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  1. For the Y-bus matrix of a 4-bus system given in per unit, the buses having shunt elements are
    1. 3 and 4
    2. 2 and 3
    3. 1 and 2
    4. 1, 2 and 4
Correct Option: C


Here, y11 = y10 + y12 + y13 + y14 = – 5j ....(i)
y22 = y20 + y22 + y23 + y24 = –10j ....(ii) y33 = y30 + y32 + y33 + y34 = –9 j ....(iii)
y44 = y40 + y42 + y43 + y44 = – 8j ...(iv) y12 = y21 = – y12 = 2j
y13 = y31 = – y13 = 2.5 j
y14 = y41 = – y10 = 0j
y23 = y32 = – y23 = 2.5 j
y24 = y42 – y24 = 4j
From equation (i),
y10 = y11 – y12 – y13 – y14
y10 = – 5j + 2j + 2.5j + 0j = – 0.5j

From equation (ii)
y20 = y22 – y12 – y23 – y24
= – 10j + 2 j + 2.5j + j = – 1.5 j
From equation (iii)
y30 = y33 – y31 – y32 – y34
= – 9j + 2.5j + 2.5j + j4 = 0
From equation (iv)
y40 = y44 – y41 – y42 – y43
= – 8j – 0 + 4j + 4j = 0
Hence obviously branches (1) and (2) behaves as shunt elements.



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