A single-line diagram of a four-bus system is shown in Figure 3: BUS 3 ww 10.25 10,25 Zbus- j* /0,1 Let a three-phase fault occur at bus 2 of the network. a- Determine Ybus of this system. b- Assume that: BUS 2 0.125 BUS 1 10.2 j0.2 (ground is the reference node) Figure 3: Four-bus system. j0,4 ww BUS 4 0.2437 0.1939 0.1545 0.1457 0.1939 0.2295 0.1495 0.1507 0.1545 0.1495 0.1956 0.1046 0.1457 0.1507 0.1046 0.1955) j0.1 10.2 c- Using Zbus, calculate the initial symmetrical RMS current in the fault, Assume the prefault voltage Vf at bus 2 to be 10°, and neglect all prefault currents. d- Determine the voltages during the fault at buses 1, 3, and 4. e- Compute the fault currents contributed to bus 2 by the adjacent unfaulted buses 1, 3, and 4. f Find the current flow in the line from bus 3 to bus 1.

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A single-line diagram of a four-bus system is shown in Figure 3:
BUS 3
b- Assume that:
0.25
/0,25
ww
m 10.1
j0.2
Zbus- j*
Let a three-phase fault occur at bus 2 of the network.
a- Determine Ybus of this system.
BUS 2
0.125
BUS 1
10.2
j0,4
(ground is the reference node)
Figure 3: Four-bus system.
BUS 4
www
m 10.1
0.2437 0.1939 0.1545 0.1457
0.1939 0.2295 0.1495 0.1507
0.1545 0.1495 0.1956 0.1046
0.1457 0.1507 0.1046 0.1955
10.2
c- Using Zbus, calculate the initial symmetrical RMS current in the fault, Assume the prefault voltage Vf at
bus 2 to be 10°, and neglect all prefault currents.
d- Determine the voltages during the fault at buses 1, 3, and 4.
e- Compute the fault currents contributed to bus 2 by the adjacent unfaulted buses 1, 3, and 4.
f Find the current flow in the line from bus 3 to bus 1.
Transcribed Image Text:A single-line diagram of a four-bus system is shown in Figure 3: BUS 3 b- Assume that: 0.25 /0,25 ww m 10.1 j0.2 Zbus- j* Let a three-phase fault occur at bus 2 of the network. a- Determine Ybus of this system. BUS 2 0.125 BUS 1 10.2 j0,4 (ground is the reference node) Figure 3: Four-bus system. BUS 4 www m 10.1 0.2437 0.1939 0.1545 0.1457 0.1939 0.2295 0.1495 0.1507 0.1545 0.1495 0.1956 0.1046 0.1457 0.1507 0.1046 0.1955 10.2 c- Using Zbus, calculate the initial symmetrical RMS current in the fault, Assume the prefault voltage Vf at bus 2 to be 10°, and neglect all prefault currents. d- Determine the voltages during the fault at buses 1, 3, and 4. e- Compute the fault currents contributed to bus 2 by the adjacent unfaulted buses 1, 3, and 4. f Find the current flow in the line from bus 3 to bus 1.
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