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In recent years dynamic induction control has shown great potential in reducing wake-to-turbine interaction by increasing the mixing in the wake. With these wake mixing methods, the thrust force will vary over time. If applied to a floating wind turbine, it will cause the platform to move. In this presentation, the effect of dynamic induction control and dynamic individual pitch control on a DTU10MW turbine mounted on a triple-spar platform and its wake is evaluated. When wake mixing strategies are enabled, the platform will undergo significant motions which will impact wake stability. To understand the impact of the motion on the wake, the motions for dynamic induction control, covered in this presentation, are simulated using the free wake vortex method as implemented in Qblade. Under laminar inflow, results show that the wind speed at a distance of 5 rotor diameters downstream can be increased by up to 10% compared to a fixed-bottom turbine.