A three-phase line, which has an impedance of 2 + 4j N per phase, feeds two balanced three-phase loads that are connected in parallel. Load 1 has an impedance of 90 + 30j N per phase, and Load 2 has an impedance of 30 – 10j N per phase. The load end voltage is 415 V. 2+4j balanced balanced 2+4j Y-connected three-phase voltage source Load 1 and Load 2 2+4j Figure 1: The balanced circuit for Problem 5. (a) How to connect Load 1 to achieve the maximum phase current for Load 1. What is the maximum phase current magnitude? (b) How to connect Load 1 and Load 2, respectively, to achieve a unity power factor seen from the source end? i. What is the line current magnitude flowing from the source to the load? ii. What is the line voltage magnitude at the source end? iii. Draw the phasor diagram relating the line-to-neutral voltage at the load end, the voltage drop in the line, and the line-to-neutral voltage at the source end.

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A three-phase line, which has an impedance of 2 + 4j N per phase, feeds two
balanced three-phase loads that are connected in parallel. Load 1 has an impedance of
90 + 30j N per phase, and Load 2 has an impedance of 30 – 10j N per phase. The load
end voltage is 415 V.
2+4j
balanced
balanced
2+4j
Y-connected
three-phase
voltage source
Load 1 and
Load 2
2+4j,
Figure 1: The balanced circuit for Problem 5.
(a) How to connect Load 1 to achieve the maximum phase current for Load 1. What is
the maximum phase current magnitude?
(b) How to connect Load 1 and Load 2, respectively, to achieve a unity power factor
seen from the source end?
i. What is the line current magnitude flowing from the source to the load?
ii. What is the line voltage magnitude at the source end?
iii. Draw the phasor diagram relating the line-to-neutral voltage at the load end,
the voltage drop in the line, and the line-to-neutral voltage at the source end.
Transcribed Image Text:A three-phase line, which has an impedance of 2 + 4j N per phase, feeds two balanced three-phase loads that are connected in parallel. Load 1 has an impedance of 90 + 30j N per phase, and Load 2 has an impedance of 30 – 10j N per phase. The load end voltage is 415 V. 2+4j balanced balanced 2+4j Y-connected three-phase voltage source Load 1 and Load 2 2+4j, Figure 1: The balanced circuit for Problem 5. (a) How to connect Load 1 to achieve the maximum phase current for Load 1. What is the maximum phase current magnitude? (b) How to connect Load 1 and Load 2, respectively, to achieve a unity power factor seen from the source end? i. What is the line current magnitude flowing from the source to the load? ii. What is the line voltage magnitude at the source end? iii. Draw the phasor diagram relating the line-to-neutral voltage at the load end, the voltage drop in the line, and the line-to-neutral voltage at the source end.
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