[ RadSafe ] SOLAR as a replacement for fossil fuel?
Ted de Castro
tdc at xrayted.com
Sun Mar 20 16:33:17 CDT 2011
Sorry folks - my calculator an I just aren't getting along today - my
previous numbers were wrong - too low. Here's the whole thing redone
and triple checked.
I welcome comment/correction - there ARE assumptions in here! BUT
bottom line - whatever form of prompt (solar cells or focusing for steam
generation) or near prompt (bio fuel or wind or wave or hydro - yes
hydro is solar powered too) - it would take harvesting ALL the solar
radiation from just too much of the earth's surface area (6.4% if by
land - 1.6% if by sea too for bio fuel - the cheapest way to cover the
most area) and thus would be also too costly. Its just not practical.
I found this an interesting exercise to assess potential.
Here are ALL the calcs:
Consumption:
ref 1:
Oil 85,000 thousand barrels per day
ref 2:
160 e15 btu/yr
coal 95e15 btu/yr
gas 95e15 btu/yr
Oil energy equivalent /barrel (42 gal crude 44 gal processed)
1.7 MWh
5.8 e6 BTU
6.1178632e9 J
surface of earth
50.25 e6 sq mi
1.396 e14 sqm
oil usage:
6.8 of 44 gal barrel NOT used as fuel
((44-6.8)/44) used as fuel = 0.8454545455
Solar
1.4 kw/sqm at noon at the equator at the summer solstice
avg sun 12 hr/day.
So - fossil fuel
85,000*1000*5.8 e6*0.8454545455*365.25 = 1.52 e17 btu.yr
or 160 e15 = 1.6 e17 as stated in the other reference
so data is consistent
Or using the the 1.7 MWhr number (1.7e3 KWhr)
1.7e3*0.8454545455*8.5e7*365.25 = 4.46e13 kWhr/yr for oil
PLUS 95/160*4.46e13 = 2.649e13 for coal
PLUS 95/160*4.46e13 = 2.649e13 for gas
= 9.76e13 kWhr/yr total fossil fuel
Solar
use 1.4 kW/sqM at noon solstice
Assume 12 hr/day
Assume AVG sunlight through day through latitudes ~ 1/3 max constant use .5
(requires ALL tracking solar collectors)
.5*1.396e14*12*365.25 = 3.059e17 kWhr/yr
THUS
3.19 e-4 (.0319%) of earth surface required at 100% efficiency
0.319% @ 10% - (1.276% of land only) (best solar cells currently 10%)
1.595% @ 2% (bio fuel grass) - (6.38% of land only)
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