Transient Synchronous Stability Control for Grid-Connected Direct-Drive Wind Turbine System Driven by Improved Energy Function
Li Kaixin, Liu Qihui1, Cai Xipeng2, Zhu Yihua2
1. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Beijing 102206 China;
2. State Key Laboratory of HVDC Electric Power Research Institute of China Southern Power Grid Company Limited Guangzhou 510663 China;
3. Foshan Power Supply Bureau of Guangdong Power Grid Co. Ltd Foshan 528010 China
Transient synchronous stability during low-voltage ride-through (LVRT) presents a critical challenge for grid-connected direct-drive wind turbine systems. Conventional stability assessment methods based on energy functions often yield excessively conservative results, a limitation that can be traced to their neglect of damping effects. This paper proposes a novel transient synchronous stability control method based on an improved energy function. The central contribution is the construction of an improved energy function that incorporates the cumulative effect of system damping through an effective kinetic energy correction term. This formulation directly reduces the conservatism in stability region estimation. Building on this analytical foundation, a dedicated phase-locked loop (PLL) control strategy, which does not require precise real-time estimation of grid parameters, is subsequently developed.
The research was conducted in three stages. First, the control structure and assumptions of the grid-connected direct-drive wind turbine system were analyzed to establish a mathematical model for transient synchronous stability. The stability region was derived using the conventional energy function method, and its limitations were analyzed. To address the core flaw of this method, specifically its omission of damping, an effective kinetic energy correction term was introduced. This enabled the formulation of an improved energy function accounting for cumulative damping, from which a revised stability region was theoretically derived, effectively mitigating the conservatism of the traditional approach. Second, based on the boundary characteristics of this improved stability region, the key factors constraining the stability boundary are analyzed in depth. It is determined that the nonlinear characteristics of damping and unbalanced power constitute a primary factor constraining the transient synchronous stability boundary of the wind-integrated system, and the underlying constraining mechanism is elucidated. Consequently, a transient synchronous stability control strategy based on an improved PLL is proposed, along with a clear methodology for parameter setting. Finally, the effectiveness and adaptability of the proposed control strategy under multiple fault scenarios are comprehensively validated through MATLAB/Simulink simulation, hardware-in-the-loop (HIL) testing, and physical experiments.
Simulation and experimental results confirm the efficacy of the proposed method. In fault scenarios where the grid voltage sagged to 65 V (with a stable equilibrium point, SEP) and 45 V (without an SEP), systems employing a conventional PLL lost synchronism, whereas systems with the proposed control maintained stable operation. The proposed strategy sustained synchronous stability for voltages above 40 V, extending the practical stability boundary by approximately 13.4% compared to the static stability boundary of 46.17 V. Furthermore, in compound fault scenarios involving simultaneous voltage sag and increased grid inductance, the proposed strategy maintained stability where conventional control failed. Consistent results from HIL testing and physical experiments verified the strategy's robustness across different experimental platforms.
This study leads to three main conclusions: (1) The proposed improved energy function provides a less conservative and more accurate estimation of the transient stability region compared to traditional methods. (2) The nonlinear characteristics of damping and unbalanced power are the principal factors constraining the transient synchronous stability boundary. (3) The proposed control strategy effectively maintains system synchronization across various fault scenarios without relying on precise grid parameter estimation, thereby enhancing the system's LVRT capability.
李开心, 贺鹏飞, 刘其辉, 蔡希鹏, 朱益华. 改进能量函数驱动的直驱风机并网系统暂态同步稳定控制[J]. 电工技术学报, 0, (): 20251456-.
Li Kaixin, Liu Qihui, Cai Xipeng, Zhu Yihua. Transient Synchronous Stability Control for Grid-Connected Direct-Drive Wind Turbine System Driven by Improved Energy Function. Transactions of China Electrotechnical Society, 0, (): 20251456-.
[1] 黄萌, 舒思睿, 李锡林, 等. 面向同步稳定性的电力电子并网变流器分析与控制研究综述[J]. 电工技术学报, 2024, 39(19): 5978-5994.
Huang Meng, Shu Sirui, Li Xilin, et al.A Review on the Analysis and Control of Grid-Forming Converters for Synchronous Stability[J]. Transactions of China Electrotechnical Society, 2024, 39(19): 5978-5994.
[2] NERC/WECC Inverter Task Force. 1 200 MW fault induced solar photovoltaic resource interruption disturbance report[R]. Atlanta, USA: North American Electric Reliability Corporation, 2017.
