A 1500 MVA synchronous generator has an inertia constant of 5.0 MJ/MVA...
Given data:
Synchronous generator rating (S) = 1500 MVA
Inertia constant (H) = 5.0 MJ/MVA
Base MVA (Sbase) = 50 MVA
To find:
The inertia constant of the machine relative to the 50 MVA base.
Formula:
Inertia constant (Hbase) = H * (S / Sbase)
Calculation:
Substituting the given values into the formula, we get:
Hbase = 5.0 MJ/MVA * (1500 MVA / 50 MVA)
Simplifying the expression:
Hbase = 5.0 MJ/MVA * 30
Hbase = 150 MJ/MVA
Therefore, the inertia constant of the machine relative to the 50 MVA base is 150 MJ/MVA, which corresponds to option 'D'.