Abstract

The paper presents a Markov chain reliability model of a cogeneration power plant substation. Stochastic automata networks formalism and functional transition rates were used to specify the reliability behavior of a system. Iterative solution techniques were used to find steady-state solution of Markov models with different sets of randomly generated failure and repair rates. Modeling results were used to perform uncertainty and sensitivity analysis of the reliability model. DOI: http://dx.doi.org/10.5755/j01.eee.19.5.1214

Highlights

  • Markov chain is an effective statistical modeling technique which can describe complex behavior of various stochastic systems and has a well-developed mathematical apparatus

  • Markov chain models of industrial power systems can have thousands or even millions of states. This means that the use of efficient model specification techniques and fast computation algorithms is very important in reliability modeling

  • There are 14 different items connected with 12 line segments, it means that a Markov chain reliability model has 1026, i.e. more than 67 million states

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Summary

INTRODUCTION

Markov chain is an effective statistical modeling technique which can describe complex behavior of various stochastic systems and has a well-developed mathematical apparatus. Markov chain models of industrial power systems can have thousands or even millions of states This means that the use of efficient model specification techniques and fast computation algorithms is very important in reliability modeling. One of the advantages of using Markov chain model is that it allows computing steady state probabilities of all system states, which helps to estimate probabilities of rare events and failure scenarios. This would be a difficult task in performing simulation, and would require a lot of CPU time or implementation of special modeling techniques [9]. Necessary computations can be executed efficiently using a Markov chain model and iterative solution algorithms

MARKOV CHAIN MODELS AND SAN
SAN DESCRIPTOR OF POWER PLANT SUBSTATION RELIABILITY MODEL
MODELING RESULTS
CONCLUSIONS
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