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On this paper the authors propose an analysis of a scalable wind system on dq frame using a doubly-fed induction generator. The wind system model includes the turbine and the doubly-fed induction generator model, where the turbine model contains a mathematical function to approximate the power coefficient, the power and torque produced by the wind turbine. Both models are presented in detailed form. The closed-loop wind system controller is described, where the controlled output variables are: the electromagnetic torque to maximize the wind energy capture and the stator reactive power of the energy delivered to the grid to control the power factor. Finally, simulation results are shown to validate the robust operation of the proposed wind system controller.