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Basic Research Needs for Solar Energy Utilization - Office of ...

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100%<br />

90%<br />

80%<br />

70%<br />

60%<br />

50%<br />

40%<br />

30%<br />

20%<br />

10%<br />

0%<br />

0 500 1,000 1,500 2,000 2,500 3,000 3,500 4,000<br />

Temperature [K]<br />

215<br />

C = 60<br />

C = 100<br />

C = 500<br />

C = 1,000<br />

C = 1,500<br />

C = 2,000<br />

C = 5,000<br />

C = 10,000<br />

Carnot<br />

Figure 73 Variation <strong>of</strong> ideal power conversion efficiency <strong>of</strong> a solar thermal system with<br />

temperature and sunlight concentration ratio; assumed DNI = 1000 W/m 2 [after Fletcher and<br />

Moen (1977)]<br />

As shown in Figure 73, ideally, the power conversion efficiency <strong>of</strong> solar thermal systems<br />

increases with temperature and concentration. However, the overall efficiency <strong>of</strong> a real system<br />

depends also on the optical efficiency; that is:<br />

ηsys = ηopt ηrec ηeng . (4)<br />

Here the optical efficiency ηopt is the ratio between the solar radiation reaching the receiver<br />

aperture (i.e., the “target”) and the direct normal solar radiation approaching the<br />

reflector/concentrator collection area.<br />

After some simplification, the optical efficiency becomes<br />

where<br />

ηopt = ρ n (1 - Sp)(1 - Sh)(1 - Bl) , (5)<br />

ρ = reflectivity <strong>of</strong> optical components<br />

n = number <strong>of</strong> reflections<br />

Sp, Sh, Bl = spillage (including back reflection), shadowed, and blocked portions<br />

<strong>of</strong> the incoming sunlight, respectively.

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