The one-line diagram of a simple power system is shown in Figure 9.20. Each generator is represented by an emf behind the transient reactance. All impedances are expressed in per unit on a common MVA base. All resis- tances and shunt capacitances are neglected. The generators are operating on no load at their rated voltage with their emfs in phase. A three-phase fault occurs at bus 1 through a fault impedance of Zf = j0.08 per unit. (a) Using Thévenin's theorem obtain the impedance to the point of fault and the fault current in per unit. (b) Determine the bus voltages and line currents during fault. 3 Xt = 0.1 1 2 %3D XL = 0.2 Xa = 0.1 X = 0.1

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter9: Unsymmetrical Faults
Section: Chapter Questions
Problem 9.13P: Consider the oneline diagram of a simple power system shown in Figure 9.20. System data in per-unit...
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The one-line diagram of a simple power system is shown in Figure 9.20. Each generator is represented by an an emf behind the transient reactance. All impedances are expressed in per unit on a common MVA base. All resistance and shunt capacitances are neglected. The generation are operating on no load at their rated voltage with their emfs in phase. A three-phase fault occurs at bus 1 through a fault impedance of Z_f = j0.08 per unit. Using Thevenin's theorem obtain the impedance to the point of fault and the fault current in per unit. Determine the bus voltages and line currents during fault.

The one-line diagram of a simple power system is shown in Figure 9.20.
Each generator is represented by an emf behind the transient reactance. All
impedances are expressed in per unit on a common MVA base. All resis-
tances and shunt capacitances are neglected. The generators are operating on
no load at their rated voltage with their emfs in phase. A three-phase fault
occurs at bus 1 through a fault impedance of Zf = j0.08 per unit.
(a) Using Thévenin's theorem obtain the impedance to the point of fault and
the fault current in per unit.
(b) Determine the bus voltages and line currents during fault.
X = 0.1
Ho}foio*2= 0,2
Xa = 0.1
2
%3D
3
1
oto)
X = 0.1
%3D
FIGURE 9.20
Transcribed Image Text:The one-line diagram of a simple power system is shown in Figure 9.20. Each generator is represented by an emf behind the transient reactance. All impedances are expressed in per unit on a common MVA base. All resis- tances and shunt capacitances are neglected. The generators are operating on no load at their rated voltage with their emfs in phase. A three-phase fault occurs at bus 1 through a fault impedance of Zf = j0.08 per unit. (a) Using Thévenin's theorem obtain the impedance to the point of fault and the fault current in per unit. (b) Determine the bus voltages and line currents during fault. X = 0.1 Ho}foio*2= 0,2 Xa = 0.1 2 %3D 3 1 oto) X = 0.1 %3D FIGURE 9.20
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