B.E. 4/4 (EEE) II-Semester (Main) Examination, April / May 2013
Time : 3 Hours
Subject : Power System Reliability (Elective-III)
Max. Marks: 75
Note: Answer all questions of Part - A and answer any five questions from Part-B. PART – A (25 Marks) 1. Write any three properties of Binomial distribution. 2. Define variance of a Random variable. 3. Write down the types of failures. 4. What is Reliability Logic diagram? 5. What is Stochastic Transitional probability matrix? 6. What is the principle of limiting state probability evaluation? 7. What is cumulative probability? 8. What is Sequential Addition method ? Discuss. 9. What are the Transient failures? 10. Write short notes on weather effects.
(3) (2) (2) (3) (3) (2) (2) (3) (2) (3)
PART – B (50 Marks) 11.(a) Write short notes on Poisson distribution. (4) (b) Consider the case in which the probability of success in a single trial is 1/4 and four trials are to be made. Evaluate the individual and cumulative probabilities of success and draw the two respective probability functions. (6) 12.(a) Derive the expression for MTTF when the components are connected in series in terms of failure rates. (4) (b) Consider a system comprising of 4 identical units with having the failure rate of 0.1 F/yr. Evaluate the probability of the system surviving 5 years, of atleast 2 units operate successfully. (6) 13.(a) Evaluate the limiting state probabilities associated with the following figure (1).
(5)
Fig. 1 (b) For the given figure (2) if state 2' is an absorbing state, evaluate the expected member of intervals the system can reside in other state.
(5)
Fig. 2 ..2
Code No. 2307 ..2.. 14. Find the cumulative probability and cumulative frequency of 3 unit generating system having capacities of 2 units of 25 MW each and one of 50 MW with each having failure rate of 0.01 f/day and repair rate of 0.49 r/day. (10) 15.(a) Discuss various performance indices that are used for reliability analysis. (b) Explain in detail about scheduled maintenance.
(5) (5)
16.(a) Explain in detail Bath Tub curve. (b) A generating station has 5 units each of 20 MW capacity. The probability of failure of any unit is 0.06. What is the probability of the station not been able to generate 70 MW?
(5)
17.(a) Write short notes on 2-level daily load representation. (b) Evaluate the limiting state probability of one component repairable system with STPM approach.
Vasavai CE BE EEE 4th Year May 2013 Power System Reliability.pdf
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