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A logssless transmission line having Sure Impedance Loading
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Power systems miscellaneous

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Power systems miscellaneous
  1. A logssless transmission line having Sure Impedance Loading (SIL) of 2280 MW is provided with a uniformly distributed series capacitive compensation of 30%. Then, SIL of the compensated transmission line will be
    1. 1835 MW
    2. 2280 MW
    3. 2725 MW
    4. 3257 MW
Correct Option: B

There will not be any effect on active power of capacitve compensation
∴ SIL = 2280 MW

Alternately
Series reactance after series compensation
ZC2 = jωL -
1
 = jωL1 -
1
 = jωL1 -
Xse
jωCseΩ²LCseXL

The ratio, γ = Xse/XL se is called degree of series compensation.
Without compensation,
(SIL)1 =
V²
, ZC = jωL
Zc1

With series compensation,
(SIL)² =
V²
Zc2

(SIL)2 = (SIL)1 × =
Zc1
Zc2

=
(SIL)1
√1 - γ

=
2280
√1 - 0.3

= 2725 MW


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