Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria

Davidson Odafe Akpootu; Bello Idrith Tijjani; Usman Mohammed Gana

doi:doi:10.11648/j.ajpa.20190705.15

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Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria

Davidson Odafe Akpootu, Bello Idrith Tijjani, Usman Mohammed Gana

Published in American Journal of Physics and Applications (Volume 7, Issue 5)

Received: 26 August 2019 Accepted: 24 September 2019 Published: 30 October 2019

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Abstract

This study investigates the most accurate sunshine and temperature dependent models for estimating global solar radiation over Makurdi and Ibadan situated in the Guinea savannah of Nigeria by comparing nine (9) different existing sunshine dependent models. The study also proposed two temperature dependent models that took the form of quadratic logarithmic and quadratic exponential and were compared to three existing temperature dependent models (Chen, Hargreaves and Samani (HS) and Garcia). The measured monthly average daily global solar radiation, sunshine hours, maximum and minimum temperature meteorological parameters during the period of thirty one (1980-2010) years was utilized and the accuracy of the sunshine and temperature dependent models to ascertain the most suitable models in each location were tested using seven various statistical validation indicators of coefficient of determination (R²), Mean Bias Error (MBE), Root Mean Square Error (RMSE), Mean Percentage Error (MPE), t-test, Nash-Sutcliffe Equation (NSE) and Index of Agreement (IA). The results revealed that the exponent sunshine dependent model proposed by Bakirci and the linear exponential sunshine dependent model proposed by Bakirci were found more accurate for estimating global solar radiation in Makurdi and Ibadan respectively. The proposed quadratic logarithmic and quadratic exponential temperature dependent models were found more suitable for estimating global solar radiation in Makurdi and Ibadan respectively. These recommended models can be found appropriate, if properly calibrated in regions with similar climatic information. The HS temperature dependent model evaluated in this study for Ibadan was compared with those available in literatures and was found more suitable. Furthermore, the most suitable sunshine dependent model was found more suitable for global solar radiation estimation when compared to the most suitable temperature dependent model in each of the studied locations and this was testified from the figures of the comparison between the measured and estimated sunshine and temperature dependent models as the sunshine dependent models depicts the best fitting with the measured global solar radiation data.

Published in	American Journal of Physics and Applications (Volume 7, Issue 5)
DOI	10.11648/j.ajpa.20190705.15
Page(s)	125-135
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Global Solar Radiation, Guinea Savannah Climatic Zone, Sunshine and Temperature Dependent Models, Statistical Validation Indicators, Meteorological Parameters

