The ABCD constants of a lossless 3-phasc, 500-kV transmission line are Obtain th

Question

The ABCD constants of a lossless 3-phasc, 500-kV transmission line are Obtain the sending end quantities and the voltage regulation when line delivers 1000 MVA at 0.8 lagging power factor at 500 kV. To improve the line performance, series capacitors arc installed at both ends in each phase of the transmission line. As a result of this, the compensated ABCD constants become where Xc is the total reactance of the series capacitor. If Xc - 100 Ohm Determine the compensated ABCD constants. Determine the sending-en

Explanation / Answer

1,000 MVA to MW=1000*cos(36.8699)=800 MW

a) IR=800,000/(1.73*500*0.8) angle -36.8699 degrees=1,154.7 angle -36.8699 degrees amps

VR=500,000/1.73=288,675 angle 0 degrees VS=0.86*288,675+j369.8*1,154.7 angle -36.8699 degrees=

609,246 angle 34.1045 degrees=VS Magnitude VS=609,246 angle 34.1045 degrees*1.73=1.05524 E6 angle 34.1045 degrees volts

VR,NL=(1.05524 E6V/0.86)=1.22703 E6 volts % reg=(1.22703 E6-500,000)/500,000*100=145.406 %

b) ([0.76,(413.188 angle 90 degrees):(0.002 angle 90 degrees),0.85898])

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