Free-Flow Wind Speed Estimation for a Wind Turbine Affected by Wake

We present a method to estimate the time-varying free-flow wind speed on a wind farm based on local wind speed measurements taken by a wind turbine inside the wake zone of a turbine array. Our approach relies on a simple modeling of the speed deficit as a 1-D transport equation [1]. We propose to estimate the free-flow wind speed by integrating the error between the local wind measurement and an estimation of it computed with the free-flow estimate. We provide a bound on the estimation error which we formally prove. Finally, we provide numerical simulations to illustrate the interest and the performance of the proposed method.