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.
[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
[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
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:55300", author = "Trung-Kien Pham and Yoonsu Nam and Hyungun Kim and Jaehoon Son", title = "LQR Control for a Multi-MW Wind Turbine", abstract = "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 = "variable speed variable pitch wind turbine, multi-MW
size wind turbine, wind energy conversion system, LQR control.", volume = "6", number = "2", pages = "442-6", }