Wind turbine generation is rapidly becoming the preferred renewable source of electric energy. The amount of energy captured from a wind energy conversion system (WECS) depends not only on the prevailing wind at the site, but also on the control strategy used for the WECS. Modeling, control and simulation of a wind turbine conversion system connected to an isolated load are proposed. The wind turbine being considered a variable speed turbine connected to a gear box to move a three phase wound rotor synchronous generator. The variable frequency energy produced by the generator is converted to the 50 Hz power system energy by a full power AC/DC/AC electronic converter. The maximum output power at every wind speed is achieved by selecting a certain inverter modulation index using proportional-integral controller which uses DC link power as feedback signal. The controller gains (Kp and Ki) are optimized using the Genetic Algorithm.