A 45-MVA, 41.57-kV, three-phase round-rotor synchronous generator has a synchronous reactance of 9 ohm per phase and negligible armature resistance. It supplies a load which is connected to an infinite bus as shown in Fig. 1. 1)  Determine the magnitude of the generated emf per phase and the power angle δ when the generator is supplying a 28-MW load at 0.76 power factor lagging at 95% of the rated terminal voltage. 2)  Draw a phasor diagram showing the magnitude and relationship between the generated emf, the generator terminal voltage and the armature current for the operating condition in Part 1. 3)  The generator is delivering 22 MW to the bus bar at 95% of the rated voltage with its field current adjusted for a generated emf of 25 kV per phase. Find the voltage regulation, the armature current, and the power factor for this operating condition.

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
Chapter6: Power Flows
Section: Chapter Questions
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A 45-MVA, 41.57-kV, three-phase round-rotor synchronous generator has a synchronous reactance of 9 ohm per phase and negligible armature resistance. It supplies a load which is connected to an infinite bus as shown in Fig. 1.

  1. 1)  Determine the magnitude of the generated emf per phase and the power angle δ when the generator is supplying a 28-MW load at 0.76 power factor lagging at 95% of the rated terminal voltage.

  2. 2)  Draw a phasor diagram showing the magnitude and relationship between the generated emf, the generator terminal voltage and the armature current for the operating condition in Part 1.

  3. 3)  The generator is delivering 22 MW to the bus bar at 95% of the rated voltage with its field current adjusted for a generated emf of 25 kV per phase. Find the voltage regulation, the armature current, and the power factor for this operating condition.

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Fig. 1 A synchronous machine connected to infinite bus
Transcribed Image Text:E V jX, Ia Fig. 1 A synchronous machine connected to infinite bus
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