Please show me the steps of problem (e) only. Thank you! Q1. For the generator (

Question

Please show me the steps of problem (e) only. Thank you!

Q1. For the generator (60 Hz) located at bus#9 of the following generator data table (a) Calculate the synchronous speed in rev/min (b) Calculate the complex power output when operating at rated conditions (c) Calculate the prime-mover torque for this case 1.127 MNm (d) Calculate the induced emf Ef-Ef (e) Calculate the complex power output if the input torque from the turbine is 1800 rev/min 212.5 + j131 MVA 1.92/32.2 Pu increased by 10% from its base value and the terminal voltage remains constant 0.938 +j 0.404 pu System Generator Data. Rotor Bus (MVA) (kv) (lag) (Hz) (Mvar) (Mvar) Type Poles (s) -60- 100 345 120 250 80-40 Salient 24 5 13.8 0.80 60 13.8 0.85 60 140100 Noasalient 4 3 (impedance data in % on generator ratings) 10 8 10 8 5 2 0 1 1 100 50 20 70 50 20 20 8 2 2 2 2 120 40 15 120 40 15 15 5 2 1 11

Explanation / Answer

P is directly proportional to Torque, So P new= 1.1 Pold= 1.1*212.5/250=0.935

When P in increased, pf is changed to new value which is equal to 233.75/250=0.935

So Q=250* sin(phi)=88.61

But Qmin=100

Q=Qmin=100

Therefore in p u 100/250=0.4 pu

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