Question:-
The one line diagram of 4 bus system is shown in below figure and table given in below gives the line impedances identified by the buses on which these terminate.


Line , R p.u , X p.u:

1 – 2 , 0.05 , 0.12

1 – 3 , 0.10 , 0.25

2 – 3 , 0.08 , 0.24

3 – 4 , 0.10 , 0.30





The element Y33 of Y bus matrix is.
Option (A)
1.0 + j2.83
Option (B)
1 – j3.42
Option(C)
1 – j2.82
Option(D)
1 – j2.42
Correct Option:
(C)
Question Solution:
γ33 = (1/z13) + (1/z23 ) + (1/z34)
=(1/(0.1 + j0.25)) + (1/(0.08+j0.24)) + (1/0.1+j0.3))
=1.0-j2.82 ohm
question-answer-faq-1641