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This paper investigates the dynamic stability of a power system distribution network integrating variable speed wind generation based on a bifurcation analysis. A generalized model of the system is developed taking into account multiple wind farms, transformer branches and composite dynamic load model. Bifurcations may be analyzed by a systematic testing of the complete system Jacobian matrix. Considering the load voltage, frequency and voltage gradient dependency, three models are studied. Factors of impact are: the generator input mechanical power, the loading factor and the reactive loading. It is shown that generator and load dynamic interaction may trigger nonlinear phenomena, such as voltage oscillations and the appearance of bifurcations.