This project propose the impact of power grid strength and phase locked loop (PLL) parameters on small signal stability of grid connected doubly fed induction generator (DFIG) based wind farm. Modal analysis of the grid connected DFIG wind turbine under different operating conditions and various power grid strengths are proposed at first. Modal analysis results reveal that the DFIG connected to a weak grid may easily lose stability under the heavy duty operating conditions due to PLL oscillation. The object of this project is to identify the PLL oscillation mechanism as well as influence factors and propose a damping solution for this oscillation mode. A simplified linear system model of the grid connected DFIG wind turbine is proposed for analyzing the PLL oscillation. Through the complex torque coefficients method and using this model, the oscillation mechanism and influence factors including the power grid strength and the PLL parameters are identified. To suppress this PLL oscillation, a mixed H2/H∞ robust damping controller is proposed and designed for the DFIG. Electromagnetic transient simulation results of both single DFIG system and multiply DFIG system verify the correctness of the analysis results and effectiveness of the proposed damping controller.