Practice over 1000+ GATE-level questions from this topic!
Designed to match the latest GATE pattern with topic-wise precision, difficulty tagging, and detailed solutions.
The bus admittance 
matrix of a 3-bus power system is given below.
Considering that there is no shunt inductor connected to any of the buses, which of the following can NOT be true?
Line charging capacitor of finite value is present in all three lines.
Line charging capacitor of finite value is present in line 2-3 only.
Line charging capacitor of finite value is present in line 2-3 only and shunt capacitor of finite value is present in bus 1 only.
Line charging capacitor of finite value is present in line 2-3 only and shunt capacitor of finite value is present in bus 3 only.
Sum of the elements in a row of YBUS matrix represents the admittance b/w particular bus & ground.
Based on values above the system can be represented as,
π-model of a transmission line can be shown as
That is the line has equal capacitances at both ends.
So, we can consider line connecting bus-2 & 3 only has line charging capacitance of j0.5
Bus-3 has shunt capacitor of j0.5
∴ Statement b & d are correct & statement a & c are incorrect.