the impact of current limiter[C]//2025 IEEE 16th International Symposium on Power Electronics for Distributed Generation Systems(PEDG).June 22-25,2025,Nanjing,China.IEEE,2025:1-6.
• [28]GAO H M,LI Y,MENG X C,et al.Method for increasing equivalent damping in DC voltage synchronization control based on an additional high-pass filter forward path[C]//2024 8th International Conference on Power and Energy Engineering(ICPEE). December 20-22,2024,Chengdu,China.IEEE,2025:147-152.
• [29]XU H L,SHAO C,ZHI J,et al. Method of increasing equivalent damping in DC voltage synchronous control based on additional low-pass filter feedback[C]//2024 5th International Conference on Power Engineering(ICPE).December 13-15,2024,Shanghai,China. IEEE,2025:247-251.
• [30]XU C H,ZOU Z X,LIU X L,et al.Stability analysis and control design of grid-forming converters with DC-link effect[J].IEEE Transactions on Power Electronics,2025,40(5):6813-6828.
• [31]PENG Y L,SHUAI Z K,SHEN C,et al.Transient stabilization control of electric synchronous machine for preventing the collapse of DC-link voltage[J].IEEE Transactions on Smart Grid,2023,14(1):82-93.
• [32]史文轩.故障穿越下双馈风电机组传动系统动态响应的优化控制[D].济南：山东大学，2023.SHI Wenxuan. Optimal control of dynamic response of transmission system of DFIG under FRT[D].Jinan:Shandong University,2023.
• [33]姜鑫，易皓，卓放，等.基于直流电压同步的构网型变流器低频振荡分析与阻尼控制[J].电力系统自动化，2024,48(16):30-39.JIANG Xin,YI Hao,ZHUO Fang,et al. Low-frequency oscillation analysis and damping control for grid-forming converters based on DC voltage synchronization[J].Automation of Electric Power Systems,2024,48(16):30-39.