In a 132 {kV} system, the series inductance up to the point of circuit breaker location is 50 {mH}. The shunt capacitance at the circuit breaker terminal is 0.05 \mu {F}. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is_______.

GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 39 of 65

Marks: +1, -0

In a

132 {kV}

system, the series inductance up to the point of circuit breaker location is

50 {mH}

. The shunt capacitance at the circuit breaker terminal is

0.05 µ {F}

. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is_______.

Your Answer:

Validate

Solution:

Given data:
Series inductance,

{L}=50 {mH}

Shunt capacitance,

{C}=0.05 µ {F}

Critical resistance required to be connected across breaker which will give no transient oscillation is,

{R} \;\; =\;{1}/{2} √{\;{ {L}}/{ {C}}}

=\;{1}/{2} √{\;{50 × 10^{-3}}/{0.05 × 10^{-6}}}=500 Ω

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