The following 3-phase balanced loads are connected in parallel across a 3- phase Wye-connected, 60Hz source of 4160 Volts line-to-line. Load #1 120kVA at 0.8 PF lag (Wye connected) Load #2 180kW at 0.7 lag (Wye connected) Load #3 13 Amps phase current, unity PF (Delta connected) a) Find the total complex power consumed by the three loads b) Find the total source line current (magnitude) c) Find the CAPACITANCE needed per phase (for a Delta connection) so that the overall power factor is 0.95lag d) Find the new source line current with the 3-phase bank of capacitors installed.

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 2.48P
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The following 3-phase balanced loads are connected in parallel across a 3- phase Wye-connected, 60Hz source of 4160 Volts line-to-line.

Load #1 120kVA at 0.8 PF lag (Wye connected)

Load #2 180kW at 0.7 lag (Wye connected)

Load #3 13 Amps phase current, unity PF (Delta connected)

a) Find the total complex power consumed by the three loads

b) Find the total source line current (magnitude)

c) Find the CAPACITANCE needed per phase (for a Delta connection) so that the overall power factor is 0.95lag

d) Find the new source line current with the 3-phase bank of capacitors installed.

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