Compressed Air Energy Storage Calculations: Difference between revisions
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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. | 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' - [https://www.des.nh.gov/sites/g/files/ehbemt341/files/documents/2020-01/energy-efficiency-compressed-air.pdf] | |||
**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. [https://fluidpowerjournal.com/air-tool-is-inefficient/] | |||
[[File:compressedair.jpg|400px]] | |||
Losses: | |||
[[File:compressedairlosses.jpg|400px]] | |||
=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 | |||
**{{check}}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. | ||
| Line 9: | Line 21: | ||
=Other= | =Other= | ||
*150 PSI, 660 gal receiver tank - $3500 [https://www.ebay.com/itm/365405379423?_trkparms=amclksrc%3DITM%26aid%3D1110006%26algo%3DHOMESPLICE.SIM%26ao%3D1%26asc%3D285767%2C285599%2C285112%2C286025%26meid%3D3896e6a00d184fa5b9f2a72b8e76475a%26pid%3D101875%26rk%3D4%26rkt%3D4%26sd%3D156965944543%26itm%3D365405379423%26pmt%3D1%26noa%3D0%26pg%3D2332490%26algv%3DSimVIDwebV3WithCPCExpansionEmbeddingSearchQuerySemanticBroadMatchSingularityRecallWithVDBNsOpt2BRecall&_trksid=p2332490.c101875.m1851&itmprp=cksum%3A3654053794233896e6a00d184fa5b9f2a72b8e76475a%7Cenc%3AAQAKAAABUAUSAsXaW7yW0Y7dcl6utic7sdosE%252BRu2LsLJP9nzTfRVXhoitH8i%252F7Ak9%252FyCPmjSz%252BA1ZuRe7RrLW2fLRNV4Bg%252F%252Br3aDhtvMZOgplG2WNdakOJdGBfCKV5CYzwE5evVQxhfnH4OHn8FEc7K9u19jjupFkZwMMPK7pVLTLhAgBrwGe1uWVSbZVNxlxjyOZPI3juNsG43fiEEBm3hZjn7VT9SojR02Sb51r5BloIFNdYiV0P9ywKteZlt712641JhBbnKERGYs3j9vhIiIKJMKgANfkMHRqj6Kk20KMouHCtrB8TMUMdRaOMCoakVu9ypoNyEBXYIHUPVAht%252FyshiLyEp4zNn2ownprN%252Bw31iTvXmLw8wREFc%252BbDw7j0K2RkEnqta6KNFBypSa6Jb7JT5UawuP2un9iSj4isDJs5E4NXMeJfgVeMCmBQ2%252BCeWtjYp%252Fw%253D%253D%7Campid%3APL_CLK%7Cclp%3A2332490&itmmeta=01JVMPAX3BPPCR4CS09PNMF1BB] | *150 PSI, 660 gal receiver tank - $3500 [https://www.ebay.com/itm/365405379423?_trkparms=amclksrc%3DITM%26aid%3D1110006%26algo%3DHOMESPLICE.SIM%26ao%3D1%26asc%3D285767%2C285599%2C285112%2C286025%26meid%3D3896e6a00d184fa5b9f2a72b8e76475a%26pid%3D101875%26rk%3D4%26rkt%3D4%26sd%3D156965944543%26itm%3D365405379423%26pmt%3D1%26noa%3D0%26pg%3D2332490%26algv%3DSimVIDwebV3WithCPCExpansionEmbeddingSearchQuerySemanticBroadMatchSingularityRecallWithVDBNsOpt2BRecall&_trksid=p2332490.c101875.m1851&itmprp=cksum%3A3654053794233896e6a00d184fa5b9f2a72b8e76475a%7Cenc%3AAQAKAAABUAUSAsXaW7yW0Y7dcl6utic7sdosE%252BRu2LsLJP9nzTfRVXhoitH8i%252F7Ak9%252FyCPmjSz%252BA1ZuRe7RrLW2fLRNV4Bg%252F%252Br3aDhtvMZOgplG2WNdakOJdGBfCKV5CYzwE5evVQxhfnH4OHn8FEc7K9u19jjupFkZwMMPK7pVLTLhAgBrwGe1uWVSbZVNxlxjyOZPI3juNsG43fiEEBm3hZjn7VT9SojR02Sb51r5BloIFNdYiV0P9ywKteZlt712641JhBbnKERGYs3j9vhIiIKJMKgANfkMHRqj6Kk20KMouHCtrB8TMUMdRaOMCoakVu9ypoNyEBXYIHUPVAht%252FyshiLyEp4zNn2ownprN%252Bw31iTvXmLw8wREFc%252BbDw7j0K2RkEnqta6KNFBypSa6Jb7JT5UawuP2un9iSj4isDJs5E4NXMeJfgVeMCmBQ2%252BCeWtjYp%252Fw%253D%253D%7Campid%3APL_CLK%7Cclp%3A2332490&itmmeta=01JVMPAX3BPPCR4CS09PNMF1BB] | ||
=Links= | |||
*{{check}}Full treatment at [[Compressed Air Calculations]] | |||
Latest revision as of 20:01, 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.
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]
Losses:
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
Ok.
- 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
- Full treatment at Compressed Air Calculations