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

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

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83 distribution of local currents and voltages for any given terminal voltage. In this model for defect clusters, there are basically two kinds of diodes—a defect-free diode and a diode with defects. Figure 5.4 (a) Α schematic of a defect cluster, and (b) a network model of a solar cell showing voltage and current sources corresponding to dark (indicated by subscript d) and illuminated (indicated by subscript L) conditions, and the resistive components due to the sheet rho of the junction [112]. The characteristics of each cell can be expressed in terms of the Jph and two exponential components of the dark current in a standard form as:

84 Jdark(V) = J01i.exp{(-eV/kT) - 1 } + J02i{exp (-eV/2kT)-1 } The saturation currents J01 and J02 can be written in standard forms for a Ρ/N junction. The total current, J, is given by: J = Jphi - Jdarki(V) where Jphi and Jdarki (V) are the photogenerated and the dark-current densities, respectively, and i corresponds to either a defect-free cell element or a cell element with defects [115, 116]. The values of Jphi, J0ii, and J02i can be estimated from experimental measurements. For example, we select one cell and make an estimate of J ph values for defect-free cells and cells with defects based on LBIC (long wavelength) responses and cell I- V plots. However, J01 and Joe cannot be determined from the cell itself. A library of J01 and J02 values for a variety of materials and for different defect densities is available. It uses a diode array technique that has been described in the literature [117]. Edgepassivated, mesa diode arrays are fabricated on wafers and their electrical characteristics are probed. The device characteristics and their defect data are compiled and used as input in the model. The output of the model generates terminal I- V characteristics of the total cell and spatial distribution of cell voltages and currents for any terminal voltage. These sets of data result in excellent agreement between calculated and actual terminal characteristics of the large-area cell (as seen in next section). It should be pointed out that the network model assumes no internal carrier transport—the communication between the devices occurs via a highly conducting emitter region and the bus bar. 5.4.2 Experimental Approach The major objective of the experimental work is to fabricate solar cells on wafers of known distribution of defect clusters and compare the cell characteristics with theoretical

83<br />

distribution <strong>of</strong> local currents <strong>and</strong> voltages for any given terminal voltage. In this model<br />

for defect clusters, there are basically two kinds <strong>of</strong> diodes—a defect-free diode <strong>and</strong> a diode<br />

with defects.<br />

Figure 5.4 (a) Α schematic <strong>of</strong> a defect cluster, <strong>and</strong> (b) a network model <strong>of</strong> a <strong>solar</strong> cell<br />

showing voltage <strong>and</strong> current sources corresponding to dark (indicated <strong>by</strong><br />

subscript d) <strong>and</strong> illuminated (indicated <strong>by</strong> subscript L) conditions, <strong>and</strong> the<br />

resistive components due to the sheet rho <strong>of</strong> the junction [112].<br />

The characteristics <strong>of</strong> each cell can be expressed in terms <strong>of</strong> the Jph <strong>and</strong> two<br />

exponential components <strong>of</strong> the dark current in a st<strong>and</strong>ard form as:

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