how did they get the scaled phasor diagram? how did they get the scales? break down simply really confused.

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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Q4 (Unbalanced Delta)
R
12-j3
9+j0 Z
t VAN
Vay V=400V
V,
N
VYN
BN
Y
8+j5
VRY
400230"
IRY =
= 44.4230"
920"
ZRY
4002-90
9.43432
VYR
Iya =
42.42-122"
4004150°
VaR
IBR =
ZaR
= 32.2Z164
12.42-14°
Draw scaled phasor diagram to determine line currents IR, ly and la
-lyB
IRY
VRY
-lBR
VRN
w1
Scale:
1cm=10A
w2
VRB
VYN
-IRY
VyB
Measured from the scaled phasor diagram:
Transcribed Image Text:Q4 (Unbalanced Delta) R 12-j3 9+j0 Z t VAN Vay V=400V V, N VYN BN Y 8+j5 VRY 400230" IRY = = 44.4230" 920" ZRY 4002-90 9.43432 VYR Iya = 42.42-122" 4004150° VaR IBR = ZaR = 32.2Z164 12.42-14° Draw scaled phasor diagram to determine line currents IR, ly and la -lyB IRY VRY -lBR VRN w1 Scale: 1cm=10A w2 VRB VYN -IRY VyB Measured from the scaled phasor diagram:
IR = 71210°
Ir = 842-137"
Is = 442100°
The total real power (W) in the three phase load can be calculated as follows:
PTotal = IRY.RRY+ IYE.RYa+ IsR.RBR
Protat = 44.4 x9 +42.4 x8+32.2 x12
PTotal = 17.7kW +14.4kW +12.4kW
PTotal = 44.5kW
The total real power (W) can be calculated using the 2 Wattmeter method as follows:
PTotal =
Using values measured from the phasor diagram:
PTotal = 400x71x Cos 40° + 400x84 x Cos 47°
PTotal = 21.7 kW + 22.9kW
PTotat = 44.6kW
ie PRETTY CLOSE!!!!
how did they get the scaled phasor
diagram? how did they get the scales?
break down simply really confused.
Transcribed Image Text:IR = 71210° Ir = 842-137" Is = 442100° The total real power (W) in the three phase load can be calculated as follows: PTotal = IRY.RRY+ IYE.RYa+ IsR.RBR Protat = 44.4 x9 +42.4 x8+32.2 x12 PTotal = 17.7kW +14.4kW +12.4kW PTotal = 44.5kW The total real power (W) can be calculated using the 2 Wattmeter method as follows: PTotal = Using values measured from the phasor diagram: PTotal = 400x71x Cos 40° + 400x84 x Cos 47° PTotal = 21.7 kW + 22.9kW PTotat = 44.6kW ie PRETTY CLOSE!!!! how did they get the scaled phasor diagram? how did they get the scales? break down simply really confused.
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