Abstract:The methods of stability analysis and control about the conventional high voltage direct current(HVDC) transmission system are surveyed. In particular, the methods of stability, observability and controllability analysis, various control theories and cooperative control strategies applied in the multi-infeed direct current(MIDC) transmission system are reviewed. Finally, the existing flaws in current research of HVDC control are pointed out, as well as the future work.
李兴源, 赵睿, 刘天琪, 王渝红, 王曦. 传统高压直流输电系统稳定性分析和控制综述[J]. 电工技术学报, 2013, 28(10): 288-300.
Li Xingyuan, Zhao Rui, Liu Tianqi, Wang Yuhong, Wang Xi. Research of Conventional High Voltage Direct Current Transmission System Stability Analysis and Control. Transactions of China Electrotechnical Society, 2013, 28(10): 288-300.
[1] Ashmore Colin. Transmit the light fantastic[J]. Power Engineer, 2006, 20(2): 24-27. [2] Szechtman Marcio Maruvada, P Sarma, Nayak R N. 800kV HVDC on the horizon[J]. IEEE Power and Energy Magazine, 2007, 5(2): 61-69. [3] Henderson Michael, Gagnon Julien, Bertagnolli David, et al. Building a plan for HVDC[J]. IEEE Power and Energy Magazine, 2007, 5(2): 52-60. [4] Long Willis, Nilsson Stig. HVDC transmission: yesterday and today[J]. IEEE Power and Energy Magazine, 2007, 5(2): 22-31. [5] Bahrman Michael P, Johnson Brain K. The ABCs of HVDC transmission technologies[J]. IEEE Power and Energy Magazine, 2007, 5(2): 32-44. [6] Bui L X, Sood V K, Laurin S. Dynamic interactions between HVDC systems connected to AC buses in close proximity[J]. IEEE Transactions on Power Delivery, 1991, 6(1): 223-230. [7] Szechtman M, Maruvada P S, Nayak R N. 800kV HVDC on the horizon[J]. IEEE Power and Energy Magazine, 2007, 5(2): 61-69. [8] Krishnayya P C S, Adapa R, Holm M, et al. IEEE guide for planning DC links terminating at AC locations having low short-circuit capacities. Part 1: AC/DC system interaction phenomena[R]. France: CIGRE, 1997. [9] Andersson G, Atmuri R, Rosenqvist R, et al. Influence of hydro units' generator-to-turbine inertia ratio on damping of subsynchronous oscillations[J]. IEEE Transactions on Power Apparatus and Systems, 1984, 103(8): 2352-2361. [10] Nayak Omprakash B, Golé Aniruddha M, Chapman Doug G, et al. Control sensitivity indices for stability analysis of HVDC systems[J]. IEEE Transactions on Power Delivery, 1995, 10(4): 2054-2060. [11] Franken B, Andersson G. Analysis of HVDC converters connected to weak AC systems[J]. IEEE Transactions on Power Systems, 1990, 5(1): 235-242. [12] Yacamini R, Taalab A M I. Steady-state stability of an HVDC system using frequency-response methods [J]. IEE Proceedings C—Generation, Transmission and Distribution, 1983, 130(4): 194-200. [13] Piwko R J, Othman H A, Alvarez O A, et al. Eigenvalue an frequency-domain analysis of the intermountain power project and the WSCC network[J]. IEEE Transactions on Power Systems, 1991, 6(1): 238-244. [14] Aik D L H, Andersson G. Voltage stability analysis of multi-infeed HVDC systems[J]. IEEE Transactions on Power Delivery, 1997, 12(3): 1309-1318. [15] Aik D L H, Andersson G. Use of participation factors in model voltage stability analysis of multi-infeed HVDC systems[J]. IEEE Transactions on Power Delivery, 1998, 13(1): 203-211. [16] Aik D L H, Andersson G. Power stability analysis of multi-infeed HVDC systems[J]. IEEE Transactions on Power Delivery, 1998, 13(3): 923-931. [17] 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. [18] CIGRE Working Group B4.41. Systems with multiple DC infeed[R]. Paris: CIGRE, 2008. [19] de Toledo P F, Bergdahl B, Asplund G. Multiple infeed short circuit ratio: aspects related to multiple HVDC into one AC network[C]. Transmission and Distribution Conference & Exhibition: Asia and Pacific, 2005 IEEE/PES, Dalian, China, 2005. [20] 刘建, 李兴源, 傅孝韬, 等. 