A 3-phase, 50 Hz transmission line 100 km long delivers 20 MW at 0-9 p.f.1 lagging and at 110 kV. The resistance and reactance of the line per phase per km are 0-2 Q and 0-4 2 respectively, while capacitance admittance is 2-5 x 10° siemen/km/phase. Calculate : (i) the current and voltage at the sending end (ii) efficiency of transmission. Use nominal T method. Solution. Figs. 10.15 (i) and 10.15 (ii) show the circuit diagram and phasor diagram respec- tively. Total resistance/phase R = 0-2x 100 = 20 O

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.25P
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A 3-phase, 50 Hz transmission line 100 km long delivers 20 MW at 0-9 p.f.1
lagging and at 110 kV. The resistance and reactance of the line per phase per km are 0-2 Qand 0-4
2 respectively, while capacitance admittance is 2-5 x 10° siemen/km/phase. Calculate : (i) the
current and voltage at the sending end (ii) efficiency of transmission. Use nominalT method.
Solution. Figs. 10.15 (i) and 10.15 (ii) show the circuit diagram and phasor diagram respec-
tively.
Total resistance/phase. R = 0:2x 100 = 20 O
Transcribed Image Text:A 3-phase, 50 Hz transmission line 100 km long delivers 20 MW at 0-9 p.f.1 lagging and at 110 kV. The resistance and reactance of the line per phase per km are 0-2 Qand 0-4 2 respectively, while capacitance admittance is 2-5 x 10° siemen/km/phase. Calculate : (i) the current and voltage at the sending end (ii) efficiency of transmission. Use nominalT method. Solution. Figs. 10.15 (i) and 10.15 (ii) show the circuit diagram and phasor diagram respec- tively. Total resistance/phase. R = 0:2x 100 = 20 O
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