A 50 Hz three-phase Y-connected 4 pole synchronousgenerator is rated at 15 kVA, 400 V (line-to-line). Thesynchronous reactance Xs per phase is 20. The no-load(open circuit, line-to line) teminal voltage follows themagnetisation curve shown in Figure Q2a below.500E 450400350300250200150100500.511.52.5Field current (A)Figure Q2a: Magnetisation curve for rotor of a synchronousgenerator.(i) Determine the rated speed.(ii)What is the field current required at full-load operation at0.8 lagging pf.(iii) Draw the phasor diagram for the mode of operationdescribed in (ii) above.(iv) If the field current is set to 1.5 A, calculate the totalactive power that is delivered by the machine when it isoperating as a generator connected to a 400 V (line-to-line) infinite bus and making a torque angle of 5°.Open-circuit terminal voltage (V)

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A 50 Hz three-phase Y-connected 4 pole synchronous generator is rated at 15 kVA, 400 V (line-to-line). The synchronous reactance Xs per phase is 20. The no-load (open circuit, line-to line) teminal voltage follows the magnetisation curve shown in Figure Q2a below.

A 50 Hz three-phase Y-connected 4 pole synchronous generator is rated at 15 kVA, 400 V (line-to-line). The synchronous reactance Xs per phase is 20. The no-load (open circuit, line-to line) teminal voltage follows the magnetisation curve shown in Figure Q2a below.

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

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.4P

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Concept explainers

HVDC

HVDC stands for high voltage direct current in the electric power transmission system. The high voltage direct current system uses direct current (DC) for the transmission of electrical power through transmission lines in contrast with the alternating current that is the AC system. The HVDC is used to transmit bulk power point-to-point through long distances transmission lines. Power is rapidly transferred because the efficiency of transmission lines is greatly increased over long distances due to HVDC lines.

Question

A 50 Hz three-phase Y-connected 4 pole synchronous
generator is rated at 15 kVA, 400 V (line-to-line). The
synchronous reactance Xs per phase is 20. The no-load
(open circuit, line-to line) teminal voltage follows the
magnetisation curve shown in Figure Q2a below.
500
E 450
400
350
300
250
200
150
100
50
0.5
1
1.5
2.5
Field current (A)
Figure Q2a: Magnetisation curve for rotor of a synchronous
generator.
(i) Determine the rated speed.
(ii)
What is the field current required at full-load operation at
0.8 lagging pf.
(iii) Draw the phasor diagram for the mode of operation
described in (ii) above.
(iv) If the field current is set to 1.5 A, calculate the total
active power that is delivered by the machine when it is
operating as a generator connected to a 400 V (line-to-
line) infinite bus and making a torque angle of 5°.
Open-circuit terminal voltage (V)

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