[3] European Network of Transmission System Operators for Electricity (ENTSO-E). Continental Europe synchronous area separation on 8 January 2021 - interim report[R]. Brussels: ENTSO-E, 2021.
[4] 曾平, 张琛, 李征. 电网故障期间全功率风电机组的暂态同步稳定控制策略[J]. 中国电机工程学报, 2022, 42(16): 5935-5947+6168.
Zeng Ping, Zhang Chen, Li Zheng. Transient synchronous stability control strategy for full-power wind turbines during power grid fault[J]. Proceedings of the CSEE, 2022, 42(16): 5935-5947+6168.
[5] Zhang C, Cai X, Rygg A, et al.Modeling and analysis of grid-synchronizing stability of a Type-IV wind turbine under grid faults[J]. International Journal of Electrical Power & Energy Systems, 2020, 117: 105544.
[6] Li X, Tian Z, Zha X, et al.An iterative equal area criterion for transient stability analysis of grid-tied converter systems with varying damping[J]. IEEE Transactions on Power Systems, 2023: 1-13.
[7] Li X, Pan L, Wang Z, et al.Transient synchronization stability of a weak-grid connected VSC considering the interaction of outer control loops and PLL dynamics[J]. IET Renewable Power Generation, 2024, 18(12): 1847-1861.
[8] 黄森, 姚骏, 钟勤敏, 等. 含跟网和构网型新能源发电单元的混联电力系统暂态同步稳定分析[J]. 中国电机工程学报, 2024, 44(21): 8378-8392.
Huang Sen, Yao Jun, Zhong Qinmin, et al.Transient synchronization stability analysis of hybrid power system with grid-following and grid-forming renewable energy generation units[J]. Proceedings of the CSEE, 2024, 44(21): 8378-8392.
[9] 李锡林, 查晓明, 田震, 等. 频率突变影响下基于Lyapunov法的孤岛微电网暂态稳定性分析[J]. 电工技术学报, 2023, 38(S1): 18-31, 55.
Li Xilin, Cha Xiaoming, Tian Zhen, et al.Lyapunov based transient stability analysis of islanded microgrid under the influence of frequency abrupt change[J]. Transactions of China Electrotechnical Society, 2023, 38(S1): 18-31, 55.
[10] Fu X, Sun J, Huang M, et al.Large-signal stability of grid-forming and grid-following controls in voltage source converter: a comparative study[J]. IEEE Transactions on Power Electronics, 2021, 36(7): 7832-7840.
[11] Zarif Mansour M, Me S P, Hadavi S, et al.Nonlinear transient stability analysis of phased-locked loop-based grid-following voltage-source converters using Lyapunov's direct method[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2022, 10(3): 2699-2709.
[12] Ma S, Geng H, Liu L, et al.Grid-synchronization stability improvement of large scale wind farm during severe grid fault[J]. IEEE Transactions on Power Systems, 2018, 33(1): 216-226.
[13] Yang Y, Zhu D, Zou X, et al.Power compensation control for DFIG-based wind turbines to enhance synchronization stability during severe grid faults[J]. IEEE Transactions on Power Electronics, 2022, 37(9): 10139-10143.
[14] 韩刚, 张琛, 蔡旭. 电网短路故障引发的全功率风电机组频率失稳机理与控制方法[J]. 电工技术学报, 2018, 33(10): 2167-2175.
Han Gang, Zhang Chen, Cai Xu.Mechanism and control method of frequency instability in full-power wind turbines caused by grid short-circuit fault[J]. Transactions of China Electrotechnical Society, 2018, 33(10): 2167-2175.
[15] He X, Geng H, Xi J, et al.Resynchronization analysis and improvement of grid-connected VSCs during grid faults[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2021, 9(1): 438-450.
[16] 刘昕宇, 单永鹏, 辛焕海, 等. 基于直流电压控制的新能源并网系统暂态电压稳定性分析[J]. 电工技术学报, 2025: 1-13.
Liu Xinyu, Shan Yongpeng, Xin Huanhai, et al.Transient Voltage Stability Analysis of Voltage Source Converters Integrated System under DC Voltage Control[J]. Transactions of China Electrotechnical Society, 2025: 1-13.
[17] Ma Y, Zhu D, Zhang Z, et al.Modeling and transient stability analysis for type-3 wind turbines using singular perturbation and Lyapunov methods[J]. IEEE Transactions on Industrial Electronics, 2023, 70(8): 8075-8086.
[18] Zhao J, Huang M, Zha X.Nonlinear analysis of PLL damping characteristics in weak-grid-tied inverters[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2020, 67(11): 2752-2756.
