Small-Signal Modelling of LCC-MMC Series Hybrid HVDC Transmission System
He Yongjie1, Xiang Wang2, Zhou Jiapei3, Zhao Jingbo4, Wen Jinyu1
1. State Key Laboratory of Advanced Electromagnetic Engineering and Technology Huazhong University of Science and Technology Wuhan 430074 China; 2. Department of Electronic and Electrical Engineering University of Strathclyde Glasgow G1 1XW UK; 3. State Key Laboratory of Advanced Power Transmission Technology Global Energy Interconnection Research Institute Co. Ltd Beijing 102209 China; 4. Electric Power Research Institute of State Grid Jiangsu Electric Power Co. Ltd Nanjing 211103 China
Abstract:This paper establishes the small-signal model of LCC-MMC series hybrid HVDC transmission system, which rectifier side is LCC and which inverter side is series connect of LCC and MMC. Firstly, equivalent circuits of the AC and DC sides of LCC and equivalent circuits of the AC and DC sides of MMC considering internal dynamic characteristics are derived. Then, models of the rectifier and inverter sides of the system are constructed based on equivalent circuits. By combining each part of the above, consisting of the DC line and control system, the entire system's model is obtained. Finally, the small-signal model of the entire system is obtained by linearizing the entire system's model. The accuracy of the small-signal model is verified by comparing the electromagnetic transient model based on PSCAD/EMTDC. The influences of the constant DC voltage control parameters of MMC and LCC in the inverter-side, PLL parameters, and the tie line parameters on the small-signal stability of the system are analyzed based on the small-signal model. The small-signal model of LCC-MMC series hybrid DC transmission system proposed in this paper can be used for the system's small-signal stability analysis, thereby providing a valuable reference for system design and parameter selection.
[1] 汤广福, 庞辉, 贺之渊. 先进交直流输电技术在中国的发展与应用[J]. 中国电机工程学报, 2016, 36(7): 1760-1771. Tang Guangfu, Pang Hui, He Zhiyuan.R&D and application of advanced power transmission technology in China[J]. Proceedings of CSEE, 2016, 36(7): 1760-1771. [2] 赵畹君. 高压直流输电工程技术[M]. 北京: 中国电力出版社, 2010. [3] 徐政. 柔性直流输电系统[M]. 北京: 机械工业出版社, 2012. [4] 赵成勇. 混合直流输电[M]. 北京: 科学出版社, 2014. [5] 杨之翰, 李梦柏, 向往, 等. 基于无闭锁直流自耦变压器的LCC-HVDC与VSC-HVDC互联系统[J]. 电工技术学报, 2018, 33(增刊2): 499-510. Yang Zhihan, Li Mengbo, Xiang Wang, et al.Research on the interconnection system of VSC-HVDC and LCC-HVDC based on un-interrupted DC-DC autotransformer[J]. Transactions of China Electrotechnical Society, 2018, 33(S2): 499-510. [6] 郑安然, 郭春义, 殷子寒, 等. 提高弱交流系统下混合多端直流输电系统小干扰稳定性的控制参数优化调节方法[J]. 电工技术学报, 2020, 35(6): 1336-1345. Zheng Anran, Guo Chunyi, Yin Zihan, et al.Optimal adjustment method of control parameters for improving small-signal stability of hybrid multi-terminal HVDC system under weak AC condition[J]. Transactions of China Electrotechnical Society, 2020, 35(6): 1336-1345. [7] 王燕宁, 郭春义, 郑安然, 等. 极弱受端交流系统下LCC-MMC型混合直流输电系统的附加频率-电压阻尼控制[J]. 电工技术学报, 2020, 35(7): 1509-1520. Wang Yanning, Guo Chunyi, Zheng Anran, et al.Supplementary frequency-voltage damping control for LCC-MMC hybrid HVDC system connected to extremely weak receiving AC grid[J]. Transactions of China Electrotechnical Society, 2020, 35(7): 1509-1520. [8] 李广凯, 李庚银, 梁海峰, 等. 新型混合直流输电方式的研究[J]. 电网技术, 2006, 30(4): 82-86. Li Guangkai, Li Gengyin, Liang Haifeng, et al.Research on a novel hybrid HVDC system[J]. Power System Technology, 2006, 30(4): 82-86. [9] 唐庚, 徐政, 薛英林. LCC-MMC混合高压直流输电系统[J]. 电工技术学报, 2013, 28(10): 301-310. Tang Geng, Xu Zheng, Xue Yinglin.A LCC-MMC hybrid HVDC transmission system[J]. Transactions of China Electrotechnical Society, 2013, 28(10): 301-310. [10] 林卫星, 文劲宇, 王少荣, 等. 