Optimization of Windfarm Power by Controlling the Yaw Angle using Dynamic Programming

Abstract—In this paper we extend the Park and Jensen wake model to include the effects of yaw misalignment and wake deflection of wind turbines. We perform a numerical study to find the optimal values of induction factor and yaw misalignment angle of wind turbines in a single row of a windfarm for achieving the maximum total power with wake effects. Our study shows that the maximum power is achieved by keeping the induction factor close to 13 and only changing the yaw angle to deflect the wake. We then propose a dynamic programming framework (DPF) to maximize the total power production of a windfarm using yaw angle as the control variable. We compare the total windfarm power achieved with our DPF with the total power values obtained through greedy control strategy and induction factor optimization.