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  1. Single line diagram of a 4-bus single source distribution system is shown below. Branches e1, e2, e3 and e4 have equal impedances. The load current values indicated in the figure are in per unit.

    Distribution company’s policy requires radial system operation with minimum loss. This can be achieved by opening of the branch
    1. e
    2. e2
    3. e3
    4. e4
Correct Option: D

Let impedence of each branch be R. On removing e1 1

∴ Losses = 8²R + 3²R + 1²R = 74 R Simlary on removing e2
∴ Losses = 8²R + 7²R + 5²R = 138 R Simlary on removing e3
∴ Losses = 1²R + 7²R + 2²R = 54 R Simlary on removing e4
∴ Losses = 3²R + 2²R + 5²R = 38 R.
So on removing bus e4 losses are minimum, so correct of option is (d).



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