Author Affiliations
1School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, Jilin, China2Jilin 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, China4Meteorological Observation Center, China Meteorological Administration, Beijing 100081, Chinashow less
Fig. 1. Two-dimensional model of global solar direct radiation angle variation
Fig. 2. Variation of global noon height angle at equinoxes and solstices
Fig. 3. Range of incidence angle of full latitude solar direct radiation
Fig. 4. Mapping relationship between solar direct light and reflector surface
Fig. 5. Initial structure model of freeform surface mirror. (a) Working light path; (b) finite element division model of mirror
Fig. 6. Optical path model of reflector in actual operation
Fig. 7. Surface optimization process of free-form reflector
Fig. 8. Simulation of initial surface shape of freeform mirror. (a) Simulation optical path; (b) normalized result of irradiance of convergent surface
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%
Fig. 10. Verification test site for center position of reflected light spot
Fig. 11. Center position of reflection spot at each incident light angle
Fig. 12. Test platform of solar direct radiation optical system
Fig. 13. Normalized results of irradiance of incident light at various angles
Parameter | Value |
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L /mm | 119.5 | L1 /mm | 10 | L2 /mm | 109.5 | γS /(°) | 33.25 | γW /(°) | 56.75 | ρS /(°) | 30.75 | ρW /(°) | 59.25 |
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Table 1. Initial structure data of mirror
Polynomial fitting | Quadratic fitting | Cubic fitting | Quartic fitting | Quintic fitting |
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Residual sum of squares | 0.13733 | 0.00256 | 0.00005 | 0.00009 | R-squared value | 0.99983 | 1.00000 | 1.00000 | 1.00000 |
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Table 2. Accuracy of quadratic to quintic polynomial fitting
Polynomial coefficient | a0 | a1 | a2 | a3 | a4 | a5 |
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Value | 10.00001 | -0.57888 | 0.00680 | -0.00571 | 0.00050 | -0.00002 |
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Table 3. Polynomial coefficients of initial surface shape of mirror
Polynomial coefficient | a0 | a1 | a2 | a3 | a4 | a5 |
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Value | 10.00300 | -0.60341 | -0.00246 | -0.00393 | 0.00034 | -0.00002 |
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Table 4. Polynomial coefficients of freeform surface mirror when ε=0.25°