Question 1: Figure 1 shows a single-line diagram of a three-phase, 60-Hz synchronous generator, connected through a transformer and parallel transmission lines to an infinite bus. All reactances are given in per-unit on a common system base. If the infinite bus receives 1.0 per unit real power at 0.95 p.f. lagging, determine (a) the internal voltage of the generator and (b) the equation for the electrical power delivered by the generator versus its power angle δ

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Question 1: Figure 1 shows a single-line diagram of a three-phase, 60-Hz synchronous generator, connected through a transformer and parallel transmission lines to an infinite bus. All reactances are given in per-unit on a common system base. If the infinite bus receives 1.0 per unit real power at 0.95 p.f. lagging, determine (a) the internal voltage of the generator and (b) the equation for the electrical power delivered by the generator versus its power angle δ.

Power System Analysis (522EE)
431
It is recommended to use a software program to solve the nonlinear equation in Q2 (b).
Question 1: Figure 1 shows a single-line diagram of a three-phase, 60-Hz synchronous generator,
connected through a transformer and parallel transmission lines to an infinite bus. All reactances are given
in per-unit on a common system base. If the infinite bus receives 1.0 per unit real power at 0.95 p.f. lagging,
determine (a) the internal voltage of the generator and (b) the equation for the electrical power delivered by
the generator versus its power angle 8.
B12
B21
X12 = 0.20
G XTB = 0.10
B11
X = 0.30
Vous = 1.0
822
Xi3 - 0.10
= 0.20
B13
Figure 1
Transcribed Image Text:Power System Analysis (522EE) 431 It is recommended to use a software program to solve the nonlinear equation in Q2 (b). Question 1: Figure 1 shows a single-line diagram of a three-phase, 60-Hz synchronous generator, connected through a transformer and parallel transmission lines to an infinite bus. All reactances are given in per-unit on a common system base. If the infinite bus receives 1.0 per unit real power at 0.95 p.f. lagging, determine (a) the internal voltage of the generator and (b) the equation for the electrical power delivered by the generator versus its power angle 8. B12 B21 X12 = 0.20 G XTB = 0.10 B11 X = 0.30 Vous = 1.0 822 Xi3 - 0.10 = 0.20 B13 Figure 1
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