2026-04-15Views：
The efficiency calculation of air compressor involves multiple parameters and formulas, the following is a detailed description for you:
the total efficiency (& eta;_total) of the air compressor is calculated by the ratio of theoretical power to shaft power, and is divided into isothermal efficiency and adiabatic efficiency:
isothermal total efficiency:
adiabatic total efficiency:
isothermal theoretical power (P_isothermal): The theoretical required power when the compression process is assumed to be completely isothermal.
- $ Q $: displacement (m & sup3;/min) | |
- $ R $: gas constant (287 J/(kg · K) for air) | |
- $ T_{ text{ln}} $: logarithmic mean temperature (K),$ T_{ text{ln}} = frac{T_{ text{inlet}} + T_{ text{discharge }}}{ 2} $ | |
- $ P_{text{discharge}} $/$ P_{text{inlet}} $: Exhaust/inlet pressure (absolute, MPa) |
adiabatic theoretical power (P_adiabatic): The theoretical required power when the compression process is assumed to be fully adiabatic.
- $ kappa $: adiabatic index (1.4 for air) |
2. Shaft power (P_shaft)
motor efficiency and transmission efficiency are considered through motor input power calculation:
& eta;_mechanical
efficiency reflecting internal friction and leakage losses:
take an air compressor as an example:
shaft power:
isothermal theoretical power:
adiabatic theoretical power:
use specific power (kW/m & sup3;/min) quickly assess efficiency:
specific Power = QPshaft| Parameters | unit | measuring tools |
|---|---|---|
| power | kW | power meter |
| pressure | MPa | pressure gauge |
| temperature | K | thermometer |
| exhaust volume | m³/min | flowmeter |
through the above formulas and examples, you can choose to calculate in detail or simplify the estimation of air compressor efficiency according to actual needs.
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