Air Compressor
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How is the compressor’s air displacement calculated?

What is the compressed air capacity of a compressor?

Displacement, often referred to as the discharge volume, is the volume of gas delivered by a compressor per unit time, converted to standard suction conditions—typically standard atmospheric pressure and a specified temperature. It serves as a critical parameter for evaluating compressor performance, selecting equipment, and ensuring proper system matching. Accurate determination of displacement helps prevent energy waste caused by oversizing or insufficient system pressure resulting from undersizing.

Core parameters affecting compressed air volume

Before calculating the compressed air volume, several key parameters must be specified, as they directly determine the final result.

  • Cylinder displacement: The volume swept by the piston as it moves from bottom dead center to top dead center within the cylinder; this is the fundamental physical dimension that determines the theoretical displacement.
  • Rotational speed: The number of revolutions per minute of the compressor’s main shaft. The higher the rotational speed, the greater the theoretical displacement per unit time.
  • Volumetric efficiencyThe ratio of the actual displacement to the theoretical displacement. Due to factors such as clearance volume, gas leakage, suction resistance, and gas heating, the actual displacement is always less than the theoretical value.
  • Inhalation state: The pressure and temperature during intake. The ideal gas law indicates that the higher the intake temperature or the lower the intake pressure, the lower the density of the intake gas, and the actual mass flow rate will decrease accordingly.

Basic Calculation Logic for Compressed Air Volume

The calculation of compressed air volume is typically divided into two steps: theoretical calculation and actual measurement.

Step 1: Calculate the theoretical displacement

Theoretical displacement refers to the discharge volume under ideal conditions, disregarding gas leakage, clearance volume, and pressure losses. For reciprocating compressors, the theoretical displacement is equal to the cylinder’s swept volume multiplied by the rotational speed and the number of cylinders.

Step 2: Introduce volumetric efficiency to calculate the actual displacement.

The actual displacement is equal to the theoretical displacement multiplied by the volumetric efficiency. The volumetric efficiency is either an empirical value or a coefficient determined through thermodynamic calculations, and it depends on the compressor type, design quality, operating conditions, and degree of wear.

Step 3: Convert to standard conditions

To facilitate comparison and selection, it is generally necessary to convert the actual discharged gas volume to the volume at standard suction conditions. This step requires applying the ideal gas law and performing the conversion based on the actual suction pressure and temperature.

Precautions for Gas Flow Calculation in Practical Applications

In practical engineering applications, the calculation of compressed air volume must also account for the following real-world factors:

  • Pipeline Leakage and LossesWhen calculating the total gas demand of a system, a certain margin must be added to the terminal equipment’s demand to account for pipeline leakage and valve losses.
  • Operating condition fluctuationsGas consumption during the production process is often variable. When performing calculations, the peak gas demand should be used as the baseline, and a comprehensive assessment should be conducted in conjunction with the buffer capacity of the gas storage tank.
  • Altitude and Ambient TemperatureIf the compressor is installed in a high‑altitude or high‑temperature environment, the air density decreases, resulting in a reduced mass flow rate at the inlet. In such cases, the standard volumetric flow rate must be corrected based on the local atmospheric pressure and temperature.
  • Equipment agingAs operating time increases, internal clearances within the compressor widen, leading to a decline in volumetric efficiency. In capacity assessments conducted during the later stages of the equipment’s service life, the assumed value for volumetric efficiency should be appropriately reduced.

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