A Mathematical Model for Calculating Average Daily Solar Radiation

Mathematical models for calculating the average daily solar radiation are considered. The scattered solar radiation method is shown to feature the smallest calculation error. The calculation methods proposed for mobile and stationary photovoltaic panels make it possible to enhance the accuracy of forecasting the electricity generation by solar plants. The error of the considered mathematical models as applied to the conditions of Orenburg turned out to be acceptable for engineering calculations. Compared with existing forecasting methods, the proposed approach enabled an increase in the accuracy of calculations by more than 30%, which yields more accurate estimates of the payback period of the installed equipment. The selected methods can be used in the development of automated design systems for solar plants and verification calculations.

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Publication Details

Journal
Russian Electrical Engineering
Published
2025-03-01
DOI
https://doi.org/10.3103/s1068371225700312
Primary Topic
Solar Radiation and Photovoltaics
Type
article
Field-Weighted Citation Impact
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article

A Mathematical Model for Calculating Average Daily Solar Radiation

S.V. Mitrofanov
Russian Electrical Engineering
Solar Radiation and Photovoltaics
article

A Mathematical Model for Calculating Average Daily Solar Radiation

S.V. Mitrofanov
article en

Abstract

Mathematical models for calculating the average daily solar radiation are considered. The scattered solar radiation method is shown to feature the smallest calculation error. The calculation methods proposed for mobile and stationary photovoltaic panels make it possible to enhance the accuracy of forecasting the electricity generation by solar plants. The error of the considered mathematical models as applied to the conditions of Orenburg turned out to be acceptable for engineering calculations. Compared with existing forecasting methods, the proposed approach enabled an increase in the accuracy of calculations by more than 30%, which yields more accurate estimates of the payback period of the installed equipment. The selected methods can be used in the development of automated design systems for solar plants and verification calculations.

Russian Electrical EngineeringVol. 96(3)
Orenburg State University (RU)
Affordable and clean energy
Openalex Percentile: Top 88%
Solar Radiation and Photovoltaics
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A Mathematical Model for Calculating Average Daily Solar Radiation — S.V. Mitrofanov · Russian Electrical Engineering (2025) | TGRS Research Map | TGRS