Modeling of the Global Solar Radiation Series as a Function of Probability Distribution
[1]
Amaury de Souza, Physics Institute, Federal University of Mato Grosso do Sul, Mato Grosso do Sul, Brazil.
[2]
Razika Ihaddadene, Department of Mechanical Engineering, Med Boudiaf University, M'Sila, Algeria.
[3]
Nabila Haddadene, Department of Mechanical Engineering, Med Boudiaf University, M'Sila, Algeria.
[4]
Pelumi Oguntunde, Department of Mathematics, Covenant University, Ota, Nigeria.
[5]
Hamilton Pavao Hamilton Pavao, Physics Institute, Federal University of Mato Grosso do Sul, Mato Grosso do Sul, Brazil.
[6]
Widinei Fernandes, Physics Institute, Federal University of Mato Grosso do Sul, Mato Grosso do Sul, Brazil.
[7]
José Francisco de Oliveira Júnior, Institute of Atmospheric Sciences, Universidade Federal de Alagoas, Maceió, Brazil.
[8]
Daniel Gomes Soares, Instituto Federal Catarinense, Rio do Sul, Santa Catarina, Brazil.
[9]
Ivana Pobocikova, Department of Applied Mathematics, University of Žilina Univerzitná 1, Žilina, Slovakia.
[10]
Marcel Carvalho Abreu, Department of Environments Science, Universidade Federal Rural do Rio de Janeiro, Rio de Janeiro, Brazil.
[11]
Cícero Manoel dos Santos, Faculty of Agronomic Engineering, Federal University of Para, Altamira, PA, Brasil.
The use of probability density functions (pdf) is directly linked to the nature of the data to which they relate. Some have good estimation capacity for small number of data, others require a large number of observations. In this study, the most probability distribution function for modeling the global solar radiation in Campo Grande, MS (Brazil) was determined. The global solar radiation data used for the analysis consists of daily average global solar radiation collected from University of Mato Grosso do Sul which span over the period of one year from January 2016 to December 2016. Various distribution functions were tested in this study and the most suitable one is determined using four different goodness of fit tests. The tested distributions used are Weibull, Rayleigh, Gamma, Lognormal, Rician and Frechet distributions. Four performance indicators; Mean Absolute Error (MAE), Root Mean Square Error (RMSE), Mean Absolute Percentage Error (MAPE) and Coefficient of Determination (R 2) were calculated to evaluate the adequacy criteria of the chosen distributions. The best distribution that fits well the global solar radiation observations in Compo Grande region was the Frechet distribution, followed by Weibull and Rician distributions. The worst distributions are given by Rayleigh and Lognormal. This paper is useful as first-hand information in the prediction of future global solar radiation for Campo Grande having known the past behavior and for fixing the missing data.
Probabilistic Distribution Function, Cumulative Distribution Function, Global Solar Radiation, Campo Grande
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