Comprehensive Evaluation of the Accuracy of Seven Numerical Methods for Estimating Weibull Two-Parameter Distribution in Wind Energy Applications: A Case Study in Al-Mukha, Yemen.

Comprehensive Evaluation of the Accuracy of Seven Numerical Methods for Estimating Weibull Two-Parameter Distribution in Wind Energy Applications: A Case Study in Al-Mukha, Yemen. | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 14 March 2025 V1 Latest version Share on Comprehensive Evaluation of the Accuracy of Seven Numerical Methods for Estimating Weibull Two-Parameter Distribution in Wind Energy Applications: A Case Study in Al-Mukha, Yemen. Authors : Waleed Hasan , Ali Hassan 0000-0002-6938-7990 , and M Shukri 0000-0002-4364-1970 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174196280.04977279/v1 192 views 103 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Wind potential estimation is a crucial aspect of wind energy applications, often relying on the two-parameter ( k, c ) of the Weibull distribution (WD). By comparing the Root Mean Square Error (RMSE), chi-squared (χ 2 ), correlation coefficient (R), and determination coefficient (R 2 ), we can identify the most reliable and efficient methods for estimating these parameters and understanding the Weibull probability distribution (WPD). In this study, we selected seven methods: the Maximum Likelihood Method (MLM), the Energy Pattern Factor Method (EPFM), the L-moment Estimation Method (L-MOM), the Empirical Justus (EMJ), the Method of Moment (MOM), the Mean-standard deviation Method (MSDM), and the Curve Fitting Method (CFM) to evaluate the two-parameter of the WD. These methods were applied to the unique wind conditions of Al-Mukha City, Yemen, using the 2013 daily wind speed measured at 10 meters. The results indicate that the L-MOM represents the highest accuracy for all heights, while the EPFM represents the lowest accuracy. Furthermore, our analysis reveals that the two parameters increase with height. Supplementary Material File (comprehensive evaluation in al-mukha, yemen.docx) Download 1.56 MB Information & Authors Information Version history V1 Version 1 14 March 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords estimation methods performance al-mukha statistical indicator weibull parameter wind speed yemen Authors Affiliations Waleed Hasan Sana'a University Physics Department View all articles by this author Ali Hassan 0000-0002-6938-7990 Amran University View all articles by this author M Shukri 0000-0002-4364-1970 [email protected] Sana'a University Physics Department View all articles by this author Metrics & Citations Metrics Article Usage 192 views 103 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Waleed Hasan, Ali Hassan, M Shukri. Comprehensive Evaluation of the Accuracy of Seven Numerical Methods for Estimating Weibull Two-Parameter Distribution in Wind Energy Applications: A Case Study in Al-Mukha, Yemen.. Authorea . 14 March 2025. DOI: https://doi.org/10.22541/au.174196280.04977279/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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