A three-phase transmission line is 10 km long. It is supplying a load of 250 MW with a lagging power factor of 0.8. The receiving line-to-line end voltage is kept constant at 230 kV. The characteristics parameters of the transmission line are: (b) r = 0.5 Q x = 1.5 N (i) Determine the total impedance of the transmission line. (ii) Determine the voltage regulation. (iii) Determine the efficiency of the transmission line. (iv) Determine the voltage regulation if the system has unity power factor.

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 5.64P
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only need help with (iv)
answers of:
(i) Z = 1.581 /_ 71.565 DEGREE 
(ii) Voltage regulation = 0.769%
(iii) 99.632%

A three-phase transmission line is 10 km long. It is supplying a load of
250 MW with a lagging power factor of 0.8. The receiving line-to-line end
voltage is kept constant at 230 kV. The characteristics parameters of the
transmission line are:
(b)
r = 0.5 N
x = 1.5 Q
(i)
Determine the total impedance of the transmission line.
(ii)
Determine the voltage regulation.
(iii)
Determine the efficiency of the transmission line.
(iv)
Determine the voltage regulation if the system has unity power factor.
Transcribed Image Text:A three-phase transmission line is 10 km long. It is supplying a load of 250 MW with a lagging power factor of 0.8. The receiving line-to-line end voltage is kept constant at 230 kV. The characteristics parameters of the transmission line are: (b) r = 0.5 N x = 1.5 Q (i) Determine the total impedance of the transmission line. (ii) Determine the voltage regulation. (iii) Determine the efficiency of the transmission line. (iv) Determine the voltage regulation if the system has unity power factor.
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