RELIABILITY ENGINEERING AND APPLICATIONS TO POWER SYSTEMS
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.
UNIT – III Reliability functions
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 – IV 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 – V Frequency & Duration Techniques
Frequency and duration concept – Evaluation of frequency of encountering state, mean cycletime, for one , two component repairable models – evaluation of cumulative probability and cumulative frequency of encountering of merged states.
UNIT – VI 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 – cumulative Probability, cumulative frequency of failure evaluation – LOLP, LOLE.
UNIT – VII Composite Systems Reliability Analysis
Decompositions method – Reliability Indices – Weather Effects on Transmission Lines.
UNIT – VIII Distribution System and Reliability Analysis
Basic Concepts – Evaluation of Basic and performance reliability indices of radial networks.
1. Reliability Evaluation of Engg. System – R. Billinton, R.N.Allan, Plenum Press,
2. Reliability Evaluation of Power systems – R. Billinton, R.N.Allan, Pitman Advance Publishing Program,