多馈入短路比及多馈入交互作用因子与换相失败的关系[J]. 电网技术, 2009, 33(12): 20-25. Liu Jian, Li Xingyuan, Fu Xiaotao, et al. Relationship of multi-infeed short circuit ratio and multi-infeed interaction factor with commutation failure[J]. Power System Technology, 2009, 33(12): 20-25. [21] Rahimi E, Gole A, Davies B, et al. Communication failure analysis in mlti-infeed HVDC systems[J]. IEEE Transactions on Power Delivery, 2011, 26(1): 378-384. [22] 林伟芳, 汤涌, 卜广全. 多馈入交直流系统短路比的定义和应用[J]. 中国电机工程学报, 2008, 28(31): 1-8. Lin Weifang, Tang Yong, Bu Guangquan. Definition and application of short circuit ratio for multi-infeed AC/DC power systems[J]. Proceedings of the CSEE, 2008, 28(31): 1-8. [23] 林伟芳, 汤涌, 郭小江. 多馈入交直流系统短路比影响因素分析[J]. 电网技术, 2011, 35(8): 64-68. Lin Weifang, Tang Yong, Guo Xiaojiang. Analysis of influencing factors of short circuit ratio of multi-infeed AC/DC power systems[J]. Power System Technology, 2011, 35(8): 64-68. [24] Hammad A, Sadek K, Koelsch H, et al. Advanced scheme for AC voltage control at HVDC converter terminals[J]. IEEE Transactions on Power Apparatus and Systems, 1985, 104(3): 697-703. [25] Szechtman M, Ping W W, Salgado E, et al. Unconventional HVDC control technique for stabilization of a weak power system[J]. IEEE Transactions on Power Apparatus and Systems, 1984, 103(8): 2244-2248. [26] Yamaji K, Sekita M, Amano M, et al. Development of a hybrid margin angle controller for HVDC continuous operation[J]. IEEE Transactions on Power Systems, 1996, 11(4): 1792-1798. [27] Szechtman M, Ping W W, Salgado E, et al. Unconventional HVDC control technique for stabilization of a weak power system[J]. IEEE Transactions on Power Apparatus and Systems, 1984, 103(8): 2244-2248. [28] Smed T, Andersson G. Utilizing HVDC to damp power oscillations[J]. IEEE Transactions on Power Delivery, 1993, 8(2): 620-627. [29] 李兴源. 高压直流输电系统的运行与控制[M]. 北京: 科学出版社, 2010. [30] Rostamkolai N, Wegner C A, Piwko R J, et al. Control design of Santo Tome back-to-back HVDC link[J]. IEEE Transactions on Power Systems, 1993, 8(3): 1250-1256. [31] Gole A M, Reeve J, Pilotto L, et al. Working group on dynamic performance and modeling of DC systems and power electronics for transmission systems. Report on test systems for AC/DC interaction studies[J]. IEEE Transactions on Power Delivery, 1995, 10(4): 2027-2034. [32] El-Saadany E F, Salama M M A, Sood V K, et al. Monitoring HVDC systems using wavelet multi-resolution analysis[J]. IEEE Transactions on Power Systems, 2001, 16(4): 662-670. [33] Suonan Jiale L, Gao Shuping, Song Guobing B, et al. A novel fault-location method for HVDC transmission lines[J]. IEEE Transactions on Power Systems, 2001, 16(4): 662-670. [34] Naitoh H, Ishiguro F, Sato M, et al. Fast and predictive HVDC extinction angle control[J]. IEEE Transactions on Power Systems, 1997, 12(3): 1268-1275. [35] Heniche A, Kamwa I. Control loops selection to damp inter-area oscillations of electrical network[J]. IEEE Transactions on Power Systems, 2002, 17(2): 378-383. [36] Jovcic D, Pahalawaththa N, Zavahir M. Stability analysis of HVDC control loops[J]. IEEE Proceedings- Generation, Transmission and Distribution, 1999, 146(2): 143-148. [37] Mhaskar U P, Kulkarni A M. Power oscillation damping using FACTS devices: modal controllability, observability in local signals, and location of transfer function zeros[J]. IEEE Transactions on Power Systems, 2006, 21(1): 285-294. [38] Jovcic D, Pahalawaththa N, Zavahir M. Inverter controller for HVDC systems connected to weak AC systems[J]. IEEE Proceedings-Generation, Transmission and Distribution, 1999, 146(3): 235-240. [39] 洪奕光, 程代展. 