The potential application of an R134a-cooled two-phase microcooler for thermal management of a triple junction solar cell (CPV), under concentration of 2000 suns, is presented. An analytical model for the triple-junction solar cell temperature based on prediction of two-phase flow boiling in microchannel coolers is developed and exercised with empirical correlations from the open literature for the heat transfer coefficient, pressure drop, and critical heat flux. The thermofluid analysis is augmented by detailed energy modeling relating the solar energy harvest to the “parasitic” work expended to provide the requisite cooling, including pumping power and the energy consumed in the formation and fabrication of the microcooler itself. Three fin thicknesses, between 100 μm and 500 μm, a variable number of fins, between 0 and 9, and 5 channel heights between 0.25 mm and 3 mm, are examined for a R134a flow rate of 0.85 g/s to determine the energy efficient microcooler design for a 10 mm × 10 mm triple junction CPV cell.

References

1.
Pérez-Higueras
,
P.
,
Mũnoz
,
E.
,
Almonacid
,
G.
, and
Vidal
,
P. G.
,
2011
, “
High Concentrator PhotoVoltaics Efficiencies: Present Status and Forecast
,”
Renewable Sustainable Energy Rev.
,
15
, pp.
1810
1815
.10.1016/j.rser.2010.11.046
2.
Radziemska
,
E.
,
2003
, “
Thermal Performance of Si and GaAs Based Solar Cells and Modules: A Review
,”
Prog. Energy Combust. Sci.
,
29
, pp.
407
424
.10.1016/S0360-1285(03)00032-7
3.
Royne
,
A.
,
Dey
,
C. J.
, and
Mills
,
D. R.
,
2005
, “
Cooling of Photovoltaic Cells Under Concentrated Illumination: A Critical Review
,”
Solar Energy Materials and Solar Cells
,
86
, pp.
451
483
.10.1016/j.solmat.2004.09.003
4.
Hana
,
X.
,
Wang
,
Y.
,
Zhu
,
L.
,
Xiang
,
H.
, and
Zhang
,
H.
,
2011
, “
Reliability Assessment of Silicone Coated Silicon Concentrator Solar Cells by Accelerated Aging Tests for Immersing in De-ionized Water
,”
Sol. Energy
,
85
, pp.
2781
2788
.10.1016/j.solener.2011.08.018
5.
Cao
,
M.
,
Butler
,
S.
,
Benoit
,
J. T.
,
Jiang
,
Y.
,
Radhakrishnan
,
R.
,
Chen
,
Y.
, and
Bendapudi
,
S.
,
2008
, “
Horne Thermal Stress Analysis/Life Prediction of Concentrating Photovoltaic Module
,”
ASME J. Sol. Energy Eng.
,
130
, pp.
1
9
.10.1115/1.2840572
6.
Zhu
,
L.
,
Boehm
,
R.
,
Wang
,
Y.
,
Halford
,
C.
, and
Sun
,
Y.
,
2011
, “
Water Immersion Cooling of PV Cells in a High Concentration System
,”
Sol. Energy Mater. Sol. Cells
,
95
, pp.
538
545
.10.1016/j.solmat.2010.08.037
7.
Han
,
X.
,
Wang
,
Y.
, and
Zhu
,
L.
,
2011
, “
Electrical and Thermal Performance of Silicon Concentrator Solar Cells Immersed in Dielectric Liquids
,”
Appl. Energy
,
88
, pp.
4481
4489
.10.1016/j.apenergy.2011.05.037
8.
Royne
,
A.
, and
Dey
,
C. J.
,
2007
, “
Design of a Jet Impingement Cooling Device for Densely Packed PV Cells Under High Concentration
,”
Sol. Energy
,
81
, pp.
1014
1024
.10.1016/j.solener.2006.11.015
9.
Kessel
,
T. V.
,
Abduljabar
,
A.
,
Alyahya
,
A.
,
Alyousef
,
B.
,
Badahdah
,
A.
,
Khonkar
,
H.
,
Kirchner
,
P.
,
Martin
,
Y.
,
Manzer
,
D.
,
Moumen
,
N.
,
Prabhakar
,
A.
,
Picunko
,
T.
,
Sandstrom
,
R.
,
Al-Saaedi
,
Y.
,
Wacaser
,
B.
, and
Guha
,
S.
,
2010
, “
Multi Receiver Concentrator Photovoltaic Testing at Extreme Concentrations
,”
Proceedings of the 35th IEEE Photovoltaic Specialists Conference (PVSC)
, 2010, IEEE, New York, pp.
000498
000502
.
10.
Kessel
,
T. V.
,
Abduljabar
,
A.
,
Khonkar
,
H.
