GATE EE 2019 Set 1 — Question 61
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Electrical Machines → Power System Stability → Swing Equation & Power-Angle
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Question
In the single machine infinite bus system shown below, the generator is delivering the real power of at power factor lagging to the infinite bus. The power angle of the generator in degrees (round off to one decimal place) is ________.

Correct answer
19 to 22
Solution
Given:
Real power
Power factor lagging
Infinite bus voltage From the diagram, the total series reactance between the generator internal EMF and the infinite bus is:The current delivered to the bus is:In phasor form: The internal EMF is:The power angle is the angle of :Rounding to one decimal place, we get .
Real power
Power factor lagging
Infinite bus voltage From the diagram, the total series reactance between the generator internal EMF and the infinite bus is:The current delivered to the bus is:In phasor form: The internal EMF is:The power angle is the angle of :Rounding to one decimal place, we get .
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