eSolar

The eSolar solution is the spies like us plan for power, and anything that invokes a pre Blues Brothers 2000 image of Dan Akroyd is good in my book.

They claim to scale in modules of 25 MW, so with a basic linear model for the amount of space one needs, assuming 100% energy transfer:

  1. The amount of energy incident on the earth at noon on a sunny day is ~100 mW/cm^2
  2. Based on a claim of 25 MW, this would require a raw area, (25^6/0.1)*(1/10000) = 25,000 square meters
  3. Based on the artist’s conception of these arrays, the packing efficiency is 75% (eyeballed), so the necessary area for 25 MW is 33,000 square meters. This is probably a generous packing efficiency, but it will suffice for now
  4. A typical medium to large city power plant is on the order of 400 MW, so this would be 16 * 33,000 = 528,000 square meters. This is roughly 0.2 square miles
  5. Losses to factor in (not exhaustive):

    • Radiative heat transfer
    • Absorption losses in the reflectors
    • Reflective losses in the concentration tower
    • Heat exchanger losses from the concentrator to the steam turbine

So in areas that are sunny and where land is barren and cheap, this appears to be a feasible solution. Again, this is assuming perfect transfer and that their “revolutionary calibration algorithms” can keep everything pointed in the right direction all the time.

From what I understand, this 100 mW/cm^2 is a maximum: cloudy days cut this to ~10 to 20 mW/cm^2, and given angles and such, perhaps even on a sunny day 100 mW / cm^2 is only available for six hours.

The other big questions that stick in my head are:

Maintenance

  • Sand + mirrors = scratching/wear
  • Steam pipe arrays
  • Cost of mirror finish vs. photovoltaic (no idea)

Backup and Storage

This is diurnal power, unless the concentrator is a “thermal battery”. Given the relatively high specific heat of water, though, it would take a significant mass of material X at temperature to continue to produce heat long after the sun has set. Another basic calculation for another break….