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

IF 1 Q3 MULTIDISCIPLINARY SCIENCES gazi university journal of science Pub Date : 2023-04-14 DOI:10.35378/gujs.1092617
Alper Kaplan
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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.
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使用最大似然法计算威布尔系数并比较各个站点的性能
本文研究了威布尔分布函数(WDF)与三地实测数据的协调性。利用最大似然法(MLM)计算Adana、Osmaniye和Hatay地区的WDF系数。本研究的主要目的之一是观察传送带在不同地点、不同平均风速下的性能变化情况。为了证明MLM的性能,对计算和测量的每小时风速数据进行了统计拟合分析。根据结果,使用均方根误差(RMSE)、决定系数(R2)和平均百分比误差(MPE)误差分析测试来评估所述方法在所有三个选定地点的性能。同时对这三个地区的风力密度进行了估计,这是估计一个地区风能潜力的最重要指标之一。估计了WDF的功率密度,并将其与三个不同地方的实测风力数据产生的实际风力密度进行了比较。在具有不同地理特征的地方,对本文所述策略的效果进行了深入的调查。此外,在同一年,在三个不同的地方对所选方法的性能进行了详细的评估,并看到了地理因素如何影响该方法的性能。
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来源期刊
gazi university journal of science
gazi university journal of science MULTIDISCIPLINARY SCIENCES-
CiteScore
1.60
自引率
11.10%
发文量
87
期刊介绍: The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.
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