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> creating power in the compression phase

Other than the potential energy of either the heat or the compressed gas, what "power" is created in the compression phase of a normal four stroke ICE?

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Pumping losses are greater in a Otto cycle engine due to the increased resistance in compressing the whole stroke. In an Atkinson-cycle you get a longer power stoke than compression stroke and thus are more efficient. There is always another cylinder that get does i take during the short time when valve is open during compression in another cylinder. Thus that cylinder get some free assistance during intake.

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