New Empirical Models for Estimation of Diffuse Radiation using Satellite Data

Arslan, Mustafa; Cunkas, Mehmet

doi:10.22044/rera.2023.12439.1183

Document Type : Original Article

Authors

Mustafa Arslan ¹
Mehmet Cunkas ²

¹ Konya Technical University, Vocational School of Technical Sciences, Konya, Türkiye.

² Selçuk University, Faculty of Technology, Department of Electrical & Electronics Engineering, Konya, Türkiye.

https://doi.org/10.22044/rera.2023.12439.1183

Abstract

Diffuse radiation is used in photovoltaic systems and other energy applications. Since global radiation is measured by local meteorological stations, it is possible to reach these radiation data. However, diffuse radiation is not usually measured, so it is not possible to obtain regular data on diffuse radiation. For this reason, efforts are underway to develop various empirical models to estimate diffuse radiation. This paper aims to develop new empirical models to estimate the diffuse radiation values for Konya, Türkiye. The empirical models are used to determine the relationship between the diffuse fraction and the clearness index. Data from NASA-Surface meteorology and Solar Energy and the measured global solar were used. The three most suitable developed models were selected, and it was suggested to estimate the diffuse radiation. The developed models consist of 2nd, 3rd, and 4th-order polynomial regression models. The proposed models were tested to evaluate their performances by using eight statistical methods. These are Mean Bias Error (MBE), Mean Absolute Error (MAE), Mean Squared Error (MSE), Root Mean Squared Error (RMSE), Sum Squared Relative Error (SSRE), Relative Standard Error (RSE), Coefficient of determination (R2) and Correlation Coefficient (r). For the suggested models, the statistical parameters R2 value were calculated as 0.999705413, 1, and 1, and the RSE values were determined as 0.0084537, 0.000122, and 6.05E-06. The proposed models can contribute to researchers working on the applications of photovoltaic systems. The approaches could be used to estimate diffuse radiation elsewhere under similar climatic conditions.

Keywords

20.1001.1.2717252.2024.5.1.3.9

Main Subjects

Photovoltaic Systems

References

[1] K. Bakirci, “Prediction of diffuse radiation in solar energy applications: Turkey case study and compare with satellite data,” Energy, Vol. 237, pp. 121527, 2021.

[2] NASA. "Earth’s Energy Budget " June 20, 2021; https://earthobservatory.nasa.gov/features/EnergyBalance/page4.php.

[3] H. C. Bayrakçı, C. Demircan, and A. Keçebaş, “The development of empirical models for estimating global solar radiation on horizontal surface: A case study,” Renewable and Sustainable Energy Reviews, Vol. 81, pp. 2771-2782, 2018.

[4] S. F. Khahro, K. Tabbassum, S. Talpur, M. B. Alvi, X. Liao, and L. Dong, “Evaluation of solar energy resources by establishing empirical models for diffuse solar radiation on tilted surface and analysis for optimum tilt angle for a prospective location in southern region of Sindh, Pakistan,” International Journal of Electrical Power & Energy Systems, Vol. 64, pp. 1073-1080, 2015.

[5] J. Fan, L. Wu, F. Zhang, H. Cai, X. Ma, and H. Bai, “Evaluation and development of empirical models for estimating daily and monthly mean daily diffuse horizontal solar radiation for different climatic regions of China,” Renewable and Sustainable Energy Reviews, Vol. 105, pp. 168-186, 2019.

[6] J. Boland, B. Ridley, and B. Brown, “Models of diffuse solar radiation,” Renewable Energy, Vol. 33, No. 4, pp. 575-584, 2008.

[7] R. Tang and T. Wu, “Optimal tilt-angles for solar collectors used in China,” Applied energy, Vol. 79, No. 3, pp. 239-248, 2004.

[8] F. Cao, H. Li, T. Yang, Y. Li, T. Zhu, and L. Zhao, “Evaluation of diffuse solar radiation models in Northern China: New model establishment and radiation sources comparison,” Renewable Energy, Vol. 103, pp. 708-720, 2017.

