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This paper presents the application of average current mode control to reduce the THDi and increase the PF in a three-phase boost rectifier driving a small wind turbine. It is used as the input stage of small wind turbines with permanent magnet synchronous generators operating at variable speed.The boost rectifier output is connected to an inverter which injects the energy to a distribution power grid.The operation in discontinuous conduction mode allows significantly reducing the total harmonic-distortion of the current in the small wind turbine.However, it is necessary to add an input filter so that the switching ripple doesn't affect the small wind turbine. It is evaluated the convenience of the current sensors placement in the DC side of the rectifier or at the output of the generator. The results demonstrate that it is better to place the sensors at the output of the generator, because it is achieved a smaller THDi and a higher PF.