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ADDITIONAL TOPICS 103<br />

4.0<br />

3.5<br />

3.0<br />

R s = 200 mΩ<br />

R s = 50 mΩ<br />

R s = 0 Ω<br />

Cell current<br />

[A]<br />

2.5<br />

2.0<br />

1.5<br />

IR s<br />

1.0<br />

0.5<br />

0.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7<br />

Cell voltage<br />

[V]<br />

Figure 3.22<br />

(R Sh →∞)<br />

Effect of series resistance on the current–voltage characteristic of a solar cell<br />

recombination in each region is comparable, A o is somewhere in-between. At short circuit,<br />

equation (3.150) becomes<br />

and at open circuit, it becomes<br />

I SC = I ′ SC − I o(e qI SCR S /A o kT − 1) − I SC R S /R Sh (3.151)<br />

0 = I ′ SC − I o(e V OC/A o kT − 1) − V OC /R Sh . (3.152)<br />

When log(I SC ) is plotted versus V OC (where I SC and V OC are obtained over a range of<br />

illumination intensities), there is typically a regime where neither the series nor shunt<br />

resistances are important, as illustrated in Figure 3.24. The slope of this line will yield<br />

the diode ideality factor A o , while the y-intercept will give I o . In the regime where only<br />

series resistance is important, equations (3.151) and (3.152) can be combined to give<br />

I SC R S = A okT<br />

q<br />

[<br />

Io e qV OC/A o kT ]<br />

− I SC<br />

ln<br />

I o<br />

(3.153)

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