Acta Optica Sinica, Volume. 41, Issue 10, 1022001(2021)

Optimal Design of Concave Lens for Flux Homogenization of Solar Dish/Cavity Collector System

Jian Yan*, Duzhong Nie, Yong Tian, Yongxiang Liu, and Youduo Peng
Author Affiliations
  • School of Mechanical Engineering, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China
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    Figures & Tables(16)
    Solar dish receiver with concave lens. (a) Light transmission and geometric parameters; (b) cylindrical cavity receiver with flat-concave lens
    Geometric parameters of planar-concave lens
    Geometric parameters of concave-planar lens
    Geometric parameters of concave-concave lens
    Comparison of simulation results between proposed method and OptisWorks 2012 software
    Performance results of SDC system with optimized plane-concave lens. (a) LCR distribution on surface of heat absorber; (b) optical performance indicators
    Optical performance indicators for SDC systems with plane-conical lens. (a) Non-uniform factor; (b) useful energy ratio; (c) optical efficiency
    Performance results of SDC system with optimized concave-plane lens. (a) LCR distribution on surface of heat absorber; (b) optical performance indicators
    Performance results of SDC system with optimized biconcave lens. (a) LCR profile on surface of heat absorber; (b) optical performance indicators
    Transmission path of sun rays in SDC system. (a) Concentrated solar ray; (b) with planar lens; (c) with optimized planar-conical lens; (d) with optimized conical-conical lens
    LCR distribution on surface of cylindrical heat absorber of SDC system before and after optimization. (a) With plane lens; (b) with optimized plano-concave conical lens; (c) with optimized biconcave conical lens
    • Table 1. Relevant parameters of concave lens in process of optical model verification

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      Table 1. Relevant parameters of concave lens in process of optical model verification

      Type of lensGeometric parameter
      d1 /mmd2 /mmHw /mmk1k2
      Planar-conical lens015.5025.00-0.088
      Conical-conical lens03.0025.000.0880.088
    • Table 2. Geometric and optical parameters of SDC system

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      Table 2. Geometric and optical parameters of SDC system

      ParameterValue
      Aperture radius of dish concentrator (R) /m7
      Focal length of dish concentrator (f) /m8.45
      Reflectivity of dish concentrator mirror (ρmirror)0.93
      Height of cavity receiver (Hc) /mm350
      Radius of cavity receiver (Rca) /mm140
      Absorptivity of absorber surface (σabsorber)1
      Reflectivity of ordinary surface (ρwall)0.6
      Central thickness of lens (d2) /mm3.0
      Target area of absorber surface (zF) /mm[30,350]
    • Table 3. Optimization results of SDC system with planar-concave lens

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      Table 3. Optimization results of SDC system with planar-concave lens

      Type of lensOptimization result
      Geometric parameter of lensNon-uniform factorUseful energy ratio /%Optical efficiency /%
      Planar lensd1=0 mm,Hw=25.0 mm0.5974.3281.02
      Planar-conical lensX=[-6.76 50.00 0.27]0.2074.1480.57
      Planar-parabolic lensX=[-11.41 49.53 53.65]0.2070.1177.51
      Planar-spherical lensX=[-8.53 50.00 123.53]0.2270.8577.86
      Planar-elliptical lensX=[-7.35 50.00 312.94 191.76]0.2170.4177.27
    • Table 4. Optimization results of SDC system with concave-planar lens

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      Table 4. Optimization results of SDC system with concave-planar lens

      Type of lensOptimization result
      Geometric parameters of lensNon-uniform factorUseful energy ratio /%Optical efficiency /%
      Planar lensd1=0 mm and Hw=25.0 mm0.5974.3281.02
      Conical-planar lensX=[-25.00 38.61 0.98]0.3174.0378.17
      Parabolic-planar lensX=[-4.22 28.45 50.00]0.3275.7482.62
      Spherical-planar lensX=[-16.35 27.35 50.00]0.2974.5378.87
      Elliptical-planar lensX=[-25.67 33.84 347.84 88.90]0.3072.5276.51
    • Table 5. Optimization results of SDC system with concave-concave lens

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      Table 5. Optimization results of SDC system with concave-concave lens

      Type of lensOptimization result
      Geometric parameters of lensNon-uniform factorUseful energy ratio /%Optical efficiency /%
      Planar lensd1=0 mm and Hw=25.0 mm0.5974.3281.02
      Conical-conical lensX=[-29.06 49.37 0.26 0.16]0.1170.0379.84
      Parabolic-parabolic lensX=[-24.31 49.22 56.08 172.78]0.2070.1579.49
      Spherical-spherical lensX=[-32.25 49.37 71.88 319.88]0.1970.1577.91
      Elliptical-elliptical lensX=[-33.63 50.00 231.14 96.20 245.73 284.36]0.1970.4676.34
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    Jian Yan, Duzhong Nie, Yong Tian, Yongxiang Liu, Youduo Peng. Optimal Design of Concave Lens for Flux Homogenization of Solar Dish/Cavity Collector System[J]. Acta Optica Sinica, 2021, 41(10): 1022001

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Nov. 6, 2020

    Accepted: Dec. 15, 2020

    Published Online: May. 11, 2021

    The Author Email: Yan Jian (yanjian1988@hnust.edu.cn)

    DOI:10.3788/AOS202141.1022001

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