Risk Importance Measures in the Design and Operation of Nuclear Power Plants by Vrbanic Ivan

Author:Vrbanic, Ivan
Language: eng
Format: epub
Publisher: American Society of Mechanical Engineers
Published: 2017-09-06T22:47:49+00:00

For example, let us consider a CCF group consisting of m = 4 components designated, for simplicity, as 1, 2, 3 and 4, and let us focus on the component 1. According to the above formula, this component can be involved in 23 = 8 combinations of failures, and they are: (1), (1,2), (1,3), (1,4), (1,2,3), (1,3,4), (1,2,4) and (1,2,3,4).

For simplicity, we will refer to each of these combinations simply as “combination k” and have in mind that k goes from 1 to 2m−1 = M.

The following set of m conditional mutually exclusive events can now be defined:

Uk Failure of considered component is involved in combination k, .

The failure of component A (which was previously presented by a single basic event A) is now partitioned into the set of mutually exclusive failure events Vk = UkA, k = 1,…,M:

(8.2)

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