With the continuous increase of power demand, the capacities of renewable energy generation systems are being expanded. With the increased penetration of wind energy as a renewable energy source, there is a need to keep wind turbines connected to the grid during grid faults. The ability of WTGS (Wind Turbine Generation System) to remain connected to the grid during faults is termed as Fault-Ride Through capability (FRT) of the system. In this paper, the use of superconducting fault current limiter (SFCL) is proposed to improve the FRT capability of WTGS thus improving reliability of the system. A Doubly-Fed Induction Generator (DFIG) is considered as a wind-turbine generator for analysis. Detailed simulation results are obtained with and without SFCL considering the stator and rotor currents. Also, the voltage profile, real and reactive power magnitudes are analyzed. The computed results ensure that SFCL is effective in mitigating the fault current magnitude which would enhance the reliability and stability of the system as a whole.