Performance Evaluation and Statistical Analysis of Solar Energy Modeling: A Review and Case Study

Authors

  • Samy A. Khalil Solar and Space Department, National Research Institute of Astronomy and Geophysics (NRIAG), 11421, Helwan, Cairo, Egypt

Keywords:

Solar energy, Models, Statistical Indicators, Performance and Sunshine duration.

Abstract

The main target of this research is a quantitative review of literature on global solar radiation (GSR) models available for different stations around the world. The statistical analysis of 400 existing sunshine-based GSR models on a horizontal surface is compared using 40-year meteorological data in the selected locations in Egypt. The measured data is divided into two sets. The first sub-data set from 1980 to 2019 was used to develop empirical correlation models between the monthly average daily global solar radiation fraction (H/H0) and the monthly average of desired meteorological parameters. The second sub-data set from 2015–2019 was used to validate and evaluate the derived models and correlations. The developed models were compared with each other and with the experimental data of the second subset based on the statistical error indicators such as RMSE, MBE, MABE, MPE, and correlation coefficient (R). The statistical test of the correlation, coefficient (R), for all models gives very good results (above 0.92). The smallest values of t-Test occur around the models (M 272, M 261, M 251, and M 238). The accuracy of each model is tested using ten different statistical indicator tests. The Global Performance Indicator (GPI) is used to rank the selected GSR models. According to the results, the Rietveld model (Model 272) has shown the best capability to predict the GSR on horizontal surfaces, followed by the Katiyar et al. model (Model 251) and the Aras et al. model (Model 261).

Dimensions

S. C. Nwokolo & J. C. Ogbulezie, “A quantitative review and classification of empirical models for predicting global solar radiation in West Africa”, Beni-Suef University Journal of Basic and Applied Sciences 7 (2018) 367. http://dx.doi.org /10. 1016/j.bjbas.2017.05.001.

P. Jesus-I & G. David, “Global solar radiation models: A critical review from the point of view of homogeneity and case study”, Renewable and Sustainable Energy Reviews 155 (2022) 111856. https://doi.org/10.1016/j.rser.2021.111856.

G. R. Makade & J. Basharat, ‘Statistical analysis of sunshine based global solar radiation (GSR) models for tropical wet and dry climatic Region in Nagpur, India: A case study”, Renewable and Sustainable Energy Reviews 87 (2018) 22. https://doi.org/10.1016/j.rser.2018.02.001.

A. Kumar, N. Kumar, P. Baredar & A. Shukla, “A review on biomass energy resources, potential, conversion and policy in India”, Renew Sustain Energy Rev. 45 (2015) 530. http://dx.doi.org/10.1016/j.rser.2015.02.007.

S. Singh & U. Bajpai, “Integrated energy planning for sustainable development in rural areas: a case study from Eastern Uttar Pradesh”, Int. J Energy Environ. 1 (2010) 1083.

V. Chaturvedi, J. Eom, L. E. Clarke & P. R. Shukla, “Long term building energy demand for India: disaggregating end use energy services in an integrated assessment-modeling framework”, Energy Policy 64 (2014) 226. http://dx.doi.org/10.1016/j.enpol.2012.11.021.25

S. Ahmed, A. Mahmood, A. Hasan, G. A. S. Sidhu, M. F & U. Butt, “A comparative review of China, India and Pakistan renewable energy sectors and sharing opportunities”, Renew Sustain Energy Rev. 57 (2016) 216. http://dx.doi.org/10.1016/j.rser.2015.12.191.

I. R. Pillai & R. Banerjee “Renewable energy in India: Status and potential”, Energy, 34(8) (2009) 970. http://dx.doi.org/10.1016/j.energy.2008.10.016.

E. Can, “Total Global Solar Radiation Estimation Models and Applications: A review”, International Journal of Innovative Technology and Interdisciplinary Sciences 2 (2019) 212 https://doi.org/10.15157/IJITIS.2019.2.2.212-228.

G. Nejib, B. Abdulhakim, A. A. El-Bary, M. M. Elewa, B. Nidhal, A. Yahya & G. E. Hassan, “Performance Evaluation of Temperature-Based Global Solar Radiation Models—Case Study: Arar City, KSA”, Sustainability 14 (2022) 35. https://doi.org/10.3390/su14010035.

