A Sub-synchronous Interaction Analysis Method of Renewable Energy Generations Integrated With LCC-HVDC System Based on Damping Path
Gao Benfeng1, Wang Yi1, Fan Hui2, Liang Jifeng3, Zhang Jianpo1
1. Hebei Key Laboratory of Distributed Energy Storage and Micro-grid North China Electric Power University Baoding 071003 China; 2. State Grid Hebei Electric Power Supply Co. Ltd Shijiazhuang 050021 China; 3. Electric Power Research Institute of State Grid Hebei Electric Power Supply Co. Ltd Shijiazhuang 050021 China
Abstract：In China, wind power, photovoltaic and other renewable energy are mainly distributed in the western and northern regions, far from the load center in the eastern and central regions. Therefore, line-commutated converter-based high voltage direct current (LCC-HVDC) has become the main form of renewable energy transmission. However, due to the rapid development of renewable energy, more and more renewable energy bases will be connected to the near area of LCC-HVDC transmission end, and the proportion of renewable energy will increase, resulting in the weakening of the support capacity of conventional power supply. The interaction between grid connected voltage source converter (VSC) of renewable energy power generation equipment and LCC-HVDC is more and more obvious, and this interaction has the risk of inducing sub-synchronous oscillation (SSO). Therefore, it is urgent to study the sub-synchronous interaction of renewable energy generations integrated with LCC-HVDC system. At present, the research methods for the SSO characteristics of renewable energy generations integrated with LCC-HVDC system mainly focus on impedance analysis method and eigenvalue analysis method, and the research content also focuses on the judgment of SSO stability, while there is basically no research on the sub-synchronous interaction. Therefore, it is necessary to study the sub-synchronous interaction at the physical level from a new perspective. This paper uses the damping path to analyze the transmission process of the sub-synchronous frequency disturbance to analyze the sub-synchronous interaction of the system. Firstly, the second-order motion equations of three kinds of oscillation dominant elements are derived. By analogy with the Heffron-Phillips model of synchronous machine rotor, the "Heffron-Phillips-like model" is obtained to analyze the stability of oscillation dominant elements. Then, based on the dynamic process of the oscillation dominant element, the closed-loop transfer function block diagram of the system established, and three kinds of damping paths are obtained through analysis, which are: the first kind of damping path reflecting the internal damping of power electronic equipment, the second kind of damping path reflecting the interaction between the power electronic equipment and the AC system, and the third kind of damping path reflecting the interaction between different power electronic equipment. Then, the closed-loop transfer function block diagram of the system is reconstructed to separate the damping of each path, and the damping of SSO mode is quantitatively evaluated by using the concept of damping coefficient in the Heffron-Phillips-like model, so as to achieve the purpose of analyzing the influence of sub-synchronous interaction on SSO stability. Finally, taking the direct drive wind farm integrated with LCC-HVDC system as an example, the path damping characteristics of LCC-HVDC DC-link inductor dominated SSO mode are studied, and the influence of controller parameters on path damping is analyzed. The results show that the sub-synchronous interaction between LCC-HVDC and direct driven wind farm mainly provides negative damping in the DC- link inductor SSO mode, which is not conducive to the stability of the system. The controller parameters have obvious influence on the path damping characteristics. By analyzing the influence of the system parameters on the path damping, the main influence links of the sub-synchronous interaction can be obtained, and then relevant measures can be taken to better suppress SSO. The conclusions can provide guidance for the design of controller parameters in engineering practice.
高本锋, 王义, 范辉, 梁纪峰, 张建坡. 基于阻尼路径的新能源经LCC-HVDC送出系统次同步交互作用分析方法[J]. 电工技术学报, 0, (): 74-74.
Gao Benfeng, Wang Yi, Fan Hui, Liang Jifeng, Zhang Jianpo. A Sub-synchronous Interaction Analysis Method of Renewable Energy Generations Integrated With LCC-HVDC System Based on Damping Path. Transactions of China Electrotechnical Society, 0, (): 74-74.
