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Advances in Energy Research
  Volume 8, Number 2, June 2022 , pages 111-123
DOI: https://doi.org/10.12989/eri.2022.8.2.111
 
 open access

New mathematical approach to determine solar radiation for the southwestern coastline of Pakistan
Atteeq Razzak, Zaheer Uddin and M. Jawed Iqbal

 
Abstract
    Solar Energy is the energy of solar radiation carried by them in the form of heat and light. It can be converted into electricity. Solar potential depends on the site's atmosphere; the solar energy distribution depends on many factors, e.g., turbidity, cloud types, pollution levels, solar altitude, etc. We estimated solar radiation with the help of the Ashrae clear-sky model for three locations in Pakistan, namely Pasni, Gwadar, and Jiwani. As these locations are close to each other as compared to the distance between the sun and earth, therefore a slight change of latitude and longitude does not make any difference in the calculation of direct beam solar radiation (BSR), diffuse solar radiation (DSR), and global solar radiation (GSR). A modified formula for declination angle is also developed and presented. We also created two different models for Ashrae constants. The values of these constants are compared with the standard Ashrae Model. A good agreement is observed when we used these constants to calculate BSR, DSR, GSR, the Root mean square error (RMSE), Mean Absolute error (MABE), Mean Absolute percent error (MAPE), and chisquare (χ2) values are in acceptance range, indicating the validity of the models.
 
Key Words
    Ashrae constants; Ashrae model; global; hourly and diffused solar radiation; mathematical modeling; solar radiation
 
Address
(1) Atteeq Razzak:
Department of Mathematics, University of Karachi, Pakistan;
(2) Zaheer Uddin:
Department of Physics, University of Karachi, Pakistan;
(3) M. Jawed Iqbal:
Institute of Space Science & Technology, University of Karachi, Pakistan.
 

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