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GATE EE 2024 Set 1 — Question 19

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MCQ+1 / -0.33HardRadial & Ring DistributionInsulators & DistributionPower Systems

Power Systems → Insulators & Distribution → Radial & Ring Distribution

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Question

The figure shows the single line diagram of a 4-bus power network. Branches b1,b2,b3,b_1, b_2, b_3, and b4b_4 have impedances 4z,z,2z,4z, z, 2z, and 4z4z per-unit (pu), respectively, where z=r+jxz = r + jx, with r>0r > 0 and x>0x > 0. The current drawn from each load bus (marked as arrows) is equal to II pu, where I≠0I \neq 0. If the network is to operate with minimum loss, the branch that should be opened is
Single-line diagram: a generator feeds a top bus. Branch b1 runs from the top bus to a left bus and b2 from the top bus to a right bus. Branch b3 runs from the left bus to a bottom bus and b4 from the right bus to the bottom bus, forming a diamond-shaped loop. Each of the left, right and bottom buses has a load arrow labelled I.
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