• Acta Optica Sinica
  • Vol. 42, Issue 9, 0922001 (2022)
Xiaotong Yang1, Guoyu Zhang1、2、3、*, Jian Zhang1、2、3, Wei Chong1、4, Zongtao Duan1, and Zhengjie Niu1
Author Affiliations
  • 1School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, Jilin, China
  • 2Jilin Engineering Research Center of Photoelectric Measurement & Control Instruments, Changchun 130022, Jilin, China;
  • 3Key Laboratory of Opto-Electronic Measurement and Optical Information Transmission Technology, Ministry of Education, Changchun 130022, Jilin, China
  • 4Meteorological Observation Center, China Meteorological Administration, Beijing 100081, China
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    DOI: 10.3788/AOS202242.0922001 Cite this Article Set citation alerts
    Xiaotong Yang, Guoyu Zhang, Jian Zhang, Wei Chong, Zongtao Duan, Zhengjie Niu. Optimization Design Method of Freeform Reflector for Direct Solar Radiation Measurement[J]. Acta Optica Sinica, 2022, 42(9): 0922001 Copy Citation Text show less
    Two-dimensional model of global solar direct radiation angle variation
    Fig. 1. Two-dimensional model of global solar direct radiation angle variation
    Variation of global noon height angle at equinoxes and solstices
    Fig. 2. Variation of global noon height angle at equinoxes and solstices
    Range of incidence angle of full latitude solar direct radiation
    Fig. 3. Range of incidence angle of full latitude solar direct radiation
    Mapping relationship between solar direct light and reflector surface
    Fig. 4. Mapping relationship between solar direct light and reflector surface
    Initial structure model of freeform surface mirror. (a) Working light path; (b) finite element division model of mirror
    Fig. 5. Initial structure model of freeform surface mirror. (a) Working light path; (b) finite element division model of mirror
    Optical path model of reflector in actual operation
    Fig. 6. Optical path model of reflector in actual operation
    Surface optimization process of free-form reflector
    Fig. 7. Surface optimization process of free-form reflector
    Simulation of initial surface shape of freeform mirror. (a) Simulation optical path; (b) normalized result of irradiance of convergent surface
    Fig. 8. Simulation of initial surface shape of freeform mirror. (a) Simulation optical path; (b) normalized result of irradiance of convergent surface
    Normalized results of irradiance of convergent surface. (a) ε=3°, SRFU=82.79%; (b) ε=1°, SRFU=82.36%; (c) ε=0.5°, SRFU=89.52%; (d) ε=0.25°, SRFU=92.36%
    Fig. 9. Normalized results of irradiance of convergent surface. (a) ε=3°, SRFU=82.79%; (b) ε=1°, SRFU=82.36%; (c) ε=0.5°, SRFU=89.52%; (d) ε=0.25°, SRFU=92.36%
    Verification test site for center position of reflected light spot
    Fig. 10. Verification test site for center position of reflected light spot
    Center position of reflection spot at each incident light angle
    Fig. 11. Center position of reflection spot at each incident light angle
    Test platform of solar direct radiation optical system
    Fig. 12. Test platform of solar direct radiation optical system
    Normalized results of irradiance of incident light at various angles
    Fig. 13. Normalized results of irradiance of incident light at various angles
    ParameterValue
    L /mm119.5
    L1 /mm10
    L2 /mm109.5
    γS /(°)33.25
    γW /(°)56.75
    ρS /(°)30.75
    ρW /(°)59.25
    Table 1. Initial structure data of mirror
    Polynomial fittingQuadratic fittingCubic fittingQuartic fittingQuintic fitting
    Residual sum of squares0.137330.002560.000050.00009
    R-squared value0.999831.000001.000001.00000
    Table 2. Accuracy of quadratic to quintic polynomial fitting
    Polynomial coefficienta0a1a2a3a4a5
    Value10.00001-0.578880.00680-0.005710.00050-0.00002
    Table 3. Polynomial coefficients of initial surface shape of mirror
    Polynomial coefficienta0a1a2a3a4a5
    Value10.00300-0.60341-0.00246-0.003930.00034-0.00002
    Table 4. Polynomial coefficients of freeform surface mirror when ε=0.25°
    Xiaotong Yang, Guoyu Zhang, Jian Zhang, Wei Chong, Zongtao Duan, Zhengjie Niu. Optimization Design Method of Freeform Reflector for Direct Solar Radiation Measurement[J]. Acta Optica Sinica, 2022, 42(9): 0922001
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