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PFD ↔ SIL Band Calculator (IEC 61508 / 61511)

PFD ↔ SIL Band Calculator (IEC 61508 / 61511)

Determine the achieved Safety Integrity Level (SIL 1-4) from a PFDavg value, per IEC 61508-1 Table 2 (Low Demand Mode). Also returns Risk Reduction Factor RRF.

Achieved SIL
RRF
PFD band
Formule
DEFINITION

  PFD  =  Probability of Failure on Demand

  Variables :
    PFD   dimensionless, between 0 and 1

  Rationale : measure of reliability of a Safety Instrumented Function
  (SIF). PFD = 0.01 means that on average 1 demand out of 100 finds
  the function failed. It is the central criterion of IEC 61508 / 61511
  for low demand mode (≤ 1 demand per year — typical process : ESD,
  MOC).


SIL BANDS — IEC 61508-1 TABLE 2

  SIL 4  :  10⁻⁵  ≤  PFD  <  10⁻⁴      1 / 10 000 to 100 000 demands
  SIL 3  :  10⁻⁴  ≤  PFD  <  10⁻³      1 / 1 000 to 10 000
  SIL 2  :  10⁻³  ≤  PFD  <  10⁻²      1 / 100 to 1 000
  SIL 1  :  10⁻²  ≤  PFD  <  10⁻¹      1 / 10 to 100

  Rationale : universal classification — a safety equipment supplier
  certifies its products against these bands. SIL 4 is extremely rare
  in practice (nuclear, aviation) ; pharma / petrochemical processes
  typically target SIL 2 or SIL 3.


LINK TO RRF

  RRF  =  1 / PFD

  Variables :
    RRF   Risk Reduction Factor

  Rationale : expresses the same concept on the risk side. RRF = 100
  means the safety function divides residual risk by 100.
  PFD = 0.01 ↔ RRF = 100 ↔ SIL 1. This is the quantity that comes out
  of the LOPA analysis and sets the target requirement.

Reference: IEC 61508-1, IEC 61511

IEC 61508 — PFD bands (Low Demand)SIL 1SIL 2SIL 3SIL 410⁻² – 10⁻¹10⁻³ – 10⁻²10⁻⁴ – 10⁻³10⁻⁵ – 10⁻⁴PFD (probability of failure on demand, ↓ = better)Less reliableMore reliable

The Probability of Failure on Demand (average) — PFDavg is the standard measure of dependability for safety-related systems operating in Low Demand Mode (less than once per year demand rate), as defined in IEC 61508-1.

This calculator returns the achieved SIL band and the equivalent Risk Reduction Factor (RRF = 1/PFD), which is often easier to interpret for non-FS specialists (e.g., RRF = 100 means the safety function reduces the risk by a factor of 100).

For a full IEC 61511 lifecycle implementation including architectural constraints, common cause failures, proof test coverage and lifecycle reports, see fs.industryhub.cloud.