Learner's Notes
Cost factors, Netmetering, and more ...
SOLAR CELL
         A solar cell is formed by a light sensitive P-N juction semiconductor, which when exposed to
sunlight are bombarded by the photons in light (Photons are particles of light, like we have atoms as
particles of an element). Every photon has a energy. If the energy of the photon, hitting an electron of an atom in the semiconductor, is greater than or equal to the energy required to release the electron from its non-conducting position in the atom to the free conducting state, it will contribute to the output of the solar cell.

The free electrons generated, find a path towards the P-type semiconductor (As the rule goes " unlike charges attract each other " ), through an external path.

If an external path is not there, the process of generating free electrons stops. The more the amount of light falling on the cell's surface, more is the probability of photons releasing electrons, and hence more electricity generated.

SOLAR PANEL
          An average sized solar cell with sufficient light, produces around 0.3V. Solar cells are generally stacked up together in series or parallel, and sold as solar panels. A solar panel may consist of 300 or more solar cells. If these cells are arranged in series combination, they yield a larger voltage(sum of cell voltages). If they are arranged in parallel combination, they yield a larger current (sum of cell currents).
In the panel connections shown, the top portion of the cells(represented by circles) is marked as positive, and the bottom portion is marked as negative. In the series connection, if one cell can generate v volts, then the total or rated voltage available at the terminals is v x n volts; where n - no. of cells.
In the parallel connection, if one cell can supply I amps to the external circuit, then the total or rated current that can be supplied is I x n amps; where n - no. of cells.

ENERGY WASTED
         When the cell is exposed to the solar spectrum, a photon that has an energy less than the band gap Eg. makes no contribution to the cell output. A photon that has an energy greater than Eg contributes an energy Eg. to the cell output. A photon that has an energy greater than Eg. contributes an energy Eg. to the cell output. Energy greater than Eg. is wasted as heat.


TYPES OF SOLAR CELLS
         The solar cells are classified into three different types depending upon their manufacture.
They are,
1) Homojunction cells
2) Schottky Barrier Solar Cells
3) Heterojunction and Thin Film Cells.

HOMOJUNCTION CELLS
          Homojunction cells are those whose P & N type materials are made of the same crystal as shown.
Examples. : Silicon cells and Gallium Arsenide (GaAs) cells.

The conversion efficiency of a Si P-N junction solar cell decreases less rapidly with temperature because of the higher band gap of GaAs. However, a serious problem with GaAs is that because of its direct band gap the value of a is high.
As a consequence, the electron-hole pairs are created very near the surface and are lost by surface recombination before reaching the junction depletion region. Thus, a very thin N-region is required on the P-type base. The most important use of Si solar cells has been in space satellites where no other satisfactory energy sources are available.


SCHOTTKY BARRIER CELLS
In a Schottky barrier solar cell, a thin metal film is deposited on the semicondutor. Figure below shows the energy band diagram of a cell made on a P-type semiconductor. When light is incident on the front surface, photon with energy hm>qfe can excite holes from the metal over the barrier into the semiconductor. The main advantage of Schottky barrier solar cells is that they do not require high temperature processing like diffusion, and thus, the processing cost is reduced.

HETEROJUNCTION AND THIN FILM CELLS
              Heterojunction solar cells have some advanta ges over the conventional homojunction cells. If the top layer semiconductor has a larger band gap Eg1 than the band gap Eg2 of the base region, then photons with energy hm>Eg1 are largely absorbed in the top layer. The top layer, however, acts as a window for the low energy photons that will be absorbed by the second semiconductor.

This will enhance the short wavelength response. The main difficulty in obtaining a heterojunction solar cell is to find semiconductors that have a good lattice match. Two such semiconductors are AlAs and GaAs. AlAs has a wider band gap(2.2eV) than GaAs. Thin film solar cells are fabricated using films of semicond ucting materials deposited on electrically active or passive substrates like glass, ceramic, graphite, or a metal. Because of the availability of inexpensive materials and lower processing costs, thin film solar cells have the advantage of low cost. However, these cells have low efficiencies.

CONVERSION EFFICIENCY

From the equivalent circuit, the conversion efficiency of a P-N junction solar cell is derived as
                                       hc = (Im Vm) / Pin

where,
         Vm Im - values of voltage and current at maximum power
                      condition
         Pin- Incident power.

         hc = (FF IL Vcc) / Pin
                     Vcc- Open circuit voltage
                     IL-Full load current
                     FF = Fill factor of the cell = ( ImVm ) / ( ILVoc )

         To increase efficiency, IL, Voc, FF should be maximized.
A plot of conversion efficiency (hc)Vs band gap (eV) is as shown in figure below.

