Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of ( 0.4 − j 2.7 ) Ω per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage at the load end of the line is 220 3 V . Compute (a) the line-to-line voltage at the source end of the line. (b) the total real and reactive power losses in the three-phase line, and (c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase comp lex power absorbed by the line and loads.
Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of ( 0.4 − j 2.7 ) Ω per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage at the load end of the line is 220 3 V . Compute (a) the line-to-line voltage at the source end of the line. (b) the total real and reactive power losses in the three-phase line, and (c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase comp lex power absorbed by the line and loads.
Solution Summary: The author explains the line-line voltage at the source end and the expression for the per phase current.
Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of
(
0.4
−
j
2.7
)
Ω
per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage at the load end of the line is
220
3
V
. Compute (a) the line-to-line voltage at the source end of the line. (b) the total real and reactive power losses in the three-phase line, and (c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase comp lex power absorbed by the line and loads.
5. The figure below shows two star connected loads with three phase power. The
voltage source is 120Z0°. The loads are Z₁ = 10 + j4 № and Z₂ = 2 +j3 №. The
cables are negligible.
Calculate:
a)
the line and phase current.
b) the real power from the source.
c) the reactive power of the circuit.
Is
V
N
Z₁
Z₁ Z₁
Z₂
Z₂
N
N
Z₂
SAP ID =8925
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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Types of Energy for Kids - Renewable and Non-Renewable Energies; Author: Smile and Learn - English;https://www.youtube.com/watch?v=w16-Uems2Qo;License: Standard Youtube License