An Empirical Validation of the Linear- Hyperbolic 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.

• A. A. Penin

• a solar cell generator
• I − V characteristic
• p − n junction
• approximation

[1] S. M. Sze, Physics Of Semiconductor Devices, Russian translation,
Books 1, 2, Mir, Moskva, 1984.
[2] M. Akbaba and M. A. A. Alattavi,"A new model for I-V characteristic
of solar cell generators and its applications", Solar Energy Mater. Solar
Cells , 37, 1995, pp.123-132.
[3] A. A. Penin and A. S. Sidorenko, A convenient model for I-V
characteristic of a solar cell generator as an active two-pole with selflimitation
of current , International Journal of Electrical and Computer
Engineering, vol.4, 12, 2009, pp.761-765.
[4] A. A. Penin and A. S. Sidorenko, Determination of deviation from the
maximum power regime of a photovoltaic module , Moldavian Journal
of the Physical Sciences, 2, 2010.
[5] I. P. Stepanenko, Teoria Transistorov I Transistornyh Schem, Energia,
Moskva, 1973, (Russian).
[6] Russian diodes KD243, KD247, htt://www.chipinfo.ru/literature/radio/
200001/p50-52.html.
[7] HFA70NH60 diode datasheet, http://www.datasheetcatalog.com/datasheetspdf/
H/F/A/7/HFA70NH60.shtml.
[8] 120 Watt multi-crystalline photovoltaic module BP
MSX120. http://www.bp.com/liveassets/bp-internet/solar/bp-solarusa/
STAGING/local-assets/downloads-pdfs/pq/product-data-sheet-bpmsx-
120-02-4003-v2-en.pdf .