M. G. Iziomon & H. Mayer. “Assessment of some global solar radiation parameterizations”, J Atmos. Sol. Terr. Phys. 64 (15) (2002) 1631. http://dx.doi.org/10.1016/ S1364-6826(02)00131-1.

A. K. Katiyar & C. K. Pandey, “A review of solar radiation models-Part I.”, J Renew Energy, 11 (2013) 168048. http://dx.doi.org/10.1155/2013/168048.

Z. A. Al-Mostafa, A. H. Maghrabi & S. M. Al-Shehri, “Sunshine-based global radiation models: a review and case study”, Energy Convers Manag. 84 (2014) 209. http:// dx.doi.org/10.1016/j.enconman.2014.04.021.

A. A. El-Sebaii & A. A. Trabea, “Estimation of Global solar radiation on horizontal surfaces Over Egypt”, Egypt J Solids 28 (2005) 163.

A. K. Katiyar & C. K. Pandey, “Simple correlation for estimating the global solar radiation on horizontal surfaces in India”, Energy 35 (2010) 5043. http://dx.doi.org/10. 1016/j.energy.2010.08.014.

J. Almorox & C. Hontoria, “Global solar radiation estimation using sunshine duration in Spain” Energy Convers Manag. 45 (2004) 1529. http://dx.doi.org/10. 1016/j.enconman.2003.08.022.

J. Glover & J. S. G. McCulloch, “The empirical relation between solar radiation and hours of bright sunshine in the high-altitude tropics” Q J R Meteorology Soc. 84 (1958) 56. http://dx.doi.org/10.1002/qj.49708435907.

S. Rehman “Solar radiation over Saudi Arabia and comparisons with empirical models” Energy 23 (1998) 1077. http://dx.doi.org/10.1016/S03605442(98)00057-7.

O. Olubi, E. Oniya & T. Owolabi, “Development of Predictive Model for Radon-222 Estimation in the Atmosphere using Stepwise Regression and

Grid Search Based-Random Forest Regression,” J. Nig. Soc. Phys. Sci. 3 (2021) 132/ doi: 10.46481/jnsps.2021.177.

K. K. Gopinathan, “A general formula for computing the coefficients of the correlation connecting global solar radiation to sunshine duration” Solar Energy 41 (1988) 499. http://dx.doi.org/10.1016/0038092X(88)90052-7.

Z. Jin, W. Yezheng, Y. Gang “General formula for estimation of monthly average daily global solar radiation in China” Energy Convers Manag., 46 (2) (2005) 257–68. http://dx.doi.org/10.1016/j.enconman.2004.02.020.

C. Rensheng , L. Shihua, K. Ersi, Y. Jianping & J. Xibin, “Estimating daily global radiation using two types of revised models in China”, Energy Convers. Manag.” 47 (7-8) (2006) 865. http://dx.doi.org/10.1016/j.enconman.2005.06.015.

M. S. Gadiwala, A. Usman, M. Akhtar & K. Jamil, “Empirical models for the estimation of global solar radiation with sunshine hours on horizontal surface in various cities of Pakistan”, Pak J Meteorology 9 (2013) 43.

A. O. Onyango & V. Ongoma, “Estimation of mean monthly global solar radiation using sunshine hours for Nairobi City, Kenya”, J Renew Sustain Energy 7 (2015) 053105.

K. Bakirci, “Prediction of global solar radiation and comparison with satellite data. J Atmos. Sol. Terr. Phys. 152 (2017) 41. http://dx.doi.org/10.1016/j.jastp.2016. 12.002.

E. Quansah, “Empirical models for estimating global solar radiation over the Ashanti region of Ghana”, J Sol Energy (2014) 897970. http://dx.doi.org/10.1155/2014/897970.

R. El chaal & M. O. Aboutafail, “Statistical Modelling by Topological Maps of Kohonen for Classification of the Physicochemical Quality of Surface Waters of the Inaouen Watershed Under Matlab”, J. Nig. Soc. Phys. Sci. 4 (2022) 223. DOI:10.46481/jnsps.2022.608.

