Two turbo alternators with ratings given below are interconnected via a short transmission line

Machine 1: 4 pole, 50 Hz, 60 MW, power factor 0.80 lagging, moment of inertia 30,000 kg-m2.

Machine 2: 2 pole, 50 Hz, 80 MW, power factor 0.85 lagging, moment of inertia 10,000 kg-m2.

Calculate the inertia constant of the single equivalent machine on a base of 200 MVA.

1
5.124 MJ/MVA
2
3.51 MJ/MVA
3
5.94 MJ/MVA
4
4.315 MJ/MVA

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