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In this paper, the modelling of distribution network with Doubly Fed Induction Generator (DFIG) is presented in a different way where the resistances of the lines are considered. Induction motor is considered as dynamic load which causes the voltage stability problems in power distribution system. Based on this modelling, this paper presents an analysis to investigate the critical parameters for distribution systems with dynamic loads where DFIGs are used as distributed generation that affect the stability. In order to analyze the critical parameters, the system is linearized about an operating point by using Taylor series expansion method. The critical parameters are investigated through the concept of eigenvalues and participation factors. Finally this paper shows that varying the line resistor, the marginally stable system goes to the unstable mode.