# THE LIMIT OF THE WIND TURBINE MAXIMUM EFFICIENCY WITH GIVEN SIZES IN SPECIFIC WIND CONDITIONS

V.S. Podgurenko, O.M. Getmanets, V.Ye. Terekhov

Èlektron. model. 2023, 45(3):104-115

https://doi.org/10.15407/emodel.45.03.104

### ABSTRACT

In the paper, the parameters of 115 types of existing wind turbines (WT) were analyzed and their power curves were modeled by using the Weibull cumulative distribution function (CDF). On the basis of these data, regression equations were obtained for the CDF parameters for the power curves of WT due to their main sizes: the nameplate capacity of the generator P and the rotor D. Based on the analysis of the obtained 115 WT CDF parameters and main sizes, the regression model of the WT average used power (AUP) in specific wind conditions has been built. The area of existence of possible values of main sizes P and D is defined. The presence of local maxima in the distribution of AUP by nameplate capacity at fixed values of the rotor diameters has been revealed. An analytical relationship was found between the optimal values of WT main sizes in different wind conditions. Certain restrictions were obtained for the maximum rotor diameter depending on the values of the nameplate capacity. The average starting wind speed of 3.37 m per s, at which the wind turbine starts working, has been determined theoretically.

### KEYWORDS

wind turbine, Weibull distribution function, main sizes, nameplate capacity, rotor, optimization.

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