A three-phase, 60 Hz synchronous generator in Fig. 1 delivers 0.9 per-unit real power at 1.08 per unit terminal voltage to an infinite bus with voltage of 1.0 pu. The reactance data for the power system is given in per unit on a common base and shown in Fig. 1. Determine: a) the reactive power output at the terminal of the generator and reactive power delivered to the infinite bus; b) the generator internal voltage (E′);

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Chapter9: Components For Electric Motors
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Problem 14RQ
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2) A three-phase, 60 Hz synchronous generator in Fig. 1 delivers 0.9 per-unit real power at 1.08 per
unit terminal voltage to an infinite bus with voltage of 1.0 pu. The reactance data for the power
system is given in per unit on a common base and shown in Fig. 1. Determine:
a) the reactive power output at the terminal of the generator and reactive power delivered to
the infinite bus;
b) the generator internal voltage (E′);
c) determine and plot an equation for electrical power delivered by the generator to the infinite
bus versus angle δ.
Note: E′ is internal voltage behind transient reactance x′d

B12
X12=0.20
B21
X7=0.1
E'Z8°
V
(3
(8)
X13=0.10
X32=0.20
x'a=0.3
Vr
Infinite
bus
B13
B23
Figure 1: Problem 2: one-line diagram
Transcribed Image Text:B12 X12=0.20 B21 X7=0.1 E'Z8° V (3 (8) X13=0.10 X32=0.20 x'a=0.3 Vr Infinite bus B13 B23 Figure 1: Problem 2: one-line diagram
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