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In this paper the analysis of small signal stability of grid-connected doubly fed induction generators (DFIG) is presented. The detailed model of grid-connected DFIG wind turbine is firstly established, and the eigenvalues are classified and characterized based on participation factors. Then the modal analysis including its converter and pitch controllers is studied, and model simplification of the DFIG wind turbine is presented under the acceptable assumption. Finally, simplified model of DFIG wind turbine is used in dynamic analysis of Zhangjiakou wind plant in China, and the results offer a good dynamic performance.