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The doubly fed induction generator (DFIG) is investigated. Its mathematical model under d-q axis is deduced. According to 2MW mainstream DFIG actual parameters the chaotic behaviors are demonstrated to appear in a certain range of parameter values or under certain working conditions. Based on active control method, an active sliding mode controller is designed, which enables chaotic systems to be stablized under arbitrary initial conditions. The stability of the controlling method is analyzed by Lyapunov stability theorem. Finally, numerical results are presented for the DFIG system. This method may realize the chaos synchronization, and both the stability and the robustness are good.
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Keywords:
- wind power generation /
- doubly fed induction generator (DFIG) /
- chaos control and sliding mode control /
- synchronization
[1] Wu C L, Ma S J, Sun Z K, Fang T 2006 Acta Phys. Sin. 55 6253(in Chinese)[吴存利、马少娟、孙中奎、方 同 2006 物理学报 55 6253]
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[3] Li D, Wang H, Yang D, Zhang X H, Wang S L 2008 Chin. Phys. B 17 4091
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[7] Yang X K, Cai L, Zhao X H, Feng C W 2010 Acta Phys. Sin. 59 3740(in Chinese)[杨晓阔、蔡 理、赵晓辉、冯朝文 2010 物理学报 59 3740]
[8] Feng Y L, Zhang X H, Yao Z H 2010 Chin. Phys. B 19 060511
[9] Qin Y H, Luo X S, Wei D Q 2010 Chin. Phys. B 19 050511
[10] Shi P M, Han D Y, Liu B 2010 Chin. Phys. B 19 090306
[11] Sun Q Y, Zhang H G, Zhao Y 2010 Chin. Phys. B 19 070512
[12] Gu Q L, Gao T G 2009 Chin. Phys. B 18 84
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[14] Feng Y L, Zhang X H 2009 Chin. Phys. B 18 5212
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[19] Wei D Q, Luo X S, Fang J Q, Wang B H 2006 Acta Phys. Sin. 55 54 (in Chinese ) [韦笃取、罗晓曙、方锦清、汪秉宏 2006 物理学报55 54]
[20] Ren HP, Liu D, Li J 2003 Proc.CSEE 23 175 (in Chinese) [任海鹏、刘 丁、李 洁 2003 中国电机工程学报 23 175]
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[22] Li M, Liu C X 2010 Chin. Phys. B 19 100504
[23] Kong C C, Chen S H 2009 Chin. Phys. B 18 91
[24] Li D, Zhang X H, Yang D, Wang S L 2009 Acta Phys. Sin. 58 1432 (in Chinese ) [李 东、张小洪、杨 丹、王时龙 2009 物理学报 58 1432]
[25] Ha Q H, Nguyen Q H 2001 IEEE Tra.Industrial Electr. 48 38
[26] Li W L, Chen X Q, Shen Z P 2008 Chin. Phys. B 17 87
[27] Kong C C, Chen S H 2009 Chin. Phys. B 18 91
[28] Guo H J,Yin Y W, Wang H M 2008 Chin. Phys. B 17 1652
[29] Lou X Y, Cui B T 2008 Chin. Phys. B 17 4434
[30] Li X C, Xu W, Xiao Y Z 2008 Acta Phys. Sin. 57 4721(in Chinese)[李秀春、徐 伟、肖玉柱 2008 物理学报 57 4721]
[31] Zhao Y H, Hu H Y 2003 Journal of Nanjing University of Aeronautics & Astronautics 35 308
[32] De Wit P A S, Omega R, Mareels I 1996 Automatica 32 1393
[33] Reginatto R, Bazanella A S 2003 IEEE Transactions on Automatic Control 48 1218
[34] Bazanella A S, Reginatto R 2000 IEEE Transactions on Automatic Control 45 1226
[35] Liu F C, Song J Q 2008 Acta Phys. Sin. 57 4729(in Chinese)[刘福才、宋佳秋 2008 物理学报 57 4729]
