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Semi-Empirical Models for the Estimation of Global Solar Irradiance Measurements in Morocco

  • N. Laaroussi
  • M. Garoum
  • A. Hajji
  • M. Tajayouti
  • A. Feiz
Conference paper

Abstract

This chapter presents semi-empirical models for estimating global horizontal irradiance (GHI) under specific sky conditions. We analysed the models to estimate GHI measurements in four regions of Morocco. The data consist of a 1-year period at four solar irradiance monitoring stations located in the south of the country, Missour (32.86°N, −4.11°E), Erfoud (31.49°N, −4.22°E), Zagora (30.27°N, −5.85°E) and Tantan (28.50°N, −11.32°E). Several empirical clear sky models are considered for a Moroccan case study. These models are validated using GHI measurements from different stations over different time periods.

The disagreement between the various measurements of GHI and the semi-empirical models used for the estimation of radiation in atmospheric physics and radiative transfer modelling is sometimes significant, especially in the presence of clouds or large concentrations of aerosols. A good agreement is noticed between the measured values and those estimated by some models.

Keywords

Solar irradiation Global horizontal irradiance Direct normal irradiance Diffuse horizontal irradiance Semi-empirical models 

Nomenclature

I0

Solar constant, 1367 W.m−2

Isc

Extraterrestrial solar irradiance

IG

Global solar irradiance, W m−2

Idi

Direct solar irradiance, W m−2

Ida ,Idm

Diffuse solar irradiance, W m−2

ma

Air mass

ρ

Terrestrial albedo

θz(°)

Zenith angle in degrees

α0

Ozone absorption coefficient

αw

Water vapour absorption

τaa

Transmittance of aerosol absorptance

τ0 = (1 − α0)

Transmittance of ozone absorptance

τr

Rayleigh scattering transmission

τa

Transmittance of aerosol absorptance and scattering

References

  1. 1.
    Hanif M, Ramzan M, Aamir M, Rahman M, Khan M, Amin M (2012) Studying power output of PV solar panels at different temperatures and tilt angles. ISESCO J Sci Technol 8(1):9–12Google Scholar
  2. 2.
    Ineichen P (2008) A broadband simplified version of the solis clear sky model. Solar Energy 82:758–762CrossRefGoogle Scholar
  3. 3.
    Mesri-Merad M, Rougab I, Cheknane A, Bachari NI (2012) Estimation du rayonnement solaire au sol par des modèles semi-empiriques. Revue des Energies Renouvelebles 15(3):451–463Google Scholar
  4. 4.
    Koussa M, Malek A, Haddadi M (2006) Validation de quelques modèles de reconstitution des éclairements dus au rayonnement solaire direct, diffuse et global par ciel clair. Revue des Energies Renouvelables 9(4):307–332Google Scholar
  5. 5.
    Blanc P, Espinar B, Geuder N, Gueymard C, Meyer R, Pitz-Paal R, Reinhardt B, Renne D, Sengupta M, Wald L, Wilbert S (2014) Direct normal irradiance related definitions and applications: the circumsolar issue. Solar Energy 110:561–577CrossRefGoogle Scholar
  6. 6.
    Dazhi Y, Jirutitijaroen P, Walsh WM (2012) The estimation of clear sky global horizontal irradiance at the equator. Energy Procedia 25:141–148CrossRefGoogle Scholar
  7. 7.
    Loutzenhiser PG, Manz H, Frlsmann C, Strachan PA, Frank T, Maxwell GM (2007) Empirical validation on models to compute solar irradiance on inclined surfaces for building energy simulation. Solar Energy 81(2):254–267CrossRefGoogle Scholar
  8. 8.
    Bird RE, Hulstrom RL (1981) A simplified clear sky model for direct and diffuse insolation on horizontal surfaces, February 1981, SERI/TR, pp 642–761Google Scholar
  9. 9.
    Davies JA, Hay JE (1979) Calculation of the solar radiation incident on a horizontal surface. In: Proceedings of first Canadian solar radiation data workshop, 17–19 April, 1978, Canadian Atmospheric Environment ServiceGoogle Scholar
  10. 10.
    Lacis AL, Hansen JE (1974) A parameterization absorption of solar radiation in the earth’s atmosphere. J Atmos Sci 31:118–133CrossRefGoogle Scholar
  11. 11.
    Robinson GD (1962) Absorption of solar radiation by atmospheric aerosol as revealed by measurements from the ground. Archivfùr Meteorol Geophys Bioclimatol Ser B 12(1):19–40CrossRefGoogle Scholar
  12. 12.
    Bird RE, Hulstrom RL (1980) Direct insolation models. Solar Energy Research Institute, Golden. SERI/TR, pp 335–344Google Scholar

Copyright information

© Springer International Publishing Switzerland 2017

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Authors and Affiliations

  • N. Laaroussi
    • 1
  • M. Garoum
    • 1
  • A. Hajji
    • 1
  • M. Tajayouti
    • 1
  • A. Feiz
    • 2
  1. 1.EST de Salé, Laboratoire d’Energétique, Matériaux et Environnement (LEME), Université Mohammed V Rabat, Avenue Prince Héritier, BP. 227 Salé Medina, MarocRabatMorocco
  2. 2.Laboratoire de Mécanique et d’Energétique d’Evry (LMEE), Equipe Mécanique des Fluides et Environnement (MFE), Université d’Evry Val-d’EssonneEvryFrance

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