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Modeling of solar cells
In order to obtain more detailed information about the serial resistance of a solar cell, the classical two-diode model is enriched with a two-dimensional description of the emitter current. Due to the exponential diode characteristics, the resulting Poisson equation for the voltage distribution has a non-linear source term. Since the emitter voltage can experimentally be deduced from electroluminescence images of solar cells (see picture below), a parameter identification is possible. ![]()
To simplify the numerical treatment, reduced models are derived from the full set of equations using methods
from asymptotic analysis.
For a one-dimensional reduced model, existence of classical solutions has been proved and the parameter identification problem from the current-voltage characteristic has been solved.
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