[19] 梁军杨, 李红, 宋国杰, 等. 多时间尺度控制下跟网型变换器的同步稳定性分析与改进控制[J]. 电工技术学报, 2024, 39(22): 1-15.
Liang Junyang, Li Hong, Song Guojie, et al.Synchronization stability analysis and enhanced control of grid-following converters under multi-timescale control[J]. Transactions of China Electrotechnical Society, 2024, 39(22): 1-15.
[20] Huang S, Yao J, Pei J, et al.Transient synchronization stability improvement control strategy for grid-connected VSC under symmetrical grid fault[J]. IEEE Transactions on Power Electronics, 2022, 37(5): 4957-4961.
[21] Liu Y, Yao J, Pei J, et al.Transient stability enhancement control strategy based on improved PLL for grid connected VSC during severe grid fault[J]. IEEE Transactions on Energy Conversion, 2021, 36(1): 218-229.
[22] Wu C, Xiong X, Taul M G, et al.Enhancing transient stability of PLL-synchronized converters by introducing voltage normalization control[J]. IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 2021, 11(1): 69-78.
[23] Taul M G, Wang X, Davari P, et al.Robust fault ride through of converter-based generation during severe faults with phase jumps[J]. IEEE Transactions on Industry Applications, 2020, 56(1): 570-583.
[24] 张宇, 张琛, 蔡旭, 等. 并网变换器的暂态同步稳定性分析:稳定域估计与镇定控制[J]. 中国电机工程学报, 2022, 42(21): 7871-7884.
Zhang Yu, Zhang Chen, Cai Xu, et al.Transient synchronization stability analysis of grid-connected converters: stability domain estimation and stabilization control[J]. Proceedings of the CSEE, 2022, 42(21): 7871-7884.
[25] Wang J, Luo C, Wei L.Adaptive-saturation-based transient stability enhancement for grid-following inverters[J]. IET Power Electronics, 2024, 17(13): 1655-1664.
[26] Wu H, Wang X.Design-oriented transient stability analysis of PLL-synchronized voltage-source converters[J]. IEEE Transactions on Power Electronics, 2020, 35(4): 3573-3589.
[27] 王继磊, 张兴, 韩峰, 等. 并网逆变器LVRT同步稳定性分析及其优化策略[J]. 太阳能学报, 2024, 45(2): 309-317.
Wang Jilei, Zhang Xing, Han Feng, et al.LVRT synchronous stability analysis and its optimization strategy for grid-connected inverters[J]. Acta Energiae Solaris Sinica, 2024, 45(2): 309-317.
[28] Sahoo A, Ravishankar J, Ciobotaru M, et al.Enhanced fault ride-through of power converters using hybrid grid synchronization[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2022, 10(3): 2829-2841.
[29] 杨天翔, 程志江, 杨涵棣, 等. 基于自抗扰控制的风电并网变流器锁相环设计[J]. 太阳能学报, 2023, 44(4): 147-155.
Yang Tianxiang, Cheng Zhijiang, Yang Handi, et al.Design of phase-locked loop for wind power grid-connected converter based on active disturbance rejection control[J]. Acta Energiae Solaris Sinica, 2023, 44(4): 147-155.
[30] 张琛, 蔡旭, 李征. 全功率变换风电机组的暂态稳定性分析[J]. 中国电机工程学报, 2017, 37(14): 4018-4026+4280.
Zhang Chen, Cai Xu, Li Zheng. Transient stability analysis of full-power converter wind turbines[J]. Proceedings of the CSEE, 2017, 37(14): 4018-4026+4280.
[31] Wang X, Taul M G, Wu H, et al.Grid-synchronization stability of converter-based resources—an overview[J]. IEEE Open Journal of Industry Applications, 2020, 1: 115-134
[32] 许津铭, 凌子涵, 程成, 等. 并网逆变器非线性特性建模及稳定性研究综述[J]. 高电压技术, 2024, 50(1): 370-385
Xu Jinming, Ling Zihan, Cheng Cheng, et al.A review on modeling and stability of nonlinear characteristics of grid-connected inverters[J]. High Voltage Engineering, 2024, 50(1): 370-385.
[33] Jin L, Brown L J.A multiple Lyapunov functions approach for stability of switched systems[C]//Proceedings of the 2010 American Control Conference, Baltimore, MD, USA, 2010: 3253-3256.
[34] Branicky M S.Multiple Lyapunov functions and other analysis tools for switched and hybrid systems[J]. IEEE Transactions on Automatic Control, 1998, 43(4): 475-482.