Rüzgar Hızı Değerlendirmesinde İki Parametreli Weibull Dağılımı İçin Üç Parametre Tahmin Metodunun Karşılaştırmalı Performans Analizi

Year 2021, Volume: 14 Issue: 2, 550 - 559, 31.08.2021

Ahmet Emre Onay Emrah Dokur Mehmet Kurban

https://doi.org/10.18185/erzifbed.869355

Abstract

İki parametreli Weibull dağılımı rüzgâr hızı tahmininde yaygın bir şekilde kullanılmaktadır. Bu çalışmada, iki parametreli Weibull dağılımı için yakın zamanda önerilmiş belirli parametre tahmin metotları, Türkiye’nin iki ilinin rüzgâr verileri kullanılarak karşılaştırılmıştır. Bu çalışmada kullanılan metotlar; Rüzgâr Enerjisi Yoğunlaştırma metodu (WEIM), Enerji Örüntü Faktörü metodu (EPFM) ve Güç Yoğunluğu metodudur (PD). Bu metotların olasılık-yoğunluk grafiğindeki uyumları karşılaştırılmıştır. Ayrıca, bu metotların, rüzgâr enerjisini tahmin etmedeki performansları da karşılaştırılmıştır. Son olarak, belirtilen performans kriterleri kullanılarak bir karşılaştırma yapılmıştır; Rüzgâr Enerji Hatası (WEE), Ortalama Karekök Hatası (RMSE), Belirleme Katsayısı (R2). Sonuç olarak, EPFM ve PD metotları grafik üzerinde oldukça yakın bir uyum gösterirken, rüzgâr enerji yoğunluklarını hesaplamada PD metodu önemli bir fark göstermiştir. Ayrıca, hata performansları incelendikten sonra, istenen sonuçlara EPFM tarafından ulaşıldığı görülmüştür. Sonuç olarak, bu çalışmada istenen sonuca yakın değerler veren metodun Enerji Örüntü Faktörü metodu olduğu görülmüştür.

Keywords

Rüzgâr enerjisi, Parametre tahmini, Weibull Dağılımı, EPFM, PD, WEIM

Comparative Performance Analysis of Three Parameter Estimation Methods for Two Parameter Weibull Distribution in Wind Speed Assessment

Abstract

The two-parameter Weibull distribution is widely used in the estimation of wind speed. In this paper, some recently proposed parameter estimation methods for the two parameter Weibull distribution have been compared using the wind data from two cities in Turkey. The compared methods in this paper are Wind Energy Intensification Method (WEIM), Energy Pattern Factor Method (EPFM), and Power Density Method (PD). These methods have been compared by checking the fit have provided in the probability-density graph. The comparison has also been made by comparing of efficiencies these methods in predicting wind energy density. Lastly, a comparison has been investigated by using the following performance criteria; Wind Energy Error (WEE), Root Mean Square Error (RMSE), Coefficient of Determination (R2), and the results of error analysis have been compared. According to simulation results, while the EPFM and PD methods have shown a very close fit on the graph; when it comes to calculating wind energy densities, the PD method has shown a significant advantage over other methods. Finally, after the examination of error criteria, it was clear that EPFM has shown accurate performance which is the desired result. The main conclusion is that the accurate method for these selected regions is the EPFM.

Keywords

Wind energy, Parameter estimation, Weibull distribution, EPFM, PD, WEIM

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