K. Namrata, S. P. Sharma & S. B. L. Seksena “Empirical models for the estimation of global solar radiation with sunshine hours on horizontal surface for Jharkhand (India)” Appl. Sol Energy 52 (2016) 164.

M. R. Rietveld, “A new method for estimating the regression coefficients in the formula relating solar radiation to sunshine” Agric. Meteorology, 19 (1978) 243. http://dx.doi.org/10.1016/0002-1571(78)90014-6.

S. A. Abdullahi, N. Hussainic & A. G. Habib, “Mathematical Model of In-host Dynamics of Snakebite Envenoming” J. Nig. Soc. Phys. Sci. 4 (2022) 193. https://doi.org/10.46481/jnsps.2022.548.

S. Anis M., B. Jamil, A. M. Ansari & E. Bellos “Generalized models for estimation of global solar radiation based on sunshine duration and detailed comparison with the existing: a case study for India”, Sustain Energy Technol Assess 31 (2019) 179. https://doi.org/10.1016/j.seta.2018.12.009.

A. Das, J. Park, J. Park “Estimation of available global solar radiation using sunshine duration over South Korea” J Atmos. Sol Terr. Phys 134 (2015) 22. http://dx.doi. org/10.1016/j.jastp.2015.09.001.

H. A. N. Hejase, A. H. Assi “Global and diffuse solar radiation in the United Arab Emirates” Int. J Environ Sci. Dev. 4 (2013) 470.

E. P. Tchilabalo, O. M. Oyewola, O. O. Ajide, O. J. Matthew, T. A. O. Salau & M. S. Adaramola “Assessment of global solar radiation estimates across different regions of Togo, West Africa”, Meteorology and Atmospheric Physics 134 (2022) 134. https://doi.org/10.1007/s00703021-00856-4.

A. Soler “Monthly specific Rietveld’s correlations” Sol Wind Technol., 7(2/3) (1990) 305. http://dx.doi.org/10.1016/0741-983X(90)90100-G.

A. Feinberg “A re-radiation model for the earth’s energy budget and the albedo advantage in global warming mitigation” Dyn Atmos. Oceans. 97 (2022) 101267. Doi: 10.1016/j.dynatmoce.2021.101267.

K. Samy A. Ashraf S. Khamees, Mostafa Morsy, A. H. Hassan, U. Ali Rahoma & Tarek Sayad “Evaluation of global solar radiation estimated from ECMWF-ERA5 and validation with measured data over Egypt” Turkish journal of computer and mathematical education, 12 (2021) 3996.

K. Samy A. Shaffie, A. M. “Attenuation of the solar energy by aerosol particles: A review and case study” Renewable and Sustainable Energy Reviews 54 (2016) 363. http://dx.doi.org/10.1016/j.rser.2015.09.085.

K. Samy A., Shaffie, A. M., H. A. S. Aly “Comparative and Evaluate of Empirical Models for Estimation Global Solar Radiation in AlBaha, KSA Journal of Earth Science & Climate Change 9 (2018) 9. doi:10.4172/2157-7617.1000492.

S. Raja Y., K. V. Sharma, A. V. M. S...Rao AVMS. “New correlations for estimation of monthly average daily solar radiation on a horizontal surface using meteorological data” Int J Ambient Energy, 34 (2013) 160. http://dx.doi.org/10.1080/01430750.2012.740430.

Y. He, X. Zhang, L. Quan, “Estimation of hourly average illuminance under clear sky conditions in Chongqing”, PLoS ONE 15 (2020) e0237971. doi: 10.1371/journal.pone.0237971.

N. A. Elagib, S. H. Alvi, M. G. Mansell “Correlation ships between clearness index and relative sunshine duration for Sudan” Renew. Energy, 17 (4) (1999) 473. http:// dx.doi.org/10.1016/S0960-1481(98)00773-3.

W. Yao, Z. Li, Y. Wang, F. Jiang, L. Hu “Evaluation of global solar radiation models for Shanghai, China. Energy Convers Manag., 84 (2014) 597. http://dx.doi.org/10. 1016/j.enconman.2014.04.017.

