11. A 3-phase, 50 Hz, 150 km line has a resistance, inductive reactance and capacitive shunt admittance of 0.102, 0.52 and 3x10-6 S per km per phase. If the line delivers 50 MW at 110 kV and 0.8 p.f lagging, determine the sending end voltage and current. Assume a nominal- circuit for the line. (Ans. 143.55 kV (line), 306.4 A]
11. A 3-phase, 50 Hz, 150 km line has a resistance, inductive reactance and capacitive shunt admittance of 0.102, 0.52 and 3x10-6 S per km per phase. If the line delivers 50 MW at 110 kV and 0.8 p.f lagging, determine the sending end voltage and current. Assume a nominal- circuit for the line. (Ans. 143.55 kV (line), 306.4 A]
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![Transmission Lines
1-91
CHAPTER 1
Problems on Nominal 'n' Method
11. A 3-phase, 50 Hz, 150 km line has a resistance, inductive reactance and capacitive
shunt admittance of 0.102, 0.52 and 3x10-6 S per km per phase. If the line delivers
50 MW at 110 kV and 0.8 p.f lagging, determine the sending end voltage and current.
Assume a nominal- circuit for the line.
(Ans. 143.55 kV (line), 306.4 A]
12. A 3, 50 Hz overhead line 160 km long with 132 kV between the lines at the receiving
end has the following constants.
Resistance/km/conductor=
0.160
Inductance/km/conductor
1.2 mH
Capacitance/km/conductor = 0.0082 #F
Determine the voltage, current and power at the sending end when supplying a load
of 100 MVA at 0.8 p.f lagging. Using '' representation of the line.
[Ans. 175.18 kV (line), 414.11 A, 0.749 lag]
13. A 3-phase overhead transmission line has the following constants.
Resistance/phase = 102
Inductive reactance/phase = 350
Capacitive admittance/phase = 3x10-4 Siemen
If the line supplied a balanced load of 40,000 kVA at 110 kV and 0.8 p.f. lagging,
calculate (i) Sending end power factor (ii) regulation (iii) transmission eficiency.
[Ans. (i) 0.798 lag (ii) 10% (iii) 96.38%)
14. A 1 transmission line 160 km long has the following constants. Resistance/km =
0.1562, reactance/km = 0.52, susceptance/km = 8.75x10-6 and receiving end
voltage = 66 kV. Using nominal method calculate the sending end voltage, sending
end current, sending end P.F when the line is delivering 15 mW at 0.8 p.f lagging.
[Ans. 82.96 kV, 226.5A, 0.886 lagging]
Problems on Nominal-T Method:
15. A 3 transmission line delivers 20,000 kVA, p.f 0.8 lagging at 66 kv at receiving end.
Each conductor has a resistance of 102 and inductive reactance of 302 and an
admittance due to capacitance between line and neutral of 4x10-4 S. Calculate the
voltage, current and p.f at the transmitting end and the efficiency of transmission, use
nominal 'T' method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6365bc74-1f4b-4818-aed1-3dd8f58280a2%2F3c87619c-314d-4f17-a7e9-d8467ae5a40d%2F3i90ljp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Transmission Lines
1-91
CHAPTER 1
Problems on Nominal 'n' Method
11. A 3-phase, 50 Hz, 150 km line has a resistance, inductive reactance and capacitive
shunt admittance of 0.102, 0.52 and 3x10-6 S per km per phase. If the line delivers
50 MW at 110 kV and 0.8 p.f lagging, determine the sending end voltage and current.
Assume a nominal- circuit for the line.
(Ans. 143.55 kV (line), 306.4 A]
12. A 3, 50 Hz overhead line 160 km long with 132 kV between the lines at the receiving
end has the following constants.
Resistance/km/conductor=
0.160
Inductance/km/conductor
1.2 mH
Capacitance/km/conductor = 0.0082 #F
Determine the voltage, current and power at the sending end when supplying a load
of 100 MVA at 0.8 p.f lagging. Using '' representation of the line.
[Ans. 175.18 kV (line), 414.11 A, 0.749 lag]
13. A 3-phase overhead transmission line has the following constants.
Resistance/phase = 102
Inductive reactance/phase = 350
Capacitive admittance/phase = 3x10-4 Siemen
If the line supplied a balanced load of 40,000 kVA at 110 kV and 0.8 p.f. lagging,
calculate (i) Sending end power factor (ii) regulation (iii) transmission eficiency.
[Ans. (i) 0.798 lag (ii) 10% (iii) 96.38%)
14. A 1 transmission line 160 km long has the following constants. Resistance/km =
0.1562, reactance/km = 0.52, susceptance/km = 8.75x10-6 and receiving end
voltage = 66 kV. Using nominal method calculate the sending end voltage, sending
end current, sending end P.F when the line is delivering 15 mW at 0.8 p.f lagging.
[Ans. 82.96 kV, 226.5A, 0.886 lagging]
Problems on Nominal-T Method:
15. A 3 transmission line delivers 20,000 kVA, p.f 0.8 lagging at 66 kv at receiving end.
Each conductor has a resistance of 102 and inductive reactance of 302 and an
admittance due to capacitance between line and neutral of 4x10-4 S. Calculate the
voltage, current and p.f at the transmitting end and the efficiency of transmission, use
nominal 'T' method.
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