Wind energy is the fastest growing market in the energy production, and it is estimated that by 2030, over the 20% of global energy production will be done with this technology. However, with the increase of dimensions of both the single turbines and of the clusters of wind turbines, generally known as wind farms, the engineering challenges increase too. In this thesis, a model for a wind farm composed of four wind turbines and the relative control algorithms are presented. A simplified model for an Horizontal Axis Wind Turbine (HAWT) has been developed considering both the aerodynamics and the electrical generator; this last one has been developed considering a Doubly-Fed Induction Machine (DFIM) controlled and connected to the grid by a back-to-back converter, composed of two bi-directional voltage source inverters (VSI).