5. A 3-phase line 3 km long delivers 3000 kW at a p.f. 0-8 lagging to a load. The resistance and reactance per km of each conductor are 0-4 2 and 0-3 2 respectively. If the voltage at the supply end is maintained at 11 kV, calculate :
5. A 3-phase line 3 km long delivers 3000 kW at a p.f. 0-8 lagging to a load. The resistance and reactance per km of each conductor are 0-4 2 and 0-3 2 respectively. If the voltage at the supply end is maintained at 11 kV, calculate :
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.11P: A 40-km, 220-kV, 60-Hz, three-phase overhead transmission line has a per-phase resistance of...
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![5. A 3-phase line 3 km long delivers 3000 kW at a p.f. 0-8 lagging to a load. The resistance and reactance
per km of each conductor are 0-4Q and 0-3 2 respectively. If the voltage at the supply end is maintained
at 11 kV, calculate :
240
Principles of Power Syste m
(i) receiving end voltage (line-to-line)
(ii) line current
(iii) transmission efficiency.
() 10.46 kV (i) 207 A (ii) 95%]
6. A short 3-0 transmission line with an impedance of (5+j 20) 2 per phase has sending end and receiving
end voltages of 46-85 kV and 33 kV respectively for some receiving end load at a p.f.of 0-8 lagging.
Determine :
(i) power output
(ii) sending end power factor
7. A substation receives 6000 kVA at 6 kV, 0.8 p.f. lagging on low voltage side of a transformer from a
generating station through a 3-phase cable system having resistance of 7 2 and reactance of 2 Q per
phase. Identical 6600/33000 V transformers are installed at each end, 6600 V side being delta connected
and 33000 V side star connected. The resistance and reactance of each transformer are 1 2 and 9 2
() 22-86 kW (i) 0-657 lag)
[6778 V]
8. A short 3-phase transmission line connected to a 33kV, 50 Hz generating station at the sending end is
required to supply a load of 10 MW at 0-8 lagging power factor at 30 kV at the receiving end. If the
minimum transmission efficiency is to be limited to 96%, estimate the per phase value of resistance and
[2-4 Q; 0-028 H]
respectively, referred to h.v. side. Calculate the voltage at the generating station bus bars
inductance of the line.
9. A single phase transmission line is delivering 500 kVA load at 2 kV. Its resistance is 0-2 2 and inductive
reactance is 0-4 2. Determine the voltage regulation if the load power factor is (i) 0-707 lagging (ii)
0-707 leading.
() 5-3% (ii) -1-65%]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F372b66aa-091b-43f3-a689-16b758fcdfb5%2F20ff0dc5-9944-41a8-a155-24f637266db0%2Fq9tor4a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. A 3-phase line 3 km long delivers 3000 kW at a p.f. 0-8 lagging to a load. The resistance and reactance
per km of each conductor are 0-4Q and 0-3 2 respectively. If the voltage at the supply end is maintained
at 11 kV, calculate :
240
Principles of Power Syste m
(i) receiving end voltage (line-to-line)
(ii) line current
(iii) transmission efficiency.
() 10.46 kV (i) 207 A (ii) 95%]
6. A short 3-0 transmission line with an impedance of (5+j 20) 2 per phase has sending end and receiving
end voltages of 46-85 kV and 33 kV respectively for some receiving end load at a p.f.of 0-8 lagging.
Determine :
(i) power output
(ii) sending end power factor
7. A substation receives 6000 kVA at 6 kV, 0.8 p.f. lagging on low voltage side of a transformer from a
generating station through a 3-phase cable system having resistance of 7 2 and reactance of 2 Q per
phase. Identical 6600/33000 V transformers are installed at each end, 6600 V side being delta connected
and 33000 V side star connected. The resistance and reactance of each transformer are 1 2 and 9 2
() 22-86 kW (i) 0-657 lag)
[6778 V]
8. A short 3-phase transmission line connected to a 33kV, 50 Hz generating station at the sending end is
required to supply a load of 10 MW at 0-8 lagging power factor at 30 kV at the receiving end. If the
minimum transmission efficiency is to be limited to 96%, estimate the per phase value of resistance and
[2-4 Q; 0-028 H]
respectively, referred to h.v. side. Calculate the voltage at the generating station bus bars
inductance of the line.
9. A single phase transmission line is delivering 500 kVA load at 2 kV. Its resistance is 0-2 2 and inductive
reactance is 0-4 2. Determine the voltage regulation if the load power factor is (i) 0-707 lagging (ii)
0-707 leading.
() 5-3% (ii) -1-65%]
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