Fault Trees

Chapter 3: Construction of Fault Trees

3.1 Basic Ideas and Definitions

We first give out the basic notions constituting the vocabulary of fault trees before moving on to the stages of construction and treatment of fault trees (FT).

3.1.1 Graphic Symbols

The fault tree is represented by means of three types of graphic symbols:

  • The logic gates or operators: fundamental operators, as given in Table 3.1 and special operators, as indicated in Table 3.2. This list is not exhaustive, as other operators are not included here.

  • The events, given in Table 3.3.

  • The transfer triangles, as given in Table 3.4.

Table 3.1: Fundamental operators

Graphic symbol

Name

Meaning

OR

The output is generated if at least one of the inputs exists

AND

The output is generated if all the inputs exist

Table 3.2: Special operators

Graphic symbol

Name

Meaning

Exclusive OR

The output is generated if one and only one input exists

Priority or sequential IF

The output is generated if all the inputs exist, with an order of appearance

IF

The output is generated if the input exists and if the state C is verified

K-out-of-n combination

The output is generated if k-out-of-n inputs exist (1 ? k ? n)

Matrix

The output is generated for certain combinations of inputs

Delay

The output is generated with a delay ?t over the input that should be present during ?t

No

The output is generated when the input is not produced

Table 3.3: Events

Graphic symbol

Meaning

Rectangle

Top or intermediate event

Circle

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