Question

A 2-pole, 50 hz, 3-phase, 100 mva, 33 kv turbo-alternator connected to an infinite bus has a moment if inertia of 107 kg-m2 in its rotating parts. It has a synchronous reactance of 0.5 p.U. The natural time period of oscillations of the machine is

Answer 1

Answer: Dear student

Answer is 7..874.

Explanation:

pns = f ;

ns = f / p = 50 / 1 = 50 rps

T = 0.498 × ns × √jXs pu / (kVA)3φ ×f

T = 0.498 × 50 × √106 × 0.5 / ( 100 × 103 ) × 50 =

T =7.874 s

                                                            Hope it helps

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