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Dependability Theory and Methods Part 4: Fault-tree analysis

Dependability Theory and Methods Part 4: Fault-tree analysis. Andrea Bobbio Dipartimento di Informatica Universit à del Piemonte Orientale, “ A. Avogadro ” 15100 Alessandria (Italy) bobbio@unipmn.it - http://www.mfn.unipmn.it/~bobbio. Bertinoro, March 10-14, 2003.

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Dependability Theory and Methods Part 4: Fault-tree analysis

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  1. Dependability Theory and MethodsPart 4: Fault-tree analysis • Andrea Bobbio • Dipartimento di Informatica • Università del Piemonte Orientale, “A. Avogadro” • 15100 Alessandria (Italy) • bobbio@unipmn.it - http://www.mfn.unipmn.it/~bobbio Bertinoro, March 10-14, 2003 Bertinoro, March 10-14, 2003

  2. Elements of logic algebra

  3. Elements of logic algebra

  4. Elements of logic algebra

  5. Logic algebra and Venn diagrams

  6. Fundamental assumptions for FTA • Events are binary events (working/non-working); • Events are statistically independent; • Relationships between events and causes are represented by logical AND and OR (Boolean) gates; • The root of the FT is the catastrophic undesired event called the Top Event (TE).

  7. Case study: a PLC architecture Bertinoro, March 10-14, 2003

  8. Case study: a PLC architecture The considered failure rates for the elementaryblocks are reported in the Table. Bertinoro, March 10-14, 2003

  9. PLCarchitecture: FTA Bertinoro, March 10-14, 2003

  10. Safety and dependability measures • Safety assessment of the control systemaccording to IEC 61508 (Functional safety ofelectrical/electronic/ programmable electronic safety-relatedsystems) • SIL requirements (IEC 61508); • Unreliability versus time; • Safe Mission Time (SMT); • Mean Time To Failure; • Critical failure path (mcs). Bertinoro, March 10-14, 2003

  11. FT Critical cuts The FT has 59 MCS, one oforder 1 (the voter) and theremaining 58 of order 2. Bertinoro, March 10-14, 2003

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