Comparative Assessment of Solar Irradiance Transposition Models for PV Systems in Durban, South Africa: Evidence from 20 Years of Climate Data (2001–2020)

Authors

  • Williams S. Ebhota Durban University of Technology

DOI:

https://doi.org/10.58564/IJSER.4.4.2025.355

Keywords:

Solar irradiance estimation; Transposition models; PV performance; Global tilted irradiance; Renewable energy

Abstract

Accurate estimation of solar irradiance on tilted photovoltaic (PV) surfaces is central to performance prediction, system sizing, and financial assessment of solar energy projects. This study conducts a comprehensive comparative evaluation of five widely used irradiance transposition models—Liu & Jordan, Hay & Davies, Klucher, Perez, and Reindl—using 20 years (2001–2020) of climate data for Durban, South Africa. The models were assessed based on their ability to estimate global tilted irradiance (GTI) and the downstream impacts on PV system performance, including energy yield, performance ratio (PR), capacity factor (CF), solar fraction (SF), and avoided CO₂ emissions. A 7.2 kWp rooftop PV system with typical system losses, climatic inputs, and realistic operating assumptions was modelled to quantify differences across models. Results show a 7% variation in annual energy output and CO₂ mitigation potential, driven primarily by differences in diffuse irradiance treatment. Perez and Reindl consistently produced the highest GTI and PV output due to their robust handling of anisotropic sky conditions, while Klucher and Liu & Jordan delivered conservative estimates. Statistical error analysis (MBE, RMSE, nRMSE) confirmed Perez as the benchmark and Reindl as the closest-performing model. Overall, findings highlight the importance of transposition model selection for accurate PV performance evaluation, system bankability, and climate impact projections in diffuse-dominant subtropical climates.

References

[1] J. Omoriare, E. Ogherohwo, and J. Zhimwang, "Investigating the influence of solar irradiance variability on the output power of photovoltaic (PV) systems in Akure, Nigeria," World Journal of Applied Science & Technology, vol. 16, no. 1, pp. 18-22, 2024. [Online]. Available: https://dx.doi.org/10.4314/wojast.v16i1.18. DOI: https://doi.org/10.4314/wojast.v16i1.18

[2] L. Toreti Scarabelot, G. Arns Rampinelli, and C. R. Rambo, "Overirradiance effect on the electrical performance of photovoltaic systems of different inverter sizing factors," Solar Energy, vol. 225, pp. 561-568, 2021/09/01/ 2021, doi: https://doi.org/10.1016/j.solener.2021.07.055. DOI: https://doi.org/10.1016/j.solener.2021.07.055

[3] C. Toledo, A. M. Gracia Amillo, G. Bardizza, J. Abad, and A. Urbina, "Evaluation of Solar Radiation Transposition Models for Passive Energy Management and Building Integrated Photovoltaics," Energies, vol. 13, no. 3, p. 702, 2020. [Online]. Available: https://www.mdpi.com/1996-1073/13/3/702. DOI: https://doi.org/10.3390/en13030702

[4] Y. J. K. Musleh, W. Herring, C. D. Rodríguez-Gallegos, S. A. Boden, and T. Rahman, "Subhourly Error Analysis of Decomposition–Transposition Model Pairs for Temperate Climates," IEEE Journal of Photovoltaics, vol. 15, no. 1, pp. 164-172, 2025, doi: 10.1109/JPHOTOV.2024.3483262. DOI: https://doi.org/10.1109/JPHOTOV.2024.3483262

[5] F. Shaik, S. S. Lingala, and P. Veeraboina, "Effect of various parameters on the performance of solar PV power plant: a review and the experimental study," Sustainable Energy Research, vol. 10, no. 1, p. 6, 2023/04/10 2023, doi: 10.1186/s40807-023-00076-x. DOI: https://doi.org/10.1186/s40807-023-00076-x

[6] W. S. Ebhota and P. Y. Tabakov, "The prospect of floating photovoltaic in clean energy provision and net-zero-emissions," Clean Technologies and Environmental Policy, 2024/10/17 2024, doi: 10.1007/s10098-024-03049-w. DOI: https://doi.org/10.1007/s10098-024-03049-w

[7] W. S. Ebhota and P. Y. Tabakov, "Assessment of solar photovoltaic potential of selected site locations in cities across sub-Saharan Africa," Energy Systems, 2023/10/16 2023, doi: 10.1007/s12667-023-00625-9.