A. Khogali “Solar radiation over Sudan-Comparisons of measured and predicted data” Sol Energy, 31 (1) (1983) 45. http://dx.doi.org/10.1016/0038-092X(83)90032-4.

A. Khogali, M. R. I., Ramadan, Z. E. H. Ali, Y. A. Fattah. “Global and diffuse solar irradiance in Yemen (Y.A.R.)”, Sol Energy, 31 (1983) 55. http://dx.doi.org/10.1016/0038-092X (83)90033-6.

H. P. Garg, S. N. Garg “Correlation of monthly-average daily global, diffuse and beam radiation with bright sunshine hours” Energy Convers Manag., 25 (4) (1985) 409–17, http://dx.doi.org/10.1016/01968904(85)90004-4.

S. M. A. Ibrahim “Predicted and measured global solar radiation in Egypt” Solar Energy, 35 (1985) 185. http://dx.doi.org/10.1016/0038092X(85)90009-X.

R. C. Srivastava, H. Pandey “Estimating Angstrom-Prescott Coefficients for India and Developing a Correlation between Sunshine Hours and Global Solar Radiation for India’ ISRN Renew Energy, 2013 (2013) 403742. http://dx.doi.org/10.1155/2013/403742.

S. K. Srivastava, O. P. Singh, G. N. Pandey “Estimation of global so26

lar radiation in Uttar Pradesh (India) and comparison of some existing correlations, Solar Energy, 51 (1993) 27. http://dx.doi.org/10.1016/0038092X(93)90038-P.

J. A. Ben, S. Rafa, Essounbouli N, Hamzaoui A, Hnaien F, Yalaoui F. “Estimation of global solar radiation using three simple methods’, Energy

Procedia, 42 (2013) 406. http://dx.doi.org/10.1016/j.egypro.2013.11.041.

H. Khorasanizadeh, K. Mohammad “Introducing the best model for predicting the monthly mean global solar radiation over six major cities of Iran”, Energy, 51 (2013) 257. http://dx.doi.org/10.1016/j.energy.2012.11.007.

M. Suthar, G. K. Singh, R. P. Saini “Effects of air pollution for estimating global solar radiation in India”, Int J Sustain Energy, (2014) 1. http://dx.doi.org/10. 1080/14786451.2014.979348.

V. K. Marwal, R. C. Punia, N. Sengar, S. Mahawar, P. Dashora “A comparative study of correlation functions for estimation of monthly mean daily global solar radiation for Jaipur, Rajasthan (India)”, Indian J Sci. Technol. 5 (2012) 2729.

A. K. Katiyar, A. Kumar, C. K. Pandey, B. Das “A comparative study of monthly mean daily clear sky radiation over India”, Int. J Energy Environ, 1(1) (2010) 177–82.

K. Zabara “Estimation of the global solar radiation in Greece’ Sol Wind Technol., 3(4) (1986) 267–72, http://dx.doi.org/10.1016/0741983X(86)90005-6.

A. A. Flocas “Estimation and prediction of global solar radiation over Greece”, Sol Energy, 24(1) (1980) 63–70, http://dx.doi.org/10.1016/0038-092X(80)90021-3.

P. C. Jain “A model for diffuse and global irradiation on horizontal surfaces” Solar Energy, 45(5) (1990) 301–8, http://dx.doi.org/10.1016/0038092X(90)90015-5.

V. Bahel, H. Bakhsh, R. Srinivasan “A correlation for estimation solar radiation” Energy, 12(2) (1987) 131–5, http://dx.doi.org/10.1016/03605442(87)90117-4.

A. A. L. Maduekwe “Predicting the components of the total hemispherical solar radiation from sunshine duration in Lagos” Nigeria. Renew Energy, 6(7) (1995) 807–12, http://dx.doi.org/10.1016/0960-1481(95)91008-2.

M. F. Li, X. P. Tang, W. Wu, H. Bin Liu, “general models for estimating daily global solar radiation for different solar radiation zones in mainland China,”. Energy Convers Manag., 70 (2013) 139–48, http://dx.doi.org/10.1016/j.enconman.2013. 03.004.

