[net.space] Solar energy

KEN@NJITCCCC.BITNET (Kenneth Ng) (03/12/86)

A few tidbits I've picked up on solar energy, taken from "The
Health Hazards of NOT Going Nuclear", by Petr Beckman.
At best, the concentration of solar energy is 1 kilowatt per
square meter.  Current solar technology is about 10% efficient,
theoritical maximum efficiency is 22%.  Allowing a 50% spacing
between solar collectors to allow for repair and shadows, and you
have a solar power plant 50 square miles big to generate 1000
megawatts of power.  I'm quite sure that even if a fusion reactor
needs an Astrodome to fit in, that it will not span 50 square miles.

dietz@SLB-DOLL.CSNET (Paul Dietz) (03/12/86)

> A few tidbits I've picked up on solar energy, taken from "The
> Health Hazards of NOT Going Nuclear", by Petr Beckman.
> At best, the concentration of solar energy is 1 kilowatt per
> square meter.  Current solar technology is about 10% efficient,
> theoritical maximum efficiency is 22%.  Allowing a 50% spacing
> between solar collectors to allow for repair and shadows, and you
> have a solar power plant 50 square miles big to generate 1000
> megawatts of power.  I'm quite sure that even if a fusion reactor
> needs an Astrodome to fit in, that it will not span 50 square miles.

Some corrections:

(1) One kilowatt per square meter is for *ground based* solar power
(at noon). Power satellites would transmit microwaves that could be
converted to electricity much more efficiently, so less land would be
used (and the rectifying antennas would be made of mesh so crops or
animals could be grown/grazed underneath).  Even without powersats,
ground based light collectors can be made more effective with orbital
mirrors (but the spot size of the reflection is large, so this doesn't
work on a small scale).

(2) The best current solar cells are much better than 10% efficient (but
are expensive), and solar-thermal systems (in which concentrated sunlight
heats a fluid that drives a heat engine) can be as efficient as
conventional power plants.  The 22% efficiency is for silicon cells, I
think; GaAs cells can be more efficient.

The problem with nuclear power now seems to be the extra capital investment
needed to build a nuclear plant offsets the savings in fuel costs, and
the complexity of nuclear plants makes them unreliable.

ST401385@BROWNVM.BITNET (03/12/86)

     A recent posting from Kenneth Ng quoted some obsolete figures for
solar power efficiencies.  This happens to be something I know something
about, so I present a more complete (and up to date) set of figures here.

> from "The Health Hazards of NOT Going Nuclear", by Petr Beckman.
> At best, the concentration of solar energy is 1 kilowatt per
> square meter.
  Correct.  This is at the earth's surface, at noon, on a panel
oriented perpendicular to the incident sunlight, on a clear day.
(In space, the energy density is about 1350 kw/m2)
Panels that do not track the sun average somewhat less, by a factor
of cos theta averaged from -90 to 90 degrees, or 2/pi.  If you then
add in night, the actual amount of incoming sunlight on a (non-tracking)
panel is 1/pi times this, or about 320 watts/meter2.  (If you track
the sun, the cos correction goes away, but the panels have to be
separated from each other to avoid shadowing, so the land area
needed increases)

> theoretical maximum efficiency is 22%.
     I don't have any idea where he gets this idea.  This is flat-out
WRONG.  In fact, existing solar cells beat this figure.
Maybe he means theoretical max efficiency for a single crystal, single
junction, unconcentrated silicon solar cell made using 1970 technology.
That IS about 22%.  The best figure I have for single crystal, single
junction, unconcentrated silicon using current technology is 27-29%.
(M.B. Spitzer, PhD thesis, Brown University, 1981; Tiedje et. al.,
IEEE Trans on Electron Dev., May 1984).
Theoretical limit for multibandgap cells is 40-75 percent, depending
on how many layers you want to make.

> Current solar technology is about 10% efficient.
This book must be using data from 1962.
Correct data (1985) is:
  Technology   Best efficiency
               Lab:    on sale:
  Single Cry.
   Silicon      19%       14%
  Amorph Si.    11%        5%
  GaAs          21%
  Conc. GaAs    26%

For reference, single crystal Si is what's mostly currently used
in terrestrial arrays.  Amorphous Si is used mostly in consumer
goods, like calculators; most people think some sort of amorphous
technology (not necessarily a-Si) will replace single
crystal for terrestrial arrays in a few years, when the efficiency
reaches 15 percent or so.  GaAs is not currently used for terrestrial
applications; I think some recent satellites have used it.

> Allowing a 50% spacing between solar collectors to allow for repair
> and shadows
     Seems a little high to me (unless you're talking tracking, in
which case it seems a little low), but I'll accept it.
>you have a solar power plant 50 square miles big to generate 1000
>megawatts of power.
 50 square miles/(0.6**2 sq.km per sq.mi)*1000000 m2/km2 = 1.4E8 m2
Even at your assumed efficiency of 10% * 1Kw/m2 *.67 packing fraction,
this is 9000 MW.  You made an arithmetic error.
     More to the point, the average home needs about 2 kW (ave) of
electricity.  Assume 15% efficiency, 1kW/m2, and include the 1/pi
correction, this means 21 square meters of area per home, or an area
15 feet by 15 feet.  This will fit on the roof.

The big problem for photovoltaics currently is price.  Cost for large
purchases is currently (1986) $6.00 per peak watt.   Installation, BOS,
etc.  pretty much doubles this cost to $12/watt.  Include the 1/pi
correction to get average watts from peak watts, and you get $38/watt.
Nuclear reactors are currently being built for about $6 per watt, and
run about 90% uptime, so the (capital cost) is about $7/watt.  (on the
other hand, there are fuel and operating costs for nuclear plants which
don't exist for photovoltaic arrays.  But I think (I don't know) that
these costs are small compared to the capital cost.)
   Many people think that photovoltaics will get down to about $0.80/watt
within a decade; in this case it looks very competitive.  I'm not sure I
believe all of the claims people make, however.
     On the other hand, photovoltaics is competitive NOW in third world
countries.  This is because these countries have not made the huge
investments needed to set up an electric grid--eg, a set of copper wires
connecting any point in the country to any other.   Current costs
(in the US) of extending the grid are about $10,000 per mile.  This is
just out of the reach of third world countries, and it is thus
economically worthwhile to generate electrically directly on site.

     I'm not sure what conclusion you can draw from these facts, except
that it is, at the current time, not at all clear which of many
technologies will win out in the next couple of decades (except to
say that oil will definitely lose out, sooner or later.)

                   --Geoffrey A. Landis, Brown University
                     Reply to: ST401385%BROWNVM.BITNET@WISCVM.ARPA

carroll@uiucdcsb.CS.UIUC.EDU (03/15/86)

	What about weather? It happens, a lot. And where I live (Central
Illinois; please, no corn jokes) it's cloudy a LOT. (over half the time). And
in the winter, when it's quite cold and there isn't much sun because 1.
the sunlight is not coming in vertically (that's why it's winter in the
first place), and 2. it's cloudy more than usual, is just when I need more
power (for heating); a LOT more than 2KW. Why, my 1.5KW space heater keeps
a few rooms warm, but that doesn't even count central heating. We keep our
house at 65 (day; 60 night) during the winter. So solar probably wouldn't
cut it for me. Not to mention clearing the ice off it during the middle of
winter with ice all over the roof. That's REAL safe.