A 60-Hz synchronous generator having inertia constant H= 5 MJ/MVA and a direct axis transient reactance X = 0.36 per unit is connected to infinite bus through a purely reactive circuit as shown in Fig. 3. Reactance are marked on the diagram on a common system base. The generator is delivering real power P, = 0.8 per unit to the infinite bus at a voltage of V = 1 per unit. Voltage magnitude at bus 1 is 1.2 per unit. A temporary three-phase fault occurs at the sending end of the line at point F through a fault impedance of Z = j0.2 per unit. When the fault is cleared, both lines are intact. (a) Determine the bus voltages and line currents during fault. %3D %3D (b) Determine the critical clearing time.

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
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.19P
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5.
A 60-Hz synchronous generator having inertia constant H= 5 MJ/MVA and a
direct axis transient reactance X = 0.36 per unit is connected to infinite bus
through a purely reactive circuit as shown in Fig. 3. Reactance are marked on the
diagram on a common system base. The generator is delivering real power P =
0.8 per unit to the infinite bus at a voltage of V = 1 per unit. Voltage magnitude
at bus 1 is 1.2 per unit. A temporary three-phase fault occurs at the sending end
of the line at point F through a fault impedance of Z = j0.2 per unit. When the
fault is cleared, both lines are intact.
%3D
%3D
(a) Determine the bus voltages and line currents during fault.
(b) Determine the critical clearing time.o
Bus 1
Bus 2
Xt=0.2
X0.6
Va10
-머
X=04
-어
Xd=0.36
F
Fig. 3. The one-line diagram for Problem 5.
Transcribed Image Text:5. A 60-Hz synchronous generator having inertia constant H= 5 MJ/MVA and a direct axis transient reactance X = 0.36 per unit is connected to infinite bus through a purely reactive circuit as shown in Fig. 3. Reactance are marked on the diagram on a common system base. The generator is delivering real power P = 0.8 per unit to the infinite bus at a voltage of V = 1 per unit. Voltage magnitude at bus 1 is 1.2 per unit. A temporary three-phase fault occurs at the sending end of the line at point F through a fault impedance of Z = j0.2 per unit. When the fault is cleared, both lines are intact. %3D %3D (a) Determine the bus voltages and line currents during fault. (b) Determine the critical clearing time.o Bus 1 Bus 2 Xt=0.2 X0.6 Va10 -머 X=04 -어 Xd=0.36 F Fig. 3. The one-line diagram for Problem 5.
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