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

Jian Yan; Duzhong Nie; Yong Tian; Yongxiang Liu; Youduo Peng

doi:10.3788/AOS202141.1022001

Journals >Acta Optica Sinica >Volume 41 >Issue 10 >Page 1022001 > Article

Acta Optica Sinica
Vol. 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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DOI: 10.3788/AOS202141.1022001 Cite this Article Set citation alerts

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 Copy Citation Text

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Solar dish receiver with concave lens. (a) Light transmission and geometric parameters; (b) cylindrical cavity receiver with flat-concave lens

Fig. 1. Solar dish receiver with concave lens. (a) Light transmission and geometric parameters; (b) cylindrical cavity receiver with flat-concave lens

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Fig. 2. Geometric parameters of planar-concave lens

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Fig. 3. Geometric parameters of concave-planar lens

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Fig. 4. Geometric parameters of concave-concave lens

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Fig. 5. Comparison of simulation results between proposed method and OptisWorks 2012 software

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Fig. 6. Performance results of SDC system with optimized plane-concave lens. (a) LCR distribution on surface of heat absorber; (b) optical performance indicators

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Fig. 7. Optical performance indicators for SDC systems with plane-conical lens. (a) Non-uniform factor; (b) useful energy ratio; (c) optical efficiency

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Fig. 8. Performance results of SDC system with optimized concave-plane lens. (a) LCR distribution on surface of heat absorber; (b) optical performance indicators

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Fig. 9. Performance results of SDC system with optimized biconcave lens. (a) LCR profile on surface of heat absorber; (b) optical performance indicators

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Fig. 10. 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

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Fig. 11. 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

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Type of lens	Geometric parameter
Type of lens	d₁ /mm	d₂ /mm	H_w /mm	k₁	k₂
Planar-conical lens	0	15.50	25.00	-	0.088
Conical-conical lens	0	3.00	25.00	0.088	0.088

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

Parameter	Value
Aperture radius of dish concentrator (R) /m	7
Focal length of dish concentrator (f) /m	8.45
Reflectivity of dish concentrator mirror (ρ_mirror)	0.93
Height of cavity receiver (H_c) /mm	350
Radius of cavity receiver (R_ca) /mm	140
Absorptivity of absorber surface (σ_absorber)	1
Reflectivity of ordinary surface (ρ_wall)	0.6
Central thickness of lens (d₂) /mm	3.0
Target area of absorber surface (z_F) /mm	[30,350]

Table 2. Geometric and optical parameters of SDC system

Type of lens	Optimization result
Type of lens	Geometric parameter of lens	Non-uniform factor	Useful energy ratio /%	Optical efficiency /%
Planar lens	d₁=0 mm,H_w=25.0 mm	0.59	74.32	81.02
Planar-conical lens	X=[-6.76 50.00 0.27]	0.20	74.14	80.57
Planar-parabolic lens	X=[-11.41 49.53 53.65]	0.20	70.11	77.51
Planar-spherical lens	X=[-8.53 50.00 123.53]	0.22	70.85	77.86
Planar-elliptical lens	X=[-7.35 50.00 312.94 191.76]	0.21	70.41	77.27

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

Type of lens	Optimization result
Type of lens	Geometric parameters of lens	Non-uniform factor	Useful energy ratio /%	Optical efficiency /%
Planar lens	d₁=0 mm and H_w=25.0 mm	0.59	74.32	81.02
Conical-planar lens	X=[-25.00 38.61 0.98]	0.31	74.03	78.17
Parabolic-planar lens	X=[-4.22 28.45 50.00]	0.32	75.74	82.62
Spherical-planar lens	X=[-16.35 27.35 50.00]	0.29	74.53	78.87
Elliptical-planar lens	X=[-25.67 33.84 347.84 88.90]	0.30	72.52	76.51

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

Type of lens	Optimization result
Type of lens	Geometric parameters of lens	Non-uniform factor	Useful energy ratio /%	Optical efficiency /%
Planar lens	d₁=0 mm and H_w=25.0 mm	0.59	74.32	81.02
Conical-conical lens	X=[-29.06 49.37 0.26 0.16]	0.11	70.03	79.84
Parabolic-parabolic lens	X=[-24.31 49.22 56.08 172.78]	0.20	70.15	79.49
Spherical-spherical lens	X=[-32.25 49.37 71.88 319.88]	0.19	70.15	77.91
Elliptical-elliptical lens	X=[-33.63 50.00 231.14 96.20 245.73 284.36]	0.19	70.46	76.34

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

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