Unbalanced loads are connected to a balanced three-phase four-wire 50 Hz 400 V supply in star configuration. The symmetrical components, lo, ₁ and /₂, of unbalanced line currents are given as: :10.51-176.13° A /1: 20.66210.88° A 12: 9.962-18.62° A Assume that the transmission line has negligible impedance. Calculate: (i) The line currents. (ii) The resistance and inductance (or capacitance) of each load, Za, Zb and Zc.

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
Chapter8: Symmetrical Components
Section: Chapter Questions
Problem 8.6P
Question
Unbalanced loads are connected to a balanced three-phase four-wire
50 Hz 400 V supply in star configuration. The symmetrical
components, lo, ₁ and /₂, of unbalanced line currents are given as:
:10.51-176.13° A
/1: 20.66210.88° A
12: 9.962-18.62° A
Assume that the transmission line has negligible impedance.
Calculate:
(i) The line currents.
(ii) The resistance and inductance (or capacitance) of each load,
Za, Zb and Zc.
Transcribed Image Text:Unbalanced loads are connected to a balanced three-phase four-wire 50 Hz 400 V supply in star configuration. The symmetrical components, lo, ₁ and /₂, of unbalanced line currents are given as: :10.51-176.13° A /1: 20.66210.88° A 12: 9.962-18.62° A Assume that the transmission line has negligible impedance. Calculate: (i) The line currents. (ii) The resistance and inductance (or capacitance) of each load, Za, Zb and Zc.
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