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Surface and bulk passivation of multicrystalline silicon solar cells by ...

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84<br />

Jdark(V) = J01i.exp{(-eV/kT) - 1 } + J02i{exp (-eV/2kT)-1 }<br />

The saturation currents J01 <strong>and</strong> J02 can be written in st<strong>and</strong>ard forms for a Ρ/N<br />

junction. The total current, J, is given <strong>by</strong>:<br />

J = Jphi - Jdarki(V)<br />

where Jphi <strong>and</strong> Jdarki (V) are the photogenerated <strong>and</strong> the dark-current densities,<br />

respectively, <strong>and</strong> i corresponds to either a defect-free cell element or a cell element with<br />

defects [115, 116]. The values <strong>of</strong> Jphi, J0ii, <strong>and</strong> J02i can be estimated from experimental<br />

measurements. For example, we select one cell <strong>and</strong> make an estimate <strong>of</strong> J ph values for<br />

defect-free <strong>cells</strong> <strong>and</strong> <strong>cells</strong> with defects based on LBIC (long wavelength) responses <strong>and</strong><br />

cell I- V plots. However, J01 <strong>and</strong> Joe cannot be determined from the cell itself. A library <strong>of</strong><br />

J01 <strong>and</strong> J02 values for a variety <strong>of</strong> materials <strong>and</strong> for different defect densities is available.<br />

It uses a diode array technique that has been described in the literature [117]. Edgepassivated,<br />

mesa diode arrays are fabricated on wafers <strong>and</strong> their electrical characteristics<br />

are probed. The device characteristics <strong>and</strong> their defect data are compiled <strong>and</strong> used as<br />

input in the model. The output <strong>of</strong> the model generates terminal I- V characteristics <strong>of</strong> the<br />

total cell <strong>and</strong> spatial distribution <strong>of</strong> cell voltages <strong>and</strong> currents for any terminal voltage.<br />

These sets <strong>of</strong> data result in excellent agreement between calculated <strong>and</strong> actual terminal<br />

characteristics <strong>of</strong> the large-area cell (as seen in next section). It should be pointed out that<br />

the network model assumes no internal carrier transport—the communication between<br />

the devices occurs via a highly conducting emitter region <strong>and</strong> the bus bar.<br />

5.4.2 Experimental Approach<br />

The major objective <strong>of</strong> the experimental work is to fabricate <strong>solar</strong> <strong>cells</strong> on wafers <strong>of</strong><br />

known distribution <strong>of</strong> defect clusters <strong>and</strong> compare the cell characteristics with theoretical

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