Full DC wind farms have good active support capabilities and can solve problems such as reactive power and overvoltage in traditional AC transmission systems, which have attracted widespread attention from academia and industry. Due to the high degree of power electronicization in wind power full DC systems, faults develop rapidly and exhibit strong time-varying nonlinearity in the event of large disturbances. Transient stability is a key issue affecting their stable operation. To address the issue of large disturbance stability in wind power full DC systems, considering the conservatism of stability, the Takagi Sugeno （TS） fuzzy model method is firstly used to establish an average model of the main circuit and controller parameters of the wind power full DC system. Secondly, the Lyapunov second method is used to construct the system energy function and an estimation of the system's stability domain, in order to intuitively analyze the large disturbance stability of the wind power full DC system. Then, based on the linear matrix inequality tool, the relationship between the electrical and control parameters of the system and the large disturbance stability domain of the system is determined. The system stability domain is plotted using the Lyapunov function, and the impact of each system parameter on the wind power DC system is analyzed and compared to achieve system stability analysis under large disturbances. Finally, the effectiveness of the proposed method is verified through simulation results.