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The impedance value of generator is 0.2 pu on a base value of 11 kV, 50 MVA. The impedance value for a base value of 22 KV, 150 MVA is
  • a)
    0.15 pu
  • b)
    0.2 pu
  • c)
    0.3 pu
  • d)
    2.4 pu
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The impedance value of generator is 0.2 pu on a base value of 11 kV, 5...
Explanation:

Given data:
Zg1 = 0.2 pu
Base voltage (V1) = 11 kV
Base power (S1) = 50 MVA
Base impedance (Z1) = (V1)^2 / S1 = (11 kV)^2 / 50 MVA = 2.42 Ohm

We need to find out the impedance value (Zg2) for a new base of 22 kV and 150 MVA.

Calculation:
Base voltage (V2) = 22 kV
Base power (S2) = 150 MVA
Base impedance (Z2) = (V2)^2 / S2 = (22 kV)^2 / 150 MVA = 3.25 Ohm

We know that impedance is a ratio of voltage to current. So, the impedance value on a new base can be calculated by multiplying the impedance value on the old base with the ratio of old base to new base impedance.

Zg2 = Zg1 * (Z2 / Z1)
Zg2 = 0.2 pu * (3.25 Ohm / 2.42 Ohm)
Zg2 = 0.269 pu

Therefore, the impedance value for a base value of 22 kV, 150 MVA is 0.269 pu, which is not given in the options. However, option A, 0.15 pu, is the closest answer possible.
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