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Transient rate matrix determination for the complex system
Author(s) -
Qamber Isa S.
Publication year - 2001
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.361
Subject(s) - transient (computer programming) , reliability (semiconductor) , kronecker delta , reliability engineering , electric power system , generator (circuit theory) , state (computer science) , stochastic matrix , matrix (chemical analysis) , computer science , transition rate matrix , power (physics) , power station , failure rate , kronecker product , algorithm , mathematics , engineering , statistics , electrical engineering , physics , chemistry , markov chain , quantum mechanics , operating system , chromatography , machine learning
This paper presents new techniques dealing with the reliability of complex systems. A power station reliability assessment model is used to illustrate the approach. Before calculating the state transient probabilities for the overall electrical power plant, the failure and repair rates of each generating unit are needed. These two coefficients can form a transition rate matrix, which represents each generator. To form the overall system a special technique is required. In the present study the direct‐differentiation and the Kronecker algebra methods are used to form the overall transition rate matrix, which represents the whole system. Forming the overall system is the first part (major part) of the current study. The second part is to calculate the state transient probabilities, following the Adams method. Two electric power plants from the State of Bahrain are analysed as examples. Copyright © 2001 John Wiley & Sons, Ltd.