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Aiming at chaos in the wind turbine systems, the H control strategy is presented based on the Hamiltonian model, which makes systems disengage chaos and operate stably. Firstly, the permanent magnet synchronous generator of wind power system is transformed into a model which is similar to a Lorenz-like classical mathematic model through a series of transforms, and demonstrates existing chaos phenomena when its parameter values are in a certain range. Then, the Hamiltonian model of chaos system is established by taking full advantage of the physics structure of wind power system without the compensation of workless forces. Moreover, an H controller is investigated under the external disturbance. This controller is not only simple but also can reflect the interior structure and dynamic characteristics of system. The proposed strategy proves to be valid by simulations.
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Keywords:
- permanent magnet synchronous generator /
- wind power system /
- chaos control /
- Hamiltonian model
[1] Kuroe Y, Hayashi S 1989 IEEE Power Electron. Spec. Conf. Rec. 923
[2] [3] Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 5083 (in Chinese)[王兴元, 武相军 2006 物理学报 55 5083]
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[7] [8] An X L, Jiang D X 2010 Electric Power Automation Equipment 30 15 (in Chinese)[安学利, 蒋东翔 2010 电力自动化设备 30 15]
[9] [10] [11] Yang L H, Ma X K, Dai D 2009 Chaos, Solitons and Fractals 41 2741
[12] Zhang B, Li Z, Mao Z Y 2001 Proc. CSEE. 21 40 (in Chinese)[张波, 李忠, 毛宗源 2001~中国电机工程学报 21 40]
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[16] [17] Li Z, Zhang B, Mao Z Y 2002 Control Theory Appl. 18 53 (in Chinese)[李忠, 张波, 毛宗源 2002 控制理论与应用 18 53]
[18] Ren H P, 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]
[19] [20] [21] 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]
[22] [23] 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]
[24] Wei D Q, Luo X S, Wang B H, Fang J Q 2007 Phys. Lett. A 363 71
[25] [26] [27] Yu J P, Chen B, Yu H S, Gao JW2011 Nonlinear Analysis 12 671
[28] [29] Song Y D, Dhinakaran B, Bao X Y 2000 Journal of Wind Engineering and Industrial Aerodynamics 85 293
[30] [31] Wei A R, Wang Y Z 2010 Automatic 46 2008
[32] Sun Y Z, Jiao X H, Shen T L 2007 Adaptive Nonlinear Control of Power Systems (Beijing: Press of tsinghua University) (in Chinese)[孙元章, 焦晓红, 申铁龙 2007 电力系统非线性鲁棒控制 (北京:清华大学出版社)]
[33] -
[1] Kuroe Y, Hayashi S 1989 IEEE Power Electron. Spec. Conf. Rec. 923
[2] [3] Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 5083 (in Chinese)[王兴元, 武相军 2006 物理学报 55 5083]
[4] Krishan R 1991 IEEE Trans on Power Electronics 6 695
[5] [6] Wang L J, Liao X Z, Gao S, Dong L 2007 Transactions of Beijing Institute of Technology 27 1078 (in Chinese)[王丽婕, 廖晓钟, 高爽, 冬雷 2007 北京理工大学学报 27 1078]
[7] [8] An X L, Jiang D X 2010 Electric Power Automation Equipment 30 15 (in Chinese)[安学利, 蒋东翔 2010 电力自动化设备 30 15]
[9] [10] [11] Yang L H, Ma X K, Dai D 2009 Chaos, Solitons and Fractals 41 2741
[12] Zhang B, Li Z, Mao Z Y 2001 Proc. CSEE. 21 40 (in Chinese)[张波, 李忠, 毛宗源 2001~中国电机工程学报 21 40]
[13] [14] [15] Zhang B, Li Z, Mao Z Y 2001 Control Theory Appl. 18 589 (in Chinese)[张波, 李忠, 毛宗源 2001 控制理论与应用 18 589]
[16] [17] Li Z, Zhang B, Mao Z Y 2002 Control Theory Appl. 18 53 (in Chinese)[李忠, 张波, 毛宗源 2002 控制理论与应用 18 53]
[18] Ren H P, 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]
[19] [20] [21] 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]
[22] [23] 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]
[24] Wei D Q, Luo X S, Wang B H, Fang J Q 2007 Phys. Lett. A 363 71
[25] [26] [27] Yu J P, Chen B, Yu H S, Gao JW2011 Nonlinear Analysis 12 671
[28] [29] Song Y D, Dhinakaran B, Bao X Y 2000 Journal of Wind Engineering and Industrial Aerodynamics 85 293
[30] [31] Wei A R, Wang Y Z 2010 Automatic 46 2008
[32] Sun Y Z, Jiao X H, Shen T L 2007 Adaptive Nonlinear Control of Power Systems (Beijing: Press of tsinghua University) (in Chinese)[孙元章, 焦晓红, 申铁龙 2007 电力系统非线性鲁棒控制 (北京:清华大学出版社)]
[33]
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