Q4: The single line diagram of an unloaded power system is shown in Fig. below. Reactances of the two sections of the transmission line are shown on the diagram. The generators and transformers are rated as follows: Generator 1: 20 MVA, 13.8 kV, X=0.2 pu Generator 2: 30 MVA, 18 kV, X = 0.2 pu Generator 3: 30 MVA, 20 kV, X«=0.2 pu Tị: 25 MVA, 220 Y:13.8 AkV, X = 10% T;: single-phase units, each rated 10 MVA, 127 Y:18 A kV, X = 10% T;: 35 MVA, 220 Y:22 Y kV, X= 10% a. Draw the impedance diagram with all reactances marked in per uint with letters to indicate points corresponding to the single line diagram. Choose a base of 50 MVA, 13.8 kV in the circuit of generator 1. b. Suppose that the system is unloaded and that the voltage throughout the system is I per unit on bases chosen in part a. If a three-phase short circuit occurs from bus C to ground, find the phasor value of the short circuit current (in amperes) if each generator is represented by its subtransient reactance. j 80 Q -머

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Q4: The single line diagram of an unloaded power system is shown in
Fig. below. Reactances of the two sections of the transmission line are
shown on the diagram. The generators and transformers are rated as
follows:
Generator 1: 20 MVA, 13.8 kV, X=0.2 pu
Generator 2: 30 MVA, 18 kV, X 0.2 pu
Generator 3: 30 MVA, 20 kV, X=0.2 pu
T: 25 MVA, 220 Y:13.8 AkV, X = 10%
T2: single-phase units, cach rated 10 MVA, 127 Y:18 A kV, X = 10%
T3: 35 MVA, 220 Y:22 Y kV, X = 10%
a. Draw the impedance diagram with all reactances marked in per uint
with letters to indicate points corresponding to the single line diagram.
Choose a base of 50 MVA, 13.8 kV in the circuit of generator 1.
b. Suppose that the system is unloaded and that the voltage throughout
the system is I per unit on bases chosen in part a. If a three-phase short
circuit occurs from bus C to ground, find the phasor value of the short
circuit current (in amperes) if each generator is represented by its
subtransient reactance.
7,
j 80
j100
Transcribed Image Text:Q4: The single line diagram of an unloaded power system is shown in Fig. below. Reactances of the two sections of the transmission line are shown on the diagram. The generators and transformers are rated as follows: Generator 1: 20 MVA, 13.8 kV, X=0.2 pu Generator 2: 30 MVA, 18 kV, X 0.2 pu Generator 3: 30 MVA, 20 kV, X=0.2 pu T: 25 MVA, 220 Y:13.8 AkV, X = 10% T2: single-phase units, cach rated 10 MVA, 127 Y:18 A kV, X = 10% T3: 35 MVA, 220 Y:22 Y kV, X = 10% a. Draw the impedance diagram with all reactances marked in per uint with letters to indicate points corresponding to the single line diagram. Choose a base of 50 MVA, 13.8 kV in the circuit of generator 1. b. Suppose that the system is unloaded and that the voltage throughout the system is I per unit on bases chosen in part a. If a three-phase short circuit occurs from bus C to ground, find the phasor value of the short circuit current (in amperes) if each generator is represented by its subtransient reactance. 7, j 80 j100
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