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In this paper, a simplified model to represent variable speed wind turbines in power system dynamics simulations is presented. This model is based in the use of controls-oriented model for permanent magnet synchronous generator supplying voltage-stiff bus system, including intrinsic torque/load properties. First, the modeling approach is commented upon and models of the subsystems of which a variable speed wind turbine consists are discussed. Then, time-domain simulations have been performed for one study case in order to demonstrate the suitable use of the model proposed in this paper. Results have shown that the model developed performs satisfactorily for slow dynamic when compared with the results obtained from simulation considering the detailed model.