Optical characterization of nonimaging dish concentrator for the application of dense-array concentrator photovoltaic system

Ming-Hui Tan; Kok-Keong Chong; Chee-Woon Wong

doi:10.1364/AO.53.000475

Applied Optics
Vol. 53,
Issue 3,
pp. 475-486
(2014)
•https://doi.org/10.1364/AO.53.000475

Optical characterization of nonimaging dish concentrator for the application of dense-array concentrator photovoltaic system

Ming-Hui Tan, Kok-Keong Chong, and Chee-Woon Wong

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Ming-Hui Tan, Kok-Keong Chong, and Chee-Woon Wong, "Optical characterization of nonimaging dish concentrator for the application of dense-array concentrator photovoltaic system," Appl. Opt. 53, 475-486 (2014)

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Abstract

Optimization of the design of a nonimaging dish concentrator (NIDC) for a dense-array concentrator photovoltaic system is presented. A new algorithm has been developed to determine configuration of facet mirrors in a NIDC. Analytical formulas were derived to analyze the optical performance of a NIDC and then compared with a simulated result obtained from a numerical method. Comprehensive analysis of optical performance via analytical method has been carried out based on facet dimension and focal distance of the concentrator with a total reflective area of $120 m^{2}$ . The result shows that a facet dimension of 49.8 cm, focal distance of 8 m, and solar concentration ratio of 411.8 suns is the most optimized design for the lowest cost-per-output power, which is US$1.93 per watt.

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Equations (29)

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Total reflective area	$120 m^{2}$
Area of single CPV cell, $A_{cpv}$	$1 \times 1 {cm}^{2}$
Gap between CPV cell, $g$	1 mm
Incident solar radiation, $I$	$1000 Watt / m^{2}$
Cost of single CPV cell, $C_{CPV}$	US$6.5
Cost of concentrator structure, $C_{mech}$	US$32,000
Cost of $120 m^{2}$ facet mirror, $C_{facets}$	US$3,000

Array of Facet Mirrors	Dimension of Facet Mirror $(w \times w)$	Total Number of Facet Mirrors
$12 \times 12$	$91.3 cm \times 91.3 cm$	144
$14 \times 14$	$78.2 cm \times 78.2 cm$	196
$16 \times 16$	$68.5 cm \times 68.5 cm$	256
$18 \times 18$	$60.9 cm \times 60.9 cm$	324
$20 \times 20$	$54.8 cm \times 54.8 cm$	400
$22 \times 22$	$49.8 cm \times 49.8 cm$	484
$24 \times 24$	$45.6 cm \times 45.6 cm$	576
$26 \times 26$	$42.1 cm \times 42.1 cm$	676
$28 \times 28$	$39.1 cm \times 39.1 cm$	784
$30 \times 30$	$36.5 cm \times 36.5 cm$	900
$32 \times 32$	$34.2 cm \times 34.2 cm$	1024
$34 \times 34$	$32.2 cm \times 32.2 cm$	1156
$36 \times 36$	$30.4 cm \times 30.4 cm$	1296
$38 \times 38$	$28.8 cm \times 28.8 cm$	1444
$40 \times 40$	$27.4 cm \times 27.4 cm$	1600

Total reflective area	$120 m^{2}$
Area of single CPV cell, $A_{cpv}$	$1 \times 1 {cm}^{2}$
Gap between CPV cell, $g$	1 mm
Incident solar radiation, $I$	$1000 Watt / m^{2}$
Cost of single CPV cell, $C_{CPV}$	US$6.5
Cost of concentrator structure, $C_{mech}$	US$32,000
Cost of $120 m^{2}$ facet mirror, $C_{facets}$	US$3,000

Array of Facet Mirrors	Dimension of Facet Mirror $(w \times w)$	Total Number of Facet Mirrors
$12 \times 12$	$91.3 cm \times 91.3 cm$	144
$14 \times 14$	$78.2 cm \times 78.2 cm$	196
$16 \times 16$	$68.5 cm \times 68.5 cm$	256
$18 \times 18$	$60.9 cm \times 60.9 cm$	324
$20 \times 20$	$54.8 cm \times 54.8 cm$	400
$22 \times 22$	$49.8 cm \times 49.8 cm$	484
$24 \times 24$	$45.6 cm \times 45.6 cm$	576
$26 \times 26$	$42.1 cm \times 42.1 cm$	676
$28 \times 28$	$39.1 cm \times 39.1 cm$	784
$30 \times 30$	$36.5 cm \times 36.5 cm$	900
$32 \times 32$	$34.2 cm \times 34.2 cm$	1024
$34 \times 34$	$32.2 cm \times 32.2 cm$	1156
$36 \times 36$	$30.4 cm \times 30.4 cm$	1296
$38 \times 38$	$28.8 cm \times 28.8 cm$	1444
$40 \times 40$	$27.4 cm \times 27.4 cm$	1600

Abstract

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Applied Optics