analytical modeling for prediction of horizontal-axis wind turbines power generation in wind farms based on an analytical wake model

The development of models that predict power production of wind farms (wfs) by consideringthe interacting wakes is important; because wakes of the turbines exert a significant influenceon power production of turbines, and hence on the layout of wind turbines in wfs. thus, thepurpose of present study was to provide an innovative analytical method for the prediction ofpower generation of the wfs that have a flat terrain and are consisted of horizontal-axis windturbines (hawts) with the same hub height. the methodology employed utilized an analyticalgaussian model of hawt wake to develop an analytical model that calculates the effective windvelocity acting on the downstream hawt(s), which is further used for reading its generatedpower from the turbine’s catalog; thus, providing the generated power of the wf as the output.the results of presented model were validated by the field measurements data of horns rev wfand also were compared to two analytical models for predicting the generated power. theresults were compared with two numerical simulations of the literature, and the output data ofthree commercial software. moreover, the error analysis revealed that the presented modelmostly showed superior accuracy in predicting the field measurements data.