Analysis of Fault Current Characteristics in AC Transmission Lines for Wind Power Integration through VSC-HVDC System Controlled by Virtual Synchronous Generator
Huang Xinran1, Wang Zengping1, Wang Tong1, Niu Aoxiang1, Song Liangliang2
1. State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Beijing 102206 China; 2. State Grid Jiangsu Electric Power Company Electric Power Research Institute Nanjing 211103 China
Abstract:The active support-type VSC-HVDC converter based on virtual synchronous machine control exhibits excellent voltage-source characteristics, effectively suppressing oscillations caused by low system inertia. However, after an AC line fault, the weak feedback characteristics of the currents on both sides are affected by different low-voltage ride-through (LVRT) controls, resulting in significant differences compared to synchronous machine systems. Therefore, this paper proposes an analytical method for the steady-state fault currents of double-ended power-electronics equipment. This method does not rely on refined system models for multiple iterative calculations. It can obtain steady-state current values output from the VSC-HVDC converter under various fault scenarios, enabling accurate calculation of the AC grid fault response at the new energy generation end. In the typical offshore wind power island transmission scenario, the grid-side converter of the wind turbine and the sending-end converter of the VSC-HVDC system use grid-following control and VSG grid-forming control, respectively. This paper first constructs an equivalent system model based on the LVRT control strategies. Secondly, from the perspective of positive- and negative-sequence separation control, the symmetrical component method is applicable to decouple AC systems with a high proportion of power-electronic equipment. Then, combining the symmetrical component method and Kirchhoff's law, the equivalent sequence network diagram is solved for different fault scenarios, and the analytical expression of the current sequence component on the VSC-HVDC side is derived. The influencing factors of the current sequence component under symmetrical and asymmetrical fault scenarios are revealed, and differences in fault-current characteristics between active-support VSC-HVDC converters and synchronous machine systems are highlighted. Finally, an electromagnetic transient simulation model of the wind power transmission system via VSC-HVDC is built in PSCAD/EMTDC. The simulation results show that the proposed method's calculation error is less than 3%. The following conclusions can be drawn from the simulation analysis. (1) After an AC line fault, the current loop of the wind turbine grid-side converter with dual-loop control saturates is equivalent to a controlled current source. The power reference value switching of the VSC-HVDC sending-end converter based on VSG control is equivalent to a controlled voltage source with internal impedance. (2) On the power frequency protection time scale, the fault current on the wind turbine side consists of positive-sequence and zero-sequence components. As transition resistance increases, the zero-sequence component decreases, and the three-phase waveform becomes more symmetrical. The VSC-HVDC side provides a negative-sequence loop, and the fault current consists of positive-sequence, negative-sequence, and zero-sequence components. Affected by control parameters and the magnitude of transition resistance, the variations in sequence components differ significantly from those of synchronous machine systems, which may affect the adaptability of traditional power-frequency protection. (3) The proposed fault current analysis method has a calculation error of less than 3% in various fault scenarios, meeting the requirements for protection adaptability analysis and setting.
黄欣然, 王增平, 王彤, 牛翱翔, 宋亮亮. 风电经基于虚拟同步机控制的柔直系统送出交流线路故障电流特性分析[J]. 电工技术学报, 2026, 41(14): 4902-4918.
Huang Xinran, Wang Zengping, Wang Tong, Niu Aoxiang, Song Liangliang. Analysis of Fault Current Characteristics in AC Transmission Lines for Wind Power Integration through VSC-HVDC System Controlled by Virtual Synchronous Generator. Transactions of China Electrotechnical Society, 2026, 41(14): 4902-4918.
