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VERY HIGH EFFICIENCY CONCEPTS 137<br />

Efficiency h<br />

[%]<br />

100<br />

6000<br />

90<br />

80<br />

85.4%<br />

5500<br />

5000<br />

70<br />

60<br />

50<br />

4500<br />

4000<br />

40<br />

3500<br />

30<br />

3000<br />

20<br />

2544 K<br />

10<br />

2500<br />

0<br />

1 10<br />

100 2000<br />

(∆eH rc )/(eH rs )<br />

Temperature of the radiator T r<br />

[K]<br />

Figure 4.8 TPV ideal converter efficiency versus H rc ε/H rs ε. The energy ε and the cell voltage<br />

V are optimised<br />

Hot cell<br />

(LED)<br />

Cold cell<br />

·<br />

E s<br />

·<br />

E r<br />

Hot cell (LED) T r<br />

·<br />

E r ′<br />

·<br />

E c<br />

·<br />

W r<br />

W·<br />

A i inlet A r A c<br />

Cold<br />

cell<br />

·<br />

W c<br />

Concentrator<br />

Cavity<br />

·<br />

Q c<br />

Environment at T a<br />

(a)<br />

(b)<br />

Figure 4.9 Diagram of the TPH converter with cavity. In (b), the energy fluxes are given<br />

by Ė s ≡ E(T s , 0, 0, ∞,H rs ), Ė r ≡ E(T r ,qV r , 0, ∞,H rs ), ˙Q r = Ė s − Ė r , Ė ′ r ≡ E(T r,qV r , 0, ∞,H rc ),<br />

Ė ′ c ≡ E(T a,qV c ,ε g , ∞,H rc )<br />

emitted by a heated light emitting diode (LED) into electricity. A diagram of this device<br />

is found in Figure 4.9. As in the TPV device, the LED can be heated with a fuel, but in<br />

our context it is heated as well with radiation absorbed from the sun. To emit luminescent<br />

radiation, the LED absorbs electric power, Ẇ r , in addition to the power delivered from<br />

the photons that illuminate the absorber. This power is to be subtracted from the electric<br />

power converted by the solar cell Ẇ c .

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