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Empirical Models for the Estimation of Solar Sky-Diffuse Radiation. A Review and Experimental Analysis

Author

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  • Saioa Etxebarria Berrizbeitia

    (Department of Mechanical Engineering, University of the Basque Country, 01006 Vitoria-Gasteiz, Spain)

  • Eulalia Jadraque Gago

    (School of Civil Engineering, University of Granada, 18071 Granada, Spain)

  • Tariq Muneer

    (School of Engineering and the Built Environment, Edinburgh Napier University, Edinburgh EH10 5DT, UK)

Abstract

Accurate solar radiation data are essential for the development of solar energy application systems. The limited availability of solar radiation data, and especially diffuse irradiance values, makes it vital to develop models to estimate these data. The development of estimation models has been the objective of many studies. This paper presents an extended review of the diffuse ratio ( k) vs. clearness index ( k t ) annual, monthly, daily, and hourly frequency regression models. It is however interesting to note that there is a dearth of such knowledge for diffuse ratio–clearness index regressions that are based on averaged data. Monthly-averaged daily global irradiation data are now easily available from the NASA website for any global location. Using existing models, it is possible to decompose the daily to averaged-hourly global irradiation values. The missing link so far has been hourly averaged diffuse irradiation. This article presents regression equations which could be used to estimate that information. For this purpose, hourly global and diffuse irradiation data was pooled from 19 different locations to obtain three latitude-dependent regression models relating the monthly-averaged hourly diffuse ratio ( k ¯ ) to the clearness index ( k t ¯ ). The results show a high relationship between both variables. These regression equations could be used to estimate the averaged diffuse irradiation values from averaged global irradiation values, which are more easily available.

Suggested Citation

  • Saioa Etxebarria Berrizbeitia & Eulalia Jadraque Gago & Tariq Muneer, 2020. "Empirical Models for the Estimation of Solar Sky-Diffuse Radiation. A Review and Experimental Analysis," Energies, MDPI, vol. 13(3), pages 1-23, February.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:3:p:701-:d:317125
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    Cited by:

    1. Raghuram Kalyanam & Sabine Hoffmann, 2020. "A Novel Approach to Enhance the Generalization Capability of the Hourly Solar Diffuse Horizontal Irradiance Models on Diverse Climates," Energies, MDPI, vol. 13(18), pages 1-16, September.
    2. Fausto André Valenzuela-Domínguez & Luis Alfonso Santa Cruz & Enrique A. Enríquez-Velásquez & Luis C. Félix-Herrán & Victor H. Benitez & Jorge de-J. Lozoya-Santos & Ricardo A. Ramírez-Mendoza, 2021. "Solar Irradiation Evaluation through GIS Analysis Based on Grid Resolution and a Mathematical Model: A Case Study in Northeast Mexico," Energies, MDPI, vol. 14(19), pages 1-37, October.
    3. Soulis, Konstantinos X. & Manolakos, Dimitris & Ntavou, Erika & Kosmadakis, George, 2022. "A geospatial analysis approach for the operational assessment of solar ORC systems. Case study: Performance evaluation of a two-stage solar ORC engine in Greece," Renewable Energy, Elsevier, vol. 181(C), pages 116-128.
    4. Duberney Murillo-Yarce & José Alarcón-Alarcón & Marco Rivera & Carlos Restrepo & Javier Muñoz & Carlos Baier & Patrick Wheeler, 2020. "A Review of Control Techniques in Photovoltaic Systems," Sustainability, MDPI, vol. 12(24), pages 1-21, December.
    5. Wiktor Olchowik & Jędrzej Gajek & Andrzej Michalski, 2023. "The Use of Evolutionary Algorithms in the Modelling of Diffuse Radiation in Terms of Simulating the Energy Efficiency of Photovoltaic Systems," Energies, MDPI, vol. 16(6), pages 1-32, March.
    6. Oliver O. Apeh & Ochuko K. Overen & Edson L. Meyer, 2021. "Monthly, Seasonal and Yearly Assessments of Global Solar Radiation, Clearness Index and Diffuse Fractions in Alice, South Africa," Sustainability, MDPI, vol. 13(4), pages 1-15, February.
    7. Nunez Munoz, Maria & Ballantyne, Erica E.F. & Stone, David A., 2022. "Development and evaluation of empirical models for the estimation of hourly horizontal diffuse solar irradiance in the United Kingdom," Energy, Elsevier, vol. 241(C).

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