Clear Sky Global Surface Solar Irradiance Estimation from Bird & Hulstrom Radiometric Model/MODIS Atmospheric Data Combination
Main Article Content
Abstract
Estimation of solar irradiance received on the ground is essential in many solar energy applications, particularly those relying on concentrating solar technologies. In this work, we propose a model to estimate the spatial distribution of global Surface Solar Irradiance (SSI) from a Bird & Hulstrom radiometric model/MODIS atmospheric data combination. The theoretical model selected is the radiometric model of Bird & Hulstrom, and it has been modified to take into account the effect of the atmosphere by adding a transmittance function that obeys the Beer-Lambert law, implemented with atmospheric parameters (water vapor, ozone, aerosols, etc.) from the Moderate Resolution Imaging Spectroradiometer (MODIS) atmospheric products. The effectiveness of the proposed methodology is tested on the Algerian territory. The obtained results show that the proposed approach concurs with results provided by the tested Meteosat data-based method while providing SSI maps of better spatial resolution. Moreover, the obtained solar irradiances show a root mean square error of about 140 Wh.m-2 in comparison with the Copernicus Atmosphere Monitoring Service (CAMS) radiation extracted from the Solar Radiation Database for the environment (SoDa) server.
Article Details
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
-
ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
References
Huang G, Li Z, Li X, Liang S, Yang K, Wang D, Zhang Y: Estimating Surface Solar Irradiance from Satellites: Past, Present, and Future Perspectives. Remote Sens. Environ. 2019; 233: 111371. https://doi.org/10.1016/j.rse.2019.111371.
Richard E. Bird, Roland L. Hulstrom. A simplified clear sky model for direct and diffuse insolation on horizontal surfaces. Prepared for the U. S. Department of Energy. SERI/TR – 642 – 761. February 1981.
LAADS DAACS Homepage, https://ladsweb.modaps.eosdis.nasa.gov. [Accessed December 2020].
Atmosphere Discipline Team Imager Products. http://modis.gsfc.nasa.gov/. [Accessed Avril 2021].
SoDa (Solar radiation Database for the environment) server, CAMS radiation service v2.7. Available from: www.soda-is.com [Accessed 2023-05-24].
C. Rigollier, M. Lefèvre, L. Wald, “The Method Heliosat-2 for Deriving Shortwave Solar Radiation from Satellite Images,” Solar Energy, Elsevier, 77 (2), pp.159-169 (2004).
D. Cano, J.-M. Monget, M. Albuisson, H. Guillard, N. Regas, L. Wald, “A method for the determination of the global solar radiation from meteorological satellite data,” Solar Energy, 37, 31-39 (1986).
M. Mesri-Merad, I. Rougab, A. Cheknane et N.I. Bachari. Revue des Energies Renouvelables Vol. 15 N°3 (2012) 451 – 463.
Richard E. Bird, Carol. Riordan. Simple Solar Spectral Model, for Direct and Diffuse Irradiance on Horizontal and Tilted Planes, at the Earth's Surface for Cloudless Atmospheres. Solar Energy Research Institute, Golden, CO 80401. American Meteorological Society, January 1986.
R. J. Stone, “Improved Statistical Procedure for the Evaluation of Solar Radiation Estimation Models,” Sol. Energy, 51 (4), pp. 289-291 (1993).
J. Almorox, G. Ovandob, S. Sayagob, M. Boccob, “Assessment of Surface Solar Irradiance Retrieved by CERES,” Int. J. Remote Sens. 38(12), pp. 3669–3683 (2017) [http://dx.doi.org/10.1080/01431161.2017.1302111].
QGIS Documentation v: 3.22. Available from, https://docs.qgis.org/3.22/en/docs/gentle_gis_introduction/spatial_analysis_interpolation.html [Accessed 2022-08-10].
Cappelen J, Jensen J J. Earth's climate - Guide to weather and climate in 156 countries (updated). Technical Report (online). Danish Meteorological Institute, Ministry of Traffic, Copenhagen, Denmark; 2001, 347 p. ISBN 87-7478-293-2.