Abstract:So far, few studies have been taken on power system damping control based on wide area measurement system with multiple time delay considered. Besides, robust control theory, as the main control solution of multiple time delay systems, is complicated in searching ideal parameters. In the light of this, a novel design strategy for wide area power system damping control with multiple time delay considered is proposed, and thus the parameters can be solved directly in a convenient and simple way. Lyapunov-Krasovskii theory is used to deduce the multiple time delay system stability criterion. Instead of the complicated iterative process by using intelligent algorithm, control parameters can be easily achieved by transforming control stabilization into linear matrix inequalities (LMI). The results of time domain simulation in 2-area 4-machine system indicate that the proposed control scheme can suppress the inter-area low frequency oscillation and improve power system stability.
马燕峰, 张佳怡, 蒋云涛, 赵书强. 计及广域信号多时滞影响的电力系统附加鲁棒阻尼控制[J]. 电工技术学报, 2017, 32(6): 58-66.
Ma Yanfeng, Zhang Jiayi, Jiang Yuntao, Zhao Shuqiang. Additional Robust Damping Control of Wide-Area Power System with Multiple Time Delays Considered. Transactions of China Electrotechnical Society, 2017, 32(6): 58-66.
[1] 朱方, 赵红光, 刘增煌, 等. 大区电网互联对电力系统动态稳定性的影响[J]. 中国电机工程学报, 2007, 27(1): 1-7. Zhu Fang, Zhao Hongguang, Liu Zenghuang, et al. The influence of large power grid interconnected on power system dynamic stability[J]. Proceedings of the CSEE, 2007, 27(1): 1-7. [2] 刘志雄, 孙元章, 黎雄, 等. 广域电力系统稳定器阻尼控制系统综述及工程应用展望[J]. 电力系统自动化, 2014, 38(9): 152-159. Liu Zhixiong, Sun Yuanzhang, Li Xiong, et al. Review of wide area PSS control system and its engineering application[J]. Automation of Electric Power Systems, 2014, 38(9): 152-159. [3] 姚伟, 文劲宇, 程时杰, 等. 考虑时滞影响的SVC广域附加阻尼控制器设计[J]. 电工技术学报, 2012, 27(3): 239-246. Yao Wei, Wen Jinyu, Cheng Shijie, et al. Design of wide-area supplementary damping controller of SVC considering time delays[J]. Transactions of China Electrotechnical Society, 2012, 27(3): 239-246. [4] Yao W, Jiang L, Wu Q H, et al. Delay-dependent stability analysis of the power system with a widearea damping controller embedded[J]. IEEE Transactions on Power Systems, 2011, 26(1): 233-240. [5] Wang S, Meng X, Chen T. Wide-area control of power systems through delayed network communi- cation[J]. IEEE Transactions on Control Systems Technology, 2012, 20(2): 95-103. [6] 张子泳, 胡志坚, 刘宇凯. 计及广域信号时变时滞影响的大型双馈风力发电系统附加鲁棒阻尼控制[J]. 电工技术学报, 2014, 29(4): 246-255. Zhang Ziyong, Hu Zhijian, Liu Yukai. Additional robust damping control of large scale DFIG-based wind power generation system with wide-area signals’ time-varying delay influence[J]. Transactions of China Electrotechnical Society, 2014, 29(4): 246-255. [7] 蔡超豪. 存在时滞影响的发电机励磁的 H ∞ 控制[J]. 电力系统保护与控制, 2009, 37(8): 5-9. Cai Chaohao. H ∞ control of generator excitation with time-delay[J]. Power System Protection and Control, 2009, 37(8): 5-9. [8] 安海云, 贾宏杰, 余晓丹. 基于LMI理论的时滞电力系统无记忆状态反馈控制器设计[J]. 电力系统自动化, 2010, 34(19): 6-10. An Haiyun, Jia Hongjie, Yu Xiaodan. Design of memoryless state feedback controller for time-delay power system based on LMI theory[J]. Automation of Electric Power Systems, 2010, 34(19): 6-10. [9] 张子泳, 胡志坚, 胡梦月, 等. 含风电的互联电力系统时滞相关稳定性分析与鲁棒阻尼控制[J]. 中国电机工程学报, 2012, 32(34): 8-16. Zhang Ziyong, Hu Zhijian, Hu Mengyue, et al. Delay-dependent stability analysis and robust damping control of power system with wind power integration[J]. Proceedings of the CSEE, 2012, 32(34): 8-16. [10] 戚军, 江全元, 曹一家. 采用时滞广域测量信号的区间低频振荡阻尼控制器设计[J]. 电工技术学报, 2009, 24(6): 154-159. Qi Jun, Jiang Quanyuan, Cao Yijia. Design of damping controller for inter-area low-frequency oscillation using time-delay wide-area measure- ments[J]. Transactions of China Electrotechnical Society, 2009, 24(6): 154-159. [11] 罗珂, 吕红丽, 霍春岭, 等. 基于LMI的时滞电力系统双层广域阻尼控制[J]. 电力系统保护与控制, 2013, 41(24): 16-22. Luo Ke, Lü Hongli, Huo Chunling, et al. Two layer inter-area damping control of power systems con- sidering time-delay based on LMI[J]. Power System Protection and Control, 2013, 41(24): 16-22. [12] 李岩, 胡志坚, 刘宇凯, 等. 