Technical Brief

Estimation and Applications of Clear Sky Global Horizontal Irradiance at the Equator

[+] Author and Article Information
Dazhi Yang

Solar Energy Research Institute of Singapore (SERIS),
National University of Singapore,
117574, Singapore
e-mail: seryangd@nus.edu.sg

Wilfred M. Walsh

Solar Energy Research Institute of Singapore (SERIS),
National University of Singapore,
117574, Singapore
e-mail: wwalsh@nus.edu.sg

Panida Jirutitijaroen

Assistant Professor
Department of Electrical and Computer Engineering,
National University of Singapore,
117583, Singapore
e-mail: elejp@nus.edu.sg

1Corresponding author.

Contributed by the Solar Energy Division of ASME for publication in the JOURNAL OF SOLAR ENERGY ENGINEERING. Manuscript received October 1, 2012; final manuscript received March 10, 2014; published online May 2, 2014. Assoc. Editor: Philippe Blanc.

J. Sol. Energy Eng 136(3), 034505 (May 02, 2014) (4 pages) Paper No: SOL-12-1258; doi: 10.1115/1.4027263 History: Received October 01, 2012; Revised March 10, 2014

We analyze Singapore global horizontal irradiance (GHI) measurements and propose a clear sky GHI model for equatorial regions. The empirical formulation simplifies the atmosphere radiative transfer to a single exponential term. The results are benchmarked using locally collected data. Two applications of the clear sky model are briefly discussed.

