IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v4y1994i1p77-87.html
   My bibliography  Save this article

Solar flux density distribution using a separation of variables/superposition technique

Author

Listed:
  • Elsayed, M.M.
  • Fathalah, K.A.

Abstract

A separation of variables/superposition technique is used to determine the flux density distribution Γ on the receiver plane of a central receiver system. This distribution is determined in terms of the flux density distribution F on the image plane. The distribution F is found in terms of the algebraic sum of several flux distribution functions. Each of these functions Fi is determined in terms of a basic dimensionless flux density function φ, transferred to have its origin of coordinates at one corner of the principal image of the heliostat. Using a special coordinate system, φ is found to depend only on the angle θ∗ between the sides of the principal image of the heliostat, for a given Sun shape and error function. Calculations of θ∗ and the lengths of the sides of the principal image are performed for a wide range of parameters, which include solar zenith and azimuth angles, radial distance of heliostat and its position azimuth angle, tower height, concentration and dimensions of the heliostat. For a given effective Sun shape, the basic dimensionless flux density distribution φ is calculated for several values of θ∗. This distribution is stored in a computer and used in an illustrative example to determine the flux density distribution on a receiver plane.

Suggested Citation

  • Elsayed, M.M. & Fathalah, K.A., 1994. "Solar flux density distribution using a separation of variables/superposition technique," Renewable Energy, Elsevier, vol. 4(1), pages 77-87.
    • Handle: RePEc:eee:renene:v:4:y:1994:i:1:p:77-87
    DOI: 10.1016/0960-1481(94)90067-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0960148194900671
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/0960-1481(94)90067-1?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. He, Caitou & Duan, Xiaoyue & Zhao, Yuhong & Feng, Jieqing, 2019. "An analytical flux density distribution model with a closed-form expression for a flat heliostat," Applied Energy, Elsevier, vol. 251(C), pages 1-1.
    2. David Jafrancesco & Daniela Fontani & Franco Francini & Paola Sansoni, 2018. "Evaluation of the Spot Shape on the Target for Flat Heliostats," Energies, MDPI, vol. 11(7), pages 1-18, June.
    3. He, Caitou & Zhao, Hanli & He, Qi & Zhao, Yuhong & Feng, Jieqing, 2021. "Analytical radiative flux model via convolution integral and image plane mapping," Energy, Elsevier, vol. 222(C).
    4. Lin, Xiaoxia & He, Caitou & Huang, Wenjun & Zhao, Yuhong & Feng, Jieqing, 2022. "GPU-based Monte Carlo ray tracing simulation considering refraction for central receiver system," Renewable Energy, Elsevier, vol. 193(C), pages 367-382.

    More about this item

    Statistics

    Access and download statistics

    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:4:y:1994:i:1:p:77-87. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.