Q2 Two three-phase, 6.6 kV, Y-connected synchronous generators are operating in parallel to supply a load of 3000 kW at 0.8 power factor lagging. The synchronous reactance per phase of machine A is j10 Q, while that of machine B is j12 Q (winding resistance and losses are negligible). The excitation of machine A is adjusted so that it delivers 150 A at a lagging power factor, and the governors that control the input torque of the generator prime movers are set such that the load is shared equally between the two machines. Determine the following for each machine: i. the armature current; ii. the power factor; ii. the excitation voltage, Ef, and, iv. the power angle. a.

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
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.56P: Three single-phase two-winding transformers, each rated 3kVA,220/110volts,60Hz, with a 0.10 per-unit...
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Q2
Two three-phase, 6.6 kV, Y-connected synchronous generators are operating in parallel to supply
a load of 3000 kW at 0.8 power factor lagging. The synchronous reactance per phase of machine A
is j10 Q, while that of machine B is j12 Q (winding resistance and losses are negligible). The
excitation of machine A is adjusted so that it delivers 150 A at a lagging power factor, and the
governors that control the input torque of the generator prime movers are set such that the load is
shared equally between the two machines.
a.
Determine the following for each machine:
i.
the armature current;
ii.
the power factor;
ii.
the excitation voltage, Ef; and,
iv.
the power angle.
Neatly sketch a phasor diagram for machine A, taking the terminal voltage as the reference.
Ensure all phasors are labelled, and all angles indicated.
b.
Transcribed Image Text:Q2 Two three-phase, 6.6 kV, Y-connected synchronous generators are operating in parallel to supply a load of 3000 kW at 0.8 power factor lagging. The synchronous reactance per phase of machine A is j10 Q, while that of machine B is j12 Q (winding resistance and losses are negligible). The excitation of machine A is adjusted so that it delivers 150 A at a lagging power factor, and the governors that control the input torque of the generator prime movers are set such that the load is shared equally between the two machines. a. Determine the following for each machine: i. the armature current; ii. the power factor; ii. the excitation voltage, Ef; and, iv. the power angle. Neatly sketch a phasor diagram for machine A, taking the terminal voltage as the reference. Ensure all phasors are labelled, and all angles indicated. b.
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