This paper is interested in the control of a wind energy conversion system (WECS) based on the doubly fed induction generator (DFIG) under grid fault conditions. A single line to ground fault and a double line to ground fault are tested during the hyper-synchronous operation of the DFIG wind turbine. In order to manage the rotor power flow in case of fault, a control technique of the grid side converter (GSC) is proposed. It is found that, three controllers are necessary to control the line currents of the rotor side connection because of the power unbalance during the faults. Simulation results are presented to show some operating conditions of the DFIG wind turbine and to prove the effectiveness of the proposed control technique. (C) 2012 Elsevier Ltd. All rights reserved.