An optimal approach of wind power assessment using Chebyshev metric for determining the Weibull distribution parameters. (February 2020)

• Record Type: Journal Article
• Authors: Saeed, Muhammad Abid; Ahmed, Zahoor; Yang, Jian; Zhang, Weidong
• Is Part Of: Sustainable energy technologies and assessments. Volume 37(2020)
• Publication Date: 2020-02
• Subjects: Weibull distribution -- Energy assessment -- Optimization algorithm -- Numerical methods -- Chebyshev metric; Renewable energy sources -- Periodicals; Energy development -- Technological innovations -- Periodicals; Electric power production -- Periodicals; Energy storage -- Periodicals; 333.79
• DOI: 10.1016/j.seta.2019.100612
• Languages: English
• ISSNs: 2213-1388

Abstract

Highlights: A new criterion is proposed for Weibull parameter estimation using Chebyshev metric. The proposed criterion guarantees convergence of Artificial Intelligence optimization algorithm in all cases of Weibull parameter estimation. A new fitness-criterion is defined to determine the best fitting method for Weibull distribution. Results show that the proposed method performs better than numerical methods. Gamesa G136 is found to be the best turbine for the targeted site with Annual energy production of 23, 532 MWh/m 2 . Abstract: Statistical distribution methods have been used to estimate the wind power potential (WPP) at several locations globally. Although two-parameter Weibull distribution (WD) is considered to be the most appropriate method for wind data representation, the accuracy of the numerical methods used for Weibull parameter estimation (WPE) is still inconsistent. In this context, artificial intelligence (AI) optimization techniques can be a useful tool for achieving high accuracy; however, the conventional approaches do not guarantee convergence in the case of Weibull parameters. In this work, an AI optimization approach is proposed based on the Chebyshev metric. It has been mathematically proved that the proposed method guarantees convergence in all cases of WPE. Weibull Fitness tests are computed using real-time wind data obtained from a site located near the coastal region of Pakistan. Results show that the proposed approach offers more accuracy than the numerical methods used for WPE. Furthermore, a brief cost analysis illustrates that the considered site is appropriate for wind power production.