Calculators · Forced induction

Boost pressure and pressure ratio calculator

A boost gauge shows pressure above the surrounding atmosphere, but a turbocharger compressor works on absolute pressure, and what it has to deliver is a pressure ratio. At altitude the same boost reading means a higher ratio and a harder-working turbo. These calculators convert between gauge and absolute pressure at any altitude, include intake and intercooler losses, and estimate the boost needed for a target power increase.

Gauge boost to absolute pressure and pressure ratio

Converts a boost gauge reading into absolute manifold pressure and the compressor pressure ratio, accounting for lower air pressure at altitude. The pressure ratio is what you read against a compressor map.

Results
Atmospheric pressure—Standard atmospheric pressure at that altitude.
Absolute manifold pressure—Boost plus atmospheric pressure.
Pressure ratio—: 1Absolute outlet pressure divided by absolute inlet pressure.

Formula
P_atm = 1.01325 × (1 − 2.25577×10⁻⁵ × h)^5.25588
P_abs = P_atm + boost
PR = P_abs / P_atm

Compressor pressure ratio with system losses

The compressor must make more pressure than the manifold sees, because the air filter lowers pressure before the turbo and the intercooler and pipes lose pressure after it. This gives the true pressure ratio to check on a compressor map.

Results
Compressor inlet (absolute)—Atmospheric pressure minus intake losses.
Compressor outlet (absolute)—Pressure the compressor must produce.
Compressor pressure ratio—: 1Outlet divided by inlet — use this on the compressor map.

Formula
P_in = P_atm − inlet loss
P_out = P_atm + boost + outlet loss
PR = P_out / P_in

Boost needed for a power increase

Estimates the boost needed to raise power by a chosen factor, assuming power rises with air density in the cylinder. Warmer charge air is less dense, so the charge temperature after the intercooler matters as much as the boost itself.

Results
Pressure ratio needed—: 1Manifold pressure relative to atmospheric.
Boost needed (gauge, sea level)—Approximate gauge boost at sea level.

Formula
PR = multiplier × T_charge / T_ambient  (kelvin)
boost = P_atm × (PR − 1)

Worked example: 1 bar of boost at sea level and in the mountains

  1. At sea level: 1.013 + 1.0 = 2.013 bar absolute, a pressure ratio of 1.99.
  2. At 1,500 m the air is at 0.846 bar, so the same 1.0 bar of boost needs a ratio of 2.18.
  3. Adding 0.05 bar of filter loss and 0.1 bar of intercooler loss at sea level raises the real compressor ratio to 2.19.
  4. For 50% more power with the charge at 45 °C on a 25 °C day, you need a ratio of 1.60 — about 0.61 bar of boost.

Standard atmospheric pressure by altitude

AltitudePressurePressure ratio at 1 bar boost
0 m1.013 bar (14.7 psi)1.99
500 m0.955 bar (13.8 psi)2.05
1,000 m0.899 bar (13.0 psi)2.11
1,500 m0.846 bar (12.3 psi)2.18
2,000 m0.795 bar (11.5 psi)2.26

Related

About these results

Results are theoretical estimates from standard engineering formulas. Real-world figures depend on conditions these formulas do not capture. Always follow the manufacturer's specifications for maintenance, loading and safety decisions.