References

[1]	Alam, M., Saha, S., Chowdhury, M and Rahman, M. (2005). Simulation of Solar Radiation System, Am. J. Appl. Sci., 2 (4), 751-758.
[2]	Al-Salihi, A., Kadum, M and Mohammed, A. (2010). Estimation of Global Solar Radiation on Horizontal Surface Using Meteorological Measurement for different Cities in Iraq, Asian J. Sci. Res., 3 (4), 240–248.
[3]	G. A. Baigorria, E. B. Villegas, I. Trebejo, J. F. Carlos, and R. Quiroz, “Atmospheric transmissivity: distribution and empirical estimation around the central Andes,” International Journalof Climatology, vol. 24, no. 9, pp. 1121–1136, 2004.
[4]	Iziomon, M. G and Mayer, H. (2002). Assessment of some global solar radiation parameterizations. Journal of Atmospheric and Solar-Terrestrial Physics, vol. 64, no. 15, pp. 1631–1643.
[5]	Li, H., Ma, W., Lian, Y., Wang, X and Zhao, L. (2011). “Global solar radiation estimation with sunshine duration in Tibet, China,” Renewable Energy, vol.36, no. 11, pp. 3141–3145.
[6]	Rivington, M. Bellocchi, G., Matthews, K. B and Buchan, K. (2005). Evaluation of three model estimations of solar radiation at 24 UK stations,” Agricultural and Forest Meteorology, vol. 132, no. 3-4, pp. 228–243.
[7]	Ogolo, E. O. (2010). Evaluating the performance of some predictive models for estimating global solar radiation across varying climatic conditions in Nigeria. Indian Journal of Radio & space Physics, 39, 121-131.
[8]	Rahimikhoob, A. (2010). Estimating global solar radiation using artificial neural network and air temperature data in a semi-arid environment,” Renewable Energy, vol. 35, no. 9, pp. 2131–2135.
[9]	Abraha, M. G and Savage, M. J. (2008). Comparison of estimates of daily solar radiation from air temperature range for application in crop simulations,” Agricultural and Forest Meteorology, vol. 148, no. 3, pp. 401–416.
[10]	Huashan, L., Fei, C., Xianlong, W and Weibin, M. (2014). A Temperature-Based Model for Estimating Monthly Average Daily Global Solar Radiation in China. Hindawi Publishing Corporation. The Scientific World Journal, Volume 2014 1-9. http://dx.doi.org/10.1155/2014/128754.
[11]	Ångström, A. (1924). Solar and terrestrial radiation. Quarterly Journal of the Royal Meteorological society, 50, 121-125.
[12]	Page, J. K. (1964). The estimation of monthly mean values of daily total short-wave radiation on vertical and inclined surfaces from sunshine records for latitude 40°N-40°S. Proceeding of the UN Conference on New Sources of Energy, Rome, 4, 378–390.
[13]	El-Sebaii, A and Trabea, A. (2005). Estimation of Global Solar Radiation on Horizontal Surfaces Over Egypt, Egypt. J. Solids, 28, 1, 163-175.
[14]	Isikwue, B. C., Amah, A. N and Agada, P. O. (2012). Empirical Model for the Estimation of Global Solar Radiation in Makurdi, Nigeria, Global Journal of Science Frontier Research Physics & Space Science., 12 (1).
[15]	Gadiwala, M. S., Usman, A., Akhtar, M and Jamil, K. (2013). Empirical Models for the Estimation of Global Solar Radiation with Sunshine Hours on Horizontal Surface in Various Cities of Pakistan, Pakistan Journal of Meteorology., 9 (18), 43–49.
[16]	Olatona, G. I and Adeleke, A. E. (2015). Estimation of Solar Radiation over Ibadan from Routine Meteorological Parameters, The International Journal Of Engineering And Science (IJES)., 4 (3), 44–51.
[17]	WMO, A Note on Climatological Normal. Technical Note. World Meteorological Organization, Geneva, Switzerland. (1967).
[18]	Ojo, O. S and Adeyemi, B. (2014). Estimation of Solar Radiation using Air Temperature and Geographical Coordinate over Nigeria, The Pacific Journal of Science and Technology, 15, 2, 78–88.
[19]	Olaniran, O. J. (1983). The Monsoon factor and the seasonality of rainfall distribution In Nigeria, Malaysian J Trop Geog, 7 pp 38-45.
[20]	Iqbal, M. (1983). An introduction to solar radiation, first ed. Academic Press, New York.
[21]	Zekai, S. (2008). Solar energy fundamentals and modeling techniques: atmosphere, Environment, climate change and renewable energy, first ed. Springer, London.
[22]	Falayi, E. O., Rabiu, A. B and Teliat, R. O. (2011). Correlations to estimate monthly mean of daily diffuse solar radiation in some selected cities in Nigeria, Pelagia Research Library, 2, 4, 480-490.
[23]	Prescott, J. A. (1940). Transactions of the Royal Society of Australia 48, 114-8.
[24]	Ogelman, H., Ecevit, A and Tasdemiroglu, E. (1984). A new method for estimating solar radiation from bright sunshine data, Solar Energy, 33, 619-25.
[25]	Samuel, T. D. M. A. (1991). Estimation of global radiation for Sri Lanka, Solar Energy, 47, 333-337.
[26]	Newland, F. J. (1988). A study of solar radiation models for the coastal regions of South China, Solar Energy, 31 227–235.
[27]	Ampratwum, D. B and Dorvlo, A. S. S. (1999). Estimation of solar radiation from the number sunshine hours, Applied Energy, 63 161-167.
[28]	Bakirci, K. (2009). Correlations for estimation of daily global solar radiation with hours of bright sunshine in Turkey, Energy, 34, 485-501.
[29]	Almorox, J and Hontoria, C. (2004). Global solar radiation estimation using sunshine duration in Spain, Energy Conversion and Management, 45, 1529–1535.
[30]	Louche, A., Notton, G., Poggi, P and Simonnot, G. (1991). Correlations for direct and Global horizontal irradiation on a French Mediterranean site, Solar Energy, 46, 261–6.
[31]	Chen, R., Ersi, K., Yang, J., Lu, Sand Zhao, W. (2004). Validation of five global radiation Models with measured daily data in China. Energy Conversion and Management, 45, 1759-1769.
[32]	Hargreaves, G. and Samani, Z. (1982). Estimating potential evapotranspiration. Journal of Irrigation and Drainage Engineering. ASCE, 108 225-230.
[33]	Garcia, J. V. (1994). PrincipiosF’isicos de la Climatolog’ia. Ediciones UNALM (Universidad Nacional Agraria La Molina: Lima, Peru).
[34]	Bevington, P. R. (1969). Data reduction and error analysis for the physical sciences, first ed. McGraw Hill Book Co., New York.
[35]	Merges, H. O., Ertekin, C and Sonmete, M. H. (2006). Evaluation of global solar radiation Models for Konya, Turkey. Energy Conversion and Management, 47, 3149-3173.
[36]	Sanusi, Y. K and Abisoye, S. G. (2011). Estimation of Solar Radiation at Ibadan, Nigeria, Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS), 2 (4), 701–705.