[1] 国家能源局. 国家能源局发布2024年全国电力工业统计数据[EB/OL]. (2025-01-21) [2025-10-25]. https://www.nea.gov.cn/20250121/097bfd7c1cd3498897639857-d86d5dac/c.html. [2] Global Wind Energy Council. Global Offshore Wind Report2024[EB/OL]. (2024-06-17) [2025-10-25]. https://www.apren.pt/contents/publicationsothers/gwec-gowr-2024-digital-final-2-compressed-1.pdf. [3] 国家能源局. 提前6年兑现承诺!我国风光发电总装机超12亿千瓦[EB/OL]. (2024-11-08) [2025-10-25]. http://www.nea.gov.cn/2024-11/08/c_1310787160.htm. [4] 徐政. 海上风电送出主要方案及其关键技术问题[J]. 电力系统自动化, 2022, 46(21): 1-10. Xu Zheng.Main schemes and key technical problems for grid integration of offshore wind farm[J]. Auto-mation of Electric Power Systems, 2022, 46(21): 1-10. [5] 袁志昌, 郭佩乾, 刘国伟, 等. 新能源经柔性直流接入电网的控制与保护综述[J]. 高电压技术, 2020, 46(5): 1460-1475. Yuan Zhichang, Guo Peiqian, Liu Guowei, et al.Review on control and protection for renewable energy integration through VSC-HVDC[J]. High Voltage Engineering, 2020, 46(5): 1460-1475. [6] 迟永宁, 梁伟, 张占奎, 等. 大规模海上风电输电与并网关键技术研究综述[J]. 中国电机工程学报, 2016, 36(14): 3758-3771. Chi Yongning, Liang Wei, Zhang Zhankui, et al.An overview on key technologies regarding power transmission and grid integration of large scale offshore wind power[J]. Proceedings of the CSEE, 2016, 36(14): 3758-3771. [7] Liu Sijia, Fan Xinran, Dai Wei, et al.Research on the modeling and control strategy of offshore wind power flexible DC transmission system[C]//2023 Panda Forum on Power and Energy (PandaFPE), Chengdu, China, 2023: 1920-1925. [8] 郑外生, 饶宏. 新型电力系统柔性构网技术及其应用[J]. 电力系统自动化, 2025, 49(12): 1-10. Zheng Waisheng, Rao Hong.Flexible grid-forming technology and its application in new power system[J]. Automation of Electric Power Systems, 2025, 49(12): 1-10. [9] Li Chengyu, Xu Jianzhong, Zhao Chengyong.A coherency-based equivalence method for MMC inverters using virtual synchronous generator control[J]. IEEE Transactions on Power Delivery, 2016, 31(3): 1369-1378. [10] 饶宏, 黄伟煌, 郭铸, 等. 提升受端电网稳定性的主动支撑型柔性直流的形态、关键技术与展望[J]. 中国电机工程学报, 2024, 44(17): 6818-6831. Rao Hong, Huang Weihuang, Guo Zhu, et al.Grid-supporting VSC-HVDC for enhancing the stability of receiving end power grid: forms, key technologies, and prospects[J]. Proceedings of the CSEE, 2024, 44(17): 6818-6831. [11] 阳岳希, 贺之渊, 彭程, 等. 海上风电柔性直流外送系统主动支撑技术综述[J]. 高电压技术, 2025, 51(6): 2720-2733. Yang Yuexi, He Zhiyuan, Peng Cheng, et al.Review on grid support control for VSC-HVDC connecting offshore wind farm[J]. High Voltage Engineering, 2025, 51(6): 2720-2733. [12] 刘琦, 占萌, 李威, 等. 同步机和非同步机电源接入强弱网系统小扰动稳定特性比较与统一分析[J/OL]. 电工技术学报, 2025: 1-18. (2025-06-19). [2025-10-25]. https://link.cnki.net/doi/10.19595/j.cnki.1000-6753.tces.242348. Liu Qi, Zhan Meng, Li Wei, et al. Characteristics comparison and unified analysis of stiff or weak grid-tied small disturbance stability of synchronous generator and converter-interfaced generations[J/OL]. Transactions of China Electrotechnical Society, 2025: 1-18. (2025-06-19) [2025-10-25]. https://link.cnki.net/doi/10.19595/j.cnki.1000-6753.tces.242348. [13] 中国能源新闻网. 许继电气全链条构网型解决方案获多项成就[EB/OL]. (2024-04-25) [2025-10-25]. https://cpnn.com.cn/qiye/rongyu/202404/t20240425_1696399.html. [14] Meng Xin, Liu Jinjun, Liu Zeng.A generalized droop control for grid-supporting inverter based on com-parison between traditional droop control and virtual synchronous generator control[J]. IEEE Transactions on Power Electronics, 2018, 34(6): 5416-5438. [15] 郭贤珊, 张国华, 李健栋, 等. 构网型变流器技术发展现状与工程应用[J/OL]. 