The objective of this talk is to propose a realistic wind turbulence simulator, especially in the case of mechanical systems operating outdoors such as tracking antennas or wind powers. Wind turbulence is a stochastic and non-stationary process corresponding to the short-term component of wind and therefore is difficult to model in time domain. Wind spectral characteristics are described by the power spectral density whose approximation is used in the real-time simulator to reproduce wind behavior. The von Karman model is the most commonly used model to approximate the power spectral density of wind turbulence. However, this model was originally designed for aircraft, and therefore for high altitudes and moving systems. In our case, tracking antennas are used under dierent conditions: low altitude and slow moving systems. This makes the von Karman model less precise in middle and high range frequency. Consequently, there is a need in more accurately modeling wind turbulence under these specic conditions. As von Karman’s model expression uses fractional calculus, other fractional models are investigated and designed with the same input conditions (mean speed, standard deviation and length scale)as the von Karman model. Moreover physical meaning is also provided to the proposed model parameters in order to easily tune them for realistic wind turbulence scenarios. Finally, an accurate turbulence wind speed generator is proposed.