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Evaluation of the Spot Shape on the Target for Flat Heliostats

Author

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  • David Jafrancesco

    (CNR-INO National Institute of Optics, Largo E. Fermi, 6-50125-Firenze, Italy)

  • Daniela Fontani

    (CNR-INO National Institute of Optics, Largo E. Fermi, 6-50125-Firenze, Italy)

  • Franco Francini

    (CNR-INO National Institute of Optics, Largo E. Fermi, 6-50125-Firenze, Italy)

  • Paola Sansoni

    (CNR-INO National Institute of Optics, Largo E. Fermi, 6-50125-Firenze, Italy)

Abstract

The aim of this study is to evaluate the changes of the spot shape on the target in dependence of the variations of size and faceting of a flat heliostat or an array of heliostats. The flat heliostat, or a flat heliostat array, is a layout common for Concentation Solar Power (CSP) plants. The spot shape is evaluated by means of a numerical integration of an appropriate function; in order to confirm the results, both an analysis based on the Lagrange invariance and some simulations are performed. The first one validates the power density value in the central part of the spot, while the simulations assess the spot shape, which in its central part differs less than 3% from the calculated result. The utilized numerical method does not require specialized software or complex calculation models; it determines an accurate spot shape but cannot take into account shading and blocking phenomena.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:7:p:1621-:d:153715
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    References listed on IDEAS

    as
    1. Jafrancesco, D. & Sansoni, P. & Francini, F. & Contento, G. & Cancro, C. & Privato, C. & Graditi, G. & Ferruzzi, D. & Mercatelli, L. & Sani, E. & Fontani, D., 2014. "Mirrors array for a solar furnace: Optical analysis and simulation results," Renewable Energy, Elsevier, vol. 63(C), pages 263-271.
    2. Wei, Xiudong & Lu, Zhenwu & Wang, Zhifeng & Yu, Weixing & Zhang, Hongxing & Yao, Zhihao, 2010. "A new method for the design of the heliostat field layout for solar tower power plant," Renewable Energy, Elsevier, vol. 35(9), pages 1970-1975.
    3. Sánchez-González, Alberto & Santana, Domingo, 2015. "Solar flux distribution on central receivers: A projection method from analytic function," Renewable Energy, Elsevier, vol. 74(C), pages 576-587.
    4. 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.
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    Cited by:

    1. Qimei Chen & Yan Wang & Jianhan Zhang & Zhifeng Wang, 2020. "The Knowledge Mapping of Concentrating Solar Power Development Based on Literature Analysis Technology," Energies, MDPI, vol. 13(8), pages 1-15, April.

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