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Electric Motor

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Question

A power station consists of two synchronous generators of rating 500 MVA and 1000MVA with inertia 0.8 pu and 0.5 pu respectively on their own bases MVA rating. The equivalent pu inertia constant on 200 MVA common base is___.
4.5

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Solution

The correct option is A 4.5
Inertia constant $H \propto \frac{1}{M V A r a t i n g}$

$H_{n e w} = H_{1 o l d} \times \frac{S_{1 o l d}}{S_{n e w}}$

$= 0.8 \times \frac{500}{200} = 2 p u$

$H_{n e w} = H_{2 o l d} \times \frac{S_{2 o l d}}{S_{n e w}}$

$= 0.5 \times \frac{1000}{200} = 2.5 p u$

$H_{e q} = H_{1 n e w} + H_{2 n e w}$

$= 2.0 + 2.5 = 4.5 p u$

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