J. K. Yohanna, I.N. Itodo, V. I. Umogbai “A model for determining the global solar radiation for Makurdi, Nigeria” Renew Energy, 36(7) (2011) 1989–92, http://dx.doi. org/10.1016/j.renene.2010.12.028.

M. Chegaar, A. Chibani “Global solar radiation estimation in Algeria” Energy Convers Manag., 42(8) (2001) 967–73, http://dx.doi.org/10.1016/S0196-8904(00) 00105-9.

C. I. Ezekwe, C. C. O. Ezeilo “Measured solar radiation in a Nigerian environment compared with predicted data” Solar Energy, 26(2) (1981) 181–6, http://dx.doi.org/ 10.1016/0038-092X (81)90083-9.

A. S. Sambo “Empirical models for the correlation of global solar radiation with meteorological data for Northern, Nigeria” Solar Wind Technol., 3(2) (1986) 89–93, http://dx.doi.org/10.1016/0741-983X(86)90019-6.

E. A. Jackson, F. O. Akufo “Correlations between monthly average daily global irradiation and relative duration of sunshine at Kumasi” Energy Convers Manag., 33(1) (1992) 33(1):13–22, http://dx.doi.org/10.1016/0196-8904(92)90142-J.

A. Kuye, S. Jagtap “Analysis of solar radiation data for Port Harcourt, Nigeria”, Solar Energy, 49(2) (1992) 139–45. http://dx.doi.org/10.1016/0038-092X(92)90148-4.

|B. Safari, J. Gasore “Estimation of Global Solar Radiation in Rwanda Using Empirical Models”, Asian J Sci. Res., 2(2) (2009) 68–75, http:// dx.doi.org/ 10. 3923 /ajsr.2009. 68.75.

B. I. Tijjani “Comparison between first and second order Angstrom type¨ models for sunshine hours of Katsina, Nigeria. Bayero “J Pure Appl Sci., 4(2) (2011) 24–7. http:// dx.doi.org/10.4314/bajopas.v4i2.5.

E. E. Ituen, N. U. Esen, S. C. Nwokolo, E. G. Udo “Prediction of global solar radiation using relative humidity, maximum temperature and sunshine hours in Uyo, in the Niger Delta region, Nigeria” Adv. Appl. Sci. Res, 3(4) (2012) 1923–37.

B. C. Isikwue, A. N. Amah, P. O. Agada “Empirical model for the estimation of global solar radiation in Makurdi, Nigeria” Glob J Sci. Front Research, 12(1) (2012) 649–53.

A. O. N. Nwokoye, G. N. Okonkwo. “Testing the predictive efficiencies of four Angstrom- type models for estimating solar radiation in Bida Nigeria” IOSR J Appl. Phys., 6(3) (2014)15–8.

M. S. Adaramola ‘Estimating global solar radiation using common meteorological data in Akure, Nigeria” Renew Energy, 47 (2012) 38–44, http://dx.doi.org/10.1016/ j.renene.2012.04.005.

D. B. Ampratwum, A. S. S. Dorvlo “Estimation of solar radiation from the number of sunshine hours” Appl Energy, 63(3) (1999) 161–7, http://dx.doi.org/10.1016/ S0306-2619(99)00025-2.

K. Ulgen, A. Hepbasli “Solar Radiation Models. Part 2: Comparison and Developing New Models” Energy Sources, 26(5) (2004) 521–30, http://dx.doi.org/10.1080/ 00908310490429704.

I. T. Togrul, To? grul H. “Global solar radiation over Turkey: compari-? son of predicted and measured data” Renew Energy, 25(1) (2002) 55–67, http://dx.doi.org/ 10.1016/S0960-1481(00)00197-X.

J. Abdul-Aziz, A. A-Nagi, A. A. R. Zumailan “Global solar radiation estimation from relative sunshine hours in Yemen” Renew Energy, 3(6-7) (1993) 645–53, http://dx. doi.org/10.1016/0960-1481 (93)90071-N.

M. A. Sherif, A. A. Goje, M. W. Zannah “Estimation of global solar radiation using sunshine duration in Maiduguri, Nigeria” Niger J Phys., 25(1) (2014) 35–9.

