Title: Solar radiation estimation modelling through the maximum entropy principle

Authors: Atteeq Razzak; Zoobia Khalid; Shafiq Ur Rehman; Muhammad Mustaqeem Zahid; Muhammad Adeel

Addresses: Department of Mathematics, University of Karachi, Karachi, Pakistan ' Department of Mathematics, University of Karachi, Karachi, Pakistan ' Department of Physics, University of Karachi, Karachi, Pakistan ' Department of Physics, University of Karachi, Karachi, Pakistan ' Institute of Space Science and Technology, University of Karachi, Karachi, Pakistan

Abstract: Pakistan has great potential for gathering solar energy due to its geographical position. In this paper, we have estimated three types of radiation: global solar radiation, bean solar radiation, and diffused solar radiation, through the maximum entropy principle for eight cities of Pakistan, which are geographically apart at least 500 km. This principle maximises the entropy function based on some constraints. The maximum entropy principal distribution results generate the best curve representing these radiations. There are three plots for each city corresponding to three radiations for each city. The plot shows that the fitted curves are excellent and give the best knowledge about the radiations.

Keywords: solar radiations; entropy; maximum entropy principle; ASHRAE model.

DOI: 10.1504/IJEX.2024.141682

International Journal of Exergy, 2024 Vol.45 No.1/2, pp.24 - 36

Received: 14 Dec 2023
Accepted: 07 Apr 2024
Published online: 30 Sep 2024 *

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