A 3 phase, 415V, 50HZ, Delta connected synchronous machine, is operating as a synchronous capacitor to compensate for the lagging power factors of induction machines, ensuring the national grid sees unity power factor. Assuming the induction machines are very lightly loaded, giving a lagging power factor of 0.48, the reactive power being produced by the synchronous machine is 75,000 VAr's, and the synchronous reactance is 1.4N. Calculate: i) the load angle (8), ii) per phase Ef. iii) the real power.

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
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.1P
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A 3 phase, 415V, 50HZ, Delta connected synchronous machine,
is operating as a synchronous capacitor to compensate for the
lagging power factors of induction machines, ensuring the
national grid sees unity power factor.
Assuming the induction machines are very lightly loaded, giving
a lagging power factor of 0.48, the reactive power being
produced by the synchronous machine is 75,000 VAr's, and the
synchronous reactance is 1.4N. Calculate:
i) the load angle (8),
ii) per phase Ef.
iii) the real power.
Transcribed Image Text:A 3 phase, 415V, 50HZ, Delta connected synchronous machine, is operating as a synchronous capacitor to compensate for the lagging power factors of induction machines, ensuring the national grid sees unity power factor. Assuming the induction machines are very lightly loaded, giving a lagging power factor of 0.48, the reactive power being produced by the synchronous machine is 75,000 VAr's, and the synchronous reactance is 1.4N. Calculate: i) the load angle (8), ii) per phase Ef. iii) the real power.
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