I Compressed gas energy storage formula

AI Thread Summary
To calculate the energy stored in compressed argon gas, consider the conservation of energy principle, where the energy input equals the energy stored minus any losses. The efficiency of compressors and turbines is crucial, as they typically operate below 100%, with suggested net efficiencies around 60% for compression and expansion, potentially dropping to 20% if the gas is stored for extended periods. A specific formula for non-ideal gases is not readily available, making reasonable estimates necessary. The energy required to compress argon to 1000 psi in a 2L vessel can be derived from these principles, factoring in thermal energy from compression. Understanding these dynamics is essential for designing effective compressed air energy storage systems.
Petersenwill36
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Compressed gas energy storage formula
Hi,
I’m looking for formula to find the energy stored in a compressed gas for non ideal gases, for example, argon. The formula should also include the thermal energy caused by compression.

Thank you in advance.
 
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Can't you use conservation of energy? If we compress a gas, energy out equals energy in minus energy leaked to the environment. I'm sure you know that, so what is the premise of your question?
 
Compressed air energy storage is the topic.
 
Petersenwill36 said:
Compressed air energy storage is the topic.
OK. In that case you can use this formula $$Energy_{stored} = Energy_{in} - Energy_{lost}$$

But that's probably not much help. Compressors are not 100% efficient when compressing the gas. Turbines are not 100% efficient when re-expanding the gas. But there are no simple formulas for those inefficiencies.

So if there are no simple formulas, the next best thing is to just make a reasonable guess. 60% net efficiency for compression/expansion and conversion to/from electricity. However, if you let the gas sit overnight so that heat leaks to the environment, efficiency might shrink to 20%. Therefore, for how long it remains stored becomes an important parameter.

Are you assigned the task of designing compressed air energy storage?
 
Thank you for your help. I am looking for the amount of energy in joules stored in a pressurized gas. For example, the amount of energy required to compress argon to 1000 psi in a 2L vessel.
 

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