Switching LPV Controllers for a Variable Speed Pitch Regulated Wind Turbine

Fabien Lescher, Jing-Yun Zhao, Pierre Borne


This paper deals with the control of a variable speed, pitch regulated wind turbine in the whole plant operating area. The wind turbine operating area can be divided into several zones, depending on the wind speed, and the control objectives are different for each operating zone. An hybrid control system composed by several LPV controllers which switches during transitions from one operating area to another is designed in order to ensure asymptotic stability and a good level of performances in the whole operating area. The LPV controllers are calculated from a convex LMI formulation of the problem in order to minimize an H2=H¥ criteria that optimizes the energy conversion of the system and that reduces the mechanical fatigue of the plant mechanical structure. The proposed controller is finally compared with two more conventional ones.


wind energy, LPV modeling, H2/H_infinity control, switching systems, mechanical fatigue

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T. Burton, D. Sharpe, N. Jenkins, and E. Bossanyi, Wind Energy Handbook. John Wiley and Sons, 2001.

E.A. Bossanyi, The design of Closed Loop Controllers for Wind Turbines, Wind Energy, vol.3, 2001, pp.149-163.

W.E. Leithead, S. Dominguez and C.J. Spruce, Analysis of Tower/Blade interaction in the cancellation of the tower fore-aft mode via control, Proc. European Wind Energy Conference, London, UK, 2004.

P. Apkarian and R. J. Adams, Advanced gain-scheduling techniques for uncertain systems,IEEE Transactions on Control System Technology, vol. 6, pp. 21¡32, 1997.

F. Lescher, J. Zhao, and P. Borne, Robust gain scheduling controller for pitch regulated variable speed wind turbine,ˇT Studies in Informatics and Control, vol. 14, pp. 299¡315, 2005.

S. Lim, Analysis and Control of Linear Parameter-Varying Systems, Ph.D. Dissertation, Stanford University, 1999.

B. Lu and F. Wu, Switching LPV control designs using multiple parameter-dependent Lyapunov functions, Automatica, vol.40, 2004, pp. 1973-1980.

C. Nichita, D. Luca, B. Dakyo, and E. Ceanga, Large band simulation of the wind speed for real time wind turbine simulators, IEEE Transactions on Energy Conversion, vol. 17, pp. 523¡529, 2002.

C. Scherer, P. Gahinet, and M. Chilali, Multiobjective outputfeedback control via lmi optimization, IEEE Transactions on Automatic Control, vol. 42, pp. 896¡910, 1997.

M. Matsuiski and T.Endo, Fatigue of metals subjected to varying stress, Japan Soc. Mech. Engrg, 1969.

DOI: https://doi.org/10.15837/ijccc.2006.4.2309

Copyright (c) 2017 Fabien Lescher, Jing-Yun Zhao, Pierre Borne

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