Fuzzy fast terminal sliding mode controller using an equivalent control for chaotic oscillation in power system

Ni Jun-Kang; Liu Chong-Xin; Pang Xia

doi:10.7498/aps.62.190507

Abstract

Chaotic oscillation in a power system is taken to be the main cause for power blackouts in large-scale interconnected power grid. This paper studies a 2-D power system with chaotic oscillation dynamic behaviors through parameter phase portraits, Lyapunov exponents, time-domain waveform graph and proposes fuzzy fast terminal sliding mode controller based on equivalent control to stabilize the power system to synchronization status. Simulation results show that our control scheme can not only speed up convergence rate, but also have smooth control action, reduce control energy and suppress chattering phenomenon effectively.

Keywords:

Authors and contacts

1.
State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an 710049, China; School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51177117), the Creative Research Groups Fund of the National Natural Science Foundation of China (Grant No. 51221005), and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100201110023).

References

[1]	Xue Y S 2003 Autom. Electr. Power Syst. 27 1 (in Chinese) [薛禹胜 2003 电力系统自动化 27 1]
[2]	Zhang W J,Yin Q Y 1997 Power Syst. Technol. 21 54 (in Chinese) [张皖军, 尹其云 1997 电网技术 21 54]
[3]	Lin W F, Sun H D, Tang Y, Bo G Q, Yin Y H 2010 Autom. Electr. Power Syst. 34 1 (in Chinese) [林伟芳, 孙华东, 汤涌, 卜广全, 印永华 2010 电力系统自动化 34 1]
[4]	Mansour Y 1990 Voltage Stability of Power Systems: Concepts, Analytical Tools, and Industry Experience (1st edn.) (New York: IEEE Press) p34
[5]	Lal D K, Swarup K S 2011 Appl. Soft. Comput. 11 103
[6]	Jia H J, Yu Y X, Li P, Su J F 2003 Proc the CSEE 23 1 (in Chinese) [贾宏杰, 余贻鑫, 李鹏, 宿吉峰 2003 中国电机工程学报 23 1]
[7]	Jia H J, Yu Y X, Zhang P, Yu X D, Huang C H 2004 Canadian Conference on Electrical and Computer Engineering Montreal, Canada, May 2–5, 2004 p79
[8]	Yang X S, Li Q D, Cheng S J 2009 Appl. Math. Comput. 211 467
[9]	Yu Y X, Jia H J, Li P, Su J F 2003 Electr. Power Syst. Res. 65 187
[10]	Wei D Q, Luo X S, Qin Y H 2010 International Conference on Electrical and Control Engineering (ICECE) Wuhan, China, June 25–27, 2010 p2185
[11]	Qin Y H, Luo X S, Wei D Q 2010 Chin. Phys. B 19 050511
