Enter any 2 of the values (power, flow rate, pressure difference) into the calculator to determine the missing variable for ideal pneumatic (pressure–flow) power. Note: this is not the same as compressor motor/shaft power, which depends on compression process, pressure ratio (absolute), inlet conditions, and efficiency.

Compressed Air (Pressure–Flow) Power Calculator

Enter any 2 values to calculate the missing variable (ideal relation: P = Δp × Q)

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Compressed Air (Pressure–Flow) Power Formula

The following formula is used to calculate the ideal pneumatic (pressure–flow) power associated with a volumetric flow rate and a pressure difference. (For compressor sizing, a thermodynamic compression model and efficiencies are required.)

P_{kW} = 1.667 \cdot Q_{(m^3/min)} \cdot \Delta p_{(bar)}

Variables:

  • P is the ideal pneumatic power in kilowatts (kW)
  • Q is the volumetric flow rate in cubic meters per minute (m³/min)
  • Δp is the pressure difference in bar (often entered as gauge pressure in pneumatic applications)

To calculate ideal pneumatic power, multiply the flow rate by the pressure difference and then multiply the result by 1.667 (this constant converts bar·m³/min into kW).

What is Air Compression Power?

In this calculator, “air compression power” refers to the ideal pressure–flow power (also called pneumatic power): the theoretical rate of energy transfer associated with a pressure difference and a volumetric flow rate, based on P = Δp × Q. Actual compressor motor/shaft power is typically higher and depends on the compression process (e.g., isentropic/polytropic), inlet conditions, absolute pressure ratio, and overall efficiency.

How to Calculate Air Compression Power?

The following steps outline how to calculate the ideal pneumatic (pressure–flow) power.

  1. First, determine the flow rate (Q) in cubic meters per minute (m³/min).
  2. Next, determine the pressure difference (Δp) in bar.
  3. Finally, calculate the power using the formula PkW = 1.667 · Q · Δp.
  4. After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Flow Rate (Q) = 10 m³/min

Pressure difference (Δp) = 7 bar (ideal pneumatic power: P = 1.667 × 10 × 7 ≈ 116.7 kW)