ABSTRACT The meteorological data concerning solar radiation are generally not sufficient to allow quantifying all the phenomena which occur when a photovoltaic panel receives solar light. It is therefore, necessary to supplement these data by using astronomical calculation for the sun position and modelling the atmosphere. A simple method to calculate global, diffuse and direct irradiance on vertical and tilted surfaces for all uniform sky conditions (clear sky and overcast sky), developed in Constantine (Algeria) and Louvain-la-neuve (Belgium), has been compared with experimental data obtained at Ghardaia (Algeria). In spite of its simplicity, the method furnishes reasonably good predictions, in comparison with experimental data, and can be proposed as a simpli?ed tool for design purposes. This method relies on the fact that we can calculate the irradiance on a plane with arbitrary orientation and inclination, based on the measurement of a single irradiance value on a reference plane.
Cite this paper
nullR. Chenni, E. Matagne and M. Khennane, "Study of Solar Radiation in View of Photovoltaic Systems Optimization," Smart Grid and Renewable Energy, Vol. 2 No. 4, 2011, pp. 367-374. doi: 10.4236/sgre.2011.24042.
 C. L. Cheng and C. Y. Chan, “An Empirical Approach to Estimating Monthly Radiation on South-Facing Tilted Planes for Building Application,” Energy, Vol. 31, No. 14, 2006, pp. 2940-2957. doi:10.1016/j.energy.2005.11.015
 S. Burlon, S. Bivona and C. Leone, “Instantaneous Hourly and Daily Radiation on Tilted Surfaces,” Solar Energy, Vol. 47, No. 2, 1991, pp. 83-89.
 R. Perez, P. Ineichen and R. Seals, “Modelling Daylight Availability and Irradiance Components from Direct and Global Irradiance,” Solar Energy, Vol. 44, No. 5, 1990, pp. 271-289. doi:10.1016/0038-092X(90)90055-H
 R. Perez, R. Seals, P. Ineichen, P. Stewart and D. Menicucci, “A New Simpli?ed Version of the Perez Diffuse Irradiance Model for Tilted Surfaces,” Solar Energy, Vol. 39, No. 3, 1987, pp. 221-223.
 R. Perez, R. Stewart, C. Arbogast, R. Seals and J. Scott, “An Anisotropic Hourly Diffuse Radiation Model for Sloping Surfaces, Description, Performance Validation, Site Dependency Evaluation,” Solar Energy, Vol. 36, No. 6, 1986, pp. 481-497. doi:10.1016/0038-092X(86)90013-7
 D. H. W. Li and J. C. Lam, “Evaluation of Slope Irradiance and Illuminance Models Against Measured Hong Kong Data,” Build Environ, Vol. 35, No. 6, 2000, pp. 501-509. doi:10.1016/S0360-1323(99)00043-8
 T. M. Klucher, “Evaluation of Models to Predict Insolation on Tilted Surfaces,” Solar Energy, Vol. 23, No. 2, 1979, pp. 111-114. doi:10.1016/0038-092X(79)90110-5
 J. E. Hay, “Calculation of Monthly Mean Solar Radiation for Horizontal and Inclined Surfaces,” Solar Energy, Vol. 23, No. 4, 1979, pp. 301-30.
 G. A. Kamali, I. Moradi and A. Khalili, “Estimating Solar Radiation on Tilted Surfaces with Various Orientations: A Study Case in Karaj (Iran),” Theoretical and Applied Climatology, Vol. 84, No. 4, 2006, pp. 235-241.
 D. T. Reindl, W. A. Beckman and J. A. Duf?e, “Evaluation of Hourly Tilted Surface Radiation Models,” Solar Energy, Vol. 45, No. 1, 1990, pp. 9-17.
 G. Notton, P. Poggi and C. Cristofari, “Predicting Hourly Solar Irradiations on Inclined Surfaces Based on the Horizontal Measurements: Performances of the Association of Well-Known Mathematical Models,” Energy Con- vers Manage, Vol. 47, No. 13-14, 2006, pp. 1816-1829.
 F. Kasten and A. T. Young, “Revised Optical Air Mass Tables and Approximation Formula,” Applied Optics, Vol. 28, No. 22, 1989, pp. 4735-4738.
 M. Capderou, “Atlas Solaire De L’Algerie, Office Des Publications Universitaires,” University Publications Office, Algiers, 1988.
 Q. Wang, “Estimation of Total, Direct and Diffuse PAR under Clear Skies in Complex Alpine Terrain of the National Park Berchtesgaden Germany,” Ecological Modelling, Vol. 196, No. 1-2, 2006, pp. 149-162.
 B. Y. H. Liu and R. C. Jordan, “The Interrelationship and Characteristic Distribution of direct, Diffuse and total Radiation,” Solar Energy, Vol. 4, No. 3, July 1960, pp. 1-19. doi:10.1016/0038-092X(60)90062-1
 S. A. Klein, “Calculation of Monthly Average Insolations on Tilted Surfaces,” Solar Energy, Vol. 19, No. 4, 1977, pp. 325-329. doi:10.1016/0038-092X(77)90001-9