In this paper the impact of wind speed variability in a wind farm on the load flow is analyzed . For this analysis, a DFIG wind turbine is mathematically modeled in a polynomial that represents the power injections, as a function of wind speed, and the Weibull probability (FDPW) for generating random values for wind speed. The wind farm used consists of 125 wind turbines of 2 MW each. The computer simulations are performed in the New England 39 bus system. The load flow problem is solved by the Newton-Raphson method for each wind speed generated by the FDPW. The results show a significant impact of the variability of wind speed on the load flow, with a tendency to oscillate and change the power flow in the lines to supply the low wind generation and/or reactive demand of the farm.