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http://dx.doi.org/10.12989/was.2020.31.5.419

Mathematical representation to assess the wind resource by three parameter Weibull distribution  

Sukkiramathi, K. (Department of Mathematics, Sri Ramakrishna Engineering College)
Rajkumar, R. (Department of Mathematics, Kumaraguru college of Technology)
Seshaiah, C.V. (Department of Basic Science and Humanities, GMR Institute of technology)
Publication Information
Wind and Structures / v.31, no.5, 2020 , pp. 419-430 More about this Journal
Abstract
Weibull distribution is a conspicuous distribution known for its accuracy and its usage for wind energy analysis. The two and three parameter Weibull distributions are adopted in this study to fit wind speed data. The daily mean wind speed data of Ennore, Tamil Nadu, India has been used to validate the procedure. The parameters are estimated using maximum likelihood method, least square method and moment method. Four statistical tests namely Root mean square error, R2 test, Kolmogorov-Smirnov test and Anderson-Darling test are employed to inspect the fitness of Weibull probability density functions. The value of shape factor, scale factor, wind speed and wind power are determined at a height of 100m using extrapolation of numerical equations. Also, the value of capacity factor is calculated mathematically. This study provides a way to evaluate feasible locations for wind energy assessment, which can be used at any windy site throughout the world.
Keywords
three parameter Weibull distribution; estimation of Weibull parameters; statistical tests; capacity factor; extrapolation; wind power density;
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Times Cited By KSCI : 6  (Citation Analysis)
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