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Estimation of direct and diffuse solar radiation on the horizontal plane considering air quality index and turbidity factor in Assekrem, Tamanrasset, Algeria

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Abstract

This study aimed to write a mathematical model that contributes to providing all points of change for solar radiation according to variation in the angle of solar elevation. This work proposed a model sufficient to predict the solar radiation on a horizontal area in different contexts and added air pollution such as CO, CO2, and CH4 linked with parameters such as ηbeam, κbeam, κdiffuse, β, and TL, which represent a new pollution factor that defines the mathematical model according to two components, direct and diffuse radiation. We know that the effect of pollution on light is achieved by absorbing solar radiation, which obscures part of it, and the rest of the radiation crosses the Earth’s atmosphere at a limited rate, which encouraged us to take into account the pollution side and the equation is comprehensive and sensitive at the same time. We recorded the largest value of CO2 in April and December at an estimated value of 408 (μmol/mol), where the diffuse radiation rate is low, and this coincides with the CO. Finally, we reached satisfactory results, as they were markedly identical and with almost no errors.

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Abbreviations

χ, η, A1, A2, x0, α:

Least square constants

β:

New atmospheric factor of the pollution out from a model (μmol.mol−1)

κ0 :

Constant of the coefficient of κbeam related to the beam solar radiation equal to 2.396 (μmol.mol−1)0.8

η0 :

Constant of the coefficient of ηbeam related to the beam solar radiation, and equal to 0.0000429 (μmol.mol−1)1.4

β0 :

Reference constant for total contaminated elements equal to 40 (μmol.mol−1)

κ1 :

Constant of the coefficient of κdiffuse relate by diffuse solar radiation equal to −0.0000545 (μmol.mol−1)1.2

κbeam, ηbeam :

Representing the new pollution factor, corresponding to beam solar radiation, according to β and TL (μmol.mol−1)

\( \overline{y} \) and \( \overline{x} \) :

The means of y and x, respectively

BE:

Angström coefficient (−)

BHI:

Beam solar radiation on horizontal area (Wm−2)

CH4 :

Methane

CO:

Carbon monoxide

CO2 :

Carbon dioxide

DHI:

Diffuse solar radiation on horizontal area (Wm−2)

h:

The solar altitude angle[°]

i:

count of the element vector

M:

Ratio of the number nano mole for each pollution element per the air mole (nmol.mol−1)

MCH4 :

Nano mole of the carbon oxide per mole of dry air (nmol.mol−1)

MCO :

Nano mole of the carbon oxide per mole of dry air (nmol.mol−1)

MCO2 :

Nano mole of the carbon oxide per mole of dry air (nmol.mol−1)

O3 :

Troposphere ozone (Dobson)

R2 :

Square residual

Sr:

Sum of squares of the residuals

TL :

Linke turbidity factor (−)

WV:

Water vapor (cm)

x:

Independent variable or explanatory variables

y:

Dependent variable or variable to explain

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Technology, University of Biskra, 07000, Biskra, Algeria

    Foued Chabane

  2. Mechanical Engineering Laboratory (LGM), Faculty of Technology, University of Biskra, 07000, Biskra, Algeria

    Foued Chabane

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Correspondence to Foued Chabane.

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Chabane, F. Estimation of direct and diffuse solar radiation on the horizontal plane considering air quality index and turbidity factor in Assekrem, Tamanrasset, Algeria. Air Qual Atmos Health 13, 1505–1516 (2020). https://doi.org/10.1007/s11869-020-00904-9

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  • DOI: https://doi.org/10.1007/s11869-020-00904-9

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