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A three phase transmission line having conductors each of resistance 1.0 Ω/km is supplying a load of 15 MW at 0.8 power factor lagging. The receiving end voltage is 120 kV. The losses in the transmission line is found to be 15% of load. The distance over which the load supplied is ______ (in km)
Correct answer is between '91.5,93'. Can you explain this answer?
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Verified Answer
A three phase transmission line having conductors each of resistance 1...
P = 15 MW
Power factor = 0.8 lagging
R = 1 Ω/km
VR = 120 kV
Line losses = 
Line current 
Line losses = 3I2R = 2.25×10 6
Length of line = 92.16 km
Most Upvoted Answer
A three phase transmission line having conductors each of resistance 1...
Ohm and inductance 1.2 mH per km is delivering 5 MW at 220 kV and 0.8 power factor lagging. The length of the line is 150 km. Determine the regulation of the line.
Solution:
Given data:
Resistance of each conductor = 1.0 ohm
Inductance of each conductor = 1.2 mH/km
Power delivered = 5 MW
Voltage = 220 kV
Power factor = 0.8 lagging
Length of the line = 150 km
First, we need to calculate the line impedance per phase:
Z = R + jX
where,
R = resistance per km
X = inductance per km
Z = √(R² + X²)
Z = √((1.0 ohm/km)² + (1.2 mH/km)²)
Z = 1.44 + j0.001728 ohm/km
Z(phase) = (1.44 + j0.001728) * 150 km
Z(phase) = 216 + j0.2592 ohm
Next, we need to calculate the load impedance:
P = VI cos(θ)
Q = VI sin(θ)
S = VI*
where,
P = active power delivered = 5 MW
V = line voltage = 220 kV
cos(θ) = power factor = 0.8 lagging
Q = reactive power delivered = 4.0 MW
S = apparent power delivered = √(P² + Q²) = 6.25 MVA
Z(load) = V² / S
Z(load) = (220 kV)² / 6.25 MVA
Z(load) = 7.744 ohm
Now, we can calculate the voltage drop:
V(drop) = I(load) * Z(total)
where,
I(load) = S / V = 28.41 A
Z(total) = Z(phase) + Z(load)
Z(total) = (216 + j0.2592) + 7.744
Z(total) = 224.744 + j0.2592 ohm
V(drop) = (28.41 A) * (224.744 + j0.2592) ohm
V(drop) = 6,391 + j7.3592 kV
Finally, we can calculate the regulation:
Regulation = (V(drop) / V) * 100
Regulation = ((6,391 + j7.3592 kV) / 220 kV) * 100
Regulation = 2.90% + j3.34%
Solution:
Given data:
Resistance of each conductor = 1.0 ohm
Inductance of each conductor = 1.2 mH/km
Power delivered = 5 MW
Voltage = 220 kV
Power factor = 0.8 lagging
Length of the line = 150 km
First, we need to calculate the line impedance per phase:
Z = R + jX
where,
R = resistance per km
X = inductance per km
Z = √(R² + X²)
Z = √((1.0 ohm/km)² + (1.2 mH/km)²)
Z = 1.44 + j0.001728 ohm/km
Z(phase) = (1.44 + j0.001728) * 150 km
Z(phase) = 216 + j0.2592 ohm
Next, we need to calculate the load impedance:
P = VI cos(θ)
Q = VI sin(θ)
S = VI*
where,
P = active power delivered = 5 MW
V = line voltage = 220 kV
cos(θ) = power factor = 0.8 lagging
Q = reactive power delivered = 4.0 MW
S = apparent power delivered = √(P² + Q²) = 6.25 MVA
Z(load) = V² / S
Z(load) = (220 kV)² / 6.25 MVA
Z(load) = 7.744 ohm
Now, we can calculate the voltage drop:
V(drop) = I(load) * Z(total)
where,
I(load) = S / V = 28.41 A
Z(total) = Z(phase) + Z(load)
Z(total) = (216 + j0.2592) + 7.744
Z(total) = 224.744 + j0.2592 ohm
V(drop) = (28.41 A) * (224.744 + j0.2592) ohm
V(drop) = 6,391 + j7.3592 kV
Finally, we can calculate the regulation:
Regulation = (V(drop) / V) * 100
Regulation = ((6,391 + j7.3592 kV) / 220 kV) * 100
Regulation = 2.90% + j3.34%
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A three phase transmission line having conductors each of resistance 1.0 Ω/km is supplying a load of 15 MW at 0.8 power factor lagging. The receiving end voltage is 120 kV. The losses in the transmission line is found to be 15% of load. The distance over which the load supplied is ______ (in km)Correct answer is between '91.5,93'. Can you explain this answer?
Question Description
A three phase transmission line having conductors each of resistance 1.0 Ω/km is supplying a load of 15 MW at 0.8 power factor lagging. The receiving end voltage is 120 kV. The losses in the transmission line is found to be 15% of load. The distance over which the load supplied is ______ (in km)Correct answer is between '91.5,93'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A three phase transmission line having conductors each of resistance 1.0 Ω/km is supplying a load of 15 MW at 0.8 power factor lagging. The receiving end voltage is 120 kV. The losses in the transmission line is found to be 15% of load. The distance over which the load supplied is ______ (in km)Correct answer is between '91.5,93'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three phase transmission line having conductors each of resistance 1.0 Ω/km is supplying a load of 15 MW at 0.8 power factor lagging. The receiving end voltage is 120 kV. The losses in the transmission line is found to be 15% of load. The distance over which the load supplied is ______ (in km)Correct answer is between '91.5,93'. Can you explain this answer?.
A three phase transmission line having conductors each of resistance 1.0 Ω/km is supplying a load of 15 MW at 0.8 power factor lagging. The receiving end voltage is 120 kV. The losses in the transmission line is found to be 15% of load. The distance over which the load supplied is ______ (in km)Correct answer is between '91.5,93'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A three phase transmission line having conductors each of resistance 1.0 Ω/km is supplying a load of 15 MW at 0.8 power factor lagging. The receiving end voltage is 120 kV. The losses in the transmission line is found to be 15% of load. The distance over which the load supplied is ______ (in km)Correct answer is between '91.5,93'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three phase transmission line having conductors each of resistance 1.0 Ω/km is supplying a load of 15 MW at 0.8 power factor lagging. The receiving end voltage is 120 kV. The losses in the transmission line is found to be 15% of load. The distance over which the load supplied is ______ (in km)Correct answer is between '91.5,93'. Can you explain this answer?.
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