A gas turbine, 2-pole, 3? synchronous generator rated at 200 MW is connected to the grid (presumed to be an infinite bus). The electrical operating frequency of the grid is 60 Hz, and the slope of the frequency-power curve for the generator is 15 MW/Hz. a. If the no-load setpoint for the generator is set to 63.5 Hz, how much active power will the generator provide to the grid? b.  Neglecting system losses, what is the torque provided by the gas turbine? c. What would happen if the no-load setpoint for the generator is set to 59 Hz?

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 12.5P
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A gas turbine, 2-pole, 3? synchronous generator rated at 200 MW is connected to the grid (presumed to be an infinite bus). The electrical operating frequency of the grid is 60 Hz, and the slope of the frequency-power curve for the generator is 15 MW/Hz.

a. If the no-load setpoint for the generator is set to 63.5 Hz, how much active power will the generator provide to the grid?

b.  Neglecting system losses, what is the torque provided by the gas turbine?

c. What would happen if the no-load setpoint for the generator is set to 59 Hz?

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