Modeling of the flow in wind farms for total power optimization

In this work, the concept of total power optimization for wind farms under wake interaction is presented. A dedicated Computational Fluid Dynamic (CFD) model of the wind based on the numerical solution of the 2D Navier-Stokes equations is implemented in an efficient way by exploiting the sparsity of the involved matrices. Thus, the total power optimization over the farm is performed by incorporating the velocity field obtained from the CFD model. Finally, we show how the total power can be increased in a 2.26% with respect to the conventional optimal operation.