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An Assessment of the Diffuse Radiation Models for Prediction on Hourly Global Radiation in Tilted Surface

DOI: http://dx.doi.org/10.14583/2318-7670.v02n01a05

http://periodicoscientificos.ufmt.br/ojs/index.php/nativa/index 

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João F. Escobedo1, Adilson P. de Souza2 & Dinival Martins1

 

Abstract: The total solar irradiation incident on a tilted surface consists in three components including: direct, diffuse and reflected from the ground. The reflected radiation has a small effect and the direct radiation can be calculated with an isotropic model. The most difficulty depends on diffuse radiation by circumsolar variations, horizontal brightness, isotropic and anisotropic subcomponents. This study evaluated the influence of diffuse radiation estimate by different models for obtaining the incident global radiation on tilted surfaces at 12.85, 22.85 and 32.85° facing to North, in hourly temporal partition, under different cloudiness sky conditions, in Botucatu, São Paulo State, Brazil (22°53′ S, 48°26′ W and 786 m above sea level). The following models were: Circumsolar [CIR], Badescu [Ba], Hay [Ha] and Ma and Iqbal [MI], that are indicated as the best models for estimating the diffuse radiation in the geographic and climatic local conditions. The increase of the inclination angle provides increased scattering between measured and estimated. The largest variations in the statistical residues were found for atmospheric transmissivity coefficients less than 0.15 and the best estimates occurred of cloudy skies due the low energy levels.

Key words: atmospheric transmissivity, statistical index, parameterized models

 

Resumo: A radiação solar incidente em planos inclinados é composta por três componentes: direta, difusa e refletida do solo. A radiação refletida apresenta um efeito pequeno e a radiação direta pode ser obtida por modelos isotrópicos. Em geral, as maiores limitações dependem da radiação difusa por variações nas subcomponentes circunsolar, brilho horizontal, isotrópicos e anisotrópicos. Este trabalho avaliou a influência do modelo de estimativa da radiação difusa na obtenção da radiação global incidente em superfícies inclinadas a 12.85º, 22,85º e 32,85° para o Norte, na partição horária, sob diferentes condições de nebulosidade, em Botucatu, SP (22° 53' S, 48° 26' W e 786 m de altitude). Foram avaliados os seguintes modelos: Circunsolar [CIR], Badescu [Ba], Hay [Ha] e Ma e Iqbal [MI], indicados como os melhores modelos para estimativa da radiação difusa nas condições geográficas e climáticas locais. O aumento da inclinação proporcionou maiores dispersões entre valores medidos e estimados da radiação global. As maiores variações nos resíduos estatísticos foram encontrados para coeficientes de transmissividade atmosférica inferiores a 0,15 e em condições de céu nublado ocorreram melhores estimativa em função dos baixos níveis energéticos.

Palavras-chave: transmissividade atmosférica, indicativos estatísticos, modelos parametrizados

 

1 Department of Natural Sciences, São Paulo State University, Botucatu, São Paulo, Brazil. E-mail: escobedo@fca.unesp.br
2 Institute of Agricultural and Environmental Sciences, Mato Grosso Federal University, Sinop, Mato Grosso, Brazil.

 

Literatura Citada

BADESCU, V. 3D isotropic approximation for solar diffuse irradiance on tilted surfaces. Renewable Energy, Oxford, v. 26, n. 2, p. 221-233, jun. 2002. doi

BADESCU, V. et al. Computing global and diffuse solar hourly irradiation on clear sky. Review and testing of 54 models. Renewable and Sustainable Energy Reviews, Golden, v. 16, n. 3, p. 1636-1656, abr. 2012.

BATLLES, F. J. et al. On shadowband correction methods for diffuse irradiance measurements. Solar Energy, Kidlinton, v. 54, n. 2, p. 105-114, fev. 1995.

BILBAO, J. et al. Iso-radiation maps for tilted surfaces in the Castile and Leon region, Spain. Energy Conversion and Management, Oxford, v. 44, n. 9, p. 1575-1588, jun. 2003. doi

BOLAND, J. et al. Models of diffuse solar radiation. Renewable Energy, Oxford, v. 33, n. 4, p. 575-584, abr. 2008. doi

CHWIEDUK, D. A. Recommendation on modeling of solar energy incident on a building envelope. Renewable Energy, Oxford, v. 34, n. 3, p. 736-741, mar. 2009. doi

CODATO, G. et al. Global and diffuse solar irradiances in urban and rural areas in Southeast Brazil. Theorical and Applied Climatology, Wien, v. 93, n. 1, p. 57-73, fev. 2008. doi

EL-SEBAII, A. A. et al. Global, direct and diffuse solar radiation on horizontal and tilted surfaces in Yeddah, Saudi Arabia. Applied Energy, London, v. 87, n. 2, p. 568-576, fev. 2010. doi

ESCOBEDO, J. F. et al. Modeling hourly and daily fractions of UV, PAT and NIR to global solar radiation under various Sky conditions at Botucatu, Brazil. Applied Energy, London, v. 86, n. 3, p. 299-309, mar. 2009. doi

EVSEEV, E. G.; KUDISH, A. I. The assessment of different models to predict the global solar radiation on a surface tilted to the south. Solar Energy, v. 83, n. 2, p. 377-388, fev. 2009. doi

FURLAN, C. et al. The role of clouds in improving the regression model for hourly values of diffuse solar radiation. Applied Energy, London, v. 92, n. 1, p. 240-254, jan. 2012. doi

HAY, J. E. Calculation of monthly mean solar radiation for horizontal and inclined surfaces. Solar Energy, Kidlinton, v. 23, n. 4, p. 301-307, abr. 1979.

