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Silicon-based solar cells Characteristics and production processes ...

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<strong>Silicon</strong>-<strong>based</strong> <strong>solar</strong> <strong>cells</strong> – characteristics <strong>and</strong> <strong>production</strong> <strong>processes</strong><br />

Tab. 8. Comparison of the effect of the basic <strong>production</strong> methods for collecting electrode<br />

contacts on the contact parameters <strong>and</strong> the fill factor FF of the cell [45]. The designations<br />

are in accordance with those in Figure 8.<br />

Parameter<br />

Contact forming method<br />

Screen printing Chemical Photolithography<br />

bath<br />

Height a 14 µm 50 µm 8 µm<br />

Width L 80 µm 20 µm 20 µm<br />

Contact resistivity 0.3 ÷ 3 mΩcm 2 3 µΩcm 2 0.01 mΩcm 2<br />

Contact material resistivity 3 µΩcm 1.7 µΩcm 1.7 µΩcm<br />

Fill factor FF 0,74 ÷ 0,77 0,78 ÷ 0,79 0,81 ÷ 0,82<br />

2.4 Generation <strong>and</strong> recombination of charge carriers <strong>and</strong> quantum efficiency<br />

of the cell.<br />

All the cell’s volume, under the effect of the absorption of radiation with the<br />

photon energy E fot larger than the energy gap E g for Si, one can observe a generation<br />

of electron-hole pairs at the rate G(x), which increases the electron concentration in<br />

the conduction b<strong>and</strong> <strong>and</strong> the hole concentration in the valence b<strong>and</strong>. At the same<br />

time, the process of recombination takes place with the velocity R r (x), which causes<br />

some of the electrons to transit back to the valence b<strong>and</strong>. Thus, the condition for the<br />

current to flow from the cell is the fulfillment of the following dependence:<br />

G(x) − R<br />

r<br />

(x) > 0<br />

(11)<br />

The generation rate G(x) is the function dependent on α <strong>and</strong> x according to the<br />

formula [17]:<br />

( ) α( λ) N ( λ) [ 1−<br />

R ( λ)<br />

] exp − α( λ)<br />

G x<br />

∞<br />

= ∫<br />

0<br />

ph<br />

ref<br />

[ x]dλ<br />

The lifetime τ of the generated charge carriers, directly connected with the<br />

diffusion length by the dependence (4), in the silicon applied in photovoltaics, is<br />

of the order of a few tens of µs <strong>and</strong>, compared to the lifetime of the silicon with the<br />

highest electronic quality, which can even be over one millisecond, is very short. This<br />

results from the economical calculation, which takes into account the reduction<br />

of costs of the silicon <strong>production</strong> for sector PV, <strong>and</strong> this affects the flawing of the<br />

crystalline structure of Si <strong>and</strong> the level of impurities. The value τ is dependent on the<br />

carriers’ lifetime as a result of the process of radiative recombination - τ rad , the Auger<br />

(12)<br />

23

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