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APA Style

Davidson Odafe Akpootu, Bello Idrith Tijjani, Usman Mohammed Gana. (2019). Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria. American Journal of Physics and Applications, 7(5), 125-135. https://doi.org/10.11648/j.ajpa.20190705.15

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ACS Style

Davidson Odafe Akpootu; Bello Idrith Tijjani; Usman Mohammed Gana. Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria. Am. J. Phys. Appl. 2019, 7(5), 125-135. doi: 10.11648/j.ajpa.20190705.15

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AMA Style

Davidson Odafe Akpootu, Bello Idrith Tijjani, Usman Mohammed Gana. Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria. Am J Phys Appl. 2019;7(5):125-135. doi: 10.11648/j.ajpa.20190705.15

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@article{10.11648/j.ajpa.20190705.15,
  author = {Davidson Odafe Akpootu and Bello Idrith Tijjani and Usman Mohammed Gana},
  title = {Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria},
  journal = {American Journal of Physics and Applications},
  volume = {7},
  number = {5},
  pages = {125-135},
  doi = {10.11648/j.ajpa.20190705.15},
  url = {https://doi.org/10.11648/j.ajpa.20190705.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20190705.15},
  abstract = {This study investigates the most accurate sunshine and temperature dependent models for estimating global solar radiation over Makurdi and Ibadan situated in the Guinea savannah of Nigeria by comparing nine (9) different existing sunshine dependent models. The study also proposed two temperature dependent models that took the form of quadratic logarithmic and quadratic exponential and were compared to three existing temperature dependent models (Chen, Hargreaves and Samani (HS) and Garcia). The measured monthly average daily global solar radiation, sunshine hours, maximum and minimum temperature meteorological parameters during the period of thirty one (1980-2010) years was utilized and the accuracy of the sunshine and temperature dependent models to ascertain the most suitable models in each location were tested using seven various statistical validation indicators of coefficient of determination (R2), Mean Bias Error (MBE), Root Mean Square Error (RMSE), Mean Percentage Error (MPE), t-test, Nash-Sutcliffe Equation (NSE) and Index of Agreement (IA). The results revealed that the exponent sunshine dependent model proposed by Bakirci and the linear exponential sunshine dependent model proposed by Bakirci were found more accurate for estimating global solar radiation in Makurdi and Ibadan respectively. The proposed quadratic logarithmic and quadratic exponential temperature dependent models were found more suitable for estimating global solar radiation in Makurdi and Ibadan respectively. These recommended models can be found appropriate, if properly calibrated in regions with similar climatic information. The HS temperature dependent model evaluated in this study for Ibadan was compared with those available in literatures and was found more suitable. Furthermore, the most suitable sunshine dependent model was found more suitable for global solar radiation estimation when compared to the most suitable temperature dependent model in each of the studied locations and this was testified from the figures of the comparison between the measured and estimated sunshine and temperature dependent models as the sunshine dependent models depicts the best fitting with the measured global solar radiation data.},
 year = {2019}
}

