Air compressor suppliers quote Free Air Delivery at a reference condition — ISO 1217, normal, or their own house standard. Site is hotter, higher and wetter, so the machine that met the duty on paper can fall short in the field. This sheet converts the process requirement into the actual inlet volume the compressor must swallow at site, derates the quoted FAD to what the package will really deliver, and checks the two against each other before the order is placed.
Developed by Allan Ronald Dones — Senior Mechanical Engineer, Rotating Equipment Specialist
Set the two reference bases, describe the site, then enter the demand and the vendor's
quoted FAD. Every case column is independent — use them for separate plants,
separate elevations, or a summer / winter envelope.
Input field Calculated output Governing resultEverything runs in your browser — no data leaves this page.
1Reference Bases
“Normal”, “standard” and “free air” are not one condition — they are a family of them, and the
difference between 0 °C and 20 °C alone is 7 % on mass. Declare the basis the process
requirement is written to and the basis the vendor quoted to; they are frequently not the same.
A · Demand basis — how the requirement is stated
B · Vendor basis — how the FAD is quoted
Why the vendor basis matters less than you would think. FAD is defined as a volume
flow measured at the compressor inlet. A machine rated 1 662 Nm³/h at 20 °C and one rated
1 662 Nm³/h at 0 °C draw the same 1 662 m³/h of inlet volume — they simply move different
masses of air doing it. The vendor basis therefore sets the mass the package is credited with,
not the swept volume it can pass. The sizing comparison below is made on actual inlet volume, which is
the quantity a positive-displacement or centrifugal air package actually fixes.
2Site Conversion & Selection Check
Yellow cells are inputs, green are calculated. Leave the inlet loss at zero for a first pass and add the vendor's filter and silencer figure once it is confirmed.
Sanity checks on the inputs and the outcome. They are a first filter, not a substitute for the vendor's certified selection.
4Reference Conditions in Common Use
The presets above are drawn from this list. Where a datasheet says only “FAD” with no basis, ask — the spread across this table is more than 10 % on mass.
Basis
Temperature
Pressure
Humidity
Dry-air density
Where it is used
Site elevation
Atmospheric pressure
Pressure ratio to sea level
Approximate capacity loss
Capacity loss shown is the dry-air mass reduction at constant swept volume, 20 °C dry, relative to sea level — altitude alone, before any temperature or humidity effect.
5Method & Assumptions
The conversion is a dry-air mass balance. Water vapour is a passenger — it occupies inlet volume but is not the product. Both states are reduced to the partial pressure of dry air, p_d = p_atm − Δp_inlet − RH · p_sat(T), and dry-air mass is held constant between them. That gives the single conversion factor K = (p_d,ref / p_d,site) · (T_site / T_ref), with temperatures absolute.
Demand runs one way, supply runs the other. A process requirement stated at reference conditions is a mass duty, so the inlet volume the compressor must pass at site is V̇_site = Q_ref · K — always larger than the reference figure at a hot, high site. A quoted FAD is a volume the machine can pass, so the mass it actually delivers at site, expressed back in the demand basis, is FAD / K — always smaller. The two errors compound, which is why an apparently comfortable margin on the datasheet can disappear at site.
Atmospheric pressure from elevation uses the ISA barometric relation p = 101.325 · (1 − 2.25577×10⁻⁵ · h)^5.25588 kPa a, with h in metres. It assumes the ISA temperature lapse and a sea-level base of 101.325 kPa; for a site with a measured barometric record, switch the control to Entered directly and use the site minimum, not the annual mean.
Saturation vapour pressure uses the Buck equation over water, p_sat = 0.61121 · exp((18.678 − T/234.5) · T/(257.14 + T)) kPa with T in °C — better than 0.1 % against steam-table values from −20 °C to 50 °C. Legacy sheets often carry a rounded constant instead (9.8 kPa at 45 °C against a true 9.59 kPa); switch to Entered directly if you need to reproduce one.
Inlet loss is the pressure drop across the intake filter, silencer and any ducting, referred to the compressor suction flange. It is a direct debit against inlet density and is frequently omitted at the enquiry stage. Ask the vendor for it — on a heavily filtered outdoor package it is not negligible.
Ideal-gas treatment. At atmospheric intake pressure the compressibility of moist air is within roughly 0.1 % of unity, so no Z correction is applied. Densities use R_dry = 287.058 and R_vapour = 461.495 J/kg·K.
What this sheet does not do. It converts capacity only. It does not correct shaft power, discharge temperature or specific energy, and it takes no account of the vendor's own altitude and temperature limits — many packages carry a maximum ambient above which the drive is derated or the machine is simply not offered. Those limits are the vendor's to state, and they govern.
Margin. The design margin entered against the requirement is applied to the demand before conversion. A margin on capacity is not a margin on the machine: check that the resulting selection still sits inside its turndown and does not spend its life cycling.
Rule of thumb worth carrying. Every 1 000 m of elevation costs roughly 11 % of the air a
compressor can move, and every 10 °C of ambient above the reference costs roughly a further 3 %. A
package quoted at ISO conditions and installed at 500 m in a 45 °C climate typically loses close to a
fifth of its rated mass output. That is the gap this sheet exists to make visible before the purchase order,
not after commissioning.