Please show the steps for problem (e) only. Thank you. Q1. For the generator (60

Question

Please show the steps for 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

As it is given that it is operating for Bus 9 we will take all the data corresponding to bus 9

Part A)

We know that Synchronus speed is given as :N=120f/P

f is frequency in Hz P is number of poles .

Hence , N=(120)(60)/4 =1800 rev/min

Part b)

we are given :

pf=0.85 =cos(angle)

Now complex power is given as :

P=S+jQ

S=S(rated)*p.f.

Q=Q(rated)*sin(angle)

S=250*0.85 =212.5

Q=131

Henec P=212.5+j131 MVA

Part c)

Prime mover torque is given as :

T=(5252*746*Watt)/n

Watt =131W

n= number of poles =4

T=1.127MNm

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