Wind and Structures

Techno-Press (테크노프레스)
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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)
  • Received : 2018.07.19
  • Accepted : 2020.11.20
  • Published : 2020.11.25
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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

Acknowledgement

This research is supported by Modelling and simulation laboratory of Nano Science and Technology and Research Centre of Sri Ramakrishna Engineering College, Coimbatore, India.

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