非线性系统的分析与控制[M]. 北京: 科学出版社, 2005. [40] Pagola F L, Perez-Arriaga I J, Verghese G C. On sensitivities, residues and participations: applications to oscillatory stability analysis and control[J]. IEEE Transactions on Power Systems, 1989, 4(1): 278-285. [41] Martins N, Lima L T G. Determination of suitable locations for power system stabilizers and static VAR compensators for damping electromechanical oscillations in large scale power systems[J]. IEEE Transactions on Power Systems, 1990, 5(4): 1455-1469. [42] Farsangi M M, Song Y H, Lee K Y. Choice of FACTS device control inputs for damping interarea oscillations[J]. IEEE Transactions on Power Systems, 2004, 19(2): 1135-1143. [43] 李鹏, 贺静波, 石景海, 等. 交直流并联大电网广域阻尼控制技术理论与实践[J]. 南方电网技术, 2008, 2(4): 13-17. Li Peng, He Jingbo, Shi Jinghai, et al. The theory and practice of wide-area damping control for bulk HVAC/HVDC hybrid power systems[J]. Southern Power System Technology, 2008, 2(4): 13-17. [44] Wang Juanjuan, Fu Chuang, Zhang Yao. Design of WAMS-Based multiple HVDC damping control system[J]. IEEE Transactions on Smart Grid, 2011, 2(2): 363-373. [45] Y Li, C Rehtanz, S Ruberg, et al. Assessment and choice of input signals for multiple HVDC and FACTS wide-area damping controllers[J]. IEEE Transactions on Power Systems, 2012, 27(4): 1969-1977. [46] 张英敏, 陈虎, 李兴源, 等. 基于直流功率支援因子的紧急功率支援策略研究[J]. 四川大学学报, 2011, 43(5): 175-178, 196. Zhang Yingmin, Chen Hu, Li Xingyuan, et al. Study of emergency DC power support strategy based on DC power support factor[J]. Journal of Sichuan University, 2011, 43(5): 175-178, 196. [47] Erich Uhlmann. Power transmission by direct current[M]. New York: Springer-Verlag, 1975. [48] 赵婉君. 高压直流输电工程技术[M]. 北京: 中国电力出版社, 2009. [49] Dong-Joon Kim, Hae-Kon Nam, Young-Hwan Moon. A practical approach to HVDC sytem control for damping subsynchronous oscillation using the novel eigenvalue analysis program[J]. IEEE Transactions on Power Systems, 2007, 22(4): 1995-2002. [50] Piwko R J, Larsen E V. HVDC system control for damping of subsynchronous oscillations[J]. IEEE Transactions on Power Apparatus and Systems, 1982, 101(7): 2203-2211. [51] Kobayashi H, Ichiyanagi Katsuhiro. Improvement of the transient stability by optimal switching control of parallel AC-DC power systems[J]. IEEE Transactions on Power Apparatus and Systems, 1978, 97(4): 1140-1148. [52] Dash P K, Puthal B, Malik O P, et al. Transient stability and optimal control of parallel A. C.-D. C. power systems[J]. IEEE Transactions on Power Apparatus and Systems, 1976, 95(3): 811-820. [53] Katsuhiko Ogata. Modern Control Engineering[M]. New Jersey: Prentice Hall, 2010. [54] Farid Golnaraghi, Kuo Benjamin C. Automatic Control Systems[M]. New Jersey: Wiley, 2009. [55] O'Reilly J, Wood A R, Osauskas C M. Frequency domain based control design for an HVDC converter connected to a weak AC network[J]. IEEE Transactions on Power Delivery, 2003, 18(3): 1028-1033. [56] Dong-Joon Kim, Hae-Kon Nam, Young-Hwan Moon. A practical approach to HVDC sytem control for damping subsynchronous oscillation using the novel