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With more and more EV charging stations accessed to power system, researches on the clustering effect of EV chargers and their influence on the static voltage stability become important and necessary. This paper carries out studies aiming at analysis, modeling and simulation of EV charging station along with its impacts on the static voltage stability of power system. In this paper, the load characteristics of EV charger are deduced separately in the constant-current/constant-voltage charging mode. Then the single EV charger model and the cluster equivalent load model of an EV charging station is established in Matlab/Simulink toolbox, after which its impact on the static voltage stability is studied based on a simple system through simulation.