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  1. A 500 M W, 21 k V, 50 H z, 3-phase, 2-pole synchronous generator having a rated p.f.= 0.9 has a moment of inertia of 27.5 × 10³ kg-m². The inertia constant (H) will be
    1. 2.44 s
    2. 2.71 s
    3. 4.88 s
    4. 5.42 s
Correct Option: A

Machine rating (G) =
P
=
500MW
= 555.56 MVA
cosφ0.9

Synchronous speed, Ns =
120 × 50
= 3000 rpm
2

Stored KE =
1
× M ×
2πN
²
260

Stored KE =
1
× 27.5 × 10³
2π × 3000
²
260

= 1357.07 MJ
Inetria Constant,H =
KE
=
1357.07
= 2.44s
MVA555.56



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