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GATE EE 2014 Set 3 — Question 53

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NAT+2 / -0HardSwing Equation & Power-AnglePower System StabilityPower Systems

Power Systems → Power System Stability → Swing Equation & Power-Angle

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Question

The figure shows the single line diagram of a single machine infinite bus system.
The inertia constant of the synchronous generator H=5H = 5 MW-s/MVA. Frequency is 50 Hz. Mechanical power is 1 pu. The system is operating at the stable equilibrium point with rotor angle δ\delta equal to 30∘30^\circ. A three phase short circuit fault occurs at a certain location on one of the circuits of the double circuit transmission line. During fault, electrical power in pu is Pmaxsin⁡δP_{max} \sin \delta. If the values of δ\delta and dδ/dtd\delta/dt at the instant of fault clearing are 45∘45^\circ and 3.762 radian/s respectively, then PmaxP_{max} (in pu) is _______.
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