Calculating Weibull coefficients using the Maximum Likelihood Method and comparing performance across sites

Abstract

The harmony of the Weibull Distribution Function (WDF) and real data from three different places was investigated in this research. The coefficients of the WDF were calculated using the Maximum Likelihood Method (MLM) in the Adana, Osmaniye, and Hatay regions. One of the main goals of this research is to see how the MLM's performance varies in different places with different mean wind speeds. For the purpose of justifying the MLM's performance, the statistical fits of the computed and measured hourly wind speed data were analyzed. The performance of the indicated approach in all three selected locations was evaluated using the Root Mean Square Error (RMSE), Coefficient of Determination (R2), and Mean Percentage Error (MPE) error analysis tests, according to the results. Also estimated for all three regions were wind power densities, which are one of the most essential metrics for estimating a region's wind energy potential. WDF power densities were estimated and compared to real wind power densities generated from measured wind data in three different places. The performance of the strategy described in this paper was investigated in depth in various places with varying geographic characteristics. In addition, in the same years, the performance of the chosen approach was evaluated in detail in three distinct places, and it was seen how geographical factors affected the method's performance.