O. G. Nwokoye “Development of models for Predicting Global solar radiation in Minna, Nigeria using meteorological data” IOSR J Appl Phys, 6(3) (2014) 1–6.

A. Assi, M. Jama, M. Al-Shamisi “Prediction of global solar radiation in Abu Dhabi” ISRN Renew Energy, (2012) 1–10.

R. Said, M. Mansor, T. Abuain “Estimation of global and diffuse radiation at Tripoli” Renew Energy, 14(1-4) (1998) 221–7, http://dx.doi.org/10.1016/S0960-1481(98) 00071-8.

M. Tiris, C. Tiris, I. E. Ture “Correlations of monthly-average daily¨ global, diffuse and beam radiations with hours of bright sunshine in Gebze, Turkey”, Energy Convers Manag., 37(9) (1996) 1417–21, http://dx.doi.org/10.1016/0196-8904(95)00227-8.

P. K. Veeran, S. Kumar “Analysis of monthly average daily global radiation and monthly average sunshine duration at two tropical locations” Renew Energy, 3(8) (1993) 935–9, http://dx.doi.org/10.1016/09601481(93)90054-K.

G. Lewis “An empirical relation for estimating global irradiation for Tennessee, U.S.A. Energy Convers Manag., 33(12) (1992) 1097–9, http://dx.doi.org/10.1016/ 0196- 904(92)90007-J.

S. Jain S, p. C. Jain “A comparison of the Angstrom-type correlations and the estimation of monthly average daily global irradiation”, Solar Energy, 40(2) (1988) 93–8, http://dx.doi.org/10.1016/0038-092X(88)90076-X.

P. V. C. Luhanga, J. Andringa “Characteristics of solar radiation at Sebele, Gaborone, Botswana”, Solar Energy, 44 (1990) 77. http://dx.doi.org/10.1016/0038-092X (90)90069-O.

M. A. Alsaad “Characteristic distribution of global solar radiation for Amman, Jordan”, Solar Wind Technol., 7 (1990) 261. http://dx.doi.org/10.1016/0741- 983X (90) 90095-J.

K. Hinrichsen “The Angstrom formula with coefficients having a physical meaning” Solar Energy, 55(6) (1994) 491. http://dx.doi.org/10.1016/0038-092X(94)90656-4.

J. K. Page “The estimation of monthly mean value of daily total short wave radiation on vertical and inclined surfaces from sunshine records 40S-40N. In: Proceedings of the United Nations Conference on New Sources of Energy: Solar Energy”, Wind Power and Geothermal Energy, (1967) pp. 21–31.

H. Kor “Global solar radiation prediction model with random forest algorithm”, Thermal Sci., 25 (2021) 31. doi: 10.2298/TSCI200608004K.

E. O. Ogolo “Evaluating the performance of some predictive models for estimating global solar radiation across varying climatic conditions in Nigeria”, Indian J Radio Sp. Phys., 39 (2010) 121.

A. Louche, G. Notton, P. Poggi & G. Simonnot, “Correlations for direct normal and global horizontal irradiation on a French Mediterranean site” Solar Energy 46(4) (1991) 261. http://dx.doi.org/10.1016/0038092X(91)90072-5.

F. J. Newland, “A study of solar radiation models for the coastal region of South China”, Solar Energy 43 (1989) 227. http://dx.doi.org/10.1016/0038-092X(89) 90022-4.

K. K. Gopinathan & A. Soler “A sunshine dependent global insolation model for latitudes between 60?N and 70?N’, Renew Energy 2 (1992)

http://dx.doi. org/10.1016/0960-1481 (92)90073-C.

H. Aras, O. Balli & A. Hepbasli, “Global solar radiation potential, part 1: model development” Energy Sources 1 (2006) 303, http://dx.doi.org/10.1080/ 15567240500398040.

V. Sivamadhavi & R. S. Selvaraj, “Robust regression technique to estimate the global radiation”, Indian J Radio Sp. Phys. 41 (2012) 17.

S. Amoussa, “Estimation of global solar radiation in Benin”, Renew Energy, 2(3) (1992) 311, http://dx.doi.org/10.1016/0960-1481(92)90043-3.

