Three identical steam-turbine generators G,, G2, and G3 are operating in parallel. Each generator is: 7.2 KV, 20 MVA, 50 Hz, 0.85 PF lagging, 4-poles, Y-connected, with a synchronous reactance of 2 Q and an armature resistance of 0.05 Q. Each of generators G1 and G2 has a characteristic power-frequency slope of 4.7 MW/Hz, while generator G3 has a slope of 5.0 MW/Hz. If all three generators are supplying a total load of 51.2 MW, and the no-load frequency of each generator is set to 52.4 Hz, what will the system frequency be? How much power is supplied by generator G3? Select one: O a. fsys = 48.84 Hz, PG3 = 17.8 MW O b. None O c. fsys = 49.05 Hz, PG3 = 16.75 MW O d. fsys = 48.95 Hz, PG3 = 17.25 MW Clear my choice

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
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.8P
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Three identical steam-turbine generators G1, G2, and G3 are operating in parallel.
Each generator is: 7.2 KV, 20 MVA, 50 Hz, 0.85 PF lagging, 4-poles, Y-connected, with a synchronous reactance of 2 Q and an armature
resistance of 0.05 Q.
Each of generators G1 and G2 has a characteristic power-frequency slope of 4.7 MW/Hz, while generator G3 has a slope of 5.0 MW/Hz.
If all three generators are supplying a total load of 51.2 MW, and the no-load frequency of each generator is set to 52.4 Hz, what will the
system frequency be? How much power is supplied by generator G3?
Select one:
O a. fsys = 48.84 Hz, PG3 = 17.8 MW
O b. None
O c. fsys = 49.05 Hz, PG3 = 16.75 MW
O d. fsys = 48.95 Hz, PG3 = 17.25 MW
Clear my choice
Transcribed Image Text:Three identical steam-turbine generators G1, G2, and G3 are operating in parallel. Each generator is: 7.2 KV, 20 MVA, 50 Hz, 0.85 PF lagging, 4-poles, Y-connected, with a synchronous reactance of 2 Q and an armature resistance of 0.05 Q. Each of generators G1 and G2 has a characteristic power-frequency slope of 4.7 MW/Hz, while generator G3 has a slope of 5.0 MW/Hz. If all three generators are supplying a total load of 51.2 MW, and the no-load frequency of each generator is set to 52.4 Hz, what will the system frequency be? How much power is supplied by generator G3? Select one: O a. fsys = 48.84 Hz, PG3 = 17.8 MW O b. None O c. fsys = 49.05 Hz, PG3 = 16.75 MW O d. fsys = 48.95 Hz, PG3 = 17.25 MW Clear my choice
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