Sensitivity analysis on the accident rate of a plant equipped with a single protective channel by generalized perturbation methods

Melo, Prı́amo A.; Alvim, A.C.M.; Silva, Fernando C.

doi:10.1016/s0306-4549(97)00118-7

Cited by 6 publications

(4 citation statements)

References 5 publications

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“…Figure (4) shows the behavior of P 2 (t), the probability of the channel presenting an unrevealed failure. This probability is important for calculating the plant accident rate of the facility, according to Eq.…”

Section: Resultsmentioning

confidence: 99%

“…Comparison of the method applied here with others, for example that of the stages [2,12], is the subject of subsequent research. The application of the Generalized Perturbation Theory [4,8] would provide a better understanding of the system behavior and its peculiarities, allowing the development of sensitivity analyses of the parameters involved. This feature is quite important because data variability is to be expected in real cases and the plant accident rate behavior is an important piece of information for establishing maintenance policies.…”

Section: Discussionmentioning

confidence: 99%

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Evaluation of the Accident Rate of a Plant Equipped with an Aging Single Protective Channel by the Method of Supplementary Variables

Oliveira¹,

Teixeira²,

Melo³

2021

TCAM

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This work calculates the reliability of protective systems of industrial facilities, such as nuclear, to analyze the case of equipment subject to aging, important in the extension of the qualified life of the facilities. By means of the method of supplementary variables, a system of partial and ordinary integral-differential equations was developed for the probabilities of a protective system of an aging channel. The system of equations was solved by finite differences. The method was validated by comparison with channel results with exponential failure times. The method of supplementary variables exhibits reasonable results for values of reliability attributes typical of industrial facilities.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Evaluation of the Accident Rate of a Plant Equipped with an Aging Single Protective Channel by the Method of Supplementary Variables

Oliveira¹,

Teixeira²,

Melo³

2021

TCAM

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show abstract

“…In an earlier paper, we have discussed the application of the Generalized Perturbation Theory to the sensitivity analysis of the accident rate of plants equipped with protective channel systems [8].…”

Section: Componentmentioning

confidence: 99%

Simplification of State Transition Diagrams in Average Unavailability Analysis by Using Generalized Perturbation Theory

Vicente

Silva

Melo

et al. 2014

Science and Technology of Nuclear Installations

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Safety analysis studies in nuclear engineering, more specifically system reliability, usually handle a great number of components, so that computational difficulties may arise. To face the problem of many component systems a method for simplifying the state transition diagram in Markovian reliability analyses has been proposed, using the edges which can be cut, since these latter have a smaller influence on system failure probability. In order to extend the application of GPT (Generalized Perturbation Theory), this work uses GPT formalism to reduce the number of states in a transition diagram, not considering the state probability as the integral quantity of interest, but the mean system unavailability instead. Therefore, after simplifying the original diagram, the mean unavailability for the new system was calculated and the results were very close to those of the original diagram integral quantity (giving a relative error of about 2%), showing that the proposed simplification is quite reasonable and simple to apply.

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“…A aplicação de GPT em análise de confiabilidade, baseando-se em Cadeias de Markov,é discutida em [1]. A frequência de acidente de uma planta equipada com um canal de proteção em função da taxa de demanda do sistemaé analisada em [3]. Diversos trabalhos, como [4], comprovam a importância de se determinar a frequência de acidente de um sistema em função da taxa de demanda.…”

Section: Introductionunclassified

Análise de Sensibilidade da Taxa de Acidente de uma Planta Industrial por Cadeias de Markov e Teoria de Perturbação Generalizada (GPT)

Lima¹,

Teixeira²,

Melo³

et al. 2017

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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Sensitivity analysis on the accident rate of a plant equipped with a single protective channel by generalized perturbation methods

Cited by 6 publications

References 5 publications

Evaluation of the Accident Rate of a Plant Equipped with an Aging Single Protective Channel by the Method of Supplementary Variables

Evaluation of the Accident Rate of a Plant Equipped with an Aging Single Protective Channel by the Method of Supplementary Variables

Simplification of State Transition Diagrams in Average Unavailability Analysis by Using Generalized Perturbation Theory

Análise de Sensibilidade da Taxa de Acidente de uma Planta Industrial por Cadeias de Markov e Teoria de Perturbação Generalizada (GPT)

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