In: Advanced Math
A three-phase 60-Hz transmission line is energized with 420 kV at the sending end. This line is lossless and 400 km long with ? = 0.001265 rad/km and ?? = 260 Ω. a) Suppose a three-phase short-circuit occurs at the receiving end. Determine the receiving end current and the sending end current. b) Determine the reactance and MVar of a shunt reactor to be installed at the load bus to limit the no-load receiving-end voltage to 440 kV. c) When the line delivers 800 MVA at 0.8 lagging power factor, a shunt capacitor bank is installed at the receiving end to improve the line performance. Determine the total Mvar and the capacitance of the Δ-connected capacitor bank to keep the receiving-end voltage at 400 kV when the sending-end voltage is 420 kV.
Solution:
According to given data –
Length of transmission line is 400km and freq is 60hz .So this is
the long transmission line.
In long transmission line distributive effect is more so we can’t
convert into the lamped network.
That’s why we use wave equation to analysis long transmission
line.
I solved this problem in very detail. I hope
its usefull.
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