[1] 马宁宁, 谢小荣, 贺静波, 等. 高比例新能源和电力电子设备电力系统的宽频振荡研究综述[J]. 中国电机工程学报, 2020, 40(15): 4720-4732. Ma Ningning, Xie Xiaorong, He Jingbo, et al.Review of wide-band oscillation in renewable and power electronics highly integrated power systems[J]. Proceedings of the CSEE, 2020, 40(15): 4720-4732. [2] 高本锋, 陈淑平, 刘毅. 光伏与LCC-HVDC系统的次同步振荡耦合路径及阻尼特性分析[J]. 电力系统自动化, 2022, 46(24): 66-75. Gao Benfeng, Chen Shuping, Liu Yi.Analysis on coupling path and damping characteristics of sub-synchronous oscillation between photovoltaic and LCC-HVDC system[J]. Automation of Electric Power Systems, 2022, 46(24): 66-75. [3] 肖湘宁, 罗超, 廖坤玉. 新能源电力系统次同步振荡问题研究综述[J]. 电工技术学报, 2017, 32(6): 85-97. Xiao Xiangning, Luo Chao, Liao Kunyu.Review of the research on subsynchronous oscillation issues in electric power system with renewable energy sources[J]. Transactions of China Electrotechnical Society, 2017, 32(6): 85-97. [4] 王利超, 于永军, 张明远, 等. 直驱风电机组阻抗建模及次同步振荡影响因素分析[J]. 电力工程技术, 2020, 39(1): 170-177. Wang Lichao, Yu Yongjun, Zhang Mingyuan, et al.Impedance model and analysis of subsynchronous oscillation influence factors for grid-connected full-converter wind turbines[J]. Electric Power Engineering Technology, 2020, 39(1): 170-177. [5] 刘其辉, 洪晨威, 逄思敏, 等. 基于弹性系数的双馈风电机组控制参数对次同步振荡作用分析及调整方法[J]. 电工技术学报, 2022, 37(14): 3528-3541. Liu Qihui, Hong Chenwei, Pang Simin, et al.Analysis and adjustment method of doubly-fed fan control parameters on subsynchronous oscillation based on impedance elastic sensitivity[J]. Transactions of China Electrotechnical Society, 2022, 37(14): 3528-3541. [6] 汪春江, 孙建军, 宫金武, 等. 并网逆变器与电网阻抗交互失稳机理及阻尼策略[J]. 电工技术学报, 2020, 35(增刊2): 503-511. Wang Chunjiang, Sun Jianjun, Gong Jinwu, et al.Mechanism and damping strategy of interactive instability between grid-connected inverter and grid impedance[J]. Transactions of China Electrotechnical Society, 2020, 35(S2): 503-511. [7] 刘一锋, 周小平, 洪乐荣, 等. 虚拟惯性控制的负荷变换器接入弱电网的序阻抗建模与稳定性分析[J]. 电工技术学报, 2021, 36(4): 843-856. Liu Yifeng, Zhou Xiaoping, Hong Lerong, et al.Sequence impedance modeling and stability analysis of load converter with virtual inertia control connected to weak grid[J]. Transactions of China Electrotechnical Society, 2021, 36(4): 843-856. [8] 赖林琛, 周强, 杜文娟, 等. 同型光热发电机并联聚合对光热发电场振荡稳定性影响[J]. 电工技术学报, 2022, 37(1): 179-191, 231. Lai Linchen, Zhou Qiang, Du Wenjuan, et al.Impact of dynamic aggregation of same concentrating solar power generators in parallel connection on the oscillation stability of a CSP plant[J]. Transactions of China Electrotechnical Society, 2022, 37(1): 179-191, 231. [9] Liu Huakun, Xie Xiaorong, He Jingbo, et al.Subsynchronous interaction between direct-drive PMSG based wind farms and weak AC networks[J]. IEEE Transactions on Power Systems, 2017, 32(6): 4708-4720. [10] 高本锋, 崔意婵, 李蕴红, 等. D-PMSG经LCC-HVDC送出系统的次同步振荡特性分析[J]. 中国电机工程学报, 2022, 42(6): 2084-2096. Gao Benfeng, Cui Yichan, Li Yunhong, et al.Analysis of subsynchronous oscillation characteristics of D-PMSG integrated with LCC-HVDC system[J]. Proceedings of the CSEE, 2022, 42(6): 2084-2096. [11] 高本锋, 刘毅, 宋瑞华, 等. 双馈风电场经LCC-HVDC送出的次同步振荡特性研究[J]. 中国电机工程学报, 2020, 40(11): 3477-3489. Gao Benfeng, Liu Yi, Song Ruihua, et al.Study on subsynchronous oscillation characteristics of DFIG-based wind farm integrated with LCC-HVDC system[J]. Proceedings of the CSEE, 2020, 40(11): 3477-3489. [12] Liu Hanchao, Sun Jian.Small-signal stability analysis of offshore wind farms with LCC HVDC[C]//2013 IEEE Grenoble Conference, Grenoble, France, 2013: 1-8. [13] Añó-Villalba S, Bernal-Perez S, Martinez-Turegano J, et al.Impedance-based stability analysis for HVDC diode-rectifier connected off-shore wind farms[C]//IECON 2019-45th Annual Conference of the IEEE Industrial Electronics Society, Lisbon, Portugal, 2019: 2389-2394. [14] 薛安成, 付潇宇, 乔登科, 等. 风电参与的电力系统次同步振荡机理研究综述和展望[J]. 