[9] L. Wang, Y. Lu, L. Zou, L. Feng, J. Wei, W. Qin, and Z. Niu, “Prediction of diffuse solar radiation based on multiple variables in China,” Renewable and Sustainable Energy Reviews, Vol. 103, pp. 151-216, 2019.

[10] M. U. Yousuf, M. Umair, and M. Uzair, “Estimating the average diffuse solar radiation based on multiple parameters: a case study of arid climate zone of Pakistan,” International Journal of Ambient Energy, pp. 1-11, 2020.

[11] S. C. Nwokolo, A. U. Obiwulu, J. C. Ogbulezie, and S. O. Amadi, “Hybridization of statistical machine learning and numerical models for improving beam, diffuse and global solar radiation prediction,” Cleaner Engineering and Technology, Vol. 9, pp. 100529, 2022.

[12] S. E. Berrizbeitia, E. Jadraque Gago, and T. Muneer, “Empirical models for the estimation of solar sky-diffuse radiation. A review and experimental analysis,” Energies, Vol. 13, No. 3, pp. 701, 2020.

[13] T. Zhu, J. Li, L. He, D. Wu, X. Tong, Q. Mu, and Q. Yu, “The improvement and comparison of diffuse radiation models in different climatic zones of China,” Atmospheric Research,Vol. 254, pp. 105505, 2021.

[14] L. Al‐Ghussain, O. Al‐Oran, and F. Lezsovits, “Statistical estimation of hourly diffuse radiation intensity of Budapest City,” Environmental Progress & Sustainable Energy, Vol. 40, No. 1, pp. e13464, 2021.

[15] F. Li, Y. Lin, J. Guo, Y. Wang, L. Mao, Y. Cui, and Y. Bai, “Novel models to estimate hourly diffuse radiation fraction for global radiation based on weather type classification,” Renewable Energy, Vol. 157, pp. 1222-1232, 2020.

[16] B. Pavlinić, and D. Tolić, "Predicting Diffuse Horizontal Radiation with Neural Networks." pp. 127-132.

[17] N. Chawphongphang, P. Chaiwiwatworakul, and S. Chirarattananon, “Global and Diffuse Solar Radiation Characteristics of Bangkok and its Forecast Using Artificial Neural Network,” International Energy Journal, Vol. 22, No. 4, 2022.

[18] Y. Lu, R. Zhang, L. Wang, X. Su, M. Zhang, H. Li, S. Li, and J. Zhou, “Prediction of diffuse solar radiation by integrating radiative transfer model and machine-learning techniques,” Science of The Total Environment, Vol. 859, pp. 160269, 2023.

[19] L. Yang, Q. Cao, Y. Yu, and Y. Liu, “Comparison of daily diffuse radiation models in regions of China without solar radiation measurement,” Energy, Vol. 191, pp. 116571, 2020.

[20] M. Tiris, C. Tiris, and I. Türe, “Correlations of monthly-average daily global, diffuse and beam radiations with hours of bright sunshine in Gebze, Turkey,” Energy Conversion and Management, Vol. 37, No. 9, pp. 1417-1421, 1996.

[21] H. Aras, O. Balli, and A. Hepbasli, “Estimating the horizontal diffuse solar radiation over the Central Anatolia Region of Turkey,” Energy conversion and management, Vol. 47, No. 15-16, pp. 2240-2249, 2006.

[22] K. Ulgen and A. Hepbasli, “Comparison of the diffuse fraction of daily and monthly global radiation for Izmir, Turkey,” Energy Sources, Vol. 25, No. 7, pp. 637-649, 2003.

[23] K. Ulgen and A. Hepbasli, “Diffuse solar radiation estimation models for Turkey’s big cities,” Energy Conversion and management, Vol. 50, No. 1, pp. 149-156, 2009.

[24] S. Tarhan, and A. Sarı, “Model selection for global and diffuse radiation over the Central Black Sea (CBS) region of Turkey,” Energy Conversion and Management, Vol. 46, No. 4, pp. 605-613, 2005.

