This paper presents a probabilistic wind farm model for probabilistic load flow (PLF) calculation applied to gridconnected induction wind power system. In the model, the real power injected and reactive power absorbed by the wind turbine are described as the function of the voltage magnitude, the slip of the induction machine and circuit parameters of the wind turbines. Then, the slip of induction wind turbine generator is introduced as the new correction value in the PLF equations, and thus the PLF equations can be solved by performing a unified iteration for the original state variables and the slip. Using the Newton-Raphson (NR) algorithm, the method retains the quadratic convergence of the NR algorithm. Finally, PLF is performed on the IEEE test system, and the impact of uncertain wind power on the system voltage is analyzed. The results show the effectiveness of the proposed model.Index Terms-probabilistic wind farm model, probabilistic load flow, uncertainty, Weibull probability density function.

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