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TY  - JOUR
T1  - Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria
AU  - Davidson Odafe Akpootu
AU  - Bello Idrith Tijjani
AU  - Usman Mohammed Gana
Y1  - 2019/10/30
PY  - 2019
N1  - https://doi.org/10.11648/j.ajpa.20190705.15
DO  - 10.11648/j.ajpa.20190705.15
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 125
EP  - 135
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20190705.15
AB  - This study investigates the most accurate sunshine and temperature dependent models for estimating global solar radiation over Makurdi and Ibadan situated in the Guinea savannah of Nigeria by comparing nine (9) different existing sunshine dependent models. The study also proposed two temperature dependent models that took the form of quadratic logarithmic and quadratic exponential and were compared to three existing temperature dependent models (Chen, Hargreaves and Samani (HS) and Garcia). The measured monthly average daily global solar radiation, sunshine hours, maximum and minimum temperature meteorological parameters during the period of thirty one (1980-2010) years was utilized and the accuracy of the sunshine and temperature dependent models to ascertain the most suitable models in each location were tested using seven various statistical validation indicators of coefficient of determination (R2), Mean Bias Error (MBE), Root Mean Square Error (RMSE), Mean Percentage Error (MPE), t-test, Nash-Sutcliffe Equation (NSE) and Index of Agreement (IA). The results revealed that the exponent sunshine dependent model proposed by Bakirci and the linear exponential sunshine dependent model proposed by Bakirci were found more accurate for estimating global solar radiation in Makurdi and Ibadan respectively. The proposed quadratic logarithmic and quadratic exponential temperature dependent models were found more suitable for estimating global solar radiation in Makurdi and Ibadan respectively. These recommended models can be found appropriate, if properly calibrated in regions with similar climatic information. The HS temperature dependent model evaluated in this study for Ibadan was compared with those available in literatures and was found more suitable. Furthermore, the most suitable sunshine dependent model was found more suitable for global solar radiation estimation when compared to the most suitable temperature dependent model in each of the studied locations and this was testified from the figures of the comparison between the measured and estimated sunshine and temperature dependent models as the sunshine dependent models depicts the best fitting with the measured global solar radiation data.
VL  - 7
IS  - 5
ER  -

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Author Information

Davidson Odafe Akpootu

Department of Physics, Usmanu Danfodiyo University, Sokoto, Nigeria
Bello Idrith Tijjani

Department of Physics, Bayero University, Kano, Nigeria
Usman Mohammed Gana

Department of Physics, Bayero University, Kano, Nigeria

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APA Style

Davidson Odafe Akpootu, Bello Idrith Tijjani, Usman Mohammed Gana. (2019). Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria. American Journal of Physics and Applications, 7(5), 125-135. https://doi.org/10.11648/j.ajpa.20190705.15

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ACS Style

Davidson Odafe Akpootu; Bello Idrith Tijjani; Usman Mohammed Gana. Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria. Am. J. Phys. Appl. 2019, 7(5), 125-135. doi: 10.11648/j.ajpa.20190705.15

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AMA Style

Davidson Odafe Akpootu, Bello Idrith Tijjani, Usman Mohammed Gana. Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria. Am J Phys Appl. 2019;7(5):125-135. doi: 10.11648/j.ajpa.20190705.15