[12]	Jia H J, Yu Y X, Zhang P, Yu X D, Huang C H 2004 Canadian Conference on Electrical and Computer Engineering Montreal, Canada, May 2–5, 2004 p73
[13]	Chiang H D, Liu C W, Varaiya P P, Wu F F, Lauby M G 1993 IEEE Trans. Power Syst. 8 1407
[14]	Wang B H, Yang C W, Zhang Q 2005 Trans. China Electrotech. Soc. 20 1 (in Chinese)[王宝华, 杨成梧, 张强 2005 电工技术学报 20 1]
[15]	Chen X W, Zhang W N, Zhang W D 2005 IEEE Trans. Circuits Syst. 52 811
[16]	Song Y Z, Zhao G Z, Qi D L 2006 Proc. Chin. Soc. Univ. Electr. Power Syst. Autom. 18 5 (in Chinese) [宋运忠, 赵光宙, 齐冬莲 2006 电力系统及其自动化学报 18 5]
[17]	Wang B H, Zhang Q, Su R X 2002 J. Nanjing. Inst. Technol. 2 8 (in Chinese) [王宝华, 张强, 苏荣兴 2002 南京工程学院学报 2 8]
[18]	Tan W, Li Z P, Zhang M 2010 J. Hunan. Uni. Sci. Eng. 25 59 (in Chinese) [谭文, 李志攀, 张敏 2010 湖南科技大学学报 25 59]
[19]	Wei D Q, Qin Y H 2011 Fourth International Workshop on Chaos-Fractals Theories and Applications (IWCFTA) Hangzhou, China, October 19–22, 2011 p295
[20]	Ginarsa I M, Soeprijanto A, Purnomo M H 2013 Int. J. Electr. Power Energy Syst. 46 79
[21]	Wei D Q, Luo X S 2007 Chin. Phys. 16 3244
[22]	Wang B H, Zhang Q, Yang C W, Yang W 2003 Electr. Power Autom. Equip 23 9 (in Chinese) [王宝华, 张强, 杨成梧, 杨伟 2003 电力自动化设备 23 9]
[23]	Zhu Z Y, Liu W T, Cai L Y 2009 Ship Eng. 31 36 (in Chinese) [朱志宇, 刘韦亭, 蔡立勇 2009 船舶工程 31 36]
[24]	Chang Y C 2010 Sci. Technol. Eng. 10 6194 (in Chinese) [常艳超 2010 科学技术与工程 10 6194]
[25]	Zhao H, Ma Y J, Liu S J, Gao S G, Zhong D 2011 Chin. Phys. B 20 120501
[26]	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]
[27]	Chung C Y, Lin C L 1999 IEEE Trans. Aut. Control 44 563
[28]	Yau H T 2008 Mech. Syst. Signal Process 22 408
[29]	Guo H J, Liu J H 2004 Acta Phys. Sin. 53 4080 (in Chinese) [郭会军, 刘君华 2004 物理学报 53 4080]
[30]	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]
[31]	Hossin G, Amir H, Azita A 2013 Chin. Phys. B 22 010503
[32]	Park K B, Tsuji T 1999 Int. J. Robust Nonlinear Control 9 769
[33]	Liu J K 2005 Matlab Simulation for Sliding Mode Control (Beijing: Tsinghua University Press) p362 (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362页]
[34]	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]
[35]	Yuan L, Wu H S, Tu J J 2010 Electr. Power Autom. Equip 30 82 (in Chinese) [袁雷, 吴汉松, 涂建军 2010 电力自动化设备 30 82]

