Windfarm Power Optimization Using Yaw Angle Control

In this paper, we extend the Park and Jensen wake model to include the effects of yaw angle rotation and wake deflection of wind turbines. We first perform a numerical study to find the optimal values of induction factor and yaw angle of wind turbines in a single column of a windfarm for achieving the maximum total power with wake effects. This study shows that the maximum power in a single column is achieved by keeping the induction factor at one-third and only changing the yaw angle to deflect the wake. We then propose a dynamic programming formulation to maximize the total power production in a windfarm with a single column of turbines using yaw angle as the control variable. We also extend our expressions to a windfarm with multiple rows and columns of turbines and perform simulations on the 3 x 3 and 4 x 4 grid topologies. Our results show that the optimal induction factor for most turbines is quite close to one- third and yaw angle acts as the dominant optimization variable.