电力系统自动化, 2025: 1-19. (2025-10-09) [2025-10-25]. https://kns.cnki.net/kcms/detail/32.1180.TP.20251009.0907.002.html. Guo Xianshan, Zhang Guohua, Li Jiandong, et al. Development status and engineering application of grid-forming converter technology[J/OL]. Automation of Electric Power Systems, 2025: 1-19. (2025-10-09) [2025-10-25]. https://kns.cnki.net/kcms/detail/32.1180.TP.20251009.0907.002.html. [16] 杨仁炘, 施刚, 蔡旭, 等. 风电场柔性直流并网控制保护技术现状与展望[J]. 南方电网技术, 2019, 13(3): 48-57. Yang Renxin, Shi Gang, Cai Xu, et al.Present situation and prospect of the control and protection technology for flexible DC intergration of wind farm[J]. Southern Power System Technology, 2019, 13(3): 48-57. [17] 郑涛, 章若竹, 吕文轩, 等. 基于故障主动控制的海上风电交流汇集线路时域距离保护[J]. 电工技术学报, 2025, 40(1): 122-138. Zheng Tao, Zhang Ruozhu, Lü Wenxuan, et al.Time-domain distance protection of offshore AC trans-mission lines based on fault active control considering distributed capacitance's impact[J]. Transactions of China Electrotechnical Society, 2025, 40(1): 122-138. [18] 余越, 韦明杰, 吕鹏飞, 等. 适用于不对称故障短路计算的新能源场站实用化建模方法[J]. 电网技术, 2024, 48(11): 4788-4795. Yu Yue, Wei Mingjie, Lü Pengfei, et al.Practical equivalence of new energy generator field for the asymmetrical fault short circuit calculation[J]. Power System Technology, 2024, 48(11): 4788-4795. [19] 彭放, 高厚磊, 郭一飞, 等. 构网逆变电源故障穿越控制策略及其对保护影响的研究综述[J]. 电网技术, 2024, 48(9): 3673-3685. Peng Fang, Gao Houlei, Guo Yifei, et al.A review of fault ride-through control strategies of grid-forming inverter-based resources and the influence on protection[J]. Power System Technology, 2024, 48(9): 3673-3685. [20] Kauffmann T, Karaagac U, Kocar I, et al.Short-circuit model for type-IV wind turbine generators with decoupled sequence control[J]. IEEE Transac-tions on Power Delivery, 2019, 34(5): 1998-2007. [21] 刘素梅, 毕天姝, 王晓阳, 等. 具有不对称故障穿越能力逆变型新能源电源故障电流特性[J]. 电力系统自动化, 2016, 40(3): 66-73. Liu Sumei, Bi Tianshu, Wang Xiaoyang, et al.Fault current characteristics of inverter interfaced rene-wable energy generators with asymmetrical fault ride-through capability[J]. Automation of Electric Power Systems, 2016, 40(3): 66-73. [22] 王彤, 何淑威, 魏玉文, 等. 不对称故障期间VSG电压源特性控制策略下的短路电流解析计算[J]. 电力自动化设备, 2025, 45(10): 201-209, 224. Wang Tong, He Shuwei, Wei Yuwen, et al.Analytical expression of short circuit current under voltage source characteristic control strategy of VSG during asymmetric fault[J]. Electric Power Automation Equipment, 2025, 45(10): 201-209, 224. [23] Liu Teng, Wang Xiongfei, Liu Fangcheng, et al.A current limiting method for single-loop voltage-magnitude controlled grid-forming converters during symmetrical faults[J]. IEEE Transactions on Power Electronics, 2022, 37(4): 4751-4763. [24] 刘昊霖, 贾科, 毕天姝, 等. 接入新能源大基地汇集系统的柔直换流站低电压穿越方法[J]. 电工技术学报, 2025, 40(3): 759-770. Liu Haolin, Jia Ke, Bi Tianshu, et al.Low voltage ride through methods for flexible DC converter stations connected to the gathering system of new energy base[J]. Transactions of China Electro-technical Society, 2025, 40(3): 759-770. [25] Rathnayake D B, Akrami M, Phurailatpam C, et al.Grid forming inverter modeling, control, and appli-cations[J]. IEEE Access, 2021, 9: 114781-114807. [26] 高本锋, 沈雨思, 宋瑞华, 等. 虚拟同步机控制模块化多电平变流器阻抗建模及次/超同步振荡稳定性分析[J]. 电工技术学报, 2025, 40(2): 559-573. Gao Benfeng, Shen Yusi, Song Ruihua, et al.Impedance modeling and sub/super synchronous oscillation stability analysis of modular multilevel converter under virtual synchronous generator control[J]. Transactions of China Electrotechnical Society, 2025, 40(2): 559-573. [27] 何佳伟, 周博昊, 李斌, 等. 