CODE NO: R05410208
SET - 1
R05
IV B.TECH - I SEMESTER EXAMINATIONS - MAY, 2011 RELIABILITY ENGINEERING AND APPLICATIONS TO POWER SYSTEMS (ELECTRICAL AND ELECTRONICS ENGINEERING)
Time: 3hours
Max. Marks: 80 Answer any FIVE questions All Questions Carry Equal Marks ---
Explain the following rules for combining probabilities of events, with the help of an example: i) Mutually exclusive events ii) Simultaneously occurrence of events. b) Define probability density and distribution factors c) Derive expected value and standard deviation for binomial distribution. [4+4+8]
uW
b)
A system consists of three components in parallel. System success requires that at least one of these components must function. What is the probability of system success if the component reliability is 0.9? Use minimal cutset method. Evaluate reliability of the system shown in Figure:1 using conditional probability, if each component has reliability of 0.95.
or ld
2. a)
.in
1. a)
nt
Figure: 1
What do you mean by redundancy of a system and write its effect on the reliability of a system? [6+6+4]
3. a) b) c)
Define MTTF,MTTR and MTBF. Deduce the relationship between f (t), F(t) and R(t). What is Bath-tub curve? Explain the regions of Bath-tub curve with the help of one example. [4+4+8]
Aj
c)
4. a) b)
Distinguish between Markov chain and Markov process. The following Stochastic Transitional Probability Matrix P shows the transition states in per hour of a continuous Markov process. P=
.in
i) Construct space diagram and discuss particular features of it. ii) Evaluate MTTF given that system starts in state 1. iii) Derive the differential equations of the system.
[16]
5. a) b) c)
Draw the state space diagram for two component repairable systems. Obtain the frequency of encountering its individual states. Obtain mean duration of its states.
6. a) b)
Define availability and unavailability of generating unit. A Power System contains four generating units, where units 1, 2 and 3 have a capacity of 20MW and unit four has a capacity of 40 MW. The failure rate and the repair rate of each unit is 0 .4 per year and 9.6 per year respectively. Develop the combined capacity outage probability table. [4+12]
7. a)
Write the data requirements for composite system reliability evaluation and explain in detail. Explain the effects of weather on reliability of transmission lines. [8+8]
b) c)
or ld
8. a)
Write the significance of primary and secondary reliability indices of electrical distribution system. Justify that in reliability point of view the components of a radial distribution feeder are connected in series. Obtain the average failure rate and average outage time of a series system having ‘n’ number of identical components. [6+4+6]
uW
b)
[4+6+6]
Aj
nt
*****
CODE NO: R05410208
SET - 2
R05
IV B.TECH - I SEMESTER EXAMINATIONS - MAY, 2011 RELIABILITY ENGINEERING AND APPLICATIONS TO POWER SYSTEMS (ELECTRICAL AND ELECTRONICS ENGINEERING) Time: 3hours Max. Marks: 80 Answer any FIVE questions All Questions Carry Equal Marks --Define MTTF,MTTR and MTBF. Deduce the relationship between f (t), F(t) and R(t). What is Bath-tub curve? Explain the regions of Bath-tub curve with the help of one example. [4+4+8]
2. a) b)
Distinguish between Markov chain and Markov process. The following Stochastic Transitional Probability Matrix P shows the transition states in per hour of a continuous Markov process. P=
or ld
.in
1. a) b) c)
i) Construct space diagram and discuss particular features of it. ii) Evaluate MTTF given that system starts in state 1. iii) Derive the differential equations of the system.
[16]
Draw the state space diagram for two component repairable systems. Obtain the frequency of encountering its individual states. Obtain mean duration of its states.
4. a) b)
Define availability and unavailability of generating unit. A Power System contains four generating units, where units 1, 2 and 3 have a capacity of 20MW and unit four has a capacity of 40 MW. The failure rate and the repair rate of each unit is 0 .4 per year and 9.6 per year respectively. Develop the combined capacity outage probability table. [4+12]
5. a)
Write the data requirements for composite system reliability evaluation and explain in detail. Explain the effects of weather on reliability of transmission lines. [8+8]
nt
uW
3. a) b) c)
b)
Write the significance of primary and secondary reliability indices of electrical distribution system. Justify that in reliability point of view the components of a radial distribution feeder are connected in series. Obtain the average failure rate and average outage time of a series system having ‘n’ number of identical components. [6+4+6]
Aj
6. a)
b)
c)
[4+6+6]
7. a)
Explain the following rules for combining probabilities of events, with the help of an example: i) Mutually exclusive events ii) Simultaneously occurrence of events. b) Define probability density and distribution factors c) Derive expected value and standard deviation for binomial distribution. [4+4+8]
uW
or ld
b)
A system consists of three components in parallel. System success requires that at least one of these components must function. What is the probability of system success if the component reliability is 0.9? Use minimal cutset method. Evaluate reliability of the system shown in Figure:1 using conditional probability, if each component has reliability of 0.95.
