Effect of atmospheric stability to the scaling coefficients in the wake of a wind turbine and determine the effect of wake to the wind power using FAST

Today wind turbine (WT) wake is an important research area with great interest. People have been doing research for decades to unravel the mysteries of WT wake turbulence. Although, flow in the wake of a WT is turbulent, researchers are yet to use the turbulent scaling parameters. Henk Tennekes and John L. Lumley [20] presented their velocity and length scales for different types of wake for Neutral Atmospheric Boundary Condition (NABL). They stated that if the velocity defect and Reynolds stress become invariant, if they are expressed in the form of local length and velocity scales. However, we studied our LES data for NABL to get the turbulent coefficients. We got the power coefficients of velocity and length are 0.4867 and 0.4794 respectively, whereas theoretical values are 0.5 for both of them. Since, the results are very close, we studied the convective ABL (CABL) using the turbulent scaling parameters. Although, we got invariant profiles, the power coefficients varied from NABL which is expected due to different wind shear exponent and thermal shear. Moreover, we used FAST simulation software to simulate power using LES data. It is the first study to simulate power by FAST where LES data have been used. We analyzed the effect of stability, wind shear, TKE and profile averaged velocity over wind power.