NREL’s analytic equation uses open-circuit voltage data to determine how much recombination occurs via different channels in a solar cell.
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Shockley-Reed-Hall recombination plays an important role in determining the performance of solar cells that are limited by defects. Critical regions with problematic defect recombination can include the space-charge region (SCR), quasi-neutral region (QNR), base-emitter interface, and surfaces.
The dominant recombination mechanism in a solar cell can be identified experimentally by measuring open-circuit voltage (VOC) as a function of temperature and light intensity. But existing analytical formulas for VOC are currently derived for a single mechanism—and they do not permit separate determination of the magnitude of recombination in each region.

Heterojunction band-diagram for amorphous/crystalline silicon (a-Si/c-Si) solar cell. The labeled regions of potential recombination are the front and rear surfaces, interface, space-charge region, and quasi-neutral region.
Scientists at the National Renewable Energy Laboratory (NREL), however, have developed a straightforward characterization approach to analyze recombination occurring via different pathways in a solar cell. The overall recombination in different regions of a cell is equated to the total generation rate, and the resulting excess carrier concentration is related to VOC. The scientists, thereby obtain an equation for VOC that depends on the light intensity, temperature, and strength of recombination in the SCR, QNR, and junction-interface regions.
The new formula can be applied to accurately model performance variation with respect to defect parameters, light intensity, and temperature. As an application, NREL researchers used their new method with experimental data on polycrystalline CuInGaSe solar cells. By determining recombination fractions in each region, they have gained a better understanding of possible device modifications to improve overall performance.
Key Research Results
Achievement
NREL developed a characterization approach to analyze recombination occurring via different channels in a solar cell.
Key Result
NREL researchers obtained an equation for open-circuit voltage that depends on light intensity, temperature, and strength of recombination in different regions of a solar cell.
Potential Impact
Applying the new formula allows accurate modeling of changes in performance due to defect parameters, light intensity, and temperature.
Year: 2013
Technical Contact: Sachit Grover, sachit.grover@nrel.gov
References: Grover, S.; Li, J.V.; Young, D.L.; Stradins, P.; Branz, H.M. (2013). “New Analysis of Suns-VOC and VOC (T): A Simple
Method to Identify Recombination Channels in Solar Cells.” 39th IEEE Photovoltaic Specialists Conference; June 16–21, 2013,
Tampa, Florida.
Grover, S.; Li, J.V.; Young, D.L.; Stradins, P.; Branz, H.M. (2013). “Reformulation of Solar Cell Physics to Facilitate Experimental Separation of Recombination Pathways.” Applied Physics Letters (103: 9); pp. 093502–093502-5. DOI: 10.1063/1.4819728.
Source: NREL
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