A 4200-V, three-phase transmission line has an impedance of 4+j ohms per phase. If it supplies a load of 1 MVA at 0.75 power factor, find: (a) the complex power (b) the power loss in the line (c) the voltage at the sending end. *Ans. S=0.75+j0.66 MVA, PL=25.14 kW and VS=4.492∠ − 1.912°kV

A 4200-V, three-phase transmission line has an impedance of 4+j ohms per phase. If it supplies a load of 1 MVA at 0.75 power factor, find: (a) the complex power (b) the power loss in the line (c) the voltage at the sending end. *Ans. S=0.75+j0.66 MVA, PL=25.14 kW and VS=4.492∠ − 1.912°kV

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 5.7P

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Concept explainers

Single Phase AC Circuit

Alternating Current (AC) is a type of electric power in which the electric current changes, both in magnitude and direction, at regular intervals. This AC Circuits can deliver power in either a Single Phase system or a Three Phase system.

Question

A 4200-V, three-phase transmission line has an impedance of 4+j ohms per phase. If it supplies a load of 1 MVA at 0.75 power factor, find:

(a) the complex power

(b) the power loss in the line

*Ans. S=0.75+j0.66 MVA, PL=25.14 kW and VS=4.492∠ − 1.912°kV

Use four decimal places.

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