In this paper, the mitigating subsynchronous resonance (SSR) phenomenon has been designed in modified IEEE- first bench mark including DFIG-based wind farms connected compensated transmission lines that includes a series capacitor with fuzzy controller. In addition, wide- area measurement systems have been used in the fuzzy controller. This paper designs a fuzzy logic wide-area damping controller to mitigate SSR by considering the time delay caused by the (Phasor Measurement Unit) PMU measurement. The fuzzy controller is a supplementary signal at the stator voltage of the gird-side converter (GSC) of DFIG-primarily based wind farms. This controller is executed by including voltage and capacitor voltage variations of series capacitive compensated. The effectiveness and validity of the proposed auxiliary damping control had been verified on a modified scheme of the IEEE- first benchmark model via time area simulation analysis by using MATLAB/Simulink. Manuscript profile