Oscillation Analysis and Research of Suppression Strategy of Grid-Following/Grid-Forming PMSG-based Wind Farm Transmitted System Through MMC-HVDC
Yang Hongjun1, Liu Junliang1, Tu Yingang1, Du Xiong1, Zou Xiaoming2
1. National Key Laboratory of Power Transmission and Transformation Equipment Technology Chongqing University Chongqing 400044 China;
2. State Grid Jiangsu Electric Power Co. Ltd. Research Institute Jiangsu,211103 China
For the grid-following/grid-forming (GFL/GFM) direct-drive wind farm integration system via modular multilevel converter-based high-voltage direct current (MMC-HVDC) transmission, current research has mainly focused on scenarios where GFL/GFM converters are directly connected to the power grid. There is a lack of equivalent impedance modeling methods suitable for the GFL/GFM direct-drive wind farm integration system via MMC-HVDC. Meanwhile, existing oscillation suppression strategies are primarily designed for the standalone grid-connected operation of GFM converters, making them difficult to be fully applied to the aforementioned wind farm integration system. In addition, the existing strategies are targeted at relatively single operating conditions and may have limitations in handling multi-condition scenarios caused by wind speed variations. To address these issues, this paper first considers the frequency coupling phenomenon within the transmission system and establishes an equivalent impedance model of the system. Simultaneously, an oscillation suppression strategy based on grid-connected current feedforward is proposed, and its effectiveness is verified using the MATLAB/SIMULINK simulation platform.
Firstly, based on the impedance models of GFL direct-drive wind turbines, GFM direct-drive wind turbines, AC transmission lines, and the sending-end MMC, the GFM permanent magnet synchronous generator (GFM-PMSG), MMC, and AC transmission lines are regarded as an integrated unit, collectively referred to as the parallel system. The equivalent impedances of the GFL-PMSG and the parallel system are calculated respectively. The accuracy of the established impedance models is verified by comparing the model-derived results with the simulation frequency sweep outcomes. Then, based on the impedance analysis method, a stability criterion for the transmission system is derived.
Subsequently, this section conducts further stability analysis of the transmission system from two aspects: the capacity proportion of GFM wind turbines and the wind speed of the wind farm. On the one hand, when the capacity proportion of GFM-PMSG is relatively low, it may introduce new oscillation risks to the system in the frequency band near the power frequency. The oscillation frequency generated in this case is significantly different from that induced by the standalone grid connection of GFL-PMSG. Although increasing the proportion of GFM-PMSG can avoid oscillations near the power frequency, it will raise the capital investment cost of wind farm construction. On the other hand, in the wind farm integration system via MMC-HVDC, when the wind farm is fully equipped with GFL wind turbines, the system faces the risk of oscillation instability under high wind speed conditions. The integration of a certain capacity of GFM wind turbines can ensure the stable operation of the transmission system under high wind speeds. Nevertheless, when the proportion of GFL wind turbines is relatively high, the transmission system will be exposed to new oscillation risks under low wind speed conditions.
Finally, by analyzing the influence of disturbance propagation paths of each component on the system impedance, this paper identifies the dominant propagation paths that exert a primary impact on the oscillation-prone frequency bands. An oscillation suppression strategy based on grid-connected current feedforward is proposed, whose core principle is as follows: a reverse disturbance signal is superimposed on the output channel of the current inner loop, and this signal is generated by processing the dq-axis components of the inductor current disturbance through the current inner loop. The control structure is improved through the above method to reshape the system impedance and enhance the system damping in the oscillation-prone frequency bands. Then, the MATLAB/SIMULINK simulation platform is employed to verify the effectiveness of the proposed suppression strategy for oscillations arising under different scenarios. The research results indicate that the proposed grid-connected current feedforward-based oscillation suppression strategy can simultaneously suppress the oscillations induced by both GFL-PMSG and GFM-PMSG in the transmission system, and achieve oscillation suppression under multiple operating conditions of the transmission system when wind speed changes.
杨宏钧, 刘俊良, 涂银钢, 杜雄, 邹小明. 跟网/构网型直驱风场经MMC-HVDC送出系统的振荡分析与抑制策略研究[J]. 电工技术学报, 0, (): 13-.
Yang Hongjun, Liu Junliang, Tu Yingang, Du Xiong, Zou Xiaoming. Oscillation Analysis and Research of Suppression Strategy of Grid-Following/Grid-Forming PMSG-based Wind Farm Transmitted System Through MMC-HVDC. Transactions of China Electrotechnical Society, 0, (): 13-.
[1] Liu B, Li Z, Dong X, et al.Impedance Modeling and Controllers Shaping Effect Analysis of PMSG Wind Turbines[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2021, 9(2): 1465-1478.
[2] Zhang B, Du X, Du C, et al.Stability Modeling of a Three-Terminal MMC-HVDC Transmission System[J]. IEEE Transactions on Power Delivery, 2022, 37(3): 1754-1763.
