Validation of wind turbine LPV model

Abstract

This work describes and validate a Linear Parameter Varying (LPV) model of a real benchmark of wind power system. With a nonlinear model of this process, the use of identification and control concepts for linear model as developed in the literature isn't useful to be used. So that, the nonlinear systems are approximated to Linear Time Invariant (LTI) systems, that is a local approximation of real system. To take account of the nonlinearity and using the linear approaches developed, a linear parameter varying modeling is required. The nonlinear model is transformed to an LPV one using the automated generation method for affine LPV representations. This method consists of generating an LPV model where the nonlinearities are hidden in the vector of parameters. Then, this transformation method is applied to a wind turbine system to get an LPV model for this benchmark system. Finally, the implementation of this LPV benchmark model on Matlab is done and good results are obtained since the LPV simulation responses achieve the nonlinear system model ones that prove the effectiveness and performance of this modeling approach.