IQBAL, M. An introduction to solar radiation. Canadá: Academic Press, 1983. 390 p.

KAMALI, G. A. et al. Estimating solar radiation on tilted surfaces with various orientations: a study case in Karaj (Iran). Theorical and Applied Climatolology, Wien, v. 84, n. 4, p. 235-241, mar. 2006. doi

LIU, B. Y. H.; JORDAN, R. C. Daily insolation on surfaces tilted towards the equator. Trans ASHRAE, Seattle, v. 67, n. 3, p. 526-541, 1962.

LOUTZENHISER, P. G. et al. Empirical validation of models to compute solar irradiance on inclined surfaces for building energy simulation. Solar Energy, Kidlinton, v. 81, n. 2, p. 254-267, fev. 2007.

MA, C. C. Y.; IQBAL, M. Statistical comparison of models for estimating solar radiation on inclined surfaces”. Solar Energy, Kidlinton, v. 31, n. 3, p. 313-317, mar. 1983.

MUNEER, T.; ZHANG, X. A new method for correcting shadow band diffuse irradiance data. Journal of Solar Energy Engineering, v. 124, n. 1, p. 34-43, fev. 2002. doi

NOORIAN, A. M. et al. Evaluation of 12 models to estimate hourly diffuse irradiation on inclined surfaces. Renewable Energy, Oxford, v. 33, n. 6, p. 1406-1412, jun. 2008. doi

NOTTON, G. et al. Performance evaluation of various hourly slope irradiation models using Mediterranean experimental data of Ajaccio. Energy Conversion and Management, Oxford, v. 47, n. 1, p. 147-173, jan. 2006a. doi

NOTTON, G. et al. Predicting hourly solar irradiations on inclined surfaces based on the horizontal measurements: performances of the association of well-known mathematical models. Energy conversion and Management, Oxford, v. 47, n. 13/14, p. 1816-1829, ago. 2006b.

PANDEY, C. K.; KATIYAR, A. K. A comparative study of solar irradiation models on various inclined surfaces for India. Applied Energy, London, v. 88, n. 4, p. 1455-1459, abr. 2011. doi

PANDEY, C. K.; KATIYAR, A. K. A note on diffuse solar radiation on a tilted surface. Energy, Oxford, v. 34, n. 11, p. 1764-1769, nov. 2009. doi

PEREZ, R. et al. Modelling daylight availability and irradiance components from direct and global irradiance. Solar Energy, Kidlinton, v. 44, n. 5, p. 271-289, maio 1990.

RAKOVEC, J.; ZAKŠEK, K. On the proper analytical expression for the sky-view factor and the diffuse irradiation of a slope for an isotropic sky. Renewable Energy, Oxford, v. 37, n. 1, p. 440-444, jan. 2012. doi

REINDL, D. T. et al. Evaluation of hourly tilted surface radiation models. Solar Energy, Kidlinton, v. 45, n. 1, p. 9-17, jan. 1990.

SCOLAR, J. et al. Estimativa da irradiação total sobre uma superfície inclinada a partir da irradiação global na horizontal. Revista Brasileira de Geofísica, Rio de Janeiro, v. 21, n. 3, p. 249-258, jul./set. 2003.

SOUZA, A. P. et al. Estimates of solar radiation components on a tilted surface based on global horizontal radiation. Revista Brasileira de Engenharia Agrícola e Ambiental, Campina Grande, v. 15, n. 3, p. 277-288, mar. 2011.

SOUZA, A. P.; ESCOBEDO, J. F. Estimates of hourly diffuse radiation on tilted surfaces in Southeast of Brazil. International Journal of Renewable Energy Research, Ankara, v. 3, n. 1, p. 207-221, jan./mar. 2013.

TEMPS, R. C.; COULSON, K. L. Solar radiation incident upon slopes of different orientations. Solar Energy, Kidlinton, v. 19, n. 1, p. 719-184, jan. 1977.

VIANA, T. S. et al. Assessing the potential of concentrating solar photovoltaic generation in Brazil with satellite-derived direct normal irradiation. Solar Energy, Kidlinton, v. 85, n. 3, p. 486-495, mar. 2011.

WILLMOTT, C. J. On the validation of models. Physical Geography, v. 2, n. 2, p. 184-194, jul./dez. 1981.