The single line diagram, shown below, has the following ratings and reactances:
G1: 100 MVA, 25 kV, X1 = X2 = 0.20, X0 = 0.05 per unit, Zng = j0.03
G2: 100 MVA, 13.8 kV, X1 = X2 = 0.20, X0 = 0.05 per unit, Zng = j0.03
T1: 100 MVA, 25 kV (Y) / (230) kVY, X = 0.05 per unit
T2: 100 MVA, 13.8 kV (Δ) / (230) kVY, X = 0.05 per unit
Line 1-2: 100 MVA, 230 kV, X1 = X2 = 0.1, X0 = 0.3
Line 1-3: 100 MVA, 230 kV, X1 = X2 = 0.1, X0 = 0.3
Line 2-3: 100 MVA, 230 kV, X1 = X2 = 0.1, X0 = 0.3
Using a 100 MVA, 230 kV base for the transmission lines, draw the per-unit sequence networks and reduce them to their Thevenin equivalents, "looking in" at bus 3. Neglect transformer phase shifts. Compute the fault currents for a bolted three-phase fault at bus 3. |V| = 1.0 pre-fault. Zbus matrices appear below.
Zbus 0 = j * [[0.1080, 0.0216, 0.0648, 0.0795, 0.0000, 0.0443, 0.0330, 0.0159, 0.0000, 0.0330, 0.1989, 0.0477, 0.0000, 0.0795, 0.0159, 0.0477, 0.0955, 0.0000, 0.0000, 0.0000, 0.0000, 0.1400]]
0.0000
0.0795
0.0648
0.0000
0.0795
0.0648
0.0216
Zbus 1 = Zbus 2 = j * [[0.1397, 0.1103, 0.1250, 0.1118, 0.0882, 0.1397, 0.1250, 0.0882, 0.1118, 0.1250, 0.1750, 0.1000, 0.1000, 0.0882, 0.1000, 0.1294, 0.0706, 0.1118, 0.1000, 0.0706, 0.1294]]
0.0882
0.1118
0.1250
0.1103
1. The single line diagram, shown below, has the following ratings and reactances:
G1: 100 MVA, 25 kV, X1 = X2 = 0.20, X0 = 0.05 per unit, Zng = j0.03
G2: 100 MVA, 13.8 kV, X1 = X2 = 0.20, X0 = 0.05 per unit, Zng = j0.03
T1: 100 MVA, 25 kV (Y) / 230 kVY, X = 0.05 per unit
T2: 100 MVA, 13.8 kV (Δ) / 230 kVY, X = 0.05 per unit
Line 1-2: 100 MVA, 230 kV, X1 = X2 = 0.1, X0 = 0.3
Line 1-3: 100 MVA, 230 kV, X1 = X2 = 0.1, X0 = 0.3
Line 2-3: 100 MVA, 230 kV, X1 = X2 = 0.1, X0 = 0.3
Using a 100 MVA, 230 kV base for the transmission lines, draw the per-unit sequence networks and reduce them to their Thevenin equivalents, "looking in" at bus 3. Neglect transformer phase shifts. Compute the fault currents for a bolted three-phase fault at bus 3. |V| = 1.0 pre-fault. Zbus matrices appear below.
Zbus 0 = j * [[0.1080, 0.0216, 0.0648, 0.0795, 0.0000, 0.0443, 0.0330, 0.0159, 0.0000, 0.0330, 0.1989, 0.0477, 0.0000, 0.0795, 0.0159, 0.0477, 0.0955, 0.0000, 0.0000, 0.0000, 0.0000, 0.1400]]
0.0000
0.0795
0.0648
0.0000
0.0795
0.0648
0.0216
Zbus 1 = Zbus 2 = j * [[0.1397, 0.1103, 0.1250, 0.1118, 0.0882, 0.1397, 0.1250, 0.0882, 0.1118, 0.1250, 0.1750, 0.1000, 0.1000, 0.0882, 0.1000, 0.1294, 0.0706, 0.1118, 0.1000, 0.0706, 0.1294]]
0.0882
0.1118
0.1250
0.1103