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A 600 kVA, 11 kV/400 V single-phase transformer having 0.15 pu leakage impedance is connected in parallel with a 300 kVA, 11 kV/400 V single transformer having 0.05 pu leakage impedance. The maximum permissible kVA loading of the two in parallel without overloading any one is
1. 300 kVA
2. 400 kVA
3. 800 kVA
4. 1200 kVA

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Correct Answer - Option 2 : 400 kVA

Concept:

When unequal kVA ratings of transformers are operating in parallel, the transformer with the lowest kVA rating is loaded fully then the total allowable kVA loading is calculated.

Consider transformer 1 rating S1 kVA with leakage impedance z1, transformer 2 rating S2 kVA with leakage impedance z2 (S1 > S2)

Then total loading applied without overloading any transformer is

\(S = {S_2}\left( {\frac{{{z_1} + {z_2}}}{{{z_1}}}} \right)\)

Calculation:

Given S1 = 600 kVA, S2 = 300 kVA, z1 = 0.15 pu, z2 = 0.05 pu

Maximum permissible kVA loading is 

\(S = 300\left( {\frac{{0.15 + 0.05}}{{0.15}}} \right)\)

S = 400 kVA

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