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Advances in Energy Research Volume 8, Number 2, June 2022 , pages 95-110 DOI: https://doi.org/10.12989/eri.2022.8.2.095 |
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New approach to calculate Weibull parameters and comparison of wind potential of five cities of Pakistan |
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Ahmed Ali Rajput, Muhammad Daniyal, Muhammad Mustaqeem Zahid, Hasan Nafees, Misha Shafi, Zaheer Uddin
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| Abstract | ||
| Wind energy can be utilized for the generation of electricity, due to significant wind potential at differentparts of the world, some countries have already been generating of electricity through wind. Pakistan is still well behind and has not yet made any appreciable effort for the same. The objective of this work was to add some new strategies to calculate Weibull parameters and assess wind energy potential. A new approach calculates Weibull parameters; we also developed an alternate formula to calculate shape parameters instead of the gamma function. We obtained k (shape parameter) and c (scale parameter) for two-parameter Weibull distribution using five statistical methods for five different cities in Pakistan. Maximum likelihood method, Modified Maximum likelihood Method, Method of Moment, Energy Pattern Method, Empirical Method, and have been to calculate and differentiate the values of (shape parameter) k and (scale parameter) c. The performance of these five methods is estimated using the Goodness-of-Fit Test, including root mean square error, mean absolute bias error, mean absolute percentage error, and chi-square error. The daily 10- minute average values of wind speed data (obtained from energydata.info) of different cities of Pakistan for the year 2016 are used to estimate the Weibull parameters. The study finds that Hyderabad city has the largest wind potential than Karachi, Quetta, Lahore, and Peshawar. Hyderabad and Karachi are two possible sites where wind turbines can produce reasonable electricity. | ||
| Key Words | ||
| parameter estimation methods; statistical analysis; Weibull distribution; Weibull parameters; wind energy; wind speed | ||
| Address | ||
| Department of Physics, University of Karachi, Karachi, Pakistan. | ||
