approximation of the I-V characteristic of a solar cell generator

An empirical linearly-hyperbolic approximation of the I − V characteristic of a solar cell is presented. This approximation is based on hyperbolic dependence of a current of p−n junctions on voltage for large currents. Such empirical approximation is compared with the early proposed formal linearly-hyperbolic approximation of a solar cell. The expressions defining laws of change of parameters of formal approximation at change of a photo current of family of characteristics are received. It allows simplifying a finding of parameters of approximation on actual curves, to specify their values. Analytical calculation of load regime for linearly hyperbolic model leads to quadratic equation. Also, this model allows to define soundly a deviation from the maximum power regime and to compare efficiency of regimes of solar cells with different parameters. Keywords—a solar cell generator, I − V characteristic, p − n junction, approximation .