Six natural gas turbines drive six synchronous generators, providing 720 MW to a 24.6 kV infinite bus. The generators have a per phase reactance of 90%. Standard operating procedures require the generators to provide power at unity power factor, but the generators must be able to tolerate sudden changes in steam output of +/- 12% (shaft power is directly proportional to steam output). I'm trying to Calculate how power factor, armature current and power angle change if steamoutput increases 12% without changes in excitation to the rotor.  I'm also trying to Calculate the percent change in rotor current required to maintain unity power factor if the steam output increases 12%. Recalling how rotor flux relates to excitation current. Assume operation in the linear regime of the B-H curve I know that the angle should be the only change, and that the magnitude does not. The rotor current does not change and that is controlling the internal energy Ea. But I'm not sure how to calculate this correctly. Thank you for the help.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter39: Synchronous Motor Operation
Section: Chapter Questions
Problem 14SQ: Induction motors and welding transformers require magnetizing current, which causes a. lagging power...
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Six natural gas turbines drive six synchronous generators, providing 720 MW to a 24.6 kV 
infinite bus. The generators have a per phase reactance of 90%. Standard operating 
procedures require the generators to provide power at unity power factor, but the generators 
must be able to tolerate sudden changes in steam output of +/- 12% (shaft power is directly 
proportional to steam output).

I'm trying to Calculate how power factor, armature current and power angle change if steam
output increases 12% without changes in excitation to the rotor. 

I'm also trying to Calculate the percent change in rotor current required to maintain unity power factor 
if the steam output increases 12%. Recalling how rotor flux relates to excitation 
current. Assume operation in the linear regime of the B-H curve

I know that the angle should be the only change, and that the magnitude does not. The rotor current does not change and that is controlling the internal energy Ea. But I'm not sure how to calculate this correctly. Thank you for the help. 

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