Our sun on St. Patrick's Day.4
Electric Sunshine
Our sun is an average sized star
lying at the center of our solar system at a distance of about 150
million kilometers from earth.16
Sunlight is the radiant energy left
over from the process of fusing four Hydrogen atoms into two Helium
atoms; a process that has been occurring in the sun’s core for roughly
four and a half billion years at a variable rate of about four billion
kilograms of hydrogen per second.16
Incident solar radiation, called
isolation, is the radiant energy which travels at the speed of light
from the suns photosphere to Earth’s upper atmosphere.
Diagram of mean annual insolation on
the Earth.17
But how much energy are we talking about? The isolation received
at the
surface for any point on Earth will vary between 0 and 1050 watts per
meter squared (Wm-2) depending
on the
season, time of day, and cloudiness.7
From the figure below we can
take the mean daily isolation of the United States to be about 4700
Watt-hours per meter squared per day (Whm-2/day),
and then multiply this by the surface area of the United States 9.862
× 1012 m2
to
obtain the incident power as 4.64 × 1016
W h or 46,400 Tera Watt-hours (TWh).23
A map of average daily insolation
upon the United States.18
Comparing this to the total
energy consumed by the
US from all sources in 2005 given as 29,000 TWh, we can see that the
energy from sunlight incident on the US
in a single day could satisfy our nations energy requirements for an
entire year!23
Of course this would mean turning the entire country
into a giant solar panel having a 100% conversion efficiency, and this
is certainly not practical nor possible; the comparison though does
serve to demonstrate the extraordinary amount of energy contained in
ordinary sunlight.
A typical silicon solar cell
having a
surface area of 100cm2 will
produce about
1.5 W at 3 amps and 0.5 V on a sunny day under insolation of 0.1 Wcm-2.3
The output is direct current and we can assemble individual cells into
an array and then wire arrays together to form a flat panel or
module.8 Commercially
available modules are generally about 1 m2
and will yield an average of one kilo-watt hour per day (kWh); modules
are wired in series to obtain a desired voltage level such as 12 VDC,
and then series sets are wired in parallel to obtain a desired current
output.8 Residential
applications frequently have the modules placed
on the roof, and a typical residence will consume anywhere form 5 -
15kWh per day.8 So
installing
photovoltaic modules will significantly
off-set the amount of energy drawn from the grid to power the various
devices
within a given residence.
One thing you might be wondering
is why we only
pull about 100 W out of our modules when we have upwards of 1000 W
incident? The answer is that typical solar cells have conversion
efficiencies of about 12-14%. This is due to a number of factors
including cell reflectance, configuration of the conducting grid,
internal quantum efficiency, and the spectral dependence of the silicon
comprising the cell. That last item is a big one because it
determines how much of the incident spectrum can be harvested.
The following diagram shows the spectral conversion for silicon having
a band gap of 1.1 eV.
A graph of the energy
of the solar
spectrum at sea level as a function of wavelength. The
portion of the spectrum
convertible by a 1.1eV silicon solar cell is
shaded in
green.2
As
you can see, a large
portion of the incident spectrum is essentially invisible to our
photovoltaic array. The conversion efficiency can be increased by
stacking layers of silicon with varying spectral dependencies, but this
significantly increases the manufacturing costs. However there
are alternatives involving third generation photovoltaics which include
more exotic semiconductor materials, tandem cells, and even
nano-technology via quantum dots. Whether or not these
technologies become viable, integrated sources of energy for our homes
and businesses remains to be
seen, but the potential is certainly vast.
Web Project
by P. D. Wallace
University of Alaska Fairbanks
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