电力自动化设备, 2020, 40(9): 118-128. Xue Ancheng, Fu Xiaoyu, Qiao Dengke, et al.Review and prospect of research on sub-synchronous oscillation mechanism for power system with wind power participation[J]. Electric Power Automation Equipment, 2020, 40(9): 118-128. [15] Du Wenjuan, Ren Bixing, Wang Haifeng, et al.Comparison of methods to examine sub-synchronous oscillations caused by grid-connected wind turbine generators[J]. IEEE Transactions on Power Systems, 2019, 34(6): 4931-4943. [16] 高本锋, 刘毅, 李蕴红, 等. 直驱风电场与LCC-HVDC次同步交互作用的扰动传递路径及阻尼特性分析[J]. 中国电机工程学报, 2021, 41(5): 1713-1729. Gao Benfeng, Liu Yi, Li Yunhong, et al.Analysis on disturbance transfer path and damping characteristics of sub-synchronous interaction between D-PMSG-based wind farm and LCC-HVDC[J]. Proceedings of the CSEE, 2021, 41(5): 1713-1729. [17] 高本锋, 王义, 曾四鸣, 等. 直驱风电场并入弱交流电网的次同步分量通路及阻尼特性分析[J]. 中国电机工程学报, 2022, 42(14): 5089-5103. Gao Benfeng, Wang Yi, Zeng Siming, et al.Analysis of sub-synchronous component path and damping characteristics of D-PMSG-based wind farm incorporated into weak AC grid[J]. Proceedings of the CSEE, 2022, 42(14): 5089-5103. [18] 王一珺, 杜文娟, 陈晨, 等. 基于改进复转矩系数法的风电场并网引发电力系统次同步振荡研究[J]. 电工技术学报, 2020, 35(15): 3258-3269. Wang Yijun, Du Wenjuan, Chen Chen, et al.Study on sub-synchronous oscillations of power systems caused by grid-connected wind farms based on the improved complex torque coefficients method[J]. Transactions of China Electrotechnical Society, 2020, 35(15): 3258-3269. [19] Yuan Hao, Yuan Xiaoming, Hu Jiabing.Modeling of grid-connected VSCs for power system small-signal stability analysis in DC-link voltage control timescale[J]. IEEE Transactions on Power Systems, 2017, 32(5): 3981-3991. [20] 张思东, 黄云辉, 周党生, 等. 弱电网下VSC控制环路对直流电压稳定性的影响分析[J]. 高电压技术, 2021, 47(8): 2730-2742. Zhang Sidong, Huang Yunhui, Zhou Dangsheng, et al.Impacts analysis of VSC control loop on DC voltage control stability in weak-grid[J]. High Voltage Engineering, 2021, 47(8): 2730-2742. [21] Lu Jun, Yuan Xiaoming, Hu Jiabing, et al.Motion equation modeling of LCC-HVDC stations for analyzing DC and AC network interactions[J]. IEEE Transactions on Power Delivery, 2020, 35(3): 1563-1574. [22] Hu Jiabing, Yuan Hao, Yuan Xiaoming.Modeling of DFIG-based WTs for small-signal stability analysis in DVC timescale in power electronized power systems[J]. IEEE Transactions on Energy Conversion, 2017, 32(3): 1151-1165. [23] Huang Yunhui, Zhai Xuebing, Hu Jiabing, et al.Modeling and stability analysis of VSC internal voltage in DC-link voltage control timescale[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2018, 6(1): 16-28. [24] 董文凯, 杜文娟, 王海风. 弱连接条件下锁相环动态主导的并网直驱风电场小干扰稳定性研究[J]. 电工技术学报, 2021, 36(3): 609-622. Dong Wenkai, Du Wenjuan, Wang Haifeng.Small-signal stability of a grid-connected PMSG wind farm dominated by dynamics of PLLs under weak grid connection[J]. Transactions of China Electrotechnical Society, 2021, 36(3): 609-622. [25] Xu Yanhui, Gao Tianchu.Sub-synchronous frequency domain-equivalent modeling for wind farms based on rotor equivalent resistance characteristics[J]. Global Energy Interconnection, 2022, 5(3): 293-300. [26] Wu Meng, Xie Le, Cheng Lin, et al.A study on the impact of wind farm spatial distribution on power system sub-synchronous oscillations[J]. IEEE Transactions on Power Systems, 2016, 31(3): 2154-2162. [27] Wang Cong, Li Yan, Fan Yiwen, et al.Development of wind-energy modeling technology and standards[J]. Global Energy Interconnection, 2022, 5(2): 206-216. [28] 徐衍会, 曹宇平. 直驱风机网侧换流器引发次/超同步振荡机理研究[J]. 电网技术, 2018, 42(5): 1556-1564. Xu Yanhui, Cao Yuping.Research on mechanism of sub/sup-synchronous oscillation caused by GSC controller of direct-drive permanent magnetic synchronous generator[J]. Power System Technology, 2018, 42(5): 1556-1564.
