Compressed Air Energy Storage Calculations: Difference between revisions

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=Calculations=
=Calculations=
*Work to compress, thus energy stored in isothermal conditions - is W = P1V1 * ln(P2/P1) [https://www.google.com/search?sxsrf=ALeKk026QG9BbsZl0rNsBS9KmerMgczY_w%3A1602863734253&source=hp&ei=dsKJX6q8DJDYsAXHkpG4Cw&q=what+is+the+basic+formula+for+calculating+energy+stored+in+caes+system&btnK=Google+Search&oq=how+to+configure+nvidia+geforce+gtx+1650+super+on+linux+mint&gs_lcp=CgZwc3ktYWIQAzIFCCEQoAEyBQghEKsCMgUIIRCrAjoOCAAQ6gIQtAIQmgEQ5QI6DgguELEDEMcBEKMCEJMCOggILhDHARCvAToLCC4QsQMQxwEQowI6CAgAELEDEIMBOggILhCxAxCDAToFCAAQsQM6AggAOgQIABAKOgYIABAWEB46CAghEBYQHRAeOgcIIRAKEKABUMsQWOmzAWD8tAFoBnAAeACAAeQGiAGhS5IBDTExLjQ3LjMuMi42LTGYAQCgAQGqAQdnd3Mtd2l6sAEG&sclient=psy-ab&ved=0ahUKEwiqz4DcvLnsAhUQLKwKHUdJBLcQ4dUDCAk&uact=5]
*Work to compress, thus energy stored in isothermal conditions - is W = P1V1 * ln(P2/P1) [https://www.google.com/search?sxsrf=ALeKk026QG9BbsZl0rNsBS9KmerMgczY_w%3A1602863734253&source=hp&ei=dsKJX6q8DJDYsAXHkpG4Cw&q=what+is+the+basic+formula+for+calculating+energy+stored+in+caes+system&btnK=Google+Search&oq=how+to+configure+nvidia+geforce+gtx+1650+super+on+linux+mint&gs_lcp=CgZwc3ktYWIQAzIFCCEQoAEyBQghEKsCMgUIIRCrAjoOCAAQ6gIQtAIQmgEQ5QI6DgguELEDEMcBEKMCEJMCOggILhDHARCvAToLCC4QsQMQxwEQowI6CAgAELEDEIMBOggILhCxAxCDAToFCAAQsQM6AggAOgQIABAKOgYIABAWEB46CAghEBYQHRAeOgcIIRAKEKABUMsQWOmzAWD8tAFoBnAAeACAAeQGiAGhS5IBDTExLjQ3LjMuMi42LTGYAQCgAQGqAQdnd3Mtd2l6sAEG&sclient=psy-ab&ved=0ahUKEwiqz4DcvLnsAhUQLKwKHUdJBLcQ4dUDCAk&uact=5]
**Units of Pascals, Meters, Joules.
**W=2E7 Pa * 0.05 cubic meters * ln(200)=5.3MJ=1.5 kWhr
**Ok.
*Adiabatic compression - [W = P1V1 - P2V2 / (1 - γ)] [https://www.google.com/search?sxsrf=ALeKk026QG9BbsZl0rNsBS9KmerMgczY_w%3A1602863734253&source=hp&ei=dsKJX6q8DJDYsAXHkpG4Cw&q=formula+for+calculating+energy+stored+in+compressed+air+energy+storage&btnK=Google+Search&oq=how+to+configure+nvidia+geforce+gtx+1650+super+on+linux+mint&gs_lcp=CgZwc3ktYWIQAzIFCCEQoAEyBQghEKsCMgUIIRCrAjoOCAAQ6gIQtAIQmgEQ5QI6DgguELEDEMcBEKMCEJMCOggILhDHARCvAToLCC4QsQMQxwEQowI6CAgAELEDEIMBOggILhCxAxCDAToFCAAQsQM6AggAOgQIABAKOgYIABAWEB46CAghEBYQHRAeOgcIIRAKEKABUMsQWOmzAWD8tAFoBnAAeACAAeQGiAGhS5IBDTExLjQ3LjMuMi42LTGYAQCgAQGqAQdnd3Mtd2l6sAEG&sclient=psy-ab&ved=0ahUKEwiqz4DcvLnsAhUQLKwKHUdJBLcQ4dUDCAk&uact=5]
*Adiabatic compression - [W = P1V1 - P2V2 / (1 - γ)] [https://www.google.com/search?sxsrf=ALeKk026QG9BbsZl0rNsBS9KmerMgczY_w%3A1602863734253&source=hp&ei=dsKJX6q8DJDYsAXHkpG4Cw&q=formula+for+calculating+energy+stored+in+compressed+air+energy+storage&btnK=Google+Search&oq=how+to+configure+nvidia+geforce+gtx+1650+super+on+linux+mint&gs_lcp=CgZwc3ktYWIQAzIFCCEQoAEyBQghEKsCMgUIIRCrAjoOCAAQ6gIQtAIQmgEQ5QI6DgguELEDEMcBEKMCEJMCOggILhDHARCvAToLCC4QsQMQxwEQowI6CAgAELEDEIMBOggILhCxAxCDAToFCAAQsQM6AggAOgQIABAKOgYIABAWEB46CAghEBYQHRAeOgcIIRAKEKABUMsQWOmzAWD8tAFoBnAAeACAAeQGiAGhS5IBDTExLjQ3LjMuMi42LTGYAQCgAQGqAQdnd3Mtd2l6sAEG&sclient=psy-ab&ved=0ahUKEwiqz4DcvLnsAhUQLKwKHUdJBLcQ4dUDCAk&uact=5]
*Let's take industrial gas cylinders with K, T, 3K, 6K standards - 300 cu ft for T [https://www.tollgas.com/gas-cylinders/]. 2200-2600 psi is the standard, but also 3000 PSI and 6000 PSI.
*Let's take industrial gas cylinders with K, T, 3K, 6K standards - 300 cu ft for T [https://www.tollgas.com/gas-cylinders/]. 2200-2600 psi is the standard, but also 3000 PSI and 6000 PSI.

Revision as of 19:50, 19 May 2025

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.

Calculations

  • Work to compress, thus energy stored in isothermal conditions - is W = P1V1 * ln(P2/P1) [1]
    • Units of Pascals, Meters, Joules.
    • W=2E7 Pa * 0.05 cubic meters * ln(200)=5.3MJ=1.5 kWhr
    • Ok.
  • Adiabatic compression - [W = P1V1 - P2V2 / (1 - γ)] [2]
  • Let's take industrial gas cylinders with K, T, 3K, 6K standards - 300 cu ft for T [3]. 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 [4]

Links