This paper proposes an enhanced control and operation of a doubly fed induction generator (DFIG) based wind power generation system under unbalanced grid voltage conditions. System behaviors of grid-side and rotor-side converters (GSCs and RSCs) are described. The RSC is controlled to eliminate the electromagnetic torque oscillation at double the grid frequency. Meanwhile, three selective control targets for the GSC, i.e., reducing the pulsations in the total active or reactive power, or unbalanced current outputs from the overall system, are identified and analyzed during voltage imbalance. A new current-control scheme is presented for the GSC and RSC without involving the decomposing of positive and negative sequence currents. The controller consists of a proportional (P) regulator and a resonant (R) one tuned at the grid frequency, which is implemented in the stator stationary reference frame. Finally, simulation studies are carried out on a 1.5-MW wind-turbine-driven DFIG system. The validity of the presented current controller and the feasibility of the proposed control targets are all confirmed by the simulated results.