A balanced three-phase distribution line has an impedance of (1 +j8)ohm/phase .This line is used to supply three balanced three-phase loads that are connected in parallel. The three loads are: Load I: S1/phase = 40kVA at a power factor of 0.96 leading. Load 2: S2/phase = 60 kVA at a power factor of 0.8 lagging. Load 3: P3/phase= 33.6 kW and Q3/phase = 5.2 kVAR. The magnitude of the phase-to-neutral voltage at the terminals of the loads is 2400 V (rms)and is considered as phase reference. a) Find the total complex apparent power per phase STotal/phase b)Draw the single phase equivalent circuit. c)What is the magnitude of the phase-to-neutral voltage at the sending end of the line?

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.51P: A three-phase line with an impedance of (0.2+j1.0)/ phase feeds three balanced three-phase loads...
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A balanced three-phase distribution line has an impedance of (1 +j8)ohm/phase .This line is used to supply three balanced three-phase loads that are connected in parallel. The three loads are:
Load I: S1/phase = 40kVA at a power factor of 0.96 leading.
Load 2: S2/phase = 60 kVA at a power factor of 0.8 lagging.
Load 3: P3/phase= 33.6 kW and Q3/phase = 5.2 kVAR.
The magnitude of the phase-to-neutral voltage at the terminals of the loads is
2400 V (rms)and is considered as phase reference.
a) Find the total complex apparent power per phase STotal/phase
b)Draw the single phase equivalent circuit.
c)What is the magnitude of the phase-to-neutral voltage at the sending end of the line?
d)Find the complex apparent power per phase at the source end of
the line.

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