A three-phase system includes a 346.4 V line-to-line supplying a three-phase motor rated 15KVA 0.8pf lag plus additional balanced constant impedance loads. The single-phase representation of the system is shown below. Assume that sources and loads are Y-connected. 1. What is the RMS value of the line current, I in A? 2. If this set of loads will be supplied through a service transformer. What should the minimum size of the transformer in kVA? 3. What should be the size of three-phase capacitor(that will be added to the load mix) to improve power factor to almost 0.95 lag?

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
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ISBN:9781337399128
Author:Russell E. Smith
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Chapter7: Alternating Current, Power Distribution, And Voltage Systems
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A three-phase system includes a 346.4 V line-to-line supplying a three-phase motor rated 15KVA 0.8pf lag plus additional balanced constant impedance loads. The single-phase representation of the system is shown below. Assume that sources and loads are Y-connected.

1. What is the RMS value of the line current, I in A?

2. If this set of loads will be supplied through a service transformer. What should the minimum size of the transformer in kVA?

3. What should be the size of three-phase capacitor(that will be added to the load mix) to improve power factor to almost 0.95 lag?

+ I
200/0° V
0.8
j5.6
₁
∞
I₂
-j16:
I
13
M
S3 = 5 KVA
at 0.8 PF lag
Transcribed Image Text:+ I 200/0° V 0.8 j5.6 ₁ ∞ I₂ -j16: I 13 M S3 = 5 KVA at 0.8 PF lag
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