Document Type : Review Article

Authors

1 Electrical engineering department, Gonabad Branch, IslamicAzad University, Gonabad Iran.

2 Electrical engineering department, Gonabad Branch, IslamicAzad University, Gonabad Iran

Abstract

In this paper a sliding mode control method by use of state feedback on a permanent magnet synchronous generator (PMSG) is proposed. This system by lyapunov exponents known as chaotic system with unstable equilibrium points. Stability of this system with proposed controller is proved by lyapunov theory. Finally, the simulation results shows that mentioned controller converge chaotic system to zero and also the controller is capable of tracking any desired point.

Keywords

[1] Zhong-Qiang Wu, Wen-Jing Jia, Li-Ru Zhao, Chang-Han Wu, “Maximum wind power tracking for PMSG chaos systems – ADHDP method” , Applied Soft Computing, vol. 36, pp. 204–209, 2015
[2] Tan Luong Van, Trung Hieu Truong, Buu Pham Nhat Tan Nguyen, “Nonlinear Control of PMSG Wind Turbine Systems”, Springer-Verlag Berlin Heidelberg. 2014
[3] Kezhao Zhang, Juan Li, Shengquan Li, Qingfeng Cao, Guifeng Wu, “Predicative Active Disturbance Rejection Control for Optimal Power Control of Direct-Driven PMSG with Time Delay”, DOI 978-1-4799-7016-2/15/ 2015 IEEE
[4] Edwart N. Lorenz, “ Deterministic Nonperiodic flow”, Journal of the atmospheric sciences, vol. 20, pp. 131-140, 1963
[5] Guodong Ye and Xiaoling Huang, “A feedback chaotic image encryption scheme based on both bit-level and pixel-level”, Journal of Vibration and Control , vol. 22, No.5, pp. 1171–1180, 2016
[6] Fuchen Zhang, Chunlai Mu, Xingyuan Wang, Iftikhar Ahmed, Yonglu Shu, “Solution bounds of a new complex PMSM system”, Nonlinear Dynamic, DOI 10.1007/s11071-013-1022-5, 2013
[7] Roberto Barrioa, M.Angeles Martinez, Sergio Serranoa, Daniel Wilczak, “When chaos meets hyperchaos: 4D Rössler model”, Physics Letters A, 2015
[8] Wei Deng Jie Fang Zhen-jun Wu, “A dual-parameter hyperchaotic system with constant Lyapunov exponent and its circuit emulation”, Optik - International Journal for Light and Electron Optics 2015
[9] B. R. Andrievskii and A. L. Fradkov “Control of Chaos: Methods and Applications. I Methods”, Automation and Remote Control, vol. 64, No. 5, pp. 673-713, 2003
[10] B. R. Andrievski and A. L. Fradkov, “Control of Chaos: Methods and Applications. II Applications”, Automation and Remote Control, vol. 65, No. 4, pp. 505-533, 2004
[11] Manal Messadia, Adel Mellita, Karim Kemihb, and Malek Ghanesc, “Predictive control of a chaotic permanent magnet synchronous generator in a wind turbine system”, Chain. Phys. B ,vol. 24, No. 1, 2015
[12] Vladislav Akhmatov, “ Analysis of dynamic behavior of electric power systems with large amount of wind power”, Ph.D Thesis, 2003
[13] Han Ho Choi • Jin-Woo Jung, “Fuzzy speed control with an acceleration observer for a permanent magnet synchronous motor”, Nonlinear Dynamic, vol. 67, pp.1717–1727, 2012
[14] Hassan K. Khalil, “ Nonlinear systems”, second Edition, 1996