基于继电特性函数的互联电力系统混沌控制

闵富红; 马美玲; 翟炜; 王恩荣

doi:10.7498/aps.63.050504

摘要

电力系统中的混沌振荡对整个互联电网具有极大危害. 本文利用Lyapunov指数、分岔图、相平面图和功率谱等分析一个简单互联电力系统的动力学行为，研究电力系统对电磁功率扰动幅值的敏感性. 同时，提出一种基于继电特性函数的准滑动模态控制方法，对系统进行混沌振荡抑制，使系统快速平滑地到达控制目标. 实验表明，该方法不仅能够缩短控制时间，减少因参数过大带来的系统冲击，而且对高频抖动也有很好的抑制作用，具有较强的鲁棒性.

关键词:

Abstract

Chaotic oscillation in a power system is very harmful for the large-scale interconnected power grid. Here, the basic dynamic properties of the interconnected power system are investigated under the disturbance of electromagnetic power through the Lyapunov exponent spectrum, bifurcation diagram, phase plane, and power spectrum. The sensitivity to the disturbance of electromagnetic power is also studied. Meanwhile, from the sliding mode variable structure control and relay characteristic function, a new method to control the chaotic oscillation is presented, which can quickly and smoothly make the system reach the expected target. Simulation results show that the method can not only shorten the control time, but also reduce the possibility of the impulse response from the system, due to the large parameters. It can inhibit the high-frequency buffeting effectively and has strong robustness.

Keywords:

interconnected power system /
sliding mode variable structure control /
relay characteristic function

作者及机构信息

1.
南京师范大学电气与自动化工程学院, 南京 210042;

2.
国网电力科学研究院, 南京 210003

基金项目: 国家自然科学基金（批准号：51075275）、江苏省自然科学基金（批准号：BK20131402）、教育部留学回国人员科研启动基金（批准号：教外司[2012]1707号）、江苏省六大人才高峰资助课题和江苏省普通高校研究生科研创新计划项目（批准号：CXLX133_91）资助的课题.

Authors and contacts

1.
School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China;

2.
State Grid Electric Power Research Institute, Nanjing 210003, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51075275), the Natural Science Foundation of Jiangsu Province of China (Grant No. Bk20131402), the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry of China (Grant No. [2012]1707), the Six Categories of Summit Talents of Jiangsu Province of China, and Research, Innovation Project for College Graduates of Jiangsu Province, China (Grant No. CXLX133_91).

参考文献

[1]	Lu Q, Sun Y Z 1993 Power system nonlinear control (Beijing: Science Press) p17 (in Chinese) [卢强, 孙元章 1993 电力系统非线性控制(北京:科学出版社)第17页]
[2]	Yuan L, Shen J Q, Xiao F, Chen M L 2013 Acta Phys. Sin. 62 030501 (in Chinese) [袁雷, 沈建清, 肖飞, 陈明亮 2013 物理学报 62 030501]
[3]	Huerta H, Loukianov A G, Canedo J M 2011 Electr.Power Syst. Res. 81 1602
[4]	Cid-Pastorn A, Martinez-Salamero L, ElAroudi A, Giral R, Calvente J, Leyva R 2013 Control Eng. Pract. 21 689
[5]	Yang G L, Li H G 2009 Acta Phys. Sin. 58 7552 (in Chinese) [杨国良, 李惠光 2009 物理学报 58 7552]
[6]	Zhu F, Zhao H G, Liu Z H, Kou H Z 2007 Proc. the CSEE 27 1 (in Chinese) [朱方, 赵红光, 刘增煌, 寇慧珍 2007 中国电机工程学报 27 1]
[7]	Qin Y H, Luo X S, Wei D Q 2010 Chin. Phys. B 19 050511
[8]	Xue Y S, Zhou H Q, Gun X R 2002 Automt. Electr. Power Syst. 26 9 (in Chinese) [薛禹胜, 周海强, 顾晓荣 2002 电子系统自动化 26 9]
[9]	Lal D K, Swark K S 2011 Appl. Soft Comput. 11 103
[10]	Jia H J, Yu Y X, Li P 2002 Proc. the CSEE 22 6 (in Chinese) [贾宏杰, 余贻鑫, 李鹏 2002 中国电机工程学报 22 6]
[11]	Shao M Z, Luo S Y 2011 J. Dongguan U. Technol. 18 51 (in Chinese) [邵明珠, 罗诗裕 2011 东莞理工学院学报 18 51]
[12]	Benahdouga S, Boukhetala D, Boudjema F 2012 Electr. Power Syst. Res. 43 1081
[13]	Liu J K 2005 Matlab simulation for sliding mode control (Beijing: Tsinghua University Press) p60 (in Chinese) [刘金琨 2005 滑模变结构控制MATLAB仿真(北京:清华大学出版社)第60 页]
[14]	Meng Z, Fu L Y, Song M H 2013 Acta Phys. Sin. 62 054501 (in Chinese) [孟宗, 付立元, 宋明厚 2013 物理学报 62 054501]
[15]	Zhao W J, Liu J Z 2005 J. Syst. Sim. 17 156 (in Chinese) [赵文杰, 刘吉臻 2005 系统仿真学报 17 156]
[16]	Zong T Y, Wei L, Shen J K 2013 J. Mianyang Norm. U. 32 39 (in Chinese) [宗天元, 魏隆, 申家锴 2013 绵阳师范学院学报 32 3]
[17]	Liu M J, Piao Z L, Wu X H 2009 Electr. Power Autom. Equip. 29 85 (in Chinese) [刘美菊, 朴在林, 吴秀华 2009 电力自动化设备 29 85]
[18]	Dong S Y, Bao H, Wei Z 2010 Proc. the CSEE 30 58 (in Chinese) [董世勇, 鲍海, 魏哲 2010 中国电机工程学报 30 58]
[19]	Xu Y Q, Mao J S, Liu J F, Jia F, Shen S Q 2012 Electr. Meas. Instrum. 49 27 (in Chinese) [许燕青, 毛家松, 刘建峰, 贾锋, 沈胜强 2012 电测与仪表 49 27]
[20]	Ouassaida M, Maaroufib M, Cherkaouib M 2012 Electr. Power Syst. Res. 84 135

