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The efficiency of the Wind Farm (WF) systems can be greatly improved using an appropriate control methodology. In this paper, a control for variable speed WF that incorporates a Permanent Magnet Synchronous Generator (PMSG) is described and the so called Vector Control (VC) theory is applied. 6 PMSGs based 2MW generators connected to a common DC bus are used. Each generator is connected to the DC-bus with a rectifier while the DC-bus is connected to the grid through one DC/AC converter. The proposed control law combines Space Vector Modulation (SVM) and Maximum Power Point Tracking (MPPT) control strategy to maximize the generated power from Wind Turbine Generators (WTG). Also, reactive and active power can be controlled by quadrature and direct current components, respectively. Accordingly, WF system can't only capture the maximum wind energy, but also can maintain the frequency and amplitude of the output voltage with unity power factor. Simulation results have shown the effectiveness of the proposed control strategy for WF based on the PMSGs.