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Elliptical-Shaped Fresnel Lens Design through Gaussian Source Distribution

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Listed:
  • Dário Garcia

    (CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2829-516 Caparica, Portugal)

  • Dawei Liang

    (CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2829-516 Caparica, Portugal)

  • Joana Almeida

    (CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2829-516 Caparica, Portugal)

  • Bruno D. Tibúrcio

    (CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2829-516 Caparica, Portugal)

  • Hugo Costa

    (CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2829-516 Caparica, Portugal)

  • Miguel Catela

    (CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2829-516 Caparica, Portugal)

  • Cláudia R. Vistas

    (CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2829-516 Caparica, Portugal)

Abstract

A novel three-dimensional elliptical-shaped Fresnel lens (ESFL) analytical model is presented to evaluate and maximize the solar energy concentration of Fresnel-lens-based solar concentrators. AutoCAD, Zemax and Ansys software were used for the ESFL design, performance evaluation and temperature calculation, respectively. Contrary to the previous modeling processes, based on the edge-ray principle with an acceptance half-angle of ±0.27° as the key defining parameter, the present model uses, instead, a Gaussian distribution to define the solar source in Zemax. The results were validated through the numerical analysis of published experimental data from a flat Fresnel lens. An in-depth study of the influence of several ESFL factors, such as focal length, arch height and aspect ratio, on its output performance is carried out. Moreover, the evaluation of the ESFL output performance as a function of the number/size of the grooves is also analyzed. Compared to the typical 1–16 grooves per millimeter reported in the previous literature, this mathematical parametric modeling allowed a substantial reduction in grooves/mm to 0.3–0.4, which may enable an easy mass production of ESFL. The concentrated solar distribution of the optimal ESFL configuration was then compared to that of the best flat Fresnel lens configuration, under the same focusing conditions. Due to the elliptical shape of the lens, the chromatic aberration effect was largely reduced, resulting in higher concentrated solar flux and temperature. Over 2360 K and 1360 K maximum temperatures were found for ESFL and flat Fresnel lenses, respectively, demonstrating the great potential of the three-dimensional curved-shaped Fresnel lens on renewable solar energy applications that require high concentrations of solar fluxes and temperatures.

Suggested Citation

  • Dário Garcia & Dawei Liang & Joana Almeida & Bruno D. Tibúrcio & Hugo Costa & Miguel Catela & Cláudia R. Vistas, 2022. "Elliptical-Shaped Fresnel Lens Design through Gaussian Source Distribution," Energies, MDPI, vol. 15(2), pages 1-21, January.
  • Handle: RePEc:gam:jeners:v:15:y:2022:i:2:p:668-:d:726917
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    References listed on IDEAS

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    1. Jared S. Price & Xing Sheng & Bram M. Meulblok & John A. Rogers & Noel C. Giebink, 2015. "Wide-angle planar microtracking for quasi-static microcell concentrating photovoltaics," Nature Communications, Nature, vol. 6(1), pages 1-8, May.
    2. Yeh, Naichia, 2010. "Analysis of spectrum distribution and optical losses under Fresnel lenses," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(9), pages 2926-2935, December.
    3. Xie, W.T. & Dai, Y.J. & Wang, R.Z. & Sumathy, K., 2011. "Concentrated solar energy applications using Fresnel lenses: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(6), pages 2588-2606, August.
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    Cited by:

    1. Alexandros Vouros & Emmanouil Mathioulakis & Elias Papanicolaou & Vassilis Belessiotis, 2023. "Computational Modeling of a Small-Scale, Solar Concentrating Device Based on a Fresnel-Lens Collector and a Flat Plate Receiver with Cylindrical Channels," Energies, MDPI, vol. 16(2), pages 1-21, January.

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