Comprehensive analysis on the assembly of a dielectric-filled crossed compound parabolic concentrator and a concentrator photovoltaic module

Pei-Shan Lee; Chee-Woon Wong; Ming-Hui Tan; Kok-Keong Chong

doi:10.1364/AO.387965

Applied Optics
Vol. 59,
Issue 14,
pp. 4557-4565
(2020)
•https://doi.org/10.1364/AO.387965

Comprehensive analysis on the assembly of a dielectric-filled crossed compound parabolic concentrator and a concentrator photovoltaic module

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

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Pei-Shan Lee, Chee-Woon Wong, Ming-Hui Tan, and Kok-Keong Chong, "Comprehensive analysis on the assembly of a dielectric-filled crossed compound parabolic concentrator and a concentrator photovoltaic module," Appl. Opt. 59, 4557-4565 (2020)

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Abstract

A comprehensive analysis on assembly of dielectric-filled 3D crossed compound parabolic concentrator (CCPC) and concentrator photovoltaic (CPV) module is presented by embracing the consideration of spectral irradiance, incident angles, and breakdown optical losses. The theoretical modeling is supported by experimental validation to evaluate the optical efficiency of the CCPC-CPV module. From our analysis, Fresnel reflection loss of 11.27%, absorption loss of 11.59%, and other losses of 4.79% are obtained to reach the total loss of 27.65% or equivalent solar concentration ratio (SCR) of 4.65 suns out of a geometrical concentration ratio (GCR) of 5.998 suns. Then, indoor and outdoor measurements prove the actual SCR of 4.57 and 4.48 suns, respectively.

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Secondary Optical Element (SOE):	Crossed Compound Parabolic Concentrator (CCPC) Lens
Dielectric material	B270 Schott glass
Dimension of the entrance aperture, $2 a$	$24 m m \times 24 m m$
Dimension of the exit aperture, $2 a^{'}$	$9.8 m m \times 9.8 m m$
Length, $L$	37.78 mm
Geometrical concentration ratio (GCR)	5.998
Angular half acceptance angle, $θ_{i}$	37.77 $^{\circ}$
Optical constant of B270 Schott Glass @	300–1800 nm
Refractive index, $n$	1.50–1.56
Absorption coefficient, $α$	$2.81 \times 10^{- 04} {m m}^{- 1} - 0.14 {m m}^{- 1}$
Extinction coefficient, $k$	$1.23 \times 10^{- 08} - 3.59 \times 10^{- 06}$
Internal transmittance, $T_{i}$	0–0.989
External transmittance, $T_{e}$	0–0.906

	Single Wavelength 550 nm		Full Solar Spectrum
Subcell	Single Cell	CCPC-CPV Assembly Module	Single Cell	CCPC-CPV Assembly Module
InGaP	14.04 mA	67.32 mA	12.88 mA	59.66 mA
InGaAs	18.28 mA	87.63 mA	9.75 mA	45.29 mA
Ge	70.37 mA	337.41 mA	16.66 mA	75.04 mA

Type of Optical Losses	Percentage (in Term of Input)
Fresnel Loss I—air to CCPC lens	4.21%
Absorption Loss—CCPC lens	11.59%
Edge/Corner Leakage	1.48%
Optical loss caused by light escaping from optical adhesive	3.31%
Fresnel Loss II—CCPC lens to optical adhesive	0.52%
Fresnel Loss III—optical adhesive to MJSC	6.54%
Total optical losses	27.65%

	Simulated Result
	Single Wavelength 550 nm	Full Solar Spectrum	Indoor Measured Result	Outdoor Measured Result
$I_{C C P C - C P V}$	67.32 mA	45.29 mA	43.26 mA	42.13 mA
$I_{C P V}$	14.04 mA	9.75 mA	9.46 mA	9.40 mA
Solar Concentration Ratio (SCR)	4.79 suns	4.65 suns	4.57 suns	4.48 suns
Optical Efficiency	79.9%	77.4%	76.2%	74.7%

Secondary Optical Element (SOE):	Crossed Compound Parabolic Concentrator (CCPC) Lens
Dielectric material	B270 Schott glass
Dimension of the entrance aperture, $2 a$	$24 m m \times 24 m m$
Dimension of the exit aperture, $2 a^{'}$	$9.8 m m \times 9.8 m m$
Length, $L$	37.78 mm
Geometrical concentration ratio (GCR)	5.998
Angular half acceptance angle, $θ_{i}$	37.77 $^{\circ}$
Optical constant of B270 Schott Glass @	300–1800 nm
Refractive index, $n$	1.50–1.56
Absorption coefficient, $α$	$2.81 \times 10^{- 04} {m m}^{- 1} - 0.14 {m m}^{- 1}$
Extinction coefficient, $k$	$1.23 \times 10^{- 08} - 3.59 \times 10^{- 06}$
Internal transmittance, $T_{i}$	0–0.989
External transmittance, $T_{e}$	0–0.906

Abstract

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Tables (4)

Equations (6)

Applied Optics