Optimization method of wind turbine blades geometry

In order to determine the design optimization of the aeolian turbines with horizontal axis we proceed to elaborate a mathematical algorithm related to certain geometry of the turbine blades and to characteristic curve within a wide exploitation field. This optimal background consists on some mathematical iteration regarding the extracting energy maximization from wind valorization. The optimization task outlines two aspects which are taken into consideration: to find the so called "desirability curve" and thus the mathematical model which is involved in establishing the optimal solution. Under certain conditions one obtains three approximations for "desirability exploitation curve". The aim of the study is to find the shape of that approximation curve which is the closest to the "desirability curve".