IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v184y2022icp176-181.html
   My bibliography  Save this article

The position of the sun based on a simplified model

Author

Listed:
  • Shapiro, Finley R.

Abstract

A simplified model for the position of the sun at any location on earth is shown to produce fairly accurate results when compared to values calculated in a spreadsheet from the United States National Oceanic and Atmospheric Administration (NOAA). A straightforward derivation of the model is presented, in which all terms and parameters have clear physical meaning. In the first version of the model, the only parameters are the tilt of the earth's axis and the date and time of the nearest northern hemisphere winter solstice. The differences between the elevation and azimuth calculated using the model and the NOAA results are typically a few degrees or less, and it is seen that the primary cause of these differences is the eccentricity of the earth's orbit. A simple correction is then added to the model, in which the only parameters are the earth's orbital eccentricity and the date and time of the perihelion nearest the solstice already in the model. This removes most of the differences between the model and the NOAA results. The model is shown to work in both the northern and southern hemispheres.

Suggested Citation

  • Shapiro, Finley R., 2022. "The position of the sun based on a simplified model," Renewable Energy, Elsevier, vol. 184(C), pages 176-181.
    • Handle: RePEc:eee:renene:v:184:y:2022:i:c:p:176-181
    DOI: 10.1016/j.renene.2021.11.084
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148121016694
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2021.11.084?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dupraz, C. & Marrou, H. & Talbot, G. & Dufour, L. & Nogier, A. & Ferard, Y., 2011. "Combining solar photovoltaic panels and food crops for optimising land use: Towards new agrivoltaic schemes," Renewable Energy, Elsevier, vol. 36(10), pages 2725-2732.
    2. Sproul, Alistair B., 2007. "Derivation of the solar geometric relationships using vector analysis," Renewable Energy, Elsevier, vol. 32(7), pages 1187-1205.
    3. Hafez, A.Z. & Soliman, A. & El-Metwally, K.A. & Ismail, I.M., 2017. "Tilt and azimuth angles in solar energy applications – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 147-168.
    4. Danandeh, M.A. & Mousavi G., S.M., 2018. "Solar irradiance estimation models and optimum tilt angle approaches: A comparative study," Renewable and Sustainable Energy Reviews, Elsevier, vol. 92(C), pages 319-330.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chinchilla, Monica & Santos-Martín, David & Carpintero-Rentería, Miguel & Lemon, Scott, 2021. "Worldwide annual optimum tilt angle model for solar collectors and photovoltaic systems in the absence of site meteorological data," Applied Energy, Elsevier, vol. 281(C).
    2. Barbón, A. & Bayón-Cueli, C. & Bayón, L. & Rodríguez-Suanzes, C., 2022. "Analysis of the tilt and azimuth angles of photovoltaic systems in non-ideal positions for urban applications," Applied Energy, Elsevier, vol. 305(C).
    3. Strušnik, Dušan & Brandl, Daniel & Schober, Helmut & Ferčec, Janko & Avsec, Jurij, 2020. "A simulation model of the application of the solar STAF panel heat transfer and noise reduction with and without a transparent plate: A renewable energy review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 134(C).
    4. Nicolás-Martín, Carolina & Santos-Martín, David & Chinchilla-Sánchez, Mónica & Lemon, Scott, 2020. "A global annual optimum tilt angle model for photovoltaic generation to use in the absence of local meteorological data," Renewable Energy, Elsevier, vol. 161(C), pages 722-735.
