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LOPA SIL Target Calculator

Use layer of protection analysis (LOPA) to find how much risk reduction a safety instrumented function must provide, and the SIL that corresponds to it.

LOPAIPL creditTolerable frequencySIL target
per year
probability
per year
IPLs must be independent, effective and auditable. Do not take credit for the BPCS twice or for layers that share sensors or final elements with the SIF.
Required SIF PFDavg0.02
Required risk reduction50
SIL targetSIL 1
Mitigated frequency without SIF0.0005 /yr
How this result was calculated
  1. Mitigated frequency = fIE × ΠPFDIPL × CM = 0.0005 per year
  2. Required PFD = tolerable ÷ mitigated = 1.00 × 10^−5 ÷ 0.0005 = 0.02
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LOPA Calculation

fmitigated = fIE × PFDIPL1 × PFDIPL2 × … × CM
PFDSIF,required = ftolerable ÷ fmitigated

Typical credits: BPCS control loop PFD 0.1, operator response to alarm 0.1, relief valve 0.01. CM combines conditional modifiers such as probability of ignition or presence of people.

Worked example

An event at 0.1 per year with two IPLs of 0.1 and a modifier of 0.5 gives 5 × 10⁻⁴ per year. Against a target of 10⁻⁵ the SIF needs PFD ≤ 0.02, a SIL 1 function with RRF 50.

Key insight: LOPA is only as good as its frequencies and IPL credits. Use company or industry tables consistently and document why each layer is independent.
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Frequently Asked Questions

What is LOPA?

A semi quantitative risk method that multiplies initiating event frequency by the failure probabilities of independent protection layers to estimate the remaining risk.

What is a typical tolerable frequency?

Company specific; values like 10⁻⁵ per year for a single fatality to an employee are common in industry.

Can the BPCS be both initiating event and IPL?

Usually not in the same scenario, and IEC 61511 limits total BPCS credit; check your company rules.

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