A three-phase line, which has an impedance of ( 2 + j 4 ) Ω per phase, feeds two balanced three-phase loads that are connected in parallel. One of the loads is Y-connected with an impedance of ( 30 + j 40 ) Ω per phase, and the other is Δ -connected with an impedance of ( 60 − j 45 ) Ω per phase. The line is energized at the sending end from a 60-Hz, three-phase, balanced voltage source of 120 3 V (rms. line-to-line). Determine (a) the current, real power. and reactive power delivered by the sending-end source: (b) the line-to-line voltage at the load: (C) the current per phase in each load: and (d) the total three-phase real and reactive powers absorbed by each load and by the line. Check that the total three- phase complex power delivered by the source equals the total three-phase power absorbed by the line and loads.
A three-phase line, which has an impedance of ( 2 + j 4 ) Ω per phase, feeds two balanced three-phase loads that are connected in parallel. One of the loads is Y-connected with an impedance of ( 30 + j 40 ) Ω per phase, and the other is Δ -connected with an impedance of ( 60 − j 45 ) Ω per phase. The line is energized at the sending end from a 60-Hz, three-phase, balanced voltage source of 120 3 V (rms. line-to-line). Determine (a) the current, real power. and reactive power delivered by the sending-end source: (b) the line-to-line voltage at the load: (C) the current per phase in each load: and (d) the total three-phase real and reactive powers absorbed by each load and by the line. Check that the total three- phase complex power delivered by the source equals the total three-phase power absorbed by the line and loads.
A three-phase line, which has an impedance of
(
2
+
j
4
)
Ω
per phase, feeds two balanced three-phase loads that are connected in parallel. One of the loads is Y-connected with an impedance of
(
30
+
j
40
)
Ω
per phase, and the other is
Δ
-connected with an impedance of
(
60
−
j
45
)
Ω
per phase. The line is energized at the sending end from a 60-Hz, three-phase, balanced voltage source of
120
3
V
(rms. line-to-line). Determine (a) the current, real power. and reactive power delivered by the sending-end source: (b) the line-to-line voltage at the load: (C) the current per phase in each load: and (d) the total three-phase real and reactive powers absorbed by each load and by the line. Check that the total three- phase complex power delivered by the source equals the total three-phase power absorbed by the line and loads.
• 1. Determine the equivalent impedance and the equivalent
admittance.
- jIon
Jisa
Łeg
12n
A single phase transmission line is delivering 500 kVA load at 2 kV. Its
resistance is 0-2 0 and inductive reactance is 0-4 0. Determine the voltage
regulation if the load power factor is 0-707 lagging.
O 8.5 %
O 7.2 %
O 5.3 %
O 6.4 %
Find the line currents Ia, Ib, and Ic in the three-phase network in figure 4 below.
Take Z= 12 - j15, ZY = 4 + j6, and Zı= 2
208/120° V
208/0° V
B
208/-120° V
Figure 4
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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