This thesis deals with the robust modeling and control of a double-effect asynchronous air generator (GADA) connected directly to the network by means of a stator and driven in its rotor by two stator transformers. The idea is to set up a separate control system from GADA to ensure better power quality and make the system immune to disturbances. After modeling the complete chain of wind energy conversion with maximum power point control (MPPT) operation, two types of vector control were analyzed for independent control of active and reactive power GADA with conventional proportional-integral (PI) controllers. Therefore, we choose the fuzzy logic control technique applied to the medium-power wind energy conversion system. This technique has found its effectiveness in modifying the structure of systems using the nonlinear control law. The goal is to apply this strategy to control the exchange of active power and stator feedback power by feeding the rotor by a two-way transformer. The numerical simulation results obtained show the growing interest of this control in energy systems. In order to improve the process of determining the modes of these two regulators, we used the hybrid genetic algorithm technique with one of the local search methods, which made the media design and search process easier than the method of arbitrary simulation attempts in terms of determining the size of trial and error.