Effect of non-uniform illumination on performance of solar thermoelectric generators
Ershuai YIN1, Qiang LI1(), Yimin XUAN2
1. MIIT Key Laboratory of Thermal Control of Electronic Equipment, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China 2. IMIIT Key Laboratory of Thermal Control of Electronic Equipment, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China; School of Energy and Power, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Solar thermoelectric generators (STEGs) are heat engines which can generate electricity from concentrated sunlight. The non-uniform illumination caused by the optical concentrator may affect the performance of solar thermoelectric generators. In this paper, a three-dimensional finite element model of solar thermoelectric generators is established. The two-dimensional Gaussian distribution is employed to modify the illumination profiles incident on the thermoelectric generator. Six non-uniformities of solar illumination are investigated while keeping the total energy constant. The influences of non-uniform illumination on the temperature distribution, the voltage distribution, and the maximum output power are respectively discussed. Three thermoelectric generators with 32, 18 and 8 pairs of thermocouples are compared to investigate their capability under non-uniform solar radiation. The result shows that the non-uniformity of the solar illumination has a great effect on the temperature distribution and the voltage distribution. Central thermoelectric legs can achieve a larger temperature difference and generate a larger voltage than peripheral ones. The non-uniform solar illumination will weaken the capability of the TE generator, and the maximum output power decrease by 1.4% among the range of non-uniformity studied in this paper. Reducing the number of the thermoelectric legs for non-uniform solar illumination can greatly increase the performance of the thermoelectric generator.
Specific heat capacity of ceramic plate/(J?(kg?K)-1)
850
Transmittance of the glass
0.94
Emissivity of selective absorber
0.05
Absorptance of the solar selective absorber
0.95
Temperature of environment/K
293.15
Convection heat transfer coefficient at the lower surface of TE/(W?m-2?K-1)
10000
Tab.1
Fig.5
Fig.6
Fig.7
Fig.8
Fig.9
Fig.10
CP
Specific heat capacity/(J?(kg?K)-1)
T
Temperature/K
t
Time/s
Heat flux vector/(W?m-2)
Heat generation rate/(W?m-3)
Hamiltonian
s
Seebeck coefficient/(V?K)
k
Thermal conductivity/(W?(m?K)-1)
Electric current density vector/(A?m-2)
Electric field intensity vector/(V?m-1)
Electric fluxdensity vector/(A?m-2)
Z
Figure of merit of TE generator
G
Solar radiation density/(W?m-2)
D2
Variance of Gaussian distribution
G0
Density of uniform radiation/(W?m-2)
As
Area of selective absorber/m2
Q
Heat flux density/(W?m-2)
P
Output power of TE generator/W
V
Voltage/V
r
Resistance/W
r
Density/(kg?m-3)
s
Electrical conductivity/(S?m-1)
j
Electric scalar potential/V
p
Eircumference ratio
w
Normalization factor
t
Transmittance of the glass
a
Absorptance of the solar selective absorber
e
Emissivity of selective absorber
e
External resistance
oc
Open circuit voltage
max
Maximum output power of TE generator
TE
Thermoelectric generator
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