eigenvalue analysis program[J]. IEEE Transactions on Power Systems, 2007, 22(4): 1995-2002. [57] Denis Lee Hau Aik, Andersson G. Nonlinear dynamics in HVDC systems[J]. IEEE Transactions on Power Delivery, 1999, 14(4): 1417-1426. [58] Cresap R L, Mittelstadt W A. Small-signal modulation of the pacific HVDC intertie[J]. IEEE Transactions on Power Apparatus and Systems, 1976, 95(2): 536-541. [59] Mittelstadt W A, Scott D N, Taylor C W. Operating experience with modulation of the pacific HVDC intertie[J]. IEEE Transactions on Power Apparatus and Systems, 1978, 97(4): 1053-1059. [60] 卢强, 梅生伟, 孙元章. 电力系统非线性控制[M]. 北京: 清华大学出版社, 2008. [61] Daizhan Cheng, Tzyh-Jong Tarn, Isidori A, et al. Global external linearization of nonlinear systems via feedback[J]. IEEE Transactions on Automatic Control, 1985, 30(8): 808-811. [62] Lu Q, Sun Y Z. Nonlinear stabilizing control of multimachine systems[J]. IEEE Transactions on Power Systems, 1989, 4(1): 236-241. [63] 吴青华, 蒋林. 非线性控制理论在电力系统中应用综述[J]. 电力系统自动化, 2007, 25(3): 1-10. Wu Qinghua, Jiang Lin. Survey on nonlinear control theory and its applications in power systems[J]. Automation of Electric Power Systems, 2007, 25(3): 1-10. [64] 鲜艳霞, 李兴源. 提高暂态稳定性的HVDC与发电机励磁的非线性最优协调控制[J]. 电力系统保护与控制, 2004, 32(20): 1-4. Xian Yanxia, Li Xingyuan. An optimal nonlinear coordinated control of HVDC and generator excitation to improve transient stability of power system[J]. Power System Protection and Control, 2004, 32(20): 1-4. [65] 蔡超豪. HVDC的非线性H∞控制[J]. 电网技术, 2004, 28(5): 38-40. Cai Chaohao. Non-linear H∞ control of HVDC[J]. Power System Technology, 2004, 28(5): 38-40. [66] 李春文, 布莱克, 冯元琨. 多变量非线性控制的逆系统方法[M]. 北京: 清华大学出版社, 2000. [67] 李东海, 姜学智, 李立勤, 等. 逆系统方法在电力系统控制中的应用[J]. 电网技术, 1997, 21(7): 10-12. Li Donghai, Jiang Xuezhi, Li Liqin, et al. The inverse system method applied to power system control[J]. Power System Technology, 1997, 21(7): 10-12. [68] 李春文, 刘艳红. 基于逆系统方法的HVDC系统一般非线性控制[J]. 电力系统自动化, 2000, 24(22): 1-4. Li Chunwen, Liu Yanhong. A nonlinear feedback controller for the HVDC system with the inverse system method[J]. Automation of Electric Power Systems, 2000, 24(22): 1-4. [69] 刘艳红, 李春文. HVDC系统中换流器的一般非线性控制[J]. 电力系统自动化, 2000, 24(24): 12-13, 25. Liu Yanhong, Li Chunwen. Nonlinear control of the converter in HVDC systems[J]. Automation of Electric Power Systems, 2000, 24(24): 12-13, 25. [70] 丁青青, 王树民, 郭静波, 等. HVDC非仿射非线性系统的定电流定电压控制[J]. 清华大学学报, 2004, 44(10): 1325-1328. Ding Qingqing, Wang Shumin, Guo Jingbo, et al. Non-affine, nonlinear controller for HVDC systems for constant DC currents and DC voltages[J]. Journal of Tsinghua University(Science and Technology), 2004, 44(10): 1325-1328. [71] 朱红萍, 罗隆福. 高压直流输电与发电机励磁的综合变结构控制[J]. 电网技术, 2012, 36(3): 223-227. Zhu Hongping, Luo Longfu. A comprehensive variable structure control for HVDC power transmission and generator excitation[J]. Power System Technology, 2012, 36(3): 223-227. [72] 陈凌云, 李兴源, 刘红超, 等. 高压直流输电系统非线性变结构控制器的设计[J]. 电力系统自动化, 2003, 27(4): 6-9. Chen Lingyun, Li Xingyuan, Liu Hongchao, et al. Design of nonlinear variable-structure controller in HVDC systems[J]. Automation of Electric Power Systems, 2003, 27(4): 6-9. [73] 从振, 王奔. 高压直流输电的滑模变结构控制器设计[J]. 中国电力, 2010, 43(2): 10-13. Cong Zhen, Wang Ben. Design of sliding mode variable structure control for HVDC[J]. Electric Power, 2010, 43(2): 10-13. [74] Barnard Robert D. An optimal-aim control strategy for nonlinear regulation systems[J]. IEEE Transac- tions on Automatic Control, 1975, 20(2): 200-208. [75] 李兴源, 刘取, 高景德. 