Environmental Earth Sciences

, 75:219 | Cite as

Influence of introducing various meteorological parameters to the Angström–Prescott model for estimation of global solar radiation

  • Kasra Mohammadi
  • Hossein Khorasanizadeh
  • Shahaboddin ShamshirbandEmail author
  • Chong Wen Tong
Original Article


This study aims to recognize that whether introducing various meteorological parameters to the Angström–Prescott (A–P) model eventuates in enhancing the precision of monthly mean global solar radiation estimation in cities of Bandar Abbas and Jask, situated in the south coast of Iran. To identify the significance of the average, maximum and minimum ambient temperatures, average and maximum relative humidity as well as water vapor and sea level pressures, seven models have been chosen from the literature. Using the long-term measured data and via statistical regression technique, the new regression coefficients have been developed for the original A–P model and the other seven nominated models. The models’ performances have been appraised via commonly utilized statistical indicators. The results indicated that the new models provided only minor improvements over the traditional A–P model; therefore, as more complexity is associated with introducing different meteorological parameters, their applications are not appealing practically. Making comparisons with the existing models developed using PSO (particle swarm optimization) technique demonstrated the superiority of the new established A–P models of this study; consequently, even without any improvement, the simple A–P models are indeed qualified for accurate estimation of global solar radiation in cities of Bandar Abbas and Jask and their neighboring.


Global solar radiation Angström–Prescott model Meteorological parameters Prediction South coastal cities Iran 




Regression coefficients


Absolute percentage error (%)


Solar constant (equal to 1367 W/m2)

\( \bar{H} \)

Monthly mean daily global radiation on horizontal surface (MJ/m2)

\( \bar{H}_{o} \)

Monthly mean daily extraterrestrial on horizontal surface (MJ/m2)

\( \bar{H}_{i,c} ,\bar{H}_{i,m} \)

ith calculated and measured values of \( \bar{H} \) (MJ/m2)

\( \bar{K}_{T} \)

Monthly mean daily clearness index


Mean absolute bias error (MJ/m2)


Mean absolute percentage error (%)

\( \bar{n} \)

Monthly mean daily sunshine hours (hr)


Number of days

\( \bar{N} \)

Monthly mean daily maximum possible sunshine hours (hr)

\( \bar{P} \)

Monthly mean daily sea level pressure (mb)

\( \bar{P}_{V} \)

Monthly mean daily water vapor pressure (mb)


Root mean square error (MJ/m2)


Correlation coefficient

\( \bar{R}_{h} \)

Monthly mean daily relative humidity (%)

\( \bar{R}_{h\hbox{max} } \)

Monthly mean daily maximum relative humidity (%)

\( \bar{T}_{avg} \)

Monthly mean daily ambient temperature (ºC)

\( \bar{T}_{\hbox{max} } \)

Monthly mean daily maximum ambient temperature (ºC)

\( \bar{T}_{\hbox{min} } \)

Monthly mean daily minimum ambient temperature (ºC)

Greek letters


Solar declination angle (deg.)


Latitude of the location (deg.)


Sunset hour angle (deg.)



The authors would like to thank the University of Malaya for the research grants allocated (UMRG-RP015C-13AET and High Impact Research Grant, HIR-D000015-16001).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Kasra Mohammadi
    • 1
  • Hossein Khorasanizadeh
    • 2
  • Shahaboddin Shamshirband
    • 3
    Email author
  • Chong Wen Tong
    • 4
  1. 1.Department of Mechanical and Industrial EngineeringUniversity of MassachusettsAmherstUSA
  2. 2.Faculty of Mechanical Engineering and Energy Research InstituteUniversity of KashanKashanIran
  3. 3.Department of Computer System and Technology, Faculty of Computer Science and Information TechnologyUniversity of MalayaKuala LumpurMalaysia
  4. 4.Department of Mechanical Engineering, Faculty of EngineeringUniversity of MalayaKuala LumpurMalaysia

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