A method for estimating an achievable power production of a wind turbine, which is operated with a reduced power set point is provided. The method includes determining the values of at least two parameters, inputting the values of the at least two parameters into a neural network, and outputting an output value from the neural network. The at least two parameters are indicative of an operating condition of the wind turbine. Thereby, the output value is an estimate of the achievable power production of the wind turbine. A control system which is adapted to carry out the described power estimation method is also provided. Furthermore, a wind turbine which uses the control system adapted to carry out the described power estimation method is provided.