[25] N. Arslanoglu, “Evaluation and establishment of diffuse solar radiation models for Bursa, Turkey,” Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, Vol. 38, No. 18, pp. 2788-2797, 2016.

[26] C. A. Tırmıkçı and C. Yavuz, “Establishing New Diffuse Solar Radiation Equations for Antalya, Turkey,” Academic Perspective Procedia, Vol. 1, No. 1, pp. 514-520, 2018.

[27] K. Bakirci and Y. Kirtiloglu, “Prediction of diffuse solar radiation using satellite data,” International Journal of Green Energy, Vol. 15, No. 2, pp. 76-79, 2018.

[28] S. E. Rusen and A. Konuralp, “Quality control of diffuse solar radiation component with satellite-based estimation methods,” Renewable Energy, Vol. 145, pp. 1772-1779, 2020.

[29] K. Bakirci, “Evaluation of models for prediction of diffuse solar radiation and comparison with satellite values,” Journal of Cleaner Production, Vol. 374, pp. 133892, 2022.

[30] J. A. Duffie and W. A. Beckman, “Solar Engineering of Thermal Processes John Wiley & Sons,” Inc. New York, 1991.

[31] H. Bulut, and O. Büyükalaca, “Simple model for the generation of daily global solar-radiation data in Turkey,” Applied Energy, Vol. 84, No. 5, pp. 477-491, 2007.

[32] A. G. Kaplan and Y. A. Kaplan, “Developing of the new models in solar radiation estimation with curve fitting based on moving least-squares approximation,” Renewable Energy, Vol. 146, pp. 2462-2471, 2020.

[33] Republic of Turkey. "Ministry of Energy and Natural Resources, Republic of Turkey.," June 20, 2021; https://enerji.gov.tr/bilgi-merkezi-enerji-gunes/.

[34] NASA-SSE. "Surface meteorology and Solar Energy," June 20, 2021; https://power.larc.nasa.gov/data-access-viewer/.

[35] S. ÇETİNTÜRK, N. TARAKÇIOĞLU, M. ACARER, M. Çunkaş, and E. SALUR, “Using Quadratic Multiple Linear Regression Models to Investigate the Effect of Inoculant Type and T6 Heat Treatment on Microstructural, Mechanical and Corrosion Properties of Al-Cu Alloy Produced by Casting,” Materials Today Communications, pp. 105549, 2023.

[36] M. Iqbal, “Study of canadian diffuse and total solar radiation data. i. monthly average daily horizontal radiation,” Sol. Energy;(United States), Vol. 22, No. 1, 1979.

[37] J. K. Page, "The estimation of monthly mean values of daily total short wave radiation on vertical and inclined surfaces from sunshine records for latitudes 40ıN–40ıS." pp. 378–390.

[38] C. Jacovides, L. Hadjioannou, S. Pashiardis, and L. Stefanou, “On the diffuse fraction of daily and monthly global radiation for the island of Cyprus,” Solar Energy, Vol. 56, No. 6, pp. 565-572, 1996.

[39] D. Erbs, S. Klein, and J. 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.

[40] E. Taşdemiroğlu, and R. Sever, “Estimation of monthly average, daily, horizontal diffuse radiation in Turkey,” Energy, Vol. 16, No. 4, pp. 787-790, 1991.

[41] K. Gopinathan and A. Soler, “Diffuse radiation models and monthly-average, daily, diffuse data for a wide latitude range,” Energy, Vol. 20, No. 7, pp. 657-667, 1995.

[42] S. Barbaro, G. Cannata, S. Coppolino, C. Leone, and E. Sinagra, “Diffuse solar radiation statistics for Italy,” Solar Energy, Vol. 26, No. 5, pp. 429-435, 1981.

[43] B. Y. 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.

Renewable Energy Research and Applications

New Empirical Models for Estimation of Diffuse Radiation using Satellite Data

References

References

Volume 5, Issue 1
January 2024
Pages 21-33

New Empirical Models for Estimation of Diffuse Radiation using Satellite Data

References

References

Volume 5, Issue 1January 2024Pages 21-33

Volume 5, Issue 1
January 2024
Pages 21-33