Problem 4 A balanced wye-connected three-phase source has line-to-line of 25 kVrms and it is applied to a wye-connected load, each arm of which consists of a 0.6 k resistance in series with a +j 1.2 kn as show in the figure below. Find: a) The voltages Van, Vbn, and Vcn. b) The magnitude and the phase angle of each line current: IGA, Ibb, and Icc. c) The magnitude and the phase angle associated with each phase current of the load: IAN, IBN, and ICN.

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e) The power delivered to the load and the power lost in the line.
f) The reactive power associated to the line and to each phase of the load.
Van
Vab= 25√2 400 kV
Ven
Von
Vhe 25√22-120⁰ kV
Vca 25√2 2120⁰ kV
IaA
IbB
I
IcC
60 Ω +j45 92
M0000
60 Ω
+j45 Ω
oooo
60 S2 +j45 92
W 0000
I BN
V BN
Zx
Zy
ICN
Zy
VCN
+
AN
Zy = 0.6 kΩ + j1.2 kΩ
AN
Transcribed Image Text:e) The power delivered to the load and the power lost in the line. f) The reactive power associated to the line and to each phase of the load. Van Vab= 25√2 400 kV Ven Von Vhe 25√22-120⁰ kV Vca 25√2 2120⁰ kV IaA IbB I IcC 60 Ω +j45 92 M0000 60 Ω +j45 Ω oooo 60 S2 +j45 92 W 0000 I BN V BN Zx Zy ICN Zy VCN + AN Zy = 0.6 kΩ + j1.2 kΩ AN
Problem 4
A balanced wye-connected three-phase source has line-to-line of 25 kVrms and it is applied to a
wye-connected load, each arm of which consists of a 0.6 k resistance in series with a +j 1.2 k as
show in the figure below. Find:
a) The voltages Van, Vbn, and Vcn.
b) The magnitude and the phase angle of each line current: IaA, Ibв, and Icc.
c) The magnitude and the phase angle associated with each phase current of the load: IAN, IBN,
and ICN.
d) The voltages across each impedance of the load: VAN, VBN, and VCN.
e) The power delivered to the load and the power lost in the line.
f) The reactive power associated to the line and to each phase of the load.
Vab= 25V2 400 kV
a
IaA
IbB
60 92
+j45 92
M 0000
60 92
+j45 Ω
m 0000
IBN
ZY
Zy
+
AN
Transcribed Image Text:Problem 4 A balanced wye-connected three-phase source has line-to-line of 25 kVrms and it is applied to a wye-connected load, each arm of which consists of a 0.6 k resistance in series with a +j 1.2 k as show in the figure below. Find: a) The voltages Van, Vbn, and Vcn. b) The magnitude and the phase angle of each line current: IaA, Ibв, and Icc. c) The magnitude and the phase angle associated with each phase current of the load: IAN, IBN, and ICN. d) The voltages across each impedance of the load: VAN, VBN, and VCN. e) The power delivered to the load and the power lost in the line. f) The reactive power associated to the line and to each phase of the load. Vab= 25V2 400 kV a IaA IbB 60 92 +j45 92 M 0000 60 92 +j45 Ω m 0000 IBN ZY Zy + AN
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