Offshore wind energy is an alternative energy source of increased interest. A large offshore wind farms have been planned or under construction, mainly in northern Europe. One of the points needed to be able to implement offshore projects is to characterize and model the wind for marine generation. Models are needed for the design of the most appropriate control strategies. Some attempts have been done to do so; recently these models are implemented under a wind turbine block set in Matlab/Simulink. A handicap has been detected: adjustment of wind turbulence using a white noise function. In this paper, a modification of that model is presented, based on real data and a wind model block in Matlab/Simulink has been performed to implement a new noise function with better results than the standard white noise function.