[3] Liu J, Du X, Shi Y, et al.Impedance Measurement of Three-Phase Inverter in the Stationary Frame Using Frequency Response Analyzer[J]. IEEE Transactions on Power Electronics, 2020, 35(9):9390-9401.
[4] 辛焕海, 王宇轩, 刘晨曦, 等. 提高新能源场站稳定性的构网型与跟网型变流器容量配比估算[J]. 中国电机工程学报, 2024, 44(14): 5463-5473.
Xin H, Wang Y, Liu C, et al.Estimation of Capacity Ratios Between Grid-forming and Grid-following Converters for Improving the Stability of Renewable Energy Stations[J]. Proceedings of the CSEE, 2024, 44(14): 5463-5473(in Chinese).
[5] Fu Q, Bu S, Chung C Y.A Practical Study on Grid-Forming Control in MTDC Power System for Sustainable Energy Transmission[C]//2024 IEEE Power & Energy Society General Meeting (PESGM). 2024: 1-5.
[6] 王一凡, 赵成勇, 郭春义. 双馈风电场孤岛经模块化多电平换流器直流输电并网系统小信号稳定性分析与振荡抑制方法[J]. 电工技术学报, 2019, 34(10): 2116-2129.
Wang Y, Zhao C, Guo C.Small Signal Stability and Oscillation Suppression Method for Islanded Double Fed Induction Generator-Based Wind Farm Integrated by Modular Multilevel Converter Based HVDC System[J]. TRANSACTIONS OF CHINA ELECTROTECHNICAL SOCIETY, 2019, 34(10): 2116-2129(in Chinese).
[7] Wu W, Chen Y, Zhou L, et al.Sequence Impedance Modeling and Stability Comparative Analysis of Voltage-Controlled VSGs and Current-Controlled VSGs[J]. IEEE Transactions on Industrial Electronics, 2019, 66(8): 6460-6472.
[8] Shi K, Wang Y, Sun Y, et al.Frequency-Coupled Impedance Modeling of Virtual Synchronous Generators[J]. IEEE Transactions on Power Systems, 2021, 36(4): 3692-3700.
[9] Pan R, Liu D, Liu S, et al.Stability Comparison Between Grid-forming and Grid-following Based Wind Farms Integrated MMC-HVDC[J]. Journal of Modern Power Systems and Clean Energy, 2023, 11(4): 1341-1355.
[10] 冀肖彤, 文劲宇, 桑顺, 等. 不同构网型控制下永磁直驱风电机组的稳定性对比与致稳控制[J/OL]. 中国电机工程学报, 2025, 1-14.
Ji X, Wen J, Sang S, et al.Stability Comparison and Stabilization Control of the PMSG-based Direct-driven Wind Turbine Under Different Types of Grid-forming Control[J/OL]. Proceedings of the CSEE, 2025, 1-14(in Chinese).
[11] 高本锋, 董涵枭, 孙大卫, 等. 匹配控制构网型直驱风电场经LCC-HVDC送出系统的次同步振荡特性及机理分析[J]. 中国电机工程学报, 2024, 44(23): 9296-9310.
Gao B, Dong H, Sun D, et al.Sub-synchronous Oscillation Characteristics and Mechanism Analysis of Matching-control-based Grid-forming Direct Drive Wind Farm Transmitted Through LCC-HVDC System[J]. Proceedings of the CSEE, 2024, 44(23): 9296-9310(in Chinese).
[12] 雷雨, 李光辉, 王伟胜, 等. 跟网型和构网型新能源并网控制阻抗对比与振荡机理分析[J]. 中国电机工程学报, 2025, 45(1): 150-163.
Lei Y, Li G, Wang W et al. Comparison of Impedance Characteristics and Oscillation Mechanism for Grid Following and Grid Forming Renewable Energy[J]. Proceedings of the CSEE, 2025, 45(1): 150-163(in Chinese).
[13] 王奕宁, 向往, 张浩博, 等. 构网型直驱风力发电机组比例优化配置分析[J]. 电网技术, 2025, 49(2): 490-500.
Wang Yi, Xiang W, Zhang H, et al.Analysis of Optimal Proportion Configuration of Grid Forming Direct Drive Wind Turbine[J]. Power System Technology, 2025, 49(2): 490-500(in Chinese).
[14] Xu Y, Nian H, Hu B, et al.Impedance Modeling and Stability Analysis of VSG Controlled Type-IV Wind Turbine System[J]. IEEE Transactions on Energy Conversion, 2021, 36(4): 3438-3448.
[15] Liu J, Du X, Zhao Y.A Novel Control Strategy for Enhancing System Stability in Weak Grids by Mitigating Additional Disturbance Components from PLL[J]. IEEE transactions on sustainable energy, 2025(2):16.
[16] Ma Y, Xu J, Gao C, et al.Low-Frequency Oscillations and Resonance Analysis of VSG-Controlled PMSG-based Wind Generation Systems[J]. Journal of Modern Power Systems and Clean Energy, 2025, 13(1): 115-127.
