In this article we develop the overall model of the wind energy conversion systems (WECSs) structure based on the permanent magnet synchronous generator (PMSG), and propose a study of the electrical parts (permanent magnet synchronous machine and static converter). Our study is developed on a wind conversion system in order to produce optimum power (to extract the maximal wind power). The speed control of all machine-turbine at optimal values can provide a valuable service and useful for the management and generation of power network to which the turbine is connected. The main drawback is that the WECS is highly nonlinear, and thus a nonlinear control strategy is required. An adaptive Fuzzy-PI speed controller is proposed to overcome this problem. Simulation results are given to show the effectiveness of this control strategy. Conclusions are summarized in the last section.