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PU Impedance/ Reactance Diagram of a Power System

A transmissio...

Question

A transmission line has 0.1 pu impedance on a base of 132 kV, 100 MVA. The pu impedance on a base of 220 kV, 50 MVA is ____pu.
0.018

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Solution

The correct option is A 0.018
$\frac{X_{p u} (n e w)}{X_{p u} (o l d)} = \frac{(M V A)_{n e w}}{(M V A)_{o l d}} \times \frac{(k V)_{o l d}^{2}}{(k V)_{n e w}^{2}}$

$\frac{X_{p u}}{0.1} = \frac{50}{100} \times {(\frac{132}{220})}^{2}$

$X_{p u} = 0.018 p u$

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