[8] W. S. Ebhota and P. Y. Tabakov, "Energy losses in crystalline silicon rooftop photovoltaic systems in selected site locations in Sub-Saharan Africa," International Journal of Renewable Energy Development, Photovoltaic systems; Crystalline silicon; Photovoltaic energy losses; PV panel degradation; Inverter loss vol. 13, no. 3, p. 13, 2024-05-01 2024, doi: 10.61435/ijred.2024.57529. DOI: https://doi.org/10.61435/ijred.2024.57529

[9] W. S. Ebhota and P. Y. Tabakov, "Assessment of Solar Photovoltaic Potential of Selected Site Locations in Cities across Sub-Saharan Africa," presented at the 7th Global Energy Meet, Boston, USA, March 6-8, 2023 2023. [Online]. Available: https://globalenergymeet.com/2023/pdfs/gem-2023_abstractbook.pdf. DOI: https://doi.org/10.1007/s12667-023-00625-9

[10] C. Yeung et al., "Multi-factorial assessment of inclined surface solar radiation using photovoltaic data and solar radiation transposition models: A case study in China," Energy 360, p. 100036, 2025/09/09/ 2025, doi: https://doi.org/10.1016/j.energ.2025.100036. DOI: https://doi.org/10.1016/j.energ.2025.100036

[11] Y. J. Musleh, "Development and validation of optical models for predicting solar irradiance in temperate climates," PhD, University of Southampton, 2025. [Online]. Available: https://eprints.soton.ac.uk/500919/1/Clean_Thesis_Minor_Corrections.pdf

[12] P. Choudhary and A. K. Akella, "Performance Evaluation of Isotropic and Anisotropic Empirical Models for Estimation of Solar Irradiance Over Inclined Surfaces at Different Geographical Locations," Singapore, 2022: Springer Nature Singapore, in Control Applications in Modern Power Systems, pp. 343-365. DOI: https://doi.org/10.1007/978-981-19-0193-5_29

[13] A. K. Atsbeha, G. G. Gebremariam, K. G. Gebru, and A. K. Kiros, "Assessment of solar resource potential and estimation of direct and diffuse solar irradiation from sunshine hours data for Eastern Zone of Tigray, Northern Ethiopia," Sustainable Energy Research, vol. 12, no. 1, p. 16, 2025/04/16 2025, doi: 10.1186/s40807-025-00162-2. DOI: https://doi.org/10.1186/s40807-025-00162-2

[14] B. Y. H. Liu and R. C. Jordan, "The interrelationship and characteristic distribution of direct, diffuse and total solar radiation," Solar Energy, vol. 4, no. 3, pp. 1-19, 1960/07/01/ 1960, doi: https://doi.org/10.1016/0038-092X(60)90062-1. DOI: https://doi.org/10.1016/0038-092X(60)90062-1

[15] B. Y. H. Liu and R. C. Jordan, "The long-term average performance of flat-plate solar-energy collectors: With design data for the U.S., its outlying possessions and Canada," Solar Energy, vol. 7, no. 2, pp. 53-74, 1963/04/01/ 1963, doi: https://doi.org/10.1016/0038-092X(63)90006-9. DOI: https://doi.org/10.1016/0038-092X(63)90006-9

[16] J. F. Orgill and K. G. T. Hollands, "Correlation equation for hourly diffuse radiation on a horizontal surface," Solar Energy, vol. 19, no. 4, pp. 357-359, 1977/01/01/ 1977, doi: https://doi.org/10.1016/0038-092X(77)90006-8. DOI: https://doi.org/10.1016/0038-092X(77)90006-8

[17] T. M. Klucher, "Evaluation of models to predict insolation on tilted surfaces," Solar Energy, vol. 23, no. 2, pp. 111-114, 1979/01/01/ 1979, doi: https://doi.org/10.1016/0038-092X(79)90110-5. DOI: https://doi.org/10.1016/0038-092X(79)90110-5

[18] J. E. Hay, "Calculation of monthly mean solar radiation for horizontal and inclined surfaces," Solar Energy, vol. 23, no. 4, pp. 301-307, 1979/01/01/ 1979, doi: https://doi.org/10.1016/0038-092X(79)90123-3. DOI: https://doi.org/10.1016/0038-092X(79)90123-3

