Large-scale doubly-fed induction generator （DFIG） wind turbines are connected to the grid and required to remain grid-connection during faults, the short-circuit current contributed by the generation has become a significant issue. However, the traditional calculation methods aiming at synchronous generators cannot be directly applied to the DFIG wind turbines. A new method is needed to calculate the short-circuit current required by the planning, protection and control of the power grid. The short-circuit transition of DFIG under symmetrical and asymmetric short-circuit conditions are mathematically deduced, and the short-circuit characteristics of DFIG are analyzed. A new method is proposed to calculate the steady-state short-circuit current of DFIG based on the derived expressions. The time-domain simulations are conducted to verify the accuracy of the proposed method.