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.
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