[19] D. G. Erbs, S. A. Klein, and J. A. Duffie, "Estimation of the diffuse radiation fraction for hourly, daily and monthly-average global radiation," Solar Energy, vol. 28, no. 4, pp. 293-302, 1982/01/01/ 1982, doi: https://doi.org/10.1016/0038-092X(82)90302-4. DOI: https://doi.org/10.1016/0038-092X(82)90302-4

[20] R. Perez, P. Ineichen, R. Seals, J. Michalsky, and R. Stewart, "Modeling daylight availability and irradiance components from direct and global irradiance," Solar Energy, vol. 44, no. 5, pp. 271-289, 1990/01/01/ 1990, doi: https://doi.org/10.1016/0038-092X(90)90055-H. DOI: https://doi.org/10.1016/0038-092X(90)90055-H

[21] D. T. Reindl, W. A. Beckman, and J. A. Duffie, "Diffuse fraction correlations," Solar Energy, vol. 45, no. 1, pp. 1-7, 1990/01/01/ 1990, doi: https://doi.org/10.1016/0038-092X(90)90060-P. DOI: https://doi.org/10.1016/0038-092X(90)90060-P

[22] K. N. Ukoima, "Design and performance analysis of a solar photovoltaic system for a rural community in rivers state, Nigeria," Scientific Reports, vol. 15, no. 1, p. 33783, 2025/09/30 2025, doi: 10.1038/s41598-025-00664-5. DOI: https://doi.org/10.1038/s41598-025-00664-5

[23] J. C. Solano and J. J. Arciniega, "The Performance Ratio of a Grid-Connected Photovoltaic System: An Experimental and Calculative Analysis," in Congress on Research, Development and Innovation in Renewable Energies: Selected Papers from CIDiER 2024, M. Espinoza-Andaluz, J. Santana-Villamar, B. Ordóñez-Saca, C. Vallejo-Cervantes, and L. Rodríguez-Álava Eds. Cham: Springer Nature Switzerland, 2025, pp. 25-37.

[24] I. Yousuf, A. R. Ghumman, H. N. Hashmi, and M. A. Kamal, "Carbon emissions from power sector in Pakistan and opportunities to mitigate those," Renewable and Sustainable Energy Reviews, vol. 34, pp. 71-77, 2014/06/01/ 2014, doi: https://doi.org/10.1016/j.rser.2014.03.003. DOI: https://doi.org/10.1016/j.rser.2014.03.003

[25] S. M. T. Rahman, A. M. Hashan, M. M. R. Sharon, and S. Saha, "Carbon footprint analysis of fossil power plants in Bangladesh: measuring the impact of $${CO}_{2}$$and greenhouse gas emissions," Discover Environment, vol. 2, no. 1, p. 47, 2024/05/09 2024, doi: 10.1007/s44274-024-00081-x. DOI: https://doi.org/10.1007/s44274-024-00081-x

[26] IEA, "Emissions Factors ", International Energy Agency (IEA), Paris, 2022. [Online]. Available: https://www.iea.org/data-and-statistics/data-product/emissions-factors-2022

[27] Climatiq, "Electricity Supply Grid Source Supplier Mix," 2025. [Online]. Available: https://www.climatiq.io/data/explorer?search=electricity-supply_grid-source_supplier_mix&data_version=%5E26

[28] C. Transparency, "Climate Transparency Report 2022: Comparing G20 Climate Action," Climate Transparency Report, Berlin, Germany 2022. [Online]. Available: https://www.climate-transparency.org/g20-climate-performance/g20report2022

[29] Climatiq. "Emission Factor: Electricity supplied from grid." https://www.climatiq.io/data/emission-factor/cfdb24a6-5710-4930-8e66-c7cd9105c419?utm_source=chatgpt.com (accessed.

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Published

2026-01-07

How to Cite

Williams S. Ebhota. (2026). Comparative Assessment of Solar Irradiance Transposition Models for PV Systems in Durban, South Africa: Evidence from 20 Years of Climate Data (2001–2020). Al-Iraqia Journal for Scientific Engineering Research, 4(4), 37–49. https://doi.org/10.58564/IJSER.4.4.2025.355

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