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Concentrated illumination

Increasing the illumination intensity gives a higher short circuit current density which is not surprising. However, it is also an important option for higher efficiency. Let us look again at the equation for the open circuit voltage:

Concentrated illumination will actually increase the open circuit voltage Voc. Simply by illumination with concentrated light we can get higher efficiency out of any solar cell!

Levels of concentration

If we could concentrate enough to mach the short circuit current jsc with the current prefactor j00 we could get an open circuit voltage equivalent to the bandgap. This would require concentration levels in the range of millions or even billions.

Simple geometrical considerations give an upper limit for concentration which is much lower; the sun is not a point source but it appears as a disk with an angular width just below half a degree. Maximum concentration is achieved if we enlarge the disk so much that it fills the full solid angle. If we go through the maths it will work out to something around 46600. In this scenario we need a bifacial solar cell. Flat cells see a hemisphere at best, resulting in a maximum concentration of 23300 times.

With high levels of concentration we do have a problem with getting the current out of the cell. Concentration of 10000 or 1000 suns will create current densities of around 400 or 40 A/cm2, respectively, from a Silicon solar cell. In order to carry such currents with minimum loss we need quite big metal contacts. The problem of shadowing was neatly circumvented by back surface contacted cells where both, p- and n-contacts, are located on the back of the cell.

A still lower limit than the contacing is set by Auger recombination; due to the photogeneration we get a lot of electron-hole pairs. These free carriers are subject to Auger recombination and make the Fill Factor trail off at concentration levels around 200 to 500 in most practical concentrator cells.

Concentrator modules

Concentration is also an option for lower module prices because the solar irradiation is a rather dilute form of energy. Conventional solar cells made from bulk semiconductors require a lot of material which makes them quite expensive. Concentration of light with Fresnel lenses or external reflectors is easy and after concentration only small area solar cells are required. The cost of the actual solar cell may even become secodary.

However, there are a few more things to consider:



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