柔直构网新能源送端系统故障响应特性计算方法[J]. 电力系统自动化, 2025, 49(1): 69-79. He Jiawei, Zhou Bohao, Li Bin, et al.Calculation method for fault response characteristics of renewable energy sending-end flexible DC grid-forming trans-mission system[J]. Automation of Electric Power Systems, 2025, 49(1): 69-79. [28] 刘昊霖, 贾科, 毕天姝, 等. 计及新能源耦合特性的柔直换流站短路电流解析[J]. 电工技术学报, 2025, 40(15): 4835-4844. Liu Haolin, Jia Ke, Bi Tianshu, et al.Analysis of short-circuit current in flexible DC converter stations considering the coupling characteristics of new energy sources[J]. Transactions of China Electro-technical Society, 2025, 40(15): 4835-4844. [29] Fu Xikun, Sun Jianjun, Huang Meng, 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, 2020, 36(7): 7832-7840. [30] 赖逸洋, 王增平, 王彤. 电流差动保护在柔直接入的交流电网中适应性分析及改进措施研究[J]. 电力系统保护与控制, 2023, 51(3): 145-154. Lai Yiyang, Wang Zengping, Wang Tong.Adapta-bility analysis of current differential protection in an AC power grid with an MMC-HVDC and impro-vement measures[J]. Power System Protection and Control, 2023, 51(3): 145-154. [31] 中国经济网. 国家电网董事长: 预计2030年我国新能源发电装机规模将超过煤电[EB/OL]. (2022-08-01) [2025-10-25]. http://www.ce.cn/xwzx/gnsz/gdxw/202208/01/t20220801_37924052.shtml. [32] Zheng Yuchao, Wang Tong, He Shuwei, et al.Analytical expression of short circuit current for virtual synchronous generator with improved low voltage ride through control strategy[C]//2023 IEEE Power & Energy Society General Meeting (PESGM), Orlando, FL, USA, 2023: 1-5. [33] 郑黎明, 贾科, 毕天姝, 等. 海上风电接入柔直系统交流侧故障特征及对保护的影响分析[J]. 电力系统保护与控制, 2021, 49(20): 20-32. Zheng Liming, Jia Ke, Bi Tianshu, et al.AC-side fault analysis of a VSC-HVDC transmission system con-nected to offshore wind farms and the impact on protection[J]. Power System Protection and Control, 2021, 49(20): 20-32. [34] 常鲜戎, 赵书强. 电力系统暂态过程[M]. 北京: 机械工业出版社, 2010. [35] Sun Shitao, Lei Yu, Hao Guowen, et al.Transient damping of virtual synchronous generator for enhancing synchronization stability during voltage dips[J]. CES Transactions on Electrical Machines and Systems, 2024, 8(2): 143-151. [36] Wang Lei, Zhou Hao, Hu Xuekai, et al.Adaptive inertia and damping coordination (AIDC) control for grid-forming VSG to improve transient stability[J]. Electronics, 2023, 12(9): 2060. [37] 刘思佳, 刘海涛, 张隽, 等. 基于等效阻抗的虚拟同步机电压支撑影响因素分析与改进控制策略研究[J]. 电工技术学报, 2025, 40(9): 2738-2751. Liu Sijia, Liu Haitao, Zhang Jun, et al.Research on the analysis of virtual synchronous generator voltage support influence factors and improvement control strategies based on equivalent impedance[J]. Transac-tions of China Electrotechnical Society, 2025, 40(9): 2738-2751. [38] 梅宇, 宗剑. 基于自适应虚拟同步机的并网逆变器控制策略[J/OL]. 电源学报, 2025: 1-10. (2025-06-06) [2025-10-25]. https://kns.cnki.net/kcms/detail/12.1420.TM.20250606.1003.004.html. Mei Yu, Zong Jian. Control strategy for grid connected inverters based on adaptive virtual syn-chronous generator[J/OL]. Journal of Power Supply, 2025: 1-10. (2025-06-06) [2025-10-25]. https://kns.cnki.net/kcms/detail/12.1420.TM.20250606.1003.004.html. [39] 刘慧媛, 肖繁, 张哲, 等. 新能源电源接入不平衡配电网的短路计算方法[J]. 电力系统自动化, 2019, 43(21): 177-186. Liu Huiyuan, Xiao Fan, Zhang Zhe, et al.Short-circuit calculation method for unbalanced distribution network with integration of renewable energy[J]. Automation of Electric Power Systems, 2019, 43(21): 177-186. [40] Bai Xuefeng, Jiang Tong, Guo Zhizhong, et al.A unified approach for processing unbalanced con-ditions in transient stability calculations[J]. IEEE Transactions on Power Systems, 2006, 21(1): 85-90.