多机电力系统再同步最优变目标控制[J]. 中国电机工程学报, 1994, 14(4): 33-37, 72. Li Xingyuan, Liu Qu, Gao Jingde. Optimal- variable-aim control of resynchronization in multi- machine power systems[J]. Proceedings of the CSEE, 1994, 14(4): 33-37, 72. [76] X Y Li. A nonlinear emergency control strategy for HVDC transmission systems[J]. Electric Power Systems Research, 2003, 67(3): 153-159. [77] 李兴源, 刘红超, 邱晓燕, 等. 改善暂态稳定性的HVDC非线性控制策略[J]. 电力系统自动化, 2002, 26(14): 16-19. Li Xingyuan, Liu Hongchao, Qiu Xiaoyan, et al. A nonlinear control strategy of HVDC for improving transient stability of power systems[J]. Automation of Electric Power Systems, 2002, 26(14): 16-19. [78] 鲜艳霞, 李兴源. HVDC与发电机励磁的非线性综合控制策略[J]. 电网技术, 2004, 28(14): 32-35. Xian Yanxia, Li Xingyuan. A comprehensive nonlinear control strategy of HCVD and generator excitation[J]. Power System Technology, 2004, 28(14): 32-35. [79] 鲜艳霞, 李兴源. 提高交直流系统暂态稳定性的最优变目标控制策略[J]. 中国电力, 2004, 37(11): 15-18. Xian Yanxia, Li Xingyuan. Optimal variable aim control strategy for improving transient stability of AC/DC systems[J]. Electric Power, 2004, 37(11): 15-18. [80] 刘高原, 王杰. 交直流联合输电系统的鲁棒稳定控制器设计[J]. 中国电机工程学报, 2008, 28(4): 23-28. Liu Gaoyuan, Wang Jie. Robust stability controller design for AC/DC systems[J]. Proceedings of the CSEE, 2008, 28(4): 23-28. [81] 朱浩骏, 兰洲, 蔡泽祥, 等. 交直流互联系统鲁棒自适应直流功率调制[J]. 电力系统自动化, 2006, 30(7): 21-26. Zhu Haojun, Lan Zhou, Cai Zexiang, et al. Wide area measuring system signals based nonlinear robust adaptive DC power modulation controller in AC/DC interconnected power system[J]. Automation of Electric Power Systems, 2006, 30(7): 21-26. [82] 朱明, 刘玉生, 李兴源, 等. 高压直流换流站分散鲁棒自适应控制器的设计[J]. 电力系统自动化, 2003, 27(2): 41-44, 69. Zhu Ming, Liu Yusheng, Li Xingyuan, et al. Design of decentralized robust controllers for HVDC converters[J]. Automation of Electric Power Systems, 2003, 27(2): 41-44, 69. [83] 梅生伟, 申铁龙, 刘康志. 现代鲁棒控制理论与应用[M]. 北京: 清华大学出版社, 2008. [84] Aten M, Werner Herbert. Robust multivariable control design for HVDC back to back schemes[J]. IEE Proceedings-Generation, Transmission and Distribu- tion, 2003, 150(6): 761-767. [85] 杨秀, 王西田, 陈陈. 基于H∞鲁棒控制理论的高压直流输电系统附加次同步振荡阻尼控制设计[J]. 电网技术, 2006, 30(9): 57-61. Yang Xiu, Wang Xitian, Chen Chen. Design of supplemental sub-synchronous oscillation damping control based on H∞ robust control theory of HVDC system[J]. Power System Technology, 2006, 30(9): 57-61. [86] Li Yong, Rehtanz Christian, Rüberg, Sven A, et al. Wide-area robust coordination approach of HVDC and FACTS controllers for damping multiple interarea oscillations[J]. IEEE Transactions on Power Delivery, 2012, 27(3): 1096-1105. [87] 唐卓尧, 任震. HVDC系统DC侧有源直流滤波器的自适应控制[J]. 中国电机工程学报, 1999, 19(8): 45-48. Tang Zhuoyao, Ren Zhen. Adaptive control strategy for active DC filter on DC-side of HVDC system[J]. Proceedings of the CSEE, 1999, 19(8): 45-48. [88] 陈干平, 秦翼鸿, 徐国禹. 交直流并联输电系统自校正控制[J]. 重庆大学学报, 1991, 14(3): 16-21. Chen Ganping, Qin Yihong, Xu Guoyu, et al. A self-tuning AC/DC control for a parallel power system[J]. Journal of Chongqing University, 1991, 14(3): 16-21. [89] Reeve J, Sultan M. Gain scheduling adaptive control strategies for HVDC systems to accommodate large disturbance[J]. IEEE Transactions on Power Systems, 1994, 9(1): 366-372. [90] John Reeve, Mansour Sultan. Robust adaptive control of HVDC systems[J]. IEEE Transactions on Power Delivery, 1994, 9(3): 1487-1493. [91] Honjo N, Yamaji K, Yoshino T, et al. HVDC converter control for fast power recovery after AC system fault[J]. IEEE Transactions on Power Delivery, 1997, 12(3): 1319-1326. [92] Rostamkolai N, Phadke A G, Long W F, et al. An adaptive optimal control strategy for dynamic stability enhancement of AC/DC power systems[J]. IEEE Transactions on Power Systems, 1988, 3(3): 1139-1145. [93] 汤建华, 刘玉生, 李兴源. 