A 60 Hz, three-phase transmission line is 100 miles long. It has a total series impedance of {35 + j120) n and a shunt admittance of j930 μsiemen. It delivers 40 MW at 220 kV with 90% lagging power factor. Find the voltage at the sending end by: (a) short line approximation (b) the nominal rr approximation (c) the nominal T approximation Also determine the voltage regulation for the given line and the power loss. Assume the sending end voltage remains constant.
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.
A 60 Hz, three-phase transmission line is 100 miles long. It has a total series
impedance of {35 + j120) n and a shunt admittance of j930 μsiemen. It delivers
40 MW at 220 kV with 90% lagging power factor. Find the voltage at the sending
end by:
(a) short line approximation
(b) the nominal rr approximation
(c) the nominal T approximation
Also determine the voltage regulation for the given line and the power loss.
Assume the sending end voltage remains constant.
Expected Answer:
(a) 237.67 kV, 1.4284 MW, 8.03%;
(b) 225.8 kV, 1.1642 MW, 8.67%
(c) 225.10 kV, 1.5095 MW, 8.35%
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