  Dynamic induction control is a wind farm flow control strategy that utilises
wind turbine thrust variations to accelerate breakdown of the aerodynamic wake
and improve downstream turbine performance. However, when floating wind
turbines are considered, additional dynamics and challenges appear that make
optimal control difficult. In this work, we propose an adjoint optimisation
framework for non-linear economic model-predictive control, which utilises a
novel coupling of an existing aerodynamic wake model to floating platform
hydrodynamics. Analysis of the frequency response for the coupled model shows
that it is possible to achieve wind turbine thrust variations without inducing
large motion of the rotor. Using economic model-predictive control, we find
dynamic induction results that lead to an improvement of 7% over static
induction control, where the dynamic controller stimulates wake breakdown with
only small variations in rotor displacement. This novel model formulation
provides a starting point for the adaptation of dynamic wind farm flow control
strategies for floating wind turbines.