施引文献

[1]	Lu Q, Sun Y Z 1993 Power system nonlinear control (Beijing: Science Press) p17 (in Chinese) [卢强, 孙元章 1993 电力系统非线性控制(北京:科学出版社)第17页]
[2]	Yuan L, Shen J Q, Xiao F, Chen M L 2013 Acta Phys. Sin. 62 030501 (in Chinese) [袁雷, 沈建清, 肖飞, 陈明亮 2013 物理学报 62 030501]
[3]	Huerta H, Loukianov A G, Canedo J M 2011 Electr.Power Syst. Res. 81 1602
[4]	Cid-Pastorn A, Martinez-Salamero L, ElAroudi A, Giral R, Calvente J, Leyva R 2013 Control Eng. Pract. 21 689
[5]	Yang G L, Li H G 2009 Acta Phys. Sin. 58 7552 (in Chinese) [杨国良, 李惠光 2009 物理学报 58 7552]
[6]	Zhu F, Zhao H G, Liu Z H, Kou H Z 2007 Proc. the CSEE 27 1 (in Chinese) [朱方, 赵红光, 刘增煌, 寇慧珍 2007 中国电机工程学报 27 1]
[7]	Qin Y H, Luo X S, Wei D Q 2010 Chin. Phys. B 19 050511
[8]	Xue Y S, Zhou H Q, Gun X R 2002 Automt. Electr. Power Syst. 26 9 (in Chinese) [薛禹胜, 周海强, 顾晓荣 2002 电子系统自动化 26 9]
[9]	Lal D K, Swark K S 2011 Appl. Soft Comput. 11 103
[10]	Jia H J, Yu Y X, Li P 2002 Proc. the CSEE 22 6 (in Chinese) [贾宏杰, 余贻鑫, 李鹏 2002 中国电机工程学报 22 6]
[11]	Shao M Z, Luo S Y 2011 J. Dongguan U. Technol. 18 51 (in Chinese) [邵明珠, 罗诗裕 2011 东莞理工学院学报 18 51]
[12]	Benahdouga S, Boukhetala D, Boudjema F 2012 Electr. Power Syst. Res. 43 1081
[13]	Liu J K 2005 Matlab simulation for sliding mode control (Beijing: Tsinghua University Press) p60 (in Chinese) [刘金琨 2005 滑模变结构控制MATLAB仿真(北京:清华大学出版社)第60 页]
[14]	Meng Z, Fu L Y, Song M H 2013 Acta Phys. Sin. 62 054501 (in Chinese) [孟宗, 付立元, 宋明厚 2013 物理学报 62 054501]
[15]	Zhao W J, Liu J Z 2005 J. Syst. Sim. 17 156 (in Chinese) [赵文杰, 刘吉臻 2005 系统仿真学报 17 156]
[16]	Zong T Y, Wei L, Shen J K 2013 J. Mianyang Norm. U. 32 39 (in Chinese) [宗天元, 魏隆, 申家锴 2013 绵阳师范学院学报 32 3]
[17]	Liu M J, Piao Z L, Wu X H 2009 Electr. Power Autom. Equip. 29 85 (in Chinese) [刘美菊, 朴在林, 吴秀华 2009 电力自动化设备 29 85]
[18]	Dong S Y, Bao H, Wei Z 2010 Proc. the CSEE 30 58 (in Chinese) [董世勇, 鲍海, 魏哲 2010 中国电机工程学报 30 58]
[19]	Xu Y Q, Mao J S, Liu J F, Jia F, Shen S Q 2012 Electr. Meas. Instrum. 49 27 (in Chinese) [许燕青, 毛家松, 刘建峰, 贾锋, 沈胜强 2012 电测与仪表 49 27]
[20]	Ouassaida M, Maaroufib M, Cherkaouib M 2012 Electr. Power Syst. Res. 84 135

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