A further comparison and discussion of sunshine-based models to estimate global solar radiation

Akinoglu, Bülent G.; Ecevit, A.

doi:10.1016/0360-5442(90)90068-d

Cited by 91 publications

(45 citation statements)

References 24 publications

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“…Akinoglu and Ecevit obtained a second order polynomial equation for Turkey [17], the correlation is given in Eq. 6 between (H/H0) and (S/S0): (6) Moreover, the average quadratic equation of the model (Eq.…”

Section: Resultsmentioning

confidence: 99%

Estimation of Solar Radiation Model Using Measured Data in a Specific Region

Yanıktepe¹,

Kara²,

Özalp³

2017

RAD Conference Proceedings

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Section: Resultsmentioning

confidence: 99%

Estimation of Solar Radiation Model Using Measured Data in a Specific Region

Yanıktepe¹,

Kara²,

Özalp³

2017

RAD Conference Proceedings

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“…The second model is the Akinoglu and Ecevit regression model, which is a correlation between K T and R S in a second-order (quadratic) polynomial [11]. Samuel suggested the third regression model, which represents a third-order correlation [12].…”

Section: Methodsmentioning

confidence: 99%

Prediction of Global Solar Radiation in Abu Dhabi

Assi

Jama

Al-Shamisi

2012

ISRN Renewable Energy

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Mathematical expressions have been employed to estimate global solar radiation on horizontal from relative sunshine duration for two weather stations in the United Arab Emirates (UAE), which are Abu Dhabi and Al Ain. These expressions include the original Angstrom-Prescott regression function (linear), quadratic function, third-order function, single-term exponential function, power function, logarithmic, and linear-logarithmic function. The predicted values were compared to the measured values using number of statistical methods to validate the goodness of the fits, such as residual analysis and goodness of fit statistics. All the used mathematical models performed generally well in both cities of Abu Dhabi and Al Ain, with all values of the coefficient of determination (R 2 ) higher than 75%. Specifically, the linear Angstrom-Prescott model estimated the average monthly global radiation on horizontal best for the city of Abu Dhabi, providing the second lowest mean absolute percentage error (MAPE) of 1.89% and the highest value of R 2 , which is approximately 94%, while the third-order model proved to be the best estimator for the city of Al Ain, providing the lowest MAPE value (3.06%) and a corresponding R 2 of 83%.

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“…Model reference Type Equation (Podesta, 2004) Linear y= b 1 +b 2 * x (Akinoglu & Ecevit, 1990) Quadratic y= b 1 +b 2 * x+b 3 * x 2 (Samuel, 1991) Cubic y= b 1 +b 2 * x+b 3 * x 2 +b 4 * x 3 (Ampratwum & Dorvlo, 1999) Logarithmic y= b 1 + b 2 *log( x) (Newland, 1988) Log-Linear y= b 1 + b 2 * x+ b 3 *log( x) (Elagib & Monsell, 2000) Exponential y= b 1 * exp(b 2 *x) …”

Section: Extra-terrestrial Radiation Parametersmentioning

confidence: 99%

“…This is due to the dynamic nature of MATLAB and its rich toolboxes that cover almost every aspect of mathematical and statistical engineering applications. Numerous authors (Abdalla & Feregh, 1988;Akinoglu & Ecevit, 1990;Al Mahdi et al, 1992;Ampratwum & Drovlo, 1999;Elagib & Mansell, 2000;Khalil & Alnajjar, 1995;Menges et al, 2006;Newland, 1988;Podesta' et al, 2004;Sahin, 2007;Samuel, 1991;Ulgen & Hepbasli, 2002) to count few developed empirical regression models to predict the monthly average daily global solar radiation (GSR) in their region using various parameters. The mean daily sunshine duration was the most commonly used and available parameter.…”

Section: Introductionmentioning

confidence: 99%