M. El-Metwally, “Simple new methods to estimate global solar radiation with meteorological data in Egypt” Atmospheric Research, 69 (2004) 217.

F. Ahmad & I. Ulfat, “Empirical models for the correlation of monthly average daily global solar radiation with hours of sunshine on a horizontal surface at Karachi”, Pakistan. Turk J Phys. 28 (2004) 301.

L. E. Akpabio, S. O. Udo & S. E. Etuk, “Modeling global solar radiation for a tropical location: Onne, Nigeria”, Turk. J. Phys. 29 (2005) 63.

R. B. Benson, M. V. Paris, J. E. Sherry & C. G. Justus, “Estimation of daily and monthly direct diffuse and global solar radiation from sunshine duration measurements”, Solar Energy 32 (1984) 523.

E. A. Arinze & S. E. Obi, “Solar energy availability and prediction in Northern Nigeria”, Solar Energy 3 (1984) 3.

C. O. Folayan & A. Ogunbiyi, Estimating global solar radiation in Samaru, Presented at the SESN National Solar Energy Forum, held at Zaira, 25 June 1986.

M. Banna, M. Gnininri, “Estimation of monthly average hourly and daily global irradiance in Togo” RERIC Int. Energy J. 20 (1998) 21.

E. O. Falayi, J. O. Adepitan & A. B. Rabiu “Empirical models for the correlation of global solar radiation with meteorological data for Iseyin, Nigeria” Int. J. Phys. Sci. 3 (2008) 210.

C. Augustine & M. N. Nnabuchi, “Analysis of some meteorological data for some selected cities in the Eastern and Southern zone of Nigeria”, Afr. J. Environ. Sci. Technol., 4 (2010) 092.

S. Olayinka, “Estimation of global and diffuse solar radiations for selected cities in Nigeria” Int. J. Energy Environ. Eng. 3 (2011) 13.

J. K. Yohanna, I. S. Itodo & V. I. Umogbai “A model for determining the global solar radiation in Warri, Nigeria”, Pac. J. Sci. Technol., 10 (2009) 574.

D. Yakubu & D. W. Medugu “Relationship between the global solar radiation and the sunshine duration in Abuja, Nigeria”, Ozean J. Appl. Sci., 5 (2012) 221.

B. Musa, U. Zangina & M. Aminu “Estimation of global solar radiation in Maiduguri, Nigeria using Angstrom model”, APRN J. Eng. Appl. Sci. 7 (2012) 1623.

O. T. Kolebaje & L. O. Mustapha “On the performance of some predictive models for global solar radiation estimates in tropical stations: Port Harcourt and Lokoja”, Afr. Rev. Phys., 7 (2012) 145.

O. S. Ohunakin, M. S. Adaramola, O. M. Oyewolu & R. O. Fagbenle

“Correlations for estimating solar radiation using sunshine hours and temperature measurement in Oshogbo, Osun State, Nigeria”, Frontiers in Energy 7 (2013) 214. https://doi.org/10.1007/s11708-013-0241-2.

A. Solomon “Evaluation of the regression parameters of the angstrompage model for predicting global solar radiation”, J. Energy South. Afr. 24 (2013) 46.

N. N. Gana & D. O. Akpootu “Angstrom type empirical correlation for estimating global solar radiation in North-Eastern Nigeria”,Int. J. Eng. Sci. 2 (2013a) 58.

D. Afungchui & R. N. Neba “Global solar radiation of some regions of Cameroon using the linear Angstrom and non-linear polynomial relations (Part 1) models Development”, Int. J. Renewable Energy Res. 3 (2013) 984.

E. A. Sarsah & F. A. Uba “Monthly-specific daily global solar radiation estimates based on sunshine hours in WA, Ghana”, Int. J. Sci. Technol. Res. 2 (2013) 246.

C. U. Ike “Global solar radiation in Awka, South East, Nigeria using weather station”, APRN J. Sci. Technol. 4 (2014) 678.

G. D. Sani, E. T. Mohd, B. G. Mohd, M. G. Usman & G. A. Musa,

“The correlation functions and estimation of global solar radiation studies using sunshine base model for Kano, Nigeria”, Adv. Phys. Theor. App. 39 (2015) 55.