Cited By

[1]	Xue Y S 2003 Autom. Electr. Power Syst. 27 1 (in Chinese) [薛禹胜 2003 电力系统自动化 27 1]
[2]	Zhang W J,Yin Q Y 1997 Power Syst. Technol. 21 54 (in Chinese) [张皖军, 尹其云 1997 电网技术 21 54]
[3]	Lin W F, Sun H D, Tang Y, Bo G Q, Yin Y H 2010 Autom. Electr. Power Syst. 34 1 (in Chinese) [林伟芳, 孙华东, 汤涌, 卜广全, 印永华 2010 电力系统自动化 34 1]
[4]	Mansour Y 1990 Voltage Stability of Power Systems: Concepts, Analytical Tools, and Industry Experience (1st edn.) (New York: IEEE Press) p34
[5]	Lal D K, Swarup K S 2011 Appl. Soft. Comput. 11 103
[6]	Jia H J, Yu Y X, Li P, Su J F 2003 Proc the CSEE 23 1 (in Chinese) [贾宏杰, 余贻鑫, 李鹏, 宿吉峰 2003 中国电机工程学报 23 1]
[7]	Jia H J, Yu Y X, Zhang P, Yu X D, Huang C H 2004 Canadian Conference on Electrical and Computer Engineering Montreal, Canada, May 2–5, 2004 p79
[8]	Yang X S, Li Q D, Cheng S J 2009 Appl. Math. Comput. 211 467
[9]	Yu Y X, Jia H J, Li P, Su J F 2003 Electr. Power Syst. Res. 65 187
[10]	Wei D Q, Luo X S, Qin Y H 2010 International Conference on Electrical and Control Engineering (ICECE) Wuhan, China, June 25–27, 2010 p2185
[11]	Qin Y H, Luo X S, Wei D Q 2010 Chin. Phys. B 19 050511
[12]	Jia H J, Yu Y X, Zhang P, Yu X D, Huang C H 2004 Canadian Conference on Electrical and Computer Engineering Montreal, Canada, May 2–5, 2004 p73
[13]	Chiang H D, Liu C W, Varaiya P P, Wu F F, Lauby M G 1993 IEEE Trans. Power Syst. 8 1407
[14]	Wang B H, Yang C W, Zhang Q 2005 Trans. China Electrotech. Soc. 20 1 (in Chinese)[王宝华, 杨成梧, 张强 2005 电工技术学报 20 1]
[15]	Chen X W, Zhang W N, Zhang W D 2005 IEEE Trans. Circuits Syst. 52 811
[16]	Song Y Z, Zhao G Z, Qi D L 2006 Proc. Chin. Soc. Univ. Electr. Power Syst. Autom. 18 5 (in Chinese) [宋运忠, 赵光宙, 齐冬莲 2006 电力系统及其自动化学报 18 5]
[17]	Wang B H, Zhang Q, Su R X 2002 J. Nanjing. Inst. Technol. 2 8 (in Chinese) [王宝华, 张强, 苏荣兴 2002 南京工程学院学报 2 8]
[18]	Tan W, Li Z P, Zhang M 2010 J. Hunan. Uni. Sci. Eng. 25 59 (in Chinese) [谭文, 李志攀, 张敏 2010 湖南科技大学学报 25 59]
[19]	Wei D Q, Qin Y H 2011 Fourth International Workshop on Chaos-Fractals Theories and Applications (IWCFTA) Hangzhou, China, October 19–22, 2011 p295
[20]	Ginarsa I M, Soeprijanto A, Purnomo M H 2013 Int. J. Electr. Power Energy Syst. 46 79
[21]	Wei D Q, Luo X S 2007 Chin. Phys. 16 3244
[22]	Wang B H, Zhang Q, Yang C W, Yang W 2003 Electr. Power Autom. Equip 23 9 (in Chinese) [王宝华, 张强, 杨成梧, 杨伟 2003 电力自动化设备 23 9]
[23]	Zhu Z Y, Liu W T, Cai L Y 2009 Ship Eng. 31 36 (in Chinese) [朱志宇, 刘韦亭, 蔡立勇 2009 船舶工程 31 36]
[24]	Chang Y C 2010 Sci. Technol. Eng. 10 6194 (in Chinese) [常艳超 2010 科学技术与工程 10 6194]
[25]	Zhao H, Ma Y J, Liu S J, Gao S G, Zhong D 2011 Chin. Phys. B 20 120501
[26]	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]
[27]	Chung C Y, Lin C L 1999 IEEE Trans. Aut. Control 44 563
[28]	Yau H T 2008 Mech. Syst. Signal Process 22 408
[29]	Guo H J, Liu J H 2004 Acta Phys. Sin. 53 4080 (in Chinese) [郭会军, 刘君华 2004 物理学报 53 4080]
[30]	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]
[31]	Hossin G, Amir H, Azita A 2013 Chin. Phys. B 22 010503
[32]	Park K B, Tsuji T 1999 Int. J. Robust Nonlinear Control 9 769
[33]	Liu J K 2005 Matlab Simulation for Sliding Mode Control (Beijing: Tsinghua University Press) p362 (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362页]
[34]	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]
[35]	Yuan L, Wu H S, Tu J J 2010 Electr. Power Autom. Equip 30 82 (in Chinese) [袁雷, 吴汉松, 涂建军 2010 电力自动化设备 30 82]

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Vol. 62, Issue 19 - 2013-10-05

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