From the graph, it is seen that, semiconductors with band gaps between 1 and 2eV have a theoretical efficiency in excess of 20percent, and all of them can be considered solar cell materials. 
 
However, because of technological and other considerations, the choice has to be made between Si and GaAs.
 
Although GaAs offers the possibility of higher efficiency and power output, Si is widely used in P_N junction cells because of its more advance technology and lower cost.

DESIGN CONSIDERATIONS
         The light is transmitted through the
semiconductor. The monochromatic light, as it passes through the semiconductor, decays exponentially, and is a function of the wavelength (known as absorption coefficient). i.e., the ability of a material to absorb light is measured by its absorbtion coefficient. 

Figure, shows a plotted as a function of photon energy for a number of semiconductors. Note that
for a given photon energy the larger the value of Eg, the lower the absorption coefficient.

REASONS FOR LOW EFFICIENCY AND IMPROVEMENT
           The solar cell has a very low efficiency (about 30-40%). A photon has got quite a large supply of energy but a low momentum. 

A major reason for the low efficiency of a solar cell is the fact that each photon, irrespective of its high energy, generates one electron hole pair. The electron and hole quickly thermalise or relax back to the edges of the respective carrier bands emitting 'Photons', a fundamental particle which, unlike a photon, has low energy but relatively high momentum. The energy thus wasted is dissipated as heat. Excessive recombination of carriers (electron and hole) in the semiconductor bulk and at the surfaces reduces efficiency.

Only the electron hole pair generated near the P-N junction contributes to light generated current. Carriers generated well away from the junction have the tendency to recombine before these complete their travel from the point of generation to the solar cell terminal. Loss occurs due to reflection of incident light too. Bare silicon chip is quite reflective. 

However, anti-reflection coating reduces such loss from 30 to 10 percent. It is necessary to provide a metal terminal on the chip for making electrical contact. This reduces the active surface area of the semiconductor exposed to sunlight. This blocks 5 to 15 % of the incoming light. If the cell is not thick enough, a part of the incident light will not be absorbed, and it passes out at the back. Power output and efficiency decrease with increasing operating temperature. Power output of silicon solar cell decreases by 0.4 to 0.5 percent per degree Celsius.

Semiconductor material, metallic electrical contacts, and interconnection have series resistance.
Leakage across the P-N junction also causes shunt resistance. All these resistance waste energy,
thus decreasing the efficiency. The performance of solar cells has also been improved by reducing
the reflection of the incident light from the surface. This has been achieved by surface texturing using chemical etchants.Some slow etchants are found to selectively etch theSi surface and produce

pyramidical tetrahedra of highdensity that are
uniformly distributed over the surface[fig.] Surface texturing has two advantages.

First, the multiple reflections reduce the amount of light reflected back from the surface. Second, the light gets refracted as it enters Si and travels obliquely through the cell causing its absorption closer to the junction.

TODAY'S SCENE IN THE INDUSTRY

           Efforts are being made to reduce the cost of electricity produced by using solar panels, by
reducing the wastage, and by making more efficient cells. Also, there are several other approaches
towards making solar power economical compared to other sources of power.

I Approach : By using solar concentrators, more light can be focussed on to a cell thereby increasing the output. (Note that this approach is already being used for solar heating.)
II Approach : By using tracking system, which track the relative movement of the sun to the earth
and tilt the solar module towards the sun.
III Approach : The solar beam is split into two or more parts of different wavelengths (i.e., of
different colours). Each of this spectrum of light is then foccussed on a separate solar cell most
sensitive to it. IV Approach : The sunlight is allowed to pass through thin cells of different materials
lying above one another. The topmost cell absorbs and is activated by photons of higher energy. The
next cell is activated by photons of lesser energy, and the last cell absorbs light rays of greater
wavelength.
V Approach : Concentrated solar energy is used to heat a radiator surface to a very high
temperature of 18000C at this temperature, the hot radiator surface emits photons to a range where
most of them are close to minimum excitation threshold of the silicon cell. Kindly note that by the time
you may be reading this line, the above approaches may have been modified, bettered, and put to
commercial usage.

CONCLUSION : Solar cells have become much more feasible, due to enormous development in electronics industry. It is expected that solar power will cost lesser than the conventional energy sources in a few more years.

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