Copy | Download

@article{10.11648/j.ajpa.20190705.15,
  author = {Davidson Odafe Akpootu and Bello Idrith Tijjani and Usman Mohammed Gana},
  title = {Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria},
  journal = {American Journal of Physics and Applications},
  volume = {7},
  number = {5},
  pages = {125-135},
  doi = {10.11648/j.ajpa.20190705.15},
  url = {https://doi.org/10.11648/j.ajpa.20190705.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20190705.15},
  abstract = {This study investigates the most accurate sunshine and temperature dependent models for estimating global solar radiation over Makurdi and Ibadan situated in the Guinea savannah of Nigeria by comparing nine (9) different existing sunshine dependent models. The study also proposed two temperature dependent models that took the form of quadratic logarithmic and quadratic exponential and were compared to three existing temperature dependent models (Chen, Hargreaves and Samani (HS) and Garcia). The measured monthly average daily global solar radiation, sunshine hours, maximum and minimum temperature meteorological parameters during the period of thirty one (1980-2010) years was utilized and the accuracy of the sunshine and temperature dependent models to ascertain the most suitable models in each location were tested using seven various statistical validation indicators of coefficient of determination (R2), Mean Bias Error (MBE), Root Mean Square Error (RMSE), Mean Percentage Error (MPE), t-test, Nash-Sutcliffe Equation (NSE) and Index of Agreement (IA). The results revealed that the exponent sunshine dependent model proposed by Bakirci and the linear exponential sunshine dependent model proposed by Bakirci were found more accurate for estimating global solar radiation in Makurdi and Ibadan respectively. The proposed quadratic logarithmic and quadratic exponential temperature dependent models were found more suitable for estimating global solar radiation in Makurdi and Ibadan respectively. These recommended models can be found appropriate, if properly calibrated in regions with similar climatic information. The HS temperature dependent model evaluated in this study for Ibadan was compared with those available in literatures and was found more suitable. Furthermore, the most suitable sunshine dependent model was found more suitable for global solar radiation estimation when compared to the most suitable temperature dependent model in each of the studied locations and this was testified from the figures of the comparison between the measured and estimated sunshine and temperature dependent models as the sunshine dependent models depicts the best fitting with the measured global solar radiation data.},
 year = {2019}
}

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TY  - JOUR
T1  - Sunshine and Temperature Dependent Models for Estimating Global Solar Radiation Across the Guinea Savannah Climatic Zone of Nigeria
AU  - Davidson Odafe Akpootu
AU  - Bello Idrith Tijjani
AU  - Usman Mohammed Gana
Y1  - 2019/10/30
PY  - 2019
N1  - https://doi.org/10.11648/j.ajpa.20190705.15
DO  - 10.11648/j.ajpa.20190705.15
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 125
EP  - 135
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20190705.15
AB  - This study investigates the most accurate sunshine and temperature dependent models for estimating global solar radiation over Makurdi and Ibadan situated in the Guinea savannah of Nigeria by comparing nine (9) different existing sunshine dependent models. The study also proposed two temperature dependent models that took the form of quadratic logarithmic and quadratic exponential and were compared to three existing temperature dependent models (Chen, Hargreaves and Samani (HS) and Garcia). The measured monthly average daily global solar radiation, sunshine hours, maximum and minimum temperature meteorological parameters during the period of thirty one (1980-2010) years was utilized and the accuracy of the sunshine and temperature dependent models to ascertain the most suitable models in each location were tested using seven various statistical validation indicators of coefficient of determination (R2), Mean Bias Error (MBE), Root Mean Square Error (RMSE), Mean Percentage Error (MPE), t-test, Nash-Sutcliffe Equation (NSE) and Index of Agreement (IA). The results revealed that the exponent sunshine dependent model proposed by Bakirci and the linear exponential sunshine dependent model proposed by Bakirci were found more accurate for estimating global solar radiation in Makurdi and Ibadan respectively. The proposed quadratic logarithmic and quadratic exponential temperature dependent models were found more suitable for estimating global solar radiation in Makurdi and Ibadan respectively. These recommended models can be found appropriate, if properly calibrated in regions with similar climatic information. The HS temperature dependent model evaluated in this study for Ibadan was compared with those available in literatures and was found more suitable. Furthermore, the most suitable sunshine dependent model was found more suitable for global solar radiation estimation when compared to the most suitable temperature dependent model in each of the studied locations and this was testified from the figures of the comparison between the measured and estimated sunshine and temperature dependent models as the sunshine dependent models depicts the best fitting with the measured global solar radiation data.
VL  - 7
IS  - 5
ER  -

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