一种适用于风电直接经直流大规模外送的换流器[J]. 中国电机工程学报, 2014, 34(13): 2022-2030. Lin Weixing, Wen Jinyu, Wang Shaorong, et al.A kind of converters suitable for large-scale integration of wind power directly through HVDC[J]. Proceedings of CSEE, 2014, 34(13): 2022-2030. [11] 徐政, 王世佳, 李宁璨, 等. 适用于远距离大容量架空线路的LCC-MMC串联混合型直流输电系统[J]. 电网技术, 2016, 40(1): 55-63. Xu Zheng, Wang Shijia, Li Ningcan, et al.A LCC and MMC series hybrid HVDC topology suitable for bulk power overhead line transmission[J]. Power System Technology, 2016, 40(1): 55-63. [12] 刘杉, 余军, 贺之渊, 等. 基于VSC与LCC混合的多点传输直流输电系统拓扑结构研究与特性分析[J]. 中国电机工程学报, 2018, 38(10): 2980-2988, 3148. Liu Shan, Yu Jun, He Zhiyuan, et al.Research on the topology and characteristic of multi-terminal HVDC based on VSC and LCC[J]. Proceedings of the CSEE, 2018, 38(10): 2980-2988, 3148. [13] 杨睿璋, 向往, 饶宏, 等. 一种适用于大容量功率馈入和异步电网互联的级联换流阀[J]. 中国电机工程学报, 2019, 39(17): 5182-5194, 5299. Yang Ruizhang, Xiang Wang, Rao Hong, et al.A cascaded converter dedicated for large capacity power infeed and asynchronous interconnection[J]. Proceedings of CSEE, 2019, 39(17): 5182-5194, 5299. [14] Jovcic D, Pahalawaththa N, Zavahir M.Analytical modelling of HVDC-HVAC systems[J]. IEEE Transactions on Power Delivery, 1999, 14(2): 506-511. [15] Jovcic D, Pahalawaththa N, Zavahir M.Small signal analysis of HVDC-HVAC interactions[J]. IEEE Transactions on Power Delivery, 1999, 14(2): 525-530. [16] Karawita C, Annakkage U D.Multi-infeed HVDC interaction studies using small-signal stability assessment[J]. IEEE Transactions on Power Delivery, 2009, 24(2): 910-918. [17] 郭春义, 宁琳如, 王虹富, 等. 基于开关函数的LCC-HVDC换流站动态模型及小干扰稳定性[J]. 电网技术, 2017, 41(12): 3862-3870. Guo Chunyi, Ning Linru, Wang Hongfu, et al.Switching-function based dynamic model of LCC-HVDC station and small signal stability analysis[J]. Power System Technology, 2017, 41(12): 3862-3870. [18] 鲁晓军, 林卫星, 安婷, 等. MMC电气系统动态相量模型统一建模方法及运行特性分析[J]. 中国电机工程学报, 2016, 36(20): 5479-5491, 5724. Lu Xiaojun, Lin Weixing, An Ting, et al.A unified dynamic phasor modeling and operating characteristic analysis of electrical system of MMC[J]. Proceedings of the CSEE, 2016, 36(20): 5479-5491, 5724. [19] 李探, Aniruddha M Gole, 赵成勇. 考虑内部动态特性的模块化多电平换流器小信号模型[J]. 中国电机工程学报, 2016, 36(11): 2890-2899. Li Tan, Gole A M, Zhao Chengyong.Small-signal model of the modular multilevel converter considering the internal dynamics[J]. Proceedings of the CSEE, 2016, 36(11): 2890-2899. [20] 鲁晓军, 林卫星, 向往, 等. 基于模块化多电平换流器的直流电网小信号建模[J]. 中国电机工程学报, 2018, 38(4): 1143-1156, 1292. Lu Xiaojun, Lin Weixing, Xiang Wang, et al.Small signal modeling of MMC-based DC grid[J]. Proceedings of the CSEE, 2018, 38(4): 1143-1156, 1292. [21] 喻悦箫, 刘天琪, 王顺亮, 等. 基于平均值模型的双端MMC-HVDC系统小信号建模[J]. 中国电机工程学报, 2018, 38(10): 2999-3006, 3150. Yu Yuexiao, Liu Tianqi, Wang Shunliang, et al.Small signal modeling of two-terminal MMC-HVDC based on AVM model[J]. Proceedings of the CSEE, 2018, 38(10): 2999-3006, 3150. [22] 郭春义, 殷子寒, 王烨, 等. LCC-MMC型混合直流输电系统小干扰动态模型[J]. 中国电机工程学报, 2018, 38(16): 4705-4714, 4975. Guo Chunyi, Yin Zihan, Wang Ye, et al.Small-signal dynamic model of LCC-MMC hybrid HVDC system[J]. Proceedings of the CSEE, 2018, 38(16): 4705-4714, 4975. [23] 郭春义, 殷子寒, 王烨, 等. LCC-MMC型混合直流输电系统小干扰稳定性研究[J]. 中国电机工程学报, 2019, 39(4): 1040-1052. Guo Chunyi, Yin Zihan, Wang Ye, et al.Investigation on small-signal stability of hybrid LCC-MMC HVDC system[J]. Proceedings of the CSEE, 2019, 39(4): 1040-1052. [24] Guo Chunyi, Zheng Anran, Yin Zihan, et al.Small-signal stability of hybrid multi-terminal HVDC system[J]. International Journal of Electrical Power & Energy Systems, 2019, 109: 434-443. [25] Daryabak M, Filizadeh S, Jatskevich J, et al.Modeling of LCC-HVDC systems using dynamic phasors[J]. IEEE Transactions on Power Delivery, 2014, 29(4): 1989-1998.