The open-circuit voltage, Voc, is the maximum voltage available from a solar cell, and this occurs at zero current. The open-circuit voltage corresponds to the amount of forward bias on the solar cell due to the bias of the solar cell junction with the light-generated current. The open-circuit voltage is shown on the IV curve below.

iv curve

IV curve of a solar cell showing the open-circuit voltage.

An equation for Voc is found by setting the net current equal to zero in the solar cell equation to give:

Saturation current, I0 =
A
Light generated current, IL =
A
Ideality factor, n =
Temperature, T =
K
Voc =
V

The above equation shows that Voc depends on the saturation current of the solar cell and the light-generated current. While Isc typically has a small variation, the key effect is the saturation current, since this may vary by orders of magnitude. The saturation current, I0 depends on recombination in the solar cell. Open-circuit voltage is then a measure of the amount of recombination in the device. Silicon solar cells on high quality single crystalline material have open-circuit voltages of up to 730 mV under one sun and AM1.5 conditions, while commercial devices on multicrystalline silicon typically have open-circuit voltages around 600 mV.

The VOC can also be determined from the carrier concentration:

where kT/q is the thermal voltage, NA is the doping concentration, Δn is the excess carrier concentration and ni is the intrinsic carrier concentration. The determination of Voc from the carrier concentration is also termed Implied Voc.

Doping concentration, NA =
cm-3
Excess carrier concentration, Δn =
cm-3
Temperature, T =
K
intrinsic carrier concentration, ni =
cm-3
Voc =
V