Aiming at the problem of weak low voltage ride-through performance and unstable output power of doubly-fed induction generator (DFIG), the superconducting magnetic energy storage-fault current limiter system(SMES-FCL) suitable for grid-connected DFIG is constructed and analyzed, which achieves dual functions of energy storage and fault current limiting. Considering the nonlinear characteristics of the grid-connected DFIG with SMES-FCL, fuzzy-PI control strategy is used to establish a voltage and current double closed-loop control system of the SMES-FCL inverter and realize coordinated control with chopper, which overcomes the shortcomings of traditional PI control including difficult parameter tuning and poor robustness. Simulation model of DFIG with SMES-FCL is established by MATLAB/Simulink, simulation analysis and research are carried out under multi-conditions, such as normal operation and short circuit fault. Results show that the proposed method can not only improve the output power stability of DFIG, but also enhance the low voltage ride-through capability.