[36] Liu D, Yan X M 2009 Acta Phys. Sin. 58 3747(in Chinese)[刘 丁、闫晓妹 2009 物理学报 58 3747]
[37] Hu F Y, Zheng Y A, Ma M 2008 Journal of Dynamics and Control 6 316(in Chinese)[胡冯仪、郑永爱、马明 2008 动力学与控制学报 6 316]
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[1] Wu C L, Ma S J, Sun Z K, Fang T 2006 Acta Phys. Sin. 55 6253(in Chinese)[吴存利、马少娟、孙中奎、方 同 2006 物理学报 55 6253]
[2] Liu J D, Yu Y M 2007 Acta Phy. Sin. 56 1297(in Chinese) [刘建东、余有明 2007 物理学报 56 1297]
[3] Li D, Wang H, Yang D, Zhang X H, Wang S L 2008 Chin. Phys. B 17 4091
[4] Feng Y L, Zhang X H 2009 Chin. Phys. B 18 5212
[5] Ding D W, Zhu J, L X S 2008 Chin. Phys. B 17 105
[6] Li J F, Li N, Liu Y P, Gan Y 2009 Acta Phys. Sin. 58 779(in Chinese)[李建芬、李 农、刘宇平、甘 轶 2009 物理学报 58 779]
[7] Yang X K, Cai L, Zhao X H, Feng C W 2010 Acta Phys. Sin. 59 3740(in Chinese)[杨晓阔、蔡 理、赵晓辉、冯朝文 2010 物理学报 59 3740]
[8] Feng Y L, Zhang X H, Yao Z H 2010 Chin. Phys. B 19 060511
[9] Qin Y H, Luo X S, Wei D Q 2010 Chin. Phys. B 19 050511
[10] Shi P M, Han D Y, Liu B 2010 Chin. Phys. B 19 090306
[11] Sun Q Y, Zhang H G, Zhao Y 2010 Chin. Phys. B 19 070512
[12] Gu Q L, Gao T G 2009 Chin. Phys. B 18 84
[13] Zhou P, Cao Y X, Cheng X F 2009 Chin. Phys. B 18 1394
[14] Feng Y L, Zhang X H 2009 Chin. Phys. B 18 5212
[15] Li D, Wang S L, Zhang X H, Yang D 2010 Chin. Phys. B 19 010506
[16] Wei D Q, Zhang B 2009 Chin. Phys. B 18 1399
[17] 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]
[18] Li D, Wang S L, Zhang X H, Yang D, Wang H 2008 Chin. Phys. B 17 1678
[19] Wei D Q, Luo X S, Fang J Q, Wang B H 2006 Acta Phys. Sin. 55 54 (in Chinese ) [韦笃取、罗晓曙、方锦清、汪秉宏 2006 物理学报55 54]
[20] Ren HP, Liu D, Li J 2003 Proc.CSEE 23 175 (in Chinese) [任海鹏、刘 丁、李 洁 2003 中国电机工程学报 23 175]
[21] Qi D L, Yang J, Zhang J L 2010 Chin. Phys. B 19 100506
[22] Li M, Liu C X 2010 Chin. Phys. B 19 100504
[23] Kong C C, Chen S H 2009 Chin. Phys. B 18 91
[24] Li D, Zhang X H, Yang D, Wang S L 2009 Acta Phys. Sin. 58 1432 (in Chinese ) [李 东、张小洪、杨 丹、王时龙 2009 物理学报 58 1432]
[25] Ha Q H, Nguyen Q H 2001 IEEE Tra.Industrial Electr. 48 38
[26] Li W L, Chen X Q, Shen Z P 2008 Chin. Phys. B 17 87
[27] Kong C C, Chen S H 2009 Chin. Phys. B 18 91
[28] Guo H J,Yin Y W, Wang H M 2008 Chin. Phys. B 17 1652
[29] Lou X Y, Cui B T 2008 Chin. Phys. B 17 4434
[30] Li X C, Xu W, Xiao Y Z 2008 Acta Phys. Sin. 57 4721(in Chinese)[李秀春、徐 伟、肖玉柱 2008 物理学报 57 4721]
[31] Zhao Y H, Hu H Y 2003 Journal of Nanjing University of Aeronautics & Astronautics 35 308
[32] De Wit P A S, Omega R, Mareels I 1996 Automatica 32 1393
[33] Reginatto R, Bazanella A S 2003 IEEE Transactions on Automatic Control 48 1218
[34] Bazanella A S, Reginatto R 2000 IEEE Transactions on Automatic Control 45 1226
[35] Liu F C, Song J Q 2008 Acta Phys. Sin. 57 4729(in Chinese)[刘福才、宋佳秋 2008 物理学报 57 4729]
[36] Liu D, Yan X M 2009 Acta Phys. Sin. 58 3747(in Chinese)[刘 丁、闫晓妹 2009 物理学报 58 3747]
[37] Hu F Y, Zheng Y A, Ma M 2008 Journal of Dynamics and Control 6 316(in Chinese)[胡冯仪、郑永爱、马明 2008 动力学与控制学报 6 316]
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