M. A. Adesina, J. S. Ibrahim & U. D. Ponzi, “A model for predicting solar radiation for Nasarawa, Nigeria”, Int. J. Mod. Eng. Sci. 4 (2015) 22.

G. I. Olatona & A. E. Adeleke, “Estimation of solar radiation over Ibadan from routine meteorological parameters”, Int. J. Eng. Sci. 4 (2015) 44.

A. J. Innocent, O. E. Jacob, G. C. Chibuzo, I. James & D. O. Odeh “Estimation of global solar radiation in Gusua, Nigeria”, Int. J. Res. Eng. Technol. 3 (2015) 27.

M. O. Boluwaji & D. O. Onyedi “Comparative study of ground measured, satellite-derived, and estimated global solar radiation data in Nigeria”, J. Solar Energy 10 (2016) 1.

O. Coulibaly, A. Ouedoraogo “Correlation of global solar radiation of eight synoptic stations in Burkina Faso based on linear and multiple linear regression methods”, J. Sol. Energy 2016 (2016) 9.

M. S. Okundamiya & A. N. Nzeako “Empirical model for estimating global solar radiation on horizontal surfaces for selected Cities in the six Geopolitical zones in Nigeria”, J. Control Sci. Eng. 2011 (2011) 356405. http://dx.doi.org/10.1155/2011/356405.

T. R. Ayodele “Performance assessment of empirical models for prediction of daily and monthly average global solar radiation: the case study of Ibadan, Nigeria”, Int. J. Ambient Energy 38 (2016) 803. http://dx.doi.org/10.1080/01430750.2016.

B. G. Akinoglu & A. Ecevit “A further comparison and discussion of sunshine based models to estimate global solar radiation”, Energy 15 (1990) 865.

I. T. Togrul, E. Onat “A comparison of estimated and measured values of solar radiation in Elazig, Turkey”, Renew Energy 20 (2000) 243. http://dx.doi.org/10.1016/S0960-1481(99)00099-3.

S. Ravichandran & J. D. Rathnaraj “Global solar radiation model for Chennai India”, J Appl Sci. Research 11 (2015) 230.

T. D. M. A. Samuel “Estimation of global radiation for Sri Lanka”, Solar Energy 47 (1991) 333 http://dx.doi.org/10.1016/0038-092X(91)90026-S.

C. Ertekin & O. Yaldiz, “Comparison of some existing models for estimating global solar radiation for Antalya (Turkey)”, Energy Convers Manag. 41 (2000) 311. http://dx.doi.org/10.1016/S0196-8904(99)001272.

K. Ulgen, A. Hepbasli. “Comparison of solar radiation correlations for Izmir, Turkey”, Int. J Energy Res. 26 (2002) 413.

S. Tahran & A. Sar, “Model selection for global and diffuse radiation over the Central Black Sea (CBS) region of Turkey”, Energy Conversion and Management 46 (2005) 605.

F. W. Burari, M. Abduluzeer, M. N. Sulaiman “Mathematical models for the prediction of global solar radiation for Maiduguri, Nigeria. Niger”, J. Trop. Eng. 6 (2006) 32.

K. Zabara “Estimation of the global solar radiation in Greece. Solar and Wind Technology”, 3 (1986) 267.

A. A. Trabea, Shaltout M. A. M. “Correlation of global solar radiation with meteorological parameters over Egypt”, Renewable Energy 21 (2000) 297.

O. O. Ajayi, O. D. Ohijeagbon, C. E. Nwadialo, O. Olasope “New model to estimate daily global solar radiation over Nigeria”, Sustainable Energy Technol. Assess. 5 (2014) 28.

Published

2022-10-09

How to Cite

Performance Evaluation and Statistical Analysis of Solar Energy Modeling: A Review and Case Study. (2022). Journal of the Nigerian Society of Physical Sciences, 4(4), 911. https://doi.org/10.46481/jnsps.2022.911

Issue

Section

Review Article

How to Cite

Performance Evaluation and Statistical Analysis of Solar Energy Modeling: A Review and Case Study. (2022). Journal of the Nigerian Society of Physical Sciences, 4(4), 911. https://doi.org/10.46481/jnsps.2022.911