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Partial Stroke Test PFDavg Calculator

Partial stroke testing (PST) of shutdown valves finds some dangerous failures between full proof tests. This calculator shows the PFDavg with and without PST from the test coverage and both test intervals.

Partial stroke testProof test coverageShutdown valvePFDavg
%
PFDavg with partial stroke test0.0145 (SIL 1)
PFDavg with full tests only0.035 (SIL 1)
Improvement2.42 ×
Equivalent full test interval1.65 years
How this result was calculated
  1. Without PST: PFDavg = λDU × Tfull ÷ 2 = 0.035
  2. With PST: PFDavg = C × λDU × TPST ÷ 2 + (1 − C) × λDU × Tfull ÷ 2 = 0.0145
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Partial Stroke Test Formula

PFDavg = C × λDU × TPST ÷ 2 + (1 − C) × λDU × Tfull ÷ 2

C is the partial stroke test coverage (the fraction of dangerous undetected failures it reveals), TPST the partial stroke interval and Tfull the full proof test interval. This applies to a 1oo1 valve and ignores repair time and test errors. The coverage should come from an FMEDA for the actual valve and actuator.

Worked example

A valve with λDU = 2 × 10⁻⁶ /h, full tested every 4 years, has PFDavg ≈ 0.035. Monthly partial stroke tests with 60 % coverage cut it to about 0.015, a 2.4 times improvement.

Key insight: the failures a partial stroke cannot find, such as a leaking seat or a valve that will not close the last few percent, still sit at the full test interval. Coverage, not frequency, limits the benefit.
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Frequently Asked Questions

What is a partial stroke test?

Moving a shutdown valve a small part of its travel, often 10 to 20 %, to prove it is not stuck, without stopping the process.

What coverage can a partial stroke test claim?

It depends on the valve and actuator FMEDA, commonly in the range of about 50 to 70 % of dangerous undetected failures.

Does PST replace the full proof test?

No. Full proof tests are still needed to find the failures PST cannot detect, such as seat leakage.

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