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For the system shown below, SD1 and SD2 are complex power demands at bus 1 and bus 2 respectively. If |V2| = 1 pu, the VAR rating of the capacitor (QG2) connected at bus 2 is
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- 0.2 pu
- 0.268 pu
- 0.312 pu
- 0.4 pu
Correct Option: B
Current flowing from Bus 1 to Bus 2,
| I = | = - [1 - cosθ - jsinθ]2j | |
| z |
S1 [power deliverd at Bus 1] = V1 I* = 2j [1 – cosθ + jsinθ]
Given, 2 sinθ = 1 = SD1
θ = 30°
S2 [power received at Bus 2] = V2 I*
= 2j [cosθ +j sinθ].[(1– cosθ) + j sinθ]
= 2j [1– cosθ) – 2 sinθ
&rdrr;
Reactive power.
VAR ratio of the capacitor QG2 at Bus (2) is,
Q = 2 [1 – cosθ]
Q = 2 [1 – cos 30°] = 0.268 p.u.
