KEVOS® MAKEOS · Pneumatics
Compressed-Air System Sizing
How big a compressor, receiver and main pipe does this plant need, and what do the leaks cost?
Sizing a compressed-air system from the average demand: compressor free-air delivery with leakage and growth allowances, theoretical compression power with an overall efficiency (the same method as the compressor power tool), receiver volume to cover a peak deficit within the pressure band, the main pipe bore that keeps the pressure drop within a limit (Darcy–Weisbach, as the air line tool), and the annual energy cost of leakage.
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How this tool works
Inputs, units and where to find them
| Input | Unit | Typical source |
|---|---|---|
| Demand | ||
| Average demand of the users | m³/min FAD | Average free-air demand of all users together (after diversity). |
| Leakage allowance | % | Air lost to leaks, as a share of demand (often 20–30% in unsurveyed plants). |
| Future growth allowance | % | Allowance for future users. |
| Peak demand above compressor output | m³/min | Short-term demand above what the compressor supplies. |
| Duration of the peak | min | How long that peak lasts. |
| Pressure | ||
| Working pressure | bar g | Pressure needed at the users. |
| Receiver upper pressure | bar g | Pressure at which the compressor unloads. |
| Receiver lower pressure | bar g | Lowest acceptable receiver pressure. |
| Main pipe | ||
| Main pipe length (incl. fitting allowance) | m | Length of the main pipe run, plus an allowance for fittings. |
| Allowable pressure drop | bar | Largest pressure drop you accept along the main. |
| Air temperature | °C | Temperature of the air in the main. |
| Pipe roughness | mm | Pipe roughness. |
| Energy | ||
| Compressor overall efficiency | % | Overall efficiency relating theoretical adiabatic power to shaft power. |
| Running hours per year | h | Hours the system is pressurised each year. |
| Electricity price | $/kWh | Cost of electricity. |
Method and formulas
- Compressor FAD = Q × (1 + leak) × (1 + growth).
- Power = single-stage adiabatic k = 1.4 from 1.013 bar to (p₁ + 1.013) bar ÷ efficiency.
- Receiver V = deficit × time × 1.013 ÷ (p₁ − p₂).
- Main bore found so the Darcy–Weisbach drop with Colebrook friction at working pressure equals the limit.
- Leak cost = leak flow × specific power × hours × price.
- Example: 5 m³/min of demand needs a 6.9 m³/min compressor of about 47.156 kW, a 1,351 L receiver and a 50.922 mm main.
Limitations
- Single-stage power estimate; real compressors publish their own specific power.
- Pipe bore is the minimum internal bore; choose the next larger standard pipe.
- Example values are illustrations. Replace them with values for your actual task.
Typical uses
- Plan a compressor, receiver and ring main for a workshop
- Show the energy cost of leaks to justify a leak survey
- Check a plant after adding air users
Who it is for
- Plant engineers
- Compressed-air engineers
- Maintenance managers
What you get
- Compressor capacity and power
- Receiver volume
- Main pipe bore and leak cost
Interpreting the result
- Fixing leaks is usually the cheapest capacity increase available.
References
- Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 3030–3037, 3421–3425. Topic reference; no source tables or recommended settings are reproduced.
WORKOS tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.