A 200MVA,2-pole, 3ϕ gas turbine generator is attached to a 500KV (line-line), 60 Hz grid transmission line via an ideal step-up transformer with a turn ratio of a=0.03. The rated line-line output voltage of the generator is 15KV. The slope of the generator's power-frequency curve is 18MW/Hz, and the slope of the line relating the line-neutral terminal voltage to reactive power is 15KVAR/V. The armature winding resistance of the generator is negligible, and the synchronous reactance is XS=0.3Ω. The generator is providing 180MVA (total 3ϕ apparent power) to the grid at a power factor of 0.8333 lagging. a What is the rotational speed governor setpoint of the generator, in RPM? b.What is the no-load terminal voltage setpoint of the generator? c.What is the input torque from the gas turbine (neglect mechanical losses)?
A 200MVA,2-pole, 3ϕ gas turbine generator is attached to a 500KV (line-line), 60 Hz grid transmission line via an ideal step-up transformer with a turn ratio of a=0.03. The rated line-line output voltage of the generator is 15KV. The slope of the generator's power-frequency curve is 18MW/Hz, and the slope of the line relating the line-neutral terminal voltage to reactive power is 15KVAR/V. The armature winding resistance of the generator is negligible, and the synchronous reactance is XS=0.3Ω. The generator is providing 180MVA (total 3ϕ apparent power) to the grid at a power factor of 0.8333 lagging. a What is the rotational speed governor setpoint of the generator, in RPM? b.What is the no-load terminal voltage setpoint of the generator? c.What is the input torque from the gas turbine (neglect
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