[17] 梁营玉, 王亚琴, 杨洋, 等. 基于q轴虚拟功率构造的构网型变流器功率振荡抑制策略[J/OL]. 电网技术, 2024, 1-15.
Liang Y, Wang Y, Yang Y, et al.q-axis Virtual Power Construction-Based Power Oscillation Suppression Strategy for Grid-forming Converters[J/OL]. Power System Technology, 2024, 1-15(in Chinese).
[18] Li G, Shao Y, Liu X, et al.A Virtual Series Compensation Control of Virtual Synchronous Generator for Improving Energy Transmission Efficiency[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2024, 8(1), 1073-1084.
[19] 乐璇, 徐骏, 徐海盛. 构网型变流器多机并联系统稳定性分析及其控制策略研究[J]. 电工技术, 2024(20): 17-21.
Le X, Xu J, Xu H.Stability Analysis and Control Strategy for Multi-Machine Parallel System withGrid forming Inverters[J]. Electric Engineering, 2024(20): 17-21(in Chinese).
[20] Zou X, Du X, Tai H M.Two-Variable Admittance Model for D-PMSG-Based Wind Turbine and Stability Criterion Based on Magnitude and Phase Contour Plot[J]. IEEE Transactions on Power Electronics, 2020, 35(2): 1484-1498.
[21] Tu Y, Chen B, Yang H et al. Impedance modeling and stability analysis of grid-forming permanent magnet direct-drive wind turbine based on multi-harmonic linearization[C]//20th International Conference on AC and DC Power Transmission 2024 (ACDC 2024), Shanghai, China, 2024: 1551-1556.
[22] 罗永捷, 黄鹏, 段修超, 等. 考虑海上风电与MMC阻抗耦合的柔性直流送出系统等效阻抗建模方法[J]. 中国电机工程学报, 2024, 44(7): 2655-2670.
Luo Y, Huang P, Duan X, et al.Equivalent Impedance Modeling Method for MMC-HVDC Considering Coupling of Offshore Wind Power and MMC Impedance[J]. Proceedings of the CSEE, 2024, 44(7): 2655-2670(in Chinese).
[23] 王国宁, 杜雄, 邹小明, 等. 用于三相并网逆变器稳定性分析的自导纳和伴随导纳建模[J]. 中国电机工程学报, 2017, 37(14): 3973-3981, 4275.
Wang G, Du X, Zou X, et al.Self and Accompanying Admittance Model for Three-phase Grid-tied Inverter Stability Analysis[J]. Proceedings of the CSEE, 2017, 37(44): 3973-3981(in Chinese).
[24] Du C, Du X, Tong C.SSR Stable Wind Speed Range Quantification for DFIG-Based Wind Power Conversion System Considering Frequency Coupling[J]. IEEE Transactions on Sustainable Energy, 2023, 14(1): 125-139.
[25] 张琦, 刘俊良, 陈兵, 等. 一种基于并网电流反馈的构网型变流器次同步振荡抑制策略[J]. 电工技术学报, 2025, 40(09): 2795-2808.
Zhang Q, Liu J, Chen B, et al.A Sub-Synchronous Oscillation Suppression Strategy for the Grid-Forming Converter Based on Grid-Connected Current Feedback[J]. Transactions of China Electrotechnical Society, 2025, 40(09): 2795-2808 (in Chinese).
[26] 张琦, 杜雄, 丁理杰, 等. 全功率变速抽水蓄能机组的阻抗建模及并网稳定性分析[J]. 电工技术学报, 2025, 40(13): 4229-4240.
Zhang Q, Du X, Ding L, et al.Impedance Modeling and Grid-Connected Stability Analysis of Variable-Speed Pumped Storage Unit with Full-Size Converter[J]. Transactions of China Electrotechnical Society, 2025, 40(13): 4229-4240 (in Chinese).
[27] 陈宇飞, 陶天越. 提升三相并网逆变器稳定性的阻抗优化控制策略[J]. 电气技术, 2025, 26(4): 20-28.
Chen Y, Tao T.An impedance optimization control strategy for enhancing the stability of three-phase grid-connected inverters[J]. Electrical Engineering, 2025, 26(4): 20-28(in Chinese).
[28] 王海宁, 陈燕东, 廖书寒, 等. 弱电网条件下考虑频率耦合的三相并网逆变器简化阻抗建模及宽频带振荡分析[J].电源学报,2021,19(06):19-29.
Wang H, Chen Y, Liao S, et al.Simplified Impedance Modeling and Broadband Oscillation Analysis for Three-phase Grid-connected Inverter Considering Frequency Coupling under Weak Grid Conditions[J]. Journal of power supply, 2021,19(06):19-29(in Chinese).
[29] 赵长旭, 赵晋斌, 唐雨晨, 等. 基于自适应控制的海上MMC低频振荡抑制方法[J].电力电子技术,2025,59(10):55-60.
Zhao C, Zhao J, Tang Y, et al.Low-frequency Oscillation Suppression Method for Offshore MMC Based on Adaptive Control[J]. Power Electronics, 2025,59(10):55-60(in Chinese).