05-04-2017, 02:48 AM
SYLLABUS:-
UNIT- I
Basics of Probability theory & Distribution: Basic probability theory – rules for combining probabilities of events – Bernoulli’s trials – probabilities density and distribution functions – binomial distribution – expected value and standard deviation of binomial distribution.
UNIT- II
Network Modelling and Reliability Analysis: Analysis of Series, Parallel, Series-Parallel networks – complex networks – decomposition method. Reliability functions f(t), F(t), R(t), h(t) and their relationships – exponential distribution – Expected value and standard deviation of exponential distribution – Bath tub curve – reliability analysis of series parallel networks using exponential distribution – reliability measures MTTF, MTTR, MTBF.
UNIT- III
Markov Modelling: Markov chains – concept of stochastic transitional probability Matrix, Evaluation of limiting state Probabilities. – Markov processes one component repairable system – time dependent probability evaluation using Laplace transform approach – evaluation of limiting state probabilities using STPM – two component repairable models.
UNIT-IV
Generation System Reliability Analysis: Reliability model of a generation system– recursive relation for unit addition and removal – load modeling Merging of generation load model – evaluation of transition rates for merged state model – cumulativeProbability, cumulative frequency of failure evaluation – LOLP, LOLE
UNIT- I
Basics of Probability theory & Distribution: Basic probability theory – rules for combining probabilities of events – Bernoulli’s trials – probabilities density and distribution functions – binomial distribution – expected value and standard deviation of binomial distribution.
UNIT- II
Network Modelling and Reliability Analysis: Analysis of Series, Parallel, Series-Parallel networks – complex networks – decomposition method. Reliability functions f(t), F(t), R(t), h(t) and their relationships – exponential distribution – Expected value and standard deviation of exponential distribution – Bath tub curve – reliability analysis of series parallel networks using exponential distribution – reliability measures MTTF, MTTR, MTBF.
UNIT- III
Markov Modelling: Markov chains – concept of stochastic transitional probability Matrix, Evaluation of limiting state Probabilities. – Markov processes one component repairable system – time dependent probability evaluation using Laplace transform approach – evaluation of limiting state probabilities using STPM – two component repairable models.
UNIT-IV
Generation System Reliability Analysis: Reliability model of a generation system– recursive relation for unit addition and removal – load modeling Merging of generation load model – evaluation of transition rates for merged state model – cumulativeProbability, cumulative frequency of failure evaluation – LOLP, LOLE
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