Modelling the induction, thrust and power of a yaw-misaligned actuator disk

Collective wind farm flow control, where turbines are operated in an individually suboptimal strategy to benefit the aggregate farm, has demonstrated potential reduce wake interactions and increase energy production. However, existing models used for control often estimate thrust power of yaw-misaligned using simplified empirical expressions that require expensive calibration data do not extrapolate accurately between turbine models. The thrust, velocity deficit, deflection a yawed depend on its induced velocity. Here, we extend classical one-dimensional momentum theory model induction actuator disk. Analytical induction, initial velocities developed as function yaw angle ( $\gamma$ ) coefficient. analytical is validated against large eddy simulations Because depends coefficient, generated by disk will always be greater than $\cos ^3(\gamma )$ suggests. lost due misalignment An expression coefficient maximizes power, depending yaw, validated. Finally, condition turbulent far-wake model, demonstrate how combining steering (induction) can array compared either independent or joint dependence angle.