高压直流输电系统换流站鲁棒自适应输出反馈控制[J]. 电力系统自动化, 2004, 28(17): 32-36. Tang Jianhua, Liu Yusheng, Li Xingyuan, et al. Robust self-adaptive output-feedback control for HVDC converters[J]. Automation of Electric Power Systems, 2004, 28(17): 32-36. [94] 颜泉, 李兴源, 王路, 等. 考虑未建模动态的直流输电系统鲁棒自适应控制[J]. 四川大学学报, 2005, 37(5): 154-158. Yan Quan, Li Xingyuan, Wang Lu, et al. The robust adaptive control of HVDC transmission system with unmodeled dynamic[J]. Journal of Sichuan University, 2005, 37(5): 154-158. [95] Bauman J, Kazerani M. Commutation failure reduction in HVDC systems using adaptive fuzzy logic controller[J]. IEEE Transactions on Power Systems, 2007, 22(4): 1995-2002. [96] Sun Y Z, Ling Peng, Feng Ma, et al. Design a fuzzy controller to minimize the effect of HVDC commutation failure on power system[J]. IEEE Tran- sactions on Power Systems, 2008, 23(1): 100-107. [97] Jiang Q Y, Cao Y J, Cheng S J. A genetic approach to design a HVDC supplementary subsynchronous damping controller[J]. IEEE Transactions on Power Delivery, 2005, 20(2): 1059-1064. [98] Daneshpooy Alireza, Gole Aniruddha M, Chapman Doug G, et al. Fuzzy logic control for HVDC transmission[J]. IEEE Transactions on Power Delivery, 1997, 12(4): 1690-1697. [99] Denis Lee Hau Aik, Andersson G. Nonlinear dynamics in HVDC systems[J]. IEEE Transactions on Power Delivery, 1999, 14(4): 1417-1426. [100] Wu C T, Shockley P R, Engstrom L. The intermountain power project 1600MW HVDC transmission system[J]. IEEE Transactions on Power Delivery, 1988, 3(3): 1249-1256. [101] Jovcic D, Pahalawaththa N, Zavahir M. Investigation of the use of inverter control strategy instead of synchronous condensers at inverter terminal of an HVDC system[J]. IEEE Transactions on Power Systems, 2000, 15(2): 704-709. [102] Wood A R, Arrillaga J, Saavedra A R. Unified control strategy for back-to-back HVDC convertor station[J]. IEE Proceedings C-Generation, Transmission and Distribution, 1993, 140(2): 77-86. [103] Sakurai T, Goto K, Matori I, et al. Cooperative control scheme for an HVDC system connected to an isolated BWR nuclear power plant[J]. IEEE Transactions on Power Apparatus and Systems, 1983, 102(6): 1894-1902. [104] Iravani Mohammad Reza. A software tool for coordination of controllers in power systems[J]. IEEE Transactions on Power Systems, 1990, 5(1): 119-125. [105] Iravani Mohammad Reza, Zhao Zhenyu, Hamouda R M. Impact of inverter station on torsional dynamics of parallel HVDC-AC power system[J]. IEEE Transac- tions on Power Systems, 1993, 8(3): 997-1003. [106] Hamouda R M, Iravani Mohammad Reza, Hackam, et al. Torsional oscillations of series capacitor compensated AC/DC systems[J]. IEEE Transactions on Power Systems, 1989, 4(3): 1634-1642. [107] Chand Jagdish. Auxiliary power controls on the Nelson River HVDC scheme[J]. IEEE Transactions on Power Systems, 1992, 7(1): 398-402. [108] Martin D E, Wong W K, Dickmander D L, et al. Increasing WSCC power system performance with modulation controls on the intermountain power project HVDC system[J]. IEEE Transactions on Power Delivery, 1992, 7(3): 1634-1642. [109] Grund C E, Pohl R V, Reeve J. Control design of an active and reactive power HVDC modulation system with kalman filtering[J]. IEEE