Empirical Linearly- Hyperbolic Approximation of the I-V Characteristic of the p–n Junction Devices

Abstract

Empirical linearly-hyperbolic approximation of the I-V characteristic of diodes and solar cell is presented. This approximation is based on hyperbolic dependence of a current of the 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. There are obtained the expressions, defining laws of change of parameters of formal approximation at variation of a photocurrent for the set of characteristics. It allows simplifying a finding of parameters of approximation on actual curves, to specify their values. Analytical calculation of the load regime for linearly - perbolic 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.