,
Moumen
,
N.
,
Sandstrom
,
R.
,
Al-Saaedi
,
Y.
,
Martin
,
Y.
, and
Guha
,
S.
,
2009
, “
Concentrator Photovoltaic Reliability Testing at Extreme Concentrations up to 2000 Suns
,”
Proceedings of the 34th IEEE Photovoltaic Specialists Conference (PVSC)
, 2009, New York, pp.
001020
001023
.
12.
Iyengar
,
M.
, and
Bar-Cohen
,
A.
,
2003
, “
Least-Energy Optimization of Forced Convection Plate-Fin Heat Sinks
,”
IEEE
, Components and Packaging Technologies, IEEE Transactions,
28
(
1
), pp. 62–70.10.1109/TCAPT.2003.811484
13.
Copeland
,
D.
,
2000
, “
Optimization of Parallel Plate Heat Sinks for Forced Convection
,”
Proceedings of 16th IEEE SEMI-THERM Symp (SEMI-THERMAL 2000)
, San Jose, CA, 2000, IEEE, New York, pp.
266
272
.
14.
Gnielinski
,
V.
,
1976
, “
New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow
,”
Int. Chem. Eng.
,
16
, pp.
359
368
.
15.
Kakac
,
S.
,
1987
, “
The Effect of Temperature Dependent Fluid Properties on Convective Heat Transfer
,”
Handbook of Single-Phase Convective Heat Transfer
,
Wiley
,
New York
.
16.
White
,
F.
,
2003
, “
Viscous Flow in Ducts
Fluid Mechanics
, 6th ed.,
McGraw-Hill
,
New York
, p.
350
.
17.
Mei
,
F.
,
Parida
,
P. R.
,
Meng
,
J. W.
, and
Ekkad
,
S. V.
,
2008
, “
Fabrication, Assembly, and Testing of Cu-and Al-Based Microchannel Heat Exchangers
,”
J. Microelectromech. Syst.
,
17
, pp.
869
881
.10.1109/JMEMS.2008.924276
18.
Chen
,
J.
,
1966
, “
Correlation for Boiling Heat Transfer to Saturated Fluids in Convective Flow
,”
I&EC Process Des. Dev.
,
5
(
3
), pp.
322
329
.10.1021/i260019a023
19.
Rahim
,
E.
,
Revellin
,
R.
,
Thome
,
J.
, and
Bar-Cohen
,
A.
,
2011
, “
Characterization and Prediction of Two-Phase Flow Regimes in Miniature Tubes
,”
Int. J. Multiphase Flow
,
37
, pp.
12
23
.10.1016/j.ijmultiphaseflow.2010.09.002
20.
Wang
,
P.
,
McCluskey
,
F. P.
, and
Bar-Cohen
,
A.
,
2011
, “
Evaluation of Two-Phase Cold Plate for Cooling Electric Vehicle Power Electronics
,” 2011 ASME International Mechanical Engineering Congress & Exposition, Volume 11: Nano and Micro Materials, Devices and Systems; Microsystems Integration:823–835.
ASME
Denver, CO, November 11–17, 2011, Paper No. IMECE2011-64330, pp. 823–835.10.1115/IMECE2011-64330
21.
Qu
,
W.
, and
Mudawar
,
I.
,
2004
, “
Measurement and Correlation of Critical Heat Flux in Two-Phase Microchannel Heat Sinks
,”
Int. J. Heat Mass Transfer
,
47
, pp.
2045
2059
.10.1016/j.ijheatmasstransfer.2003.12.006
22.
Muller-Steinhagen
,
H.
, and
Heck
,
K.
,
1986
, “
A Simple Friction Pressure Drop Correlation for Two-Phase Flow in Pipes
,”
Chem. Eng. Process.
,
20
, pp.
297
308
.10.1016/0255-2701(86)80008-3
23.
Zivi
,
S. M.
,
1964
, “
Estimation of Steady-State Steam Void-Fraction by Means of the Principle of Minimum Entropy Production
,”
ASME J. Heat Transfer
,
86
, pp.
247
252
.10.1115/1.3687113
25.
Olson
,
J. M.
,
Friedman
,
D. J.
, and
Kurtz
,
S.
,
2003
, “
High-Efficiency III-V Multijunction Solar Cells
,”
Handbook of Photovoltaic Science and Engineering
, Chap. 9.
26.
Jones
,
R.
,
2011
, private communication.
27.
Reeser
,
A.
,
2013
, “
Energy Efficient Two-Phase Cooling for Concentrated Photovoltaic Arrays
,” Master's thesis, University of Maryland, College Park, MD.
You do not currently have access to this content.