A grid-connected three-phase (Y-connected) synchronous generator nameplate reads 200 MVA and 22kV. The generator is supplying 100 MW at 0.8 power factor leading at its rated voltage. The synchronous reactance of the generator is 1.0 per unit using the rating as base values. Neglect all losses. Regard the terminal bus voltage as the reference phasor. Give your final answer in SI units. (a) Calculate the generator line current magnitude. (b) Calculate the internal emf phasor. (c) Calculate the steady state active and reactive power provided by the generator if the torque applied by the generator prime mover is increased by 25% and the field current is decreased by 10%. Assume the frequency and the terminal voltage remain the same.

A grid-connected three-phase (Y-connected) synchronous generator nameplate reads 200 MVA and 22kV. The generator is supplying 100 MW at 0.8 power factor leading at its rated voltage. The synchronous reactance of the generator is 1.0 per unit using the rating as base values. Neglect all losses. Regard the terminal bus voltage as the reference phasor. Give your final answer in SI units. (a) Calculate the generator line current magnitude. (b) Calculate the internal emf phasor. (c) Calculate the steady state active and reactive power provided by the generator if the torque applied by the generator prime mover is increased by 25% and the field current is decreased by 10%. Assume the frequency and the terminal voltage remain the same.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

A grid-connected three-phase (Y-connected) synchronous generator nameplate
reads 200 MVA and 22kV. The generator is supplying 100 MW at 0.8 power factor
leading at its rated voltage. The synchronous reactance of the generator is 1.0 per unit
using the rating as base values. Neglect all losses. Regard the terminal bus voltage as
the reference phasor. Give your final answer in SI units.
(a) Calculate the generator line current magnitude.
(b) Calculate the internal emf phasor.
(c) Calculate the steady state active and reactive power provided by the generator if
the torque applied by the generator prime mover is increased by 25% and the field
current is decreased by 10%. Assume the frequency and the terminal voltage remain
the same.
(d) Draw the torque-angle curves for the condition described in the question and for the
condition in (c).

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