Discussion
A 50 Hz, four pole turbo generator rated 100 MVA, 11 kV has an inertia constant of 8.0 MJ/MVA. What is the energy stored in the rotor at synchronous speed?
Answer: C
The inertia constant \(H\) is the kinetic energy stored in the rotor at synchronous speed per MVA of machine rating, so the stored energy is the product of \(H\) and the rating.
\[ \begin{aligned} W = H \times S \\ &= 8.0\ \text{MJ/MVA} \times 100\ \text{MVA} \\ &= 800\ \text{MJ} \end{aligned} \]
The frequency, number of poles and voltage are not needed. The values 8 MJ and 80 MJ would be for 1 MVA and 10 MVA, and 8000 MJ for 1000 MVA. The answer is 800 MJ, option C.
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