Q4. A 3-phase, 60 Hz, 500-kV transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and its capacitance is 0.0115µF/km per phase. Assume a lossless line. (i) Determine the line phase constant B, the surge impedance Z, velocity of propagation v and the line wavelength A. (ii) The receiving end rated load is 800 MW, 0.8 power factor lagging at 500 kV. Determine the sending end quantities and the voltage regulation. (iii) Calculate the receiving end voltage when line is terminated in an open circuit and is energized with 500 kV at the sending end.
Short Transmission Line
A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.
Power Flow Analysis
Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.
Complex Form
A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.
![Q4. A 3-phase, 60 Hz, 500-kV transmission line is 300 km long. The line inductance is 0.97 mH/km per
phase and its capacitance is 0.0115µF/km per phase. Assume a lossless line.
(i) Determine the line phase constant ß, the surge impedance Z, velocity of propagation v and the
line wavelength .
(ii) The receiving end rated load is 800 MW, 0.8 power factor lagging at 500 kV. Determine the
sending end quantities and the voltage regulation.
(iii) Calculate the receiving end voltage when line is terminated in an open circuit and is energized
with 500 kV at the sending end.
(iv) Determine the reactance and the Mvar of a 3-phase shunt reactor to be installed at the receiving
end to keep the no-load receiving end voltage at the rated value.
(v) Now if the transmission line supplies a load of 1000 MVA, 0.8 power factor lagging at 500 kV,
determine the Mvar and the capacitance of the shunt capacitors to be installed at the receiving end
to keep the receiving end voltage at 500 kV when the line is energized with 500 kV at the sending
end.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83385ae0-ae4f-47ee-946d-4555287ce7c2%2F7c90e7eb-1ed1-4c90-bd18-501d83a502ef%2Fdwa4797_processed.jpeg&w=3840&q=75)
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