基于鲁棒反演滑模法的电力系统混沌控制
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摘要
在某些条件下,电力系统将会产生混沌振荡,从而影响互联电网的稳定性,造成严重的安全事故。文中通过对简单互联电力系统的时序图、相图及最大李雅普诺夫指数图进行分析,肯定了其存在的混沌现象。同时设计了一种鲁棒反演滑模法对系统的混沌振荡进行抑制,使其能够迅速地收敛于目标。仿真结果进一步证明该方法能够有效性,对保障电力系统运行的稳定性具有良好价值。
In some parameters,power system would appear the chaos phenomena,which is hazardous to its stable operation and lead to serious safety accident. Hereby,the chaotic features of the simple interconnected power system are analyzed through the maximum Lyapunov index figure,the time sequence diagram and phase diagram. Then,we design the robust back-stepping sliding method to control the chaos of power system which can quickly make the system reach the expected target. The efficiency of this method is further demonstrated by the simulation results,and it is of great value to guarantee the stability of power system operation.
In some parameters,power system would appear the chaos phenomena,which is hazardous to its stable operation and lead to serious safety accident. Hereby,the chaotic features of the simple interconnected power system are analyzed through the maximum Lyapunov index figure,the time sequence diagram and phase diagram. Then,we design the robust back-stepping sliding method to control the chaos of power system which can quickly make the system reach the expected target. The efficiency of this method is further demonstrated by the simulation results,and it is of great value to guarantee the stability of power system operation.
引文
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[10]张强.电力系统非线性振荡研究[J].电力自动化设备,2002,22(5):17-19.Zhang Qiang.Study on nonlinear oscillations of electric power system[J].Electric Power Automation Equipment,2002,22(5):17-19.
[2]林伟芳,汤涌,孙华东,等.巴西“2.4”大停电事故及对电网安全稳定运行的启示[J].电力系统自动化,2011,35(9):1-5.Lin Weifang,Tang Yong,Sun Huadong,et al.Blackout in Brazil power grid on February 4,2011 and inspirations for stable operation of power grid[J].Automation of Electric Power Systems,2011,35(9):1-5.
[3]贾宏杰,余贻鑫,王成山.电力系统混沌现象及相关研究[J].中国电机工程学报,2001,21(7):26-30.Jia Hongjie,Yu Yixin,Wang Chenshan.Chaotic phenomena in power systems and its studies[J].Proceedings of CSEE,2001,21(7):26-30.
[4]Pecora L M,Carroll T L.Synchronization in chaotic system[J].Phys,Rev,Lett,1990,64(8):821-824.
[5]李文磊.不确定混沌电力系统的鲁棒自适应跟踪控制[J].电机控制学报,2007,11(2):170-173.Li Wenlei.Robust adapative control of chaoic power systen with uncertainty[J].Electric Machines and Control,2007,11(2):170-173.
[6]任海鹏,刘丁,李洁.永磁同步电动机中混沌运动的延迟反馈控制[J].中国电机工程学报,2003,23(6):175-178.Ren Haipeng,Lliu Ding,Li Jie.Delay feedback control of chaos in permanent magnet synchronous motor[J].Proceedings of CSEE,2003,23(6):175-178.
[7]王忠勇,蔡远利,贾冬,等.混沌系统的神经网络控制[J].控制与决策,2000,25(1):55-58.Wang Zhongyong,Cai Yuanli,Jia Dong,et al.Neural network control of chaotic systems[J].Control and Decision,2000,25(1):55-58.
[8]李东,张小洪,杨丹,等.参数不确定永磁同步电机混沌的模糊控制[J].物理学报,2009,58(3):1432-1440.Li Dong,Zhang Xiaohong,Yang Dan,et al.Fuzzy control of chaos in permanent magent synchronous motor with parameter uncertainties[J].Acta Physica Sinica,2009,58(3):1432-1440.
[9]刘美菊,朴在林,吴秀华.同步发电机混沌振荡的模糊滑模变结构控制[J].电力自动化设备,2009,29(7):85-88.Liu Meiju,Piao Zailin,Wu Xiuhua.Fuzzy sliding mode variable structure control for chaos oscillation of synchronous generator[J].Electric Power Automation Equipment,2009,29(7):85-88.
[10]张强.电力系统非线性振荡研究[J].电力自动化设备,2002,22(5):17-19.Zhang Qiang.Study on nonlinear oscillations of electric power system[J].Electric Power Automation Equipment,2002,22(5):17-19.