Transactions on Power Apparatus and Systems, 1982, 101(10): 4100-4111. [110] Hatziadoniu C, Galanos G D. Interactions between the AC voltage and DC current in weak AC/DC interconnections[J]. IEEE Transactions on Power Delivery, 1988, 3(4): 2092-2102. [111] Jovcic D, Pahalawaththa N, Zavahir M. Small signal analysis of HVDC-HVAC interactions[J]. IEEE Transactions on Power Delivery, 1999, 14(2): 525-530. [112] Andersson G, Atmuri R, Rosenqvist R, et al. Influence of hydro units’ generator-to-turbine inertia ratio on damping of subsynchronous oscillations[J]. IEEE Transactions on Power Apparatus and Systems, 1984, 103(8): 2352-2361. [113] 余涛, 沈善德, 任震. 华中-华东多回HVDC紧急功率转移控制的研究[J]. 电网技术, 2004, 28(12): 1-4, 19. Yu Tao, Shen Shande, Ren Zhen. Research on emergency power shifting control of multi-circuit HVDC systems from central China power grid to east china power grid[J]. Power System Technology, 2004, 28(12): 1-4, 19. [114] 余涛, 沈善德. 华中-华东多回HVDC辅助功率/频率控制[J]. 电力系统自动化, 2005, 29(1): 77-82. Yu Tao, Shen Shande. Study on the auxiliary power/frequency control of center china to east china to east china multi-circuit HVDC links[J]. Automation of Electric Power Systems, 2005, 29(1): 77-82. [115] Koji Yamaji, Masakazu Sato, Kazuo Kato. Cooperative control between large capacity HVDC system and thermal power plant[J]. IEEE Transactions on Power Systems, 1999, 14(2): 629-634. [116] Lee R L, Melvold D J, Szumlas D J, et al. Potential DC system support to enhance AC system performance in the Western United States[J]. IEEE Transactions on Power Systems, 1993, 8(1): 264-274. [117] Pilotto L A S, Ping W W, Carvalho A R, et al. Determination of needed facts controllers that increase asset utilization of power systems[J]. IEEE Transactions on Power Delivery, 1997, 12(1): 364-371. [118] Reeve J, Lane-Smith S Pl. Multi-infeed HVDC transient response and recovery strategies[J]. IEEE Transactions on Power Delivery, 1993, 8(4): 1995-2001. [119] Pilotto L A S, Szechtman M, Wey A, et al. Synchronizing and damping torque modulation controllers for multi-infeed HVDC systems[J]. IEEE Transactions on Power Delivery, 1995, 10(3): 1005-1513. [120] Hauer J F, Demeure C J, Scharf L L, et al. Initial results in prony analysis of power system response signals[J]. IEEE Transactions on Power Systems, 1990, 5(1): 80-89. [121] Zaborszky J, Subramanian A, Tzyh-Jong Tarn, et al. A new state space for emergency control in the interconnected power system[J]. IEEE Transactions on Automatic Control, 1977, 22(4): 505-517. [122] 陈树恒, 李兴源, 武凌云, 等. 基于降阶模型辨识的交直流混合输电系统广域阻尼控制[J]. 电网技术, 2007, 31(17): 36-40, 55. Chen Shuheng, Li Xingyuan, Wu Lingyun, et al. Wide-area damp control for AC/DC hybrid transmission systems based on identification of reduced order model[J]. Power System Technology, 2007, 31(17): 36-40, 55. [123] 陆超, 金小明, 李鹏, 等. 基于MIMO辨识的复杂系统多控制器最优设计[J]. 电力自动化设备, 2009, 29(3): 115-118, 137. Lu Chao, Jin Xiaoming, Li Peng, et al. Optimal design of multiple controllers based on MIMO identification for large scale power system[J]. Electric Power Automation Equipment, 2009, 29(3): 115-118, 137. [124] He J, Lu C, Wu X, Li P, Wu J. Design and experiment of wide area HVDC supplementary damping controller considering time delay in china southern power grid[J]. IET Generation, Transmission and Distribution, 2009, 3(1): 17-25. [125] 颜泉, 李兴源, 王路, 等. 基于PMU的多馈入交直流系统的分散协调控制[J]. 