.in
8. a)
Figure: 1
c)
What do you mean by redundancy of a system and write its effect on the reliability of a system? [6+6+4]
Aj
nt
*****
CODE NO: R05410208
SET - 3
R05
IV B.TECH - I SEMESTER EXAMINATIONS - MAY, 2011 RELIABILITY ENGINEERING AND APPLICATIONS TO POWER SYSTEMS (ELECTRICAL AND ELECTRONICS ENGINEERING) Time: 3hours Max. Marks: 80 Answer any FIVE questions All Questions Carry Equal Marks --Draw the state space diagram for two component repairable systems. Obtain the frequency of encountering its individual states. Obtain mean duration of its states.
2. a) b)
Define availability and unavailability of generating unit. A Power System contains four generating units, where units 1, 2 and 3 have a capacity of 20MW and unit four has a capacity of 40 MW. The failure rate and the repair rate of each unit is 0 .4 per year and 9.6 per year respectively. Develop the combined capacity outage probability table. [4+12]
3. a)
Write the data requirements for composite system reliability evaluation and explain in detail. Explain the effects of weather on reliability of transmission lines. [8+8]
b) c)
Write the significance of primary and secondary reliability indices of electrical distribution system. Justify that in reliability point of view the components of a radial distribution feeder are connected in series. Obtain the average failure rate and average outage time of a series system having ‘n’ number of identical components. [6+4+6]
Explain the following rules for combining probabilities of events, with the help of an example: i) Mutually exclusive events ii) Simultaneously occurrence of events. b) Define probability density and distribution factors c) Derive expected value and standard deviation for binomial distribution. [4+4+8]
Aj
nt
5. a)
[4+6+6]
or ld
4. a)
uW
b)
.in
1. a) b) c)
6. a)
or ld
.in
b)
A system consists of three components in parallel. System success requires that at least one of these components must function. What is the probability of system success if the component reliability is 0.9? Use minimal cutset method. Evaluate reliability of the system shown in Figure:1 using conditional probability, if each component has reliability of 0.95.
Figure: 1
What do you mean by redundancy of a system and write its effect on the reliability of a system? [6+6+4]
7. a) b) c)
Define MTTF,MTTR and MTBF. Deduce the relationship between f (t), F(t) and R(t). What is Bath-tub curve? Explain the regions of Bath-tub curve with the help of one example. [4+4+8]
8. a) b)
Distinguish between Markov chain and Markov process. The following Stochastic Transitional Probability Matrix P shows the transition states in per hour of a continuous Markov process.
uW
c)
nt
P=
Aj
i) Construct space diagram and discuss particular features of it. ii) Evaluate MTTF given that system starts in state 1. iii) Derive the differential equations of the system.
*****
[16]
CODE NO: R05410208
R05
SET - 4
IV B.TECH - I SEMESTER EXAMINATIONS - MAY, 2011 RELIABILITY ENGINEERING AND APPLICATIONS TO POWER SYSTEMS (ELECTRICAL AND ELECTRONICS ENGINEERING) Time: 3hours Max. Marks: 80 Answer any FIVE questions All Questions Carry Equal Marks ---
2. a) b) c)
.in
b)
Write the data requirements for composite system reliability evaluation and explain in detail. Explain the effects of weather on reliability of transmission lines. [8+8] Write the significance of primary and secondary reliability indices of electrical distribution system. Justify that in reliability point of view the components of a radial distribution feeder are connected in series. Obtain the average failure rate and average outage time of a series system having ‘n’ number of identical components. [6+4+6]
or ld
1. a)
Explain the following rules for combining probabilities of events, with the help of an example: i) Mutually exclusive events ii) Simultaneously occurrence of events. b) Define probability density and distribution factors c) Derive expected value and standard deviation for binomial distribution. [4+4+8]
4. a)
A system consists of three components in parallel. System success requires that at least one of these components must function. What is the probability of system success if the component reliability is 0.9? Use minimal cutset method. Evaluate reliability of the system shown in Figure:1 using conditional probability, if each component has reliability of 0.95.
Aj
nt
b)
uW
3. a)
c)
Figure: 1 What do you mean by redundancy of a system and write its effect on the reliability of a system? [6+6+4]
Define MTTF,MTTR and MTBF. Deduce the relationship between f (t), F(t) and R(t). What is Bath-tub curve? Explain the regions of Bath-tub curve with the help of one example. [4+4+8]
6. a) b)
Distinguish between Markov chain and Markov process. The following Stochastic Transitional Probability Matrix P shows the transition states in per hour of a continuous Markov process.
.in
5. a) b) c)
P=
i) Construct space diagram and discuss particular features of it. ii) Evaluate MTTF given that system starts in state 1. iii) Derive the differential equations of the system.
or ld
[16]
Draw the state space diagram for two component repairable systems. Obtain the frequency of encountering its individual states. Obtain mean duration of its states.
8. a) b)
Define availability and unavailability of generating unit. A Power System contains four generating units, where units 1, 2 and 3 have a capacity of 20MW and unit four has a capacity of 40 MW. The failure rate and the repair rate of each unit is 0 .4 per year and 9.6 per year respectively. Develop the combined capacity outage probability table. [4+12]
uW
7. a) b) c)
Aj
nt
*****
[4+6+6]
