1. A balanced three phase 60HZ abc system feeds two A-connected loads in parallel. Load #1 draws 40KVA at a lagging power factor of 0.8, while load #2 absorbs 24kW at a lagging power factor of 0.9. The line to line voltage at the loads, between phase A and B, is = 440Z30°V rms. Find: V. AB a. The total complex power drawn by the loads. b. The phase current IaB1 for load #1. c. The power factor of the combined loads.

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 2.23MCQ: In a balanced system, the phasor sum of the line-to-line voltages and the phasor sum of the...
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Please help with this balanced three-phase circuit problem.

1. A balanced three phase 60HZ abc system feeds two A-connected loads in parallel. Load #1
draws 40KVA at a lagging power factor of 0.8, while load #2 absorbs 24kW at a lagging
power factor of 0.9. The line to line voltage at the loads, between phase A and B, is
V.
= 440Z30°V rms. Find:
АВ
a. The total complex power drawn by the loads.
b. The phase current IAB1 for load #1.
c. The power factor of the combined loads.
d. The line current on phase A of the transmission line.
e. A bank ofY-connected capacitors is added to the system. Determine:
i. The reactive power the capacitors need to generate to change the overall
power factor to 0.92 lagging.
ii. The value of each capacitor
f. The line current on phase A of the transmission line after the capacitors are added
to the system. Compare the amplitude of this new current to the amplitude of the
current before the capacitors were added
Transcribed Image Text:1. A balanced three phase 60HZ abc system feeds two A-connected loads in parallel. Load #1 draws 40KVA at a lagging power factor of 0.8, while load #2 absorbs 24kW at a lagging power factor of 0.9. The line to line voltage at the loads, between phase A and B, is V. = 440Z30°V rms. Find: АВ a. The total complex power drawn by the loads. b. The phase current IAB1 for load #1. c. The power factor of the combined loads. d. The line current on phase A of the transmission line. e. A bank ofY-connected capacitors is added to the system. Determine: i. The reactive power the capacitors need to generate to change the overall power factor to 0.92 lagging. ii. The value of each capacitor f. The line current on phase A of the transmission line after the capacitors are added to the system. Compare the amplitude of this new current to the amplitude of the current before the capacitors were added
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