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