A method and control arrangement are disclosed for controlling power output of a wind power plant (WPP) including a plurality of wind turbine generators (WTGs). The method includes determining that overboosting is required for the WPP to meet a power demand at the WPP, and determining, for at least a first WTG of the plurality of WTGs, a corresponding amount of overboost capacity. The method further includes generating, based on the determined amount of overboost capacity, control signals causing the first WTG to increase its power output through overboosting to thereby fulfill at least a portion of the power demand.