Solar Radiation Models for the City of Tirana, Albania
Abstract
Mathematical models for evaluating the solar radiation potential are not available for every country or specific sites. In this paper, different solar radiation models (linear, exponential, power) for the city of Tirana-Albania, are built and tested. These models are used to estimate the monthly average total solar radiation on horizontal surface, based on measured data. Measured data include solar radiation on horizontal surface and sunshine duration data, which are used for the development of the models. Calculated and measured values are compared and evaluated by using statistical test methods. Calculated values obtained from the proposed solar radiation models show a good agreement with the measurements. In the best solar radiation model, the percentage error is emax=3.452%, MBE=-0.001465kWh/(m2·day), MPE=-0.015%, RMSE=0.074kWh/(m2·day), and R2=0.998.
Â
Keywords
Full Text:
PDFReferences
Albania’s Second National Communication to the Conference of Parties under the United Nations Framework Convention on Climate Change. Tirana, 2009. Available at:
http://unfccc.int/resource/docs/natc/albnc2.pdf
Renewable energies in Albania-Solar energy, Table 1. Accessed on April 2013. Available at:
http://www.akbn.gov.al/images/pdf/energji-te-rinovueshme/Energjia_Diellore.pdf.
Tirana: Albania, Geographical names. Accessed on April 2013. Available at:
http://www.geographic.org/geographic_names/name.php?uni=-168608&fid=283
J. A. Duffie and W. A. Beckman, Solar engineering of thermal processes, 4-th ed., John Wiley & Sons, New Jersey, 2013.
Wetter. Klimadatenbank wetterstation Tirana. Accessed on March 2013. Available at:
http://at.wetter.com/reise/laenderinfos/klimadatenbank/?continent=EU&country=EUAL&station=ALXXX0004.
S. A. Klein, “Calculation of monthly average insolation on tilted surfacesâ€, Solar Energy, vol. 19, no. 4, pp. 325÷329, 1977.
M. P. Thekaekara, “Solar Radiation Measurement: Techniques and Instrumentationâ€, Solar Energy, vol. 18, no. 4, pp. 309÷325, 1976.
ASTM- American Society for Testing and Materials. E490-00a. Standard Solar Constant and Zero Air Mass Solar Spectral Irradiance Tables, 2006.
NASA- National Aeronautics and Space Administration. Solar Electromagnetic Radiation. NASA SP-8055, 1971.
R. Lazzarin, Sistemi solari attivi, Franco Muzzio & C., Padova, 1981.
P. I. Cooper, “The absorption of solar radiation in solar stillsâ€, Solar Energy, vol. 12, no. 3, pp. 333÷345, 1969.
A. Ã…ngström, “Solar terrestrial radiationâ€, Quarterly Journal of the Royal Meteorological Society, vol. 50, no. 210, pp. 121÷126, 1924.
D. V. Hoyt, “Percent of possible sunshine and total cloud coverâ€, Monthly Weather Review, vol. 105, no. 5, pp 648÷652, 1977.
B. Y. H. Liu and R. C. Jordan, “The interrelationship and characteristic distribution of direct, diffuse and total solar radiationâ€, Solar Energy, vol. 4, no. 3, pp. 1÷19, 1960.
J. K. Page, “The estimation of monthly mean values of daily total short-wave radiation of vertical and inclined surfaces from sunshine records for latitudes 40°N–40°Sâ€. in: Proceedings of the UN Conference on New Sources of Energy- Rome 1961, vol. 4-I, pp. 378÷390, 1964.
J. A. Prescott, “Evaporation from a water surface in relation to solar radiationâ€. Transactions of the Royal Society of South Australia, vol. 64, pp. 114÷118, 1940.
M. R. Rietveld, “A new method for estimating the regression coefficients in the formula relating solar radiation to sunshineâ€. Agriculural Meteorology, vol. 19, no. 2&3, p. 243÷252, 1978.
