LPV Model Of Wind Turbines From GH Bladed's Linear Models

This paper shows a strategy to carry out a wind turbine LPV (Linear Parameter Varying) and MIMO (Multivariable Input and Multivariable Output) model from a family of LTI (Linear Time Invariant) models. The family of LTI models is obtained from a linearization process in different operational points of the wind turbine model in GH Bladed. The procedure is valid for any family of LTI models obtained from other simulation packages, as for instance, from FAST. The wind turbine model chosen is based on a 5 MW wind turbine defined in the Upwind European project. The LPV model is represented by the LFT (Linear Fractional Transformation) representation and its dynamics varies according to a selected parameter: blade pitch angle or wind speed. The MIMO LPV model has been developed in Matlab/Simulink. This model is validated analyzing some quality values in the frequency domain and in the time domain. These values determine the quality of the approximation of the LPV model to the family of LTI models.