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ADDITIONAL TOPICS 107<br />

The FF is a function of V OC (equation 3.134), so<br />

η Xsuns = η 1sun (<br />

FF<br />

Xsuns<br />

FF 1sun ) ⎛ ⎜ ⎜⎝ 1 +<br />

⎞<br />

kT<br />

q ln X<br />

⎟<br />

VOC<br />

1sun ⎠ . (3.165)<br />

Both factors multiplying the 1 sun efficiency increase as the illumination concentration<br />

increases. Therefore, the efficiency of concentrator cells increases as the illumination<br />

concentration increases, as shown in Figure 3.25.<br />

Of course, there are many obstacles to achieving this. Concentrator cells must be<br />

cooled, since an increase in operating temperature reduces V OC , and hence the cell efficiency.<br />

The FF Xsuns eventually decreases with increasing X and current due to the parasitic<br />

series resistance. Concentrator solar cells are discussed in more detail in Chapter 11.<br />

3.5.6 High-level Injection<br />

In high-level injection, the excess carrier concentrations greatly exceed the doping in<br />

the base region, so p ≈ n ≈ n ≈ p if the carriers are moving generally in the same<br />

direction. This occurs with back-contact solar cells, such as the silicon point-contact solar<br />

1.30<br />

1.25<br />

1.20<br />

h(X suns)/h(1 sun)<br />

1.15<br />

1.10<br />

1.05<br />

1.00<br />

10 0 10 1 10 2 10 3<br />

Illumination concentration<br />

[X]<br />

Figure 3.25<br />

Relative efficiency as a function of illumination concentration

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