    5. Al Garni, Hassan Z. & Awasthi, Anjali & Wright, David, 2019. "Optimal orientation angles for maximizing energy yield for solar PV in Saudi Arabia," Renewable Energy, Elsevier, vol. 133(C), pages 538-550.
    6. Barbón, A. & Ayuso, P. Fortuny & Bayón, L. & Silva, C.A., 2021. "A comparative study between racking systems for photovoltaic power systems," Renewable Energy, Elsevier, vol. 180(C), pages 424-437.
    7. Herrera-Romero, J.V. & Colorado-Garrido, D. & Escalante Soberanis, M.A. & Flota-Bañuelos, M., 2020. "Estimation of the optimum tilt angle of solar collectors in Coatzacoalcos, Veracruz," Renewable Energy, Elsevier, vol. 153(C), pages 615-623.
    8. Krexner, T. & Bauer, A. & Gronauer, A. & Mikovits, C. & Schmidt, J. & Kral, I., 2024. "Environmental life cycle assessment of a stilted and vertical bifacial crop-based agrivoltaic multi land-use system and comparison with a mono land-use of agricultural land," Renewable and Sustainable Energy Reviews, Elsevier, vol. 196(C).
    9. Vivar, M. & H, Sharon & Fuentes, M., 2024. "Photovoltaic system adoption in water related technologies – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 189(PB).
    10. Piotr Michalak, 2021. "Modelling of Solar Irradiance Incident on Building Envelopes in Polish Climatic Conditions: The Impact on Energy Performance Indicators of Residential Buildings," Energies, MDPI, vol. 14(14), pages 1-27, July.
    11. Zimmerman, Ryan & Panda, Anurag & Bulović, Vladimir, 2020. "Techno-economic assessment and deployment strategies for vertically-mounted photovoltaic panels," Applied Energy, Elsevier, vol. 276(C).
    12. Sahoo, Somadutta & Zuidema, Christian & van Stralen, Joost N.P. & Sijm, Jos & Faaij, André, 2022. "Detailed spatial analysis of renewables’ potential and heat: A study of Groningen Province in the northern Netherlands," Applied Energy, Elsevier, vol. 318(C).
    13. Schindele, Stephan & Trommsdorff, Maximilian & Schlaak, Albert & Obergfell, Tabea & Bopp, Georg & Reise, Christian & Braun, Christian & Weselek, Axel & Bauerle, Andrea & Högy, Petra & Goetzberger, Ado, 2020. "Implementation of agrophotovoltaics: Techno-economic analysis of the price-performance ratio and its policy implications," Applied Energy, Elsevier, vol. 265(C).
    14. Vassiliades, C. & Savvides, A. & Buonomano, A., 2022. "Building integration of active solar energy systems for façades renovation in the urban fabric: Effects on the thermal comfort in outdoor public spaces in Naples and Thessaloniki," Renewable Energy, Elsevier, vol. 190(C), pages 30-47.
    15. Amaducci, Stefano & Yin, Xinyou & Colauzzi, Michele, 2018. "Agrivoltaic systems to optimise land use for electric energy production," Applied Energy, Elsevier, vol. 220(C), pages 545-561.
    16. Zhong, Qing & Tong, Daoqin, 2020. "Spatial layout optimization for solar photovoltaic (PV) panel installation," Renewable Energy, Elsevier, vol. 150(C), pages 1-11.
    17. Xue, Jinlin, 2017. "Photovoltaic agriculture - New opportunity for photovoltaic applications in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 73(C), pages 1-9.
    18. Soulayman, S., 2018. "Comments on solar azimuth angle," Renewable Energy, Elsevier, vol. 123(C), pages 294-300.
    19. Daniel Matulić & Željko Andabaka & Sanja Radman & Goran Fruk & Josip Leto & Jakša Rošin & Mirta Rastija & Ivana Varga & Tea Tomljanović & Hrvoje Čeprnja & Marko Karoglan, 2023. "Agrivoltaics and Aquavoltaics: Potential of Solar Energy Use in Agriculture and Freshwater Aquaculture in Croatia," Agriculture, MDPI, vol. 13(7), pages 1-26, July.
    20. Hassanien, Reda Hassanien Emam & Li, Ming & Yin, Fang, 2018. "The integration of semi-transparent photovoltaics on greenhouse roof for energy and plant production," Renewable Energy, Elsevier, vol. 121(C), pages 377-388.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:184:y:2022:i:c:p:176-181. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.