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Safety and SIL · Free Calculator

SIL Proof Test Interval Calculator

Work out how often a safety instrumented function must be proof tested to meet its SIL target, from the dangerous undetected failure rate and the voting architecture.

1oo1, 1oo2, 2oo3λDUTarget PFDavgTest interval
%
Simplified equations: no common cause (β), diagnostics or repair time. Use the full IEC 61508-6 equations or the PFDavg calculator for design.
Maximum proof test interval5,000 h
In months6.849 months
In years0.5708 years
PFDavg used0.005
How this result was calculated
  1. 1oo1: PFDavg = λDU T ÷ 2 → T = 2 PFD ÷ λDU
  2. 1oo2: PFDavg = (λDU T)² ÷ 3 → T = √(3 PFD) ÷ λDU
  3. 2oo3: PFDavg = (λDU T)² → T = √PFD ÷ λDU
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Simplified PFDavg Equations

1oo1: PFDavg = λDU × T ÷ 2
1oo2: PFDavg = (λDU × T)² ÷ 3
2oo3: PFDavg = (λDU × T)²

T is the proof test interval in hours. The design margin keeps the calculated PFDavg below the SIL boundary to allow for uncertainty in failure data.

Worked example

A 1oo1 SIF with λDU = 2 × 10⁻⁶ /h for SIL 2 with 50 % margin (PFDavg 0.005) needs T ≤ 2 × 0.005 ÷ 2 × 10⁻⁶ = 5000 h, about 7 months.

Key insight: redundancy (1oo2) allows far longer test intervals than a single channel, but only if common cause failures are controlled; the β factor often dominates in practice.
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Frequently Asked Questions

How often should a SIF be proof tested?

At the interval assumed in the SIL verification, calculated from λDU and the target PFDavg.

What is λDU?

The dangerous undetected failure rate: failures that stop the function and are not found by diagnostics.

Why add a design margin?

Failure data is uncertain; designing to about half the SIL limit gives headroom.

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