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LQR Control for a Multi-MW Wind Turbine

Authors: Trung-Kien Pham, Yoonsu Nam, Hyungun Kim, Jaehoon Son


This paper addresses linear quadratic regulation (LQR) for variable speed variable pitch wind turbines. Because of the inherent nonlinearity of wind turbine, a set of operating conditions is identified and then a LQR controller is designed for each operating point. The feedback controller gains are then interpolated linearly to get control law for the entire operating region. Besides, the aerodynamic torque and effective wind speed are estimated online to get the gain-scheduling variable for implementing the controller. The potential of the method is verified through simulation with the help of MATLAB/Simulink and GH Bladed. The performance and mechanical load when using LQR are also compared with that when using PI controller.

Keywords: LQR control, wind energy conversion system, variable speed variable pitch wind turbine, multi-MW size wind turbine

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[1] E.A. Bossanyi, "The design of closed loop controllers for wind turbines", Wind energy, vol. 3, 2000, pp. 148-163.
[2] K.Z. Ostergaard, P. Brath, J. Stoustrup, "Gain-scheduling linear quadratic control of wind turbines operating at high wind speed", 16th IEEE International Conference on Control Applications, Singapore, 2007, pp. 276-281.
[3] K. Stol, m. Balas, "Full-state feedback control of a variable-Speed wind turbine: A comparison of periodic and constant gains", ASME J. Solar energy engineering, vol.123(4), 2001, pp. 319-326.
[4] E.B. Muhando, T. Senjyu, H. Kinjo, T. Funabashi, "Augmented LQG controller for enhancement of online dynamic performance for WTG system", Renewable energy, vol. 33, 2008, pp. 1942-1952.
[5] E. L. van der Hooft, P. Shaak, T.G. van Engelen, "Wind turbine control algorithms," ECN-C-03-111, 2003.
[6] Y. Nam, J. Kim, I. Paek, Y.H. Moon, S.J. Kim, D.J. Kim, "Feedforward Pitch control using wind speed estimation", Journal of Power Electronics, Vol. 11, No. 2, 2011, pp. 211-217.
[7] K.Z. Ostergaard, P. Brath, J. Stroustrup, "Estimation of effective wind speed", Journal of Physics: Conference Series, vol. 75, 2007, pp. 1-9.
[8] E.A. Bossanyi, "GH Bladed theory manual (version 3.81)", Garrad Hassan and Partners, 282-BR-009, 2008