Dependability theory and methods part 4 fault tree analysis
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Dependability Theory and Methods Part 4: Fault-tree analysis. Andrea Bobbio Dipartimento di Informatica Universit à del Piemonte Orientale, “ A. Avogadro ” 15100 Alessandria (Italy) [email protected] - 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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Dependability theory and methods part 4 fault tree analysis

Dependability Theory and MethodsPart 4: Fault-tree analysis

  • Andrea Bobbio

  • Dipartimento di Informatica

  • Università del Piemonte Orientale, “A. Avogadro”

  • 15100 Alessandria (Italy)

  • [email protected] - http://www.mfn.unipmn.it/~bobbio

Bertinoro, March 10-14, 2003

Bertinoro, March 10-14, 2003


Dependability theory and methods part 4 fault tree analysis

Elements of logic algebra


Dependability theory and methods part 4 fault tree analysis

Elements of logic algebra


Dependability theory and methods part 4 fault tree analysis

Elements of logic algebra


Dependability theory and methods part 4 fault tree analysis

Logic algebra and Venn diagrams


Dependability theory and methods part 4 fault tree analysis

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).


C ase study a plc architecture

Case study: a PLC architecture

Bertinoro, March 10-14, 2003


C ase study a plc architecture1

Case study: a PLC architecture

The considered failure rates for the elementaryblocks are reported in the Table.

Bertinoro, March 10-14, 2003


Dependability theory and methods part 4 fault tree analysis

PLCarchitecture: FTA

Bertinoro, March 10-14, 2003


Dependability theory and methods part 4 fault tree analysis

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


Dependability theory and methods part 4 fault tree analysis

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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