Köse, BayramTelkenaroğlu, Bekir CanDemirtürk, Bahar2025-03-202025-03-2020241300-3615https://doi.org/10.47480/isibted.1494029https://search.trdizin.gov.tr/tr/yayin/detay/1240812https://hdl.handle.net/20.500.14034/2201In this work, the k and c parameters of the Weibull probability distribution function, which is generally used in the feasibility and efficiency studies of wind energy and preferred in electrical energy production, were estimated by Simulated Annealing Algorithm (SA) and Generalized Reduced Gradient Algorithm (GRG). AFunction parameters were also estimated by classical numerical methods, Least Squares Method(LMS), AJustus Empirical Moment Method(EMJ) and Lysen Empirical Moment Method(EML). When comparing the results, the coefficient of determination, the root mean square error (RMSE) and the chi-square distribution criteria(x(2)) Awere used. Wind speed frequency distributions were calculated with the estimated shape and scale parameter and compared with the measurement results. Consequently, better results can be seen from GRG algorithm than the classical numerical methods with coefficient of value of 0.0182 RMSE, determination of 0.8473, and the value x(2) of 0.0079 for Loras and with coefficient of value of 0.0066 RMSE, determination of 0.9793, and the value of 0.0011 fortrinfo:eu-repo/semantics/openAccessRenewable Energy SourcesWeibull distribution parametersSimulated Annealing AlgorithmGeneralized Reduced Gradient AlgorithmClassical Numerical MethodsWind Energy PotentialComparative analysis of mathematics, statistics and physics based algorithms for obtaining optimum weibull probability distribution parameters for power density estimation in wind energy : Loras and Foca examplesArticle10.47480/isibted.14940294414758Q4WOS:0013462793000042-s2.0-852053066151240812Q4