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Renewable energy sources have achieved increasing levels of penetration in recent years. Therefore, the impact of those sources on the power system is becoming greater, due to their intermittent source. The current tendency is to remain the Wind Turbine (WT) connected to the grid during voltage dip or frequency variation according to the grid connection requirements (GCR). This paper proposes an application of a Flywheel Energy Storage System (FESS) associated to a direct drive WT and connected to the grid in order to evaluate its participation to the ancillary services. The main functions of the FESS is to smooth the variable power delivered by the wind source and to ensure the injection of the power needed for the grid in order to increase the rate of penetration of WT into the grid and to improve its contribution to the ancillary services.