Grid connected wind turbines are considered as a wise alternative to conventional energy sources; not only they are used to produce energy, but they have been recently operated in order to provide grid ancillary services such as stability and frequency control. In this paper we are going to deal with the famous doubly fed induction generator (DFIG) based Wind Energy Conversion Systems (WECS) for its variable speed operation and excellent power quality. The purpose of this study is to apply a High Order Sliding Mode Control (HOSMC) based on vector control and to compare the results with the first order sliding mode control (FOSMC) in order to evaluate the performances of stability and chattering elimination under normal conditions. Simulation results show the superiority of the SOSMC over the FOSMC in terms of robustness and chattering elimination.