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Wind farm power control is a key technology for enabling reliable integration of large-scale wind generation into the power system. This paper addresses one of the challenges in wind farm power control. Specifically, we present a mathematical model which is capable of closely approximating the behavior of various wind turbine control systems. The model consists of linear dynamical and nonlinear static components, suitably connected so that it could capture both the steady-state and transient behaviors of wind turbine control systems experiencing changes in power commands and wind speed. A parameter identification scheme is also provided for systematic determination of the model parameters. Through simulation, the proposed model is tested on several wind turbine control systems reported in recent literature. The encouraging results obtained show that the proposed approximate model is useful for the design and analysis of a universal wind farm power controller.