This paper considers the design of linear parameter varying (LPV) controllers for wind turbines in order to obtain a multivariable control law that covers the entire nominal operating trajectory.The paper first presents a controller structure for selecting a proper operating trajectory as a function of estimated wind speed. The dynamic control law is based on LPV controller synthesis with general parameter dependency by gridding the parameter space.The controller construction can, for medium- to large-scale systems, be difficult from a numerical point of view, because the involved matrix operations tend to be ill-conditioned. The paper proposes a controller construction algorithm together with various remedies for improving the numerical conditioning the algorithm.The proposed algorithm is applied to the design of a LPV controller for wind turbines, and a comparison is made with a controller designed using classical techniques to conclude that an improvement in performance is obtained for the entire operating envelope.
|Journal||International Journal of Robust and Nonlinear Control|
|Number of pages||24|
|Publication status||Published - 10 Jan 2009|
Østergaard, K. Z., Stoustrup, J., & Brath, P. (2009). Linear parameter varying control of wind turbines covering both partial load and full load conditions. International Journal of Robust and Nonlinear Control, 19(1), 92-116. https://doi.org/10.1002/rnc.1340