电力系统自动化, 2004, 28(20): 26-30. Yan Quan, Li Xingyuan, Wang Lu, et al. Decentralized coordinating control of multi-infeed AC/DC power system based on PMU[J]. Automation of Electric Power Systems, 2004, 28(20): 26-30. [126] 饶宏, 李兴源, 洪潮, 等. 基于最优变目标策略的交直流系统分层协调控制[J]. 南方电网技术, 2007, 1(1): 20-36. Rao Hong, Li Xingyuan, Hong Chao, et al. Hierarchical cooperative control for AC/DC power systems based on optimal-variable-aim strategy[J]. Southern Power System Technology, 2007, 1(1): 20-36. [127] Yang Weidong, Xu Zheng, Han Zhenxiang. Co-ordinated hierarchical control strategy for multi-infeed HVDC systems[J]. IEE Proceedings- Generation, Transmission and Distribution, 2002, 149(2): 242-248. [128] 颜泉. 交直流混合互联电力系统的分散协调控制 [D]. 成都: 四川大学, 2006. [129] 颜泉, 李兴源, 刘红超, 等. 多馈入交直流系统关联测量分散协调控制[J]. 电工技术学报, 2004, 19(12): 42-46, 52. Yan Quan, Li Xingyuan, Liu Hongchao, et al. Decentralized coordinated control of multi-infeed HVDC based on correlative measured vectors[J]. Transactions of China Electrotechnical Society, 2004, 19(12): 42-46, 52. [130] Denis Lee Hau Aik, Andersson G. Impact of dynamic system modelling on the power stability of HVDC systems[J]. IEEE Transactions on Power Delivery, 1999, 14(4): 1427-1437. [131] Denis Lee Hau Aik, Andersson G. Influence of load characteristics on the power/voltage stability of HVDC systems, part 1: basic equations and relationships[J]. IEEE Transactions on Power Delivery, 1998, 13(4): 1437-1444. [132] Denis Lee Hau Aik, Andersson G. Influence of load characteristics on the power/voltage stability of HVDC systems, part 2: stability margin sensitivity[J]. IEEE Transactions on Power Delivery, 1998, 13(4): 1445-1452. [133] 李兴源, 王贵德, 刘俊勇. 稳定控制研究中的多机电力系统数学模型[J]. 电力系统自动化, 1994, 18(5): 20-25. Li Xingyuan, Wang Guide, Liu Junyong. Models of multimachine power systems for stability and control studies[J]. Automation of Electric Power Systems, 1994, 18(5): 20-25. [134] Denis Lee Hau Aik, G Andersson. Quasi-static stability of HVDC systems considering dynamic effects of synchronous machines and excitation voltage control[J]. IEEE Transactions on Power Delivery, 2006, 21(3): 1501-1514. [135] Yacamini R. How HVDC schemes can excite torsional oscillations in turbo-alternator shafts[J]. IEE Proceedings C—Generation, Transmission and Distribution, 1986, 133(6): 301-307. [136] Rostamkolai N, Piwko R J, Larsen E V, et al. Subsynchronous torsional interactions with static var compensators-influence of HVDC[J]. IEEE Transactions on Power Systems, 1991, 6(1): 255-261. [137] Wu C T, Peterson K J, Piwko R J, et al. The intermountain power project commissioning- subsynchromous torsional interaction test[J]. IEEE Transactions on Power Delivery, 1988, 3(4): 2030-2036. [138] Matsumoto T, Nobayashi M, Yamaji K, et al. HVDC rectifier control coordinated with generator station in radial operation[J]. IEEE Transactions on Power Systems, 1997, 12(2): 851-857. [139] Grund C E, Pohl R V, Reeve J. Control design of an active and reactive power HVDC modulation system with kalman filtering[J]. IEEE Transactions on Power Apparatus and Systems, 1982, 101(10): 4100-4111. [140] Nayak Omprakash B, Golé Aniruddha M, Chapman Doug G, et al. Dynamic performance of static and synchronous compensators at an HVDC inverter bus in a very weak AC system[J]. IEEE Transactions on Power Systems, 1994, 9(3): 1350-1358. [141] 李鹏, 吴小辰, 张尧, 等. 南方电网多直流调制控制的交互影响与协调[J]. 电力系统自动化, 2007, 31(21): 90-93. Li Peng, Wu Xiaochen, Zhang Yao, et al. Interaction and coordination of modulation controllers of multi-infeed HVDC in CSG[J]. Automation of Electric Power Systems, 2007, 31(21): 90-93.