The paper deals with the design of a control system for a variable-speed pitch-regulated wind turbine. The control objectives of such system are mostly to ensure a good energy conversion performances and to reduce the mechanical stresses of the plant components. For the different operating areas of the plant, the non linear behavior of the system is described by a polytopic model and a robust linear parameter varying (LPV) controller is designed in order to minimize the multiobjective H2 / H performance of the closed loop system from a linear matrix inequality (LMI) formulation of the problem. For each operating area, the designed controller is robust to the evolution of the plant parameters with changing operating conditions. The controller performances are then compared in simulation with those of a gain scheduling linear quadratic gaussian (LQG) controller, and is seen to be much more efficient especially for alleviation of mechanical stresses on the plant drive train.
Wind Turbine, LPV control design, LMI optimization, mechanical stresses.