R. B. Benson, M. V. Paris, J. E. Sherry, and C. G. Justus, “Estimation of daily and monthly direct, diffuse and global solar radiation from sunshine duration measurementsâ€, Solar energy, vol. 32, no. 4, pp. 523÷535, 1984.
M. Tiris, Ç. Tiris, and I. E. Ture, “Correlations of monthly-average daily global, diffuse and beam radiatons with hours of bright sunshine in Gebze, Turkeyâ€, Energy Conversion and Management, vol. 37, no. 9, pp. 1417÷1421, 1996.
P. C. Jain, “Global irradiation estimation for Italian locationsâ€, Solar and Wind technology, vol. 3, no. 4, pp. 323÷328, 1986.
K. Ulgen and A. Hepbasli, “Solar radiation models. Part 2: Comparison and developing new modelsâ€, Energy Sources, vol. 26, no. 5, pp. 521÷530, 2004.
M. Paulescu, L. Fara, and E. Tulcan-Paulescu, “Models for obtaining daily global solar irradiation from air temperature dataâ€, Atmospheric Research, vol. 79, no. 3&4, pp. 227÷240, 2006.
R. G. Allen, “Self-calibrating method for estimating solar radiation from air temperatureâ€, Journal of Hydrologic Engineering, vol. 2, no. 2, pp. 56÷67, 1997.
H. O. Menges, C. Ertekin, and M. H. Sonmete, “Evaluation of global solar radiation models for Konya, Turkeyâ€, Energy Conversion Management, vol. 47, no. 18&19, pp. 3149÷3173, 2006.
Z. Samani, “Estimating solar radiation and evapotranspiration using minimum climatological dataâ€, Journal of Irrigation and Drainage Engineering, vol. 126, no. 4, pp. 265÷267, 2000.
G. L. Hargreaves, G. H. Hargreaves, and J. P. Riley, “Irrigation water requirements for Senegal River basinâ€, Journal of Irrigation and Drainage Engineering, vol. 111, no. 3, pp. 265÷275, 1985.
K. L. Bristow and G. S. Campbell, “On the relationship between incoming solar radiation and daily maximum and minimum temperatureâ€, Agriculture and Forest Meteorology, vol. 31, no. 2, pp. 159÷166, 1984.
P. J. Lunde, Solar thermal engineering: Space heating and hot water systems, John Wiley & Sons, New York, 1980.
N. A. Elagib and M. G. Mansell, “New approaches for estimating global solar radiation across Sudanâ€, Energy Conversion and Management, vol. 41, no. 5, pp. 419÷434, 2000.
J. Almorox and C. Hontoria, “Global solar radiation estimation using sunshine duration in Spainâ€, Energy Conversion and Management, vol. 45, no. 9&10, pp. 1529÷1535, 2004.
M. El-Metwally, “Simple new methods to estimate global solar radiation based on meteorological data in Egyptâ€, Atmospheric Research, vol. 69, no. 3&4, pp. 217÷239, 2004.
G. Lewis, “Estimates of irradiance over Zimbabweâ€, Solar Energy, vol. 31, no. 6, pp. 609÷612, 1983.
Gaussian models. Mathlab R2013b Documentation, 2013.
C. W. Richardson, “Weather simulation for crop management modelsâ€, Transactions of the American Society of Agricultural Engineers, vol. 28, no. 5, pp. 1601÷1606, 1985.
J. C. Ododo, A. T. Sulaiman, J. Aidan, M. M. Yuguda, and F. A. Ogbu, “The importance of maximum air temperature in the parameterization of solar radiation in Nigeriaâ€, Renewable Energy, vol. 6, no. 7, pp. 751÷763, 1995.
R. K. Swartman and O. Ogunlade, “Solar radiation estimates from common parametersâ€, Solar Energy, vol. 11, no. 3&4, pp. 170÷172, 1967.
Power models. Mathlab R2013b Documentation, 2013.
Weibull models. Mathlab R2013b Documentation, 2013.
S. A. Isard, “Evaluation of models for predicting insolation on slopes within the Colorado Alpine Tundraâ€, Solar Energy, vol. 36, no. 6, pp. 559÷564, 1986.
