Compressed Air Energy Storage Calculations

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Compressed air energy storage or gravity water storage costs 10x less than any other based on 100 year vs 10 year lifetime of the system.

About

  • 'Only 10% to 20% of the energy required to generate compressed air ever reaches the point of use' - [1]
    • This could be true if compressor efficiency is 60% and tool efficiency is 20-30% for standard air tools.
  • 7-8 hp input to compressor yields 1 hp at the air tool shaft. [2]

Compressedair.jpg

Losses:

Compressedairlosses.jpg

Calculations

  • Work to compress, thus energy stored in isothermal conditions - is W = P1V1 * ln(P2/P1) [3]
    • Units of Pascals, Meters, Joules.
    • W=2E7 Pa * 0.05 cubic meters * ln(200)=5.3MJ=1.5 kWhr
    • Check.pngOk.
  • Adiabatic compression - [W = P1V1 - P2V2 / (1 - γ)] [4]
  • Let's take industrial gas cylinders with K, T, 3K, 6K standards - 300 cu ft for T [5]. 2200-2600 psi is the standard, but also 3000 PSI and 6000 PSI.
  • T type - 300 cf

Other

  • 150 PSI, 660 gal receiver tank - $3500 [6]

Links