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Ineichen, P., 2008, “A Broadband Simplified Version of the Solis Clear Sky Model,” Sol. Energy, 82, pp. 758–762. [CrossRef]
Haurwitz, B., 1945, “Insolation in Relation to Cloudiness and Cloud Density,” J. Meteorol., 2, pp. 154–164. [CrossRef]
Haurwitz, B., 1946, “Insolation in Relation to Cloud Type,” J. Meteorol., 3, pp. 123–124. [CrossRef]
Ianetz, A., and Kudish, A., 2008, “A Method for Determining the Solar Global and Defining the Diffuse and Beam Irradiation on a Clear Day,” Modeling Solar Radiation at the Earth's Surface, V.Badescu, ed., Springer-Verlag, Berlin, pp. 93–113.
Kasten, F., and Czeplak, G., 1980, “Solar and Terrestrial Radiation Dependent on the Amount and Type of Clouds,” Sol. Energy, 24, pp. 177–189. [CrossRef]
Robledo, L., and Soler, A., 2000, “Luminous Efficacy of Global Solar Radiation for Clear Skies,” Energy Convers. Manage., 41, pp. 1769–1779. [CrossRef]
Bird, R. E., and Hulstrom, R. L., 1980, “Direct Isolation Models,” Technical Report No. SERI/TR-335-344.
Ineichen, P., and Perez, R., 2002, “A New Air Mass Independent Formulation for the Linke Turbidity Coefficient,” Sol. Energy, 73, pp. 151–157. [CrossRef]
Gueymard, C., 1989, “A Two-Band Model for the Calculation of Clear Sky Solar Irradiance, Illuminance and Photosynthetically Active Radiation at the Earth Surface,” Sol. Energy, 43, pp. 252–265. [CrossRef]
Yang, K., Huang, G. W., and Tamai, N., 2001, “A Hybrid Model for Estimating Global Solar Radiation,” Sol. Energy, 70, pp. 13–22. [CrossRef]
Badescu, V., 1997, “Verification of Some Very Simple Clear and Cloudy Sky Models to Evaluate Global Solar Irradiance,” Sol. Energy, 61, pp. 251–264. [CrossRef]
Ineichen, P., 2006, “Comparison of Eight Clear Sky Broadband Models Against 16 Independent Data Banks,” Sol. Energy, 80, pp. 468–478. [CrossRef]
Ianetz, A., Lyubansky, V., Setter, I., Kriheli, B., Evseev, E. G., and Kudish, A. I., 2007, “Intercomparison of Different Models for Estimating Clear Sky Solar Global Radiation for the Negev Region of Israel,” Energy Convers. Manage., 48, pp. 259–268. [CrossRef]
Lefèvre, M., Oumbe, A., Blanc, P., Espinar, B., Gschwind, B., Qu, Z., Wald, L.,Schroedter-Homscheidt, M., Hoyer-Klick, C., Arola, A., Benedetti, A., Kaiser, J. W., and Morcrette, J.-J., 2013, “Mcclear: A New Model Estimating Downwelling Solar Radiation at Ground Level in Clear-Sky Conditions,” Atmos. Meas. Tech., 6(9), pp. 2403–2418. [CrossRef]
Yang, D., Dong, Z., Reindl, T., Jirutitijaroen, P., and Walsh, W. M., 2014, “Solar Irradiance Forecasting Using Spatio-Temporal Empirical Kriging and Vector Autoregressive Models With Parameter Shrinkage,” Sol. Energy (in press).
Dong, Z., Yang, D., Reindl, T., and Walsh, W. M., 2014, “Satellite Image Analysis and a Hybrid ESSS/ANN Model to Forecast Solar Irradiance in the Tropics,” Energy Convers. Manage., 79, pp. 66–73. [CrossRef]
Yang, D., Gu, C., Dong, Z., Jirutitijaroen, P., Chen, N., and Walsh, W. M., 2013, “Solar Irradiance Forecasting Using Spatial-Temporal Covariance structures and Time-Forward Kriging,” Renewable Energy, 60, pp. 235–245. [CrossRef]
Yang, D., Dong, Z., Nobre, A., Khoo, Y. S., Jirutitijaroen, P., and Walsh, W. M., 2013, “Evaluation of Transposition and Decomposition Models for Converting Global Solar Irradiance From Tilted Surface to Horizontal in Tropical Regions,” Sol. Energy, 97, pp. 369–387. [CrossRef]
Janjai, S., Sricharoen, K., and Pattarapanitchai, S., 2011, “Semi-Empirical Models for the Estimation of Clear Sky Solar Global and Direct Normal Irradiances in the Tropics,” Appl. Energy, 88, pp. 4749–4755. [CrossRef]
Gueymard, C., 2009, “Monthly Average Clear-Sky Broadband Irradiance Database for Worldwide Solar Heat Gain and Building Cooling Load Calculations,” Sol. Energy, 83, pp. 1998–2018. [CrossRef]
Gueymard, C. A., 2012, “Clear-Sky Irradiance Predictions for Solar Resource Mapping and Large-Scale Applications: Improved Validation Methodology and Detailed Performance Analysis of 18 Broadband Radiative Models,” Sol. Energy, 86(8), pp. 2145–2169. [CrossRef]
Perez, R., Ineichen, P., Seals, R., Michalsky, J., and Stewart, R., 1990, “Modeling Daylight Availability and Irradiance Components From Direct and Global Irradiance,” Sol. Energy, 44(5), pp. 271–289. [CrossRef]
Pattanasethanon, S., Lertsatitthanakorn, C., Atthajariyakul, S., and Soponronnarit, S., 2007, “All Sky Modeling Daylight Availability and Illuminance/Irradiance on Horizontal Plane for Mahasarakham, Thailand,” Energy Convers. Manage., 48(5), pp. 1601–1614. [CrossRef]
Perez, R., Seals, R., and Michalsky, J., 1993, “All-Weather Model for Sky Luminance Distribution, Preliminary Configuration and Validation,” Sol. Energy, 50(3), pp. 235–245. [CrossRef]
Lave, M., and Kleissl, J., 2010, “Solar Variability of Four Sites Across the State of Colorado,” Renewable Energy, 35, pp. 2867–2873. [CrossRef]
Box, G. E. P., Jenkins, G. M., and Reinsel, G. C., 1994, Time Series Analysis: Forecasting and Control, Prentice Hall, Inc., Englewood Cliffs, New Jersey.
Dong, Z., Yang, D., Reindl, T., and Walsh, W. M., 2013, “Short-Term Solar Irradiance Forecasting Using Exponential Smoothing State Space Model,” Energy, 55, pp. 1104–1113. [CrossRef]
Yang, D., Jirutitijaroen, P., and Walsh, W. M., 2012, “Hourly Solar Irradiance Time Series Forecasting Using Cloud Cover Index,” Sol. Energy, 86(12), pp. 3531–3543. [CrossRef]
Wu, J., and Chan, C. K., 2011, “Prediction of Hourly Solar Radiation Using a Novel Hybrid Model of ARMA and TDNN,” Sol. Energy, 85, pp. 808–817. [CrossRef]
Dickey, D. A., and Fuller, W. A., 1981, “Likelihood Ratio Statistics for Autoregressive Time Series With a Unit Root,” Econometrica, 49, pp. 1057–1072. [CrossRef]
Haslett, J., and Raftery, A. E., 1989, “Space-Time Modelling With Long-Memory Dependence: Assessing Ireland's Wind Power Resource,” J. R. Stat. Soc. Ser. C, 38(1), pp. 1–50.


Grahic Jump Location
Fig. 2

Performance of the modified clear sky model on 11 best clear sky ds during years 2011 to 2013 benchmarked with 5 min SERIS data. The dotted line gives the maximum value of modeled clear sky GHI.

Grahic Jump Location
Fig. 1

Performance of the modified clear sky model for all clear sky situations at SERIS during year 2012. A root-mean-square error of 41.9 W/m2 is found.




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