Year 2017, Volume 38, Issue 4, Pages 68 - 76 2017-12-08

Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions
Weibull, Lognormal ve Gamma Dağılımları ile Rüzgâr Hızı Verilerinin İstatistiksel Analizi

Hayriye Esra AKYUZ [1] , Hamza GAMGAM [2]

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In this study, average wind speed data in Bitlis for the years between 2012 and 2016 is analyzed. Average wind speed estimations for these years are obtained with the Weibull, Gamma and Lognormal distributions. Maximum Likelihood method is used in parameter estimation of these distributions. It is aimed that the most fit distribution is determined with Kolmogorov-Smirnov Goodness of Fit test, coefficient of determination and root mean square error criteria. As a result of evaluating the wind speed data with the program written in MATLAB R2009a, it was determined that average wind speed estimations are similar for each distribution, but Gamma distribution has the lowest standard deviation with the average wind speed value in August (0.15 m/s). In modelling of the average wind speed data between 2012 and 2016, it was seen that Gamma distribution had higher coefficient of determination compared to the other distributions. Similarly, the lowest Kolmogorov-Smirnov Goodness of Fit test statistic and root mean square error value are obtained for Gamma distribution. As a result, it is recommended that Gamma distribution is used in modelling the wind speed data of Bitlis between 2012 and 2016.

Bu çalışmada 2012-2016 yılları arasında Bitlis’te ortalama rüzgâr hızı verileri analiz edilmiştir. Bu yıllar için ortalama rüzgâr hızı tahminleri Weibull, Gamma ve Lognormal dağılımları ile elde edilmiştir. Bu dağılımların parametre tahminlerinde En Çok Olabilirlik yöntemi kullanılmıştır. Kolmogorov-Smirnov uyum iyiliği testi, belirleme katsayısı ve hata kareler ortalamasının karekökü kriterleri ile en uygun dağılımın belirlenmesi amaçlanmıştır. MATLAB R2009a'da yazılan program ile rüzgâr hızı verilerinin değerlendirilmesi sonucunda her bir dağılım için ortalama rüzgâr hızı tahminlerinin benzer olduğu, buna karşılık Gamma dağılımının Ağustos ayına ait ortalama rüzgâr hızı değeri (0.15 m/s) ile en düşük standart sapmaya sahip olduğu belirlenmiştir. 2012-2016 yılları arasındaki ortalama rüzgâr hızı verilerinin modellenmesinde Gamma dağılımının diğer dağılımlara göre daha yüksek belirleme katsayısı değerine sahip olduğu görülmüştür. Benzer biçimde en küçük Kolmogorov-Smirnov uyum iyiliği test istatistiği ve hata kareler ortalamasının karekökü değeri Gamma dağılımı için elde edilmiştir. Sonuç olarak 2012-2016 yılları arasında Bitlis iline ait rüzgâr hızı verilerinin modellenmesinde Gamma dağılımının kullanılması önerilmektedir.

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Subjects Basic Sciences
Journal Section Natural Sciences
Authors

Author: Hayriye Esra AKYUZ (Primary Author)

Author: Hamza GAMGAM

Bibtex @research article { csj358773, journal = {Cumhuriyet Science Journal}, issn = {2587-2680}, eissn = {2587-246X}, address = {Cumhuriyet University}, year = {2017}, volume = {38}, pages = {68 - 76}, doi = {10.17776/csj.358773}, title = {Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions}, key = {cite}, author = {AKYUZ, Hayriye Esra and GAMGAM, Hamza} }
APA AKYUZ, H , GAMGAM, H . (2017). Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions. Cumhuriyet Science Journal, 38 (4), 68-76. DOI: 10.17776/csj.358773
MLA AKYUZ, H , GAMGAM, H . "Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions". Cumhuriyet Science Journal 38 (2017): 68-76 <http://dergipark.org.tr/csj/issue/32371/358773>
Chicago AKYUZ, H , GAMGAM, H . "Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions". Cumhuriyet Science Journal 38 (2017): 68-76
RIS TY - JOUR T1 - Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions AU - Hayriye Esra AKYUZ , Hamza GAMGAM Y1 - 2017 PY - 2017 N1 - doi: 10.17776/csj.358773 DO - 10.17776/csj.358773 T2 - Cumhuriyet Science Journal JF - Journal JO - JOR SP - 68 EP - 76 VL - 38 IS - 4 SN - 2587-2680-2587-246X M3 - doi: 10.17776/csj.358773 UR - https://doi.org/10.17776/csj.358773 Y2 - 2017 ER -
EndNote %0 Cumhuriyet Science Journal Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions %A Hayriye Esra AKYUZ , Hamza GAMGAM %T Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions %D 2017 %J Cumhuriyet Science Journal %P 2587-2680-2587-246X %V 38 %N 4 %R doi: 10.17776/csj.358773 %U 10.17776/csj.358773
ISNAD AKYUZ, Hayriye Esra , GAMGAM, Hamza . "Statistical Analysis of Wind Speed Data with Weibull, Lognormal and Gamma Distributions". Cumhuriyet Science Journal 38 / 4 (December 2017): 68-76. https://doi.org/10.17776/csj.358773