GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 29 of 65

Marks: +1, -0

A three-phase synchronous motor draws

200 {A}

from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of

0.5

leading is

Solution:

√{3} V_{L} I_{L}=

Power drawn by motor at upf

=√{3} V_{L} 200

When the power factor changes to

0.5

leading, still power drawn will be the same (if change in losses is neglected).

∴ √{3} V_{L} I_{L}(0.5)=√{3} V_{L} 200

{I}_{ {L}}=400 {A}

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