J. A. Davies, M. Abdel-Wahab, and J. E. Howard, “Errors in estimating solar irradiance from a numerical modelâ€, Solar Energy, vol. 32, no. 2, pp. 307÷309, 1984.
A. Q. Malik and S. H. Tamam, “Estimation of monthly average daily diffuse radiation for Brunei Darussalamâ€, Renewable Energy, vol. 6, no. 4, pp. 425÷427, 1995.
J. A. Davies, M. Abdel-Wahab, and D. C. McKay, “Estimating solar irradiation on horizontal surfacesâ€, International Journal of Solar Energy, vol. 2, no. 5, pp. 405÷424, 1984.
A. Zeroual, M. Ankrim, and A. J. Wilkinson, “The diffuse-global correlation: Its application to estimating solar radiation on tilted surfaces in Marrakesh, Moroccoâ€, Renewable Energy, vol. 7, no. 1, pp. 1÷13, 1996.
M. Omer, “Diffuse solar radiation over Shambat, Khartoum Northâ€, Renewable Energy, vol. 4, no. 2, pp. 227÷233, 1994.
H. D. Kambezidis, B. E. Psiloglou, and C. Gueymard, “Measurements and models for total solar irradiance on inclined surface in Athens, Greeceâ€, Solar Energy, vol. 53, no. 2, pp. 177÷185, 1994.
M. Tiris, Ç. Tiris, and Ä°. E. Türe, “Statistical comparison of models for estimating hourly-diffuse radiation in Gebze, Turkeyâ€, Energy, vol. 21, no. 1, pp. 67÷70, 1996.
J. A. Martinez-Lozano, M. P. Utrillas, and V. Gomez, “Estimation of the diffuse solar irradiation from global solar irradiation. Daily and monthly average daily valuesâ€, Renewable Energy, vol. 4, no. 1, pp. 95÷100, 1994.
C. Ertekin and O. Yaldiz, “Comparison of some existing models for estimating global solar radiation for Antalya (Turkey)â€, Energy Conversion and Management, vol. 41, no. 4, pp. 311÷330, 2000.
B. Ampratwum and A. S. S. Dorvlo, “Estimation of solar radiation from the number of sunshine hoursâ€, Applied Energy, vol. 63, no. 3, pp. 161÷167, 1990.
M. Hussain, L. Rahman, and M. M. Rahman, “Techniques to obtain predictions of global radiation from sunshine durationâ€, Renewable Energy, vol. 18, no. 2, pp. 263÷275, 1999.
Sh. Rehman, “Empirical model development and comparison with existing correlationsâ€, Applied Energy, vol. 64, no. 1÷4, pp. 369÷378, 1999.
T. ToÄŸrul, H. ToÄŸrul, and D. Evin, “Estimation of global solar radiation under clear sky condition in Turkeyâ€, Renewable Energy, vol. 21, no. 2, pp. 271÷287, 2000.
M. T. Y. Tadros, “Uses of sunshine duration to estimate the global solar radiation over eight meteorological stations in Egyptâ€, Renewable Energy, vol. 21, no. 2, pp. 231÷246, 2000.
A. A. Sabziparvar and H. Shetaee, “Estimation of global solar radiation in arid and semi-arid climates of East and West Iranâ€, Energy, vol. 32, no. 5, pp. 649÷655, 2007.
DOI (PDF): https://doi.org/10.20508/ijrer.v4i2.1228.g6293
Refbacks
- There are currently no refbacks.
Online ISSN: 1309-0127
Publisher: Gazi University
IJRER is cited in SCOPUS, EBSCO, WEB of SCIENCE (Clarivate Analytics);
IJRER has been cited in Emerging Sources Citation Index from 2016 in web of science.
WEB of SCIENCE in 2025;
h=35,
Average citation per item=6.59
Last three Years Impact Factor=(1947+1753+1586)/(146+201+78)=5286/425=12.43
Category Quartile:Q4