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Actuator Volume Tank (Air Reservoir) Sizing Calculator

Size an air reservoir (volume tank) that lets a pneumatic actuator stroke a set number of times after the instrument air supply fails, as used for fail safe double acting actuators.

Volume tankFail safeDouble acting actuatorBoyle law
L
strokes
barg
barg
×
Assumes isothermal expansion and that each stroke fills the actuator to the minimum pressure. Add the volume of tubing and check the tank against pressure vessel rules; fit a check valve so the tank cannot drain back into a failed supply.
Required tank volume45.13 L
With safety factor56.42 L (14.9 US gal)
Pressure ratio1.443
How this result was calculated
  1. Boyle: Vt(P₁ − P₂) = n × Va × P₂ (absolute)
  2. Vt = 2 × 10 × 4.513 ÷ (6.513 − 4.513) = 45.13 L
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Volume Tank Formula (Boyle)

Vtank = n × Vact × P₂ ÷ (P₁ − P₂)
(P₁, P₂ absolute)

n is the number of strokes needed, Vact the actuator volume filled per stroke, P₁ the tank pressure when the supply fails and P₂ the minimum pressure that still strokes the valve against its load, both absolute. The tank must also cover tubing volume and leakage over the time it must hold.

Worked example

Two strokes of a 10 L actuator, with the tank at 5.5 barg and 3.5 barg minimum, need V = 2 × 10 × 4.51 ÷ 2 = 45.1 L, or about 56 L with a 1.25 factor.

Key insight: the usable band between tank pressure and minimum stroking pressure drives the size. Keeping the tank at full header pressure behind a check valve gives the most strokes per litre.
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Frequently Asked Questions

Why do double acting actuators need volume tanks?

They have no spring, so after air failure stored air is the only way to move the valve to its safe position.

Why is a check valve needed?

It stops the stored air flowing back into the failed supply header.

How many strokes should be allowed?

Usually set by the safety requirement, often one or two full strokes, sometimes a stroke and a return.

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