基于多目标优化的时滞广域阻尼控制器设计[J]. 电力系统保护与控制, 2015, 43(8): 94-101. Li Yan, Hu Zhijian, Liu Yukai, et al. Design of multi- objective optimization based time delay wide area damping controller[J]. Power System Protection and Control, 2015, 43(8): 94-101. [13] 李婷, 吴敏, 何勇. 计及广域测量系统时滞影响的灵活交流输电系统阻尼控制器多目标设计[J]. 电工技术学报, 2014, 29(8): 227-234. Li Ting, Wu Min, He Yong. Multi-objective design of facts damping controller based on wams with signal transmission delay[J]. Transactions of China Electro- technical Society, 2014, 29(8): 227-234. [14] 刘志雄, 黎雄, 孙元章, 等. 广域PSS闭环控制工程中可变时滞及其处理[J]. 电力系统自动化, 2013, 37(10): 54-59. Liu Zhixiong, Li Xiong, Sun Yuanzhang, et al. Variable delay and its treatment in wide-area PSS closed-up control engineering[J]. Automation of Electric Power Systems, 2013, 37(10): 54-59. [15] 刘运花, 黎雄, 刘志雄, 等. 基于灰色预测的广域电力系统稳定器分布延时补偿设计[J]. 电力系统自动化, 2015, 39(12): 44-49. Liu Yunhua, Li Xiong, Liu Zhixiong, et al. A compensation design for wide-area power system stabilizer distributed delay based on gray predi- ction[J]. Automation of Electric Power Systems, 2015, 39(12): 44-49. [16] 陈刚, 程林, 张放, 等. WPSS输入反馈时延的自适应分段补偿设计[J]. 电力系统自动化, 2013, 37(14): 25-31. Chen Gang, Cheng Lin, Zhang Fang, et al. An adaptive interval time delay compensation method for WPSS feedback signal delay[J]. Automation of Electric Power Systems, 2013, 37(14): 25-31. [17] 陈刚, 张华, 程林, 等. 改进的WPSS分段时延补偿方法[J]. 电力自动化设备, 2014, 34(12): 76-82. Chen Gang, Zhang Hua, Cheng Lin, et al. Improved interval time-delay compensation method for WPSS[J]. Electric Power Automation Equipment, 2014, 34(12): 76-82. [18] 姚伟, 文劲宇, 孙海顺, 等. 考虑通信延迟的网络化预测广域阻尼控制[J]. 电工技术学报, 2012, 27(12): 248-255. Yao Wei, Wen Jinyu, Sun Haishun, et al. Networked predictive wide-area damping control considering communication delays[J]. Transactions of China Electrotechnical Society, 2012, 27(12): 248-255. [19] He Y, Wu M, She J. Delay-dependent stability criteria for linear systems with multiple time delays[J]. IEE Proceedings-Control Theory and Applications, 2006, 153(4): 447-452. [20] Fridman E, Shaked U. An improved stabilization method for linear time-delay systems[J]. IEEE Transactions on Automatic Control, 2002, 47(11): 1931-1937. [21] Sun Qiang, An Haiyun, Jia Hongjie, et al. An improved power system stability criterion with multiple time delays[C]//IEEE Power and Energy Society General Meeting-PESGM, 2009: 786-792. [22] Jiang Yilang, Jiang Tao, Jia Hongjie, et al. A novel LMI criterion for power system stability with multiple time-delays[J]. Science China Technological Sciences, 2014, 57(7): 1392-1400. [23] 王绍部, 江全元, 刘兆燕, 等. 计及反馈信号多时滞特性的广域阻尼控制[J]. 电力系统自动化, 2008, 32(10): 18-22. Wang Shaobu, Jiang Quanyuan, Liu Zhaoyan, et al. Wide-area damping control considering multiple delays of feedback signals[J]. Automation of Electric Power Systems, 2008, 32(10): 18-22. [24] 古丽扎提. 海拉提, 王杰. 多时滞广域测量电力系统稳定分析与协调控制器设计[J]. 电工技术学报, 2014, 29(2): 279-289. Guli Zhati. Hailati, Wang Jie. Multiple time delays analysis and coordinated stability control for power system wide area measurement[J]. Transactions of China Electrotechnical Society, 2014, 29(2): 279-289. [25] Li J, Chen Z, Cai D, et al. Delay-dependent stability control for power system with multiple time-delays[J]. IEEE Transactions on Power Systems, 2015, 31(3): 1-11. [26] Zhang X, Li F, Wang X, et al. Further results on delay-dependent robust stabilization for uncertain singular linear systems with multiple input delays[C]// Proceedings of the Chinese Control and Decision Conference (CCDC), 2011: 338-343. [27] Kundur P. Power system stability and control[M]. New York: McGraw Hill, 1994. [28] 张放, 程林, 黎雄, 等. 广域闭环控制系统时延的测量及建模(二): 闭环时延[J]. 中国电机工程学报, 2015, 35(23): 5995-6002. Zhang Fang, Cheng Lin, Li Xiong, et al. Delay measurement and modeling in a wide-area closed- loop control system, part II: closed-loop delay[J]. Proceedings of the CSEE, 2015, 35(23): 5995-6002.