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Determining open switch positions for the minimum-loas configuration of a radial distribution system is a discrete optimization problem. This paper presents a global optimality condition of the problem and two algorithms: one is based on the uniformly distributed load model and the other on the concentrated current (or power) demand model. The derivation of the ~ptimality condition relies on a concept of "basic" current profiles of feeder sections and a transformation of the optimization problem. In the first algorithm, a closed form of the minimum-loss open point of a feeder pair can be found since the loss function is piece-wise parabolic. The algorithm obtains the optimal solution when the minimum is obtained for every feeder pair. In the second algorithm, a similar procedure i s performed by moving open points, one at a time, from an actual switch position to another until no further loss reduction can be achieved. The proposed algorithms can be utilized as an on-line aid to distribution system operators. ABSTRACTDetermining open switch positions for the minimum-loas configuration of a radial distribution system is a discrete optimization problem. This paper presents a global optimality condition of the problem and two algorithms: one is based on the uniformly distributed load model and the other on the concentrated current (or power) demand model. The derivation of the ~ptimality condition relies on a concept of "basic" current profiles of feeder sections and a transformation of the optimization problem. In the first algorithm, a closed form of the minimum-loss open point of a feeder pair can be found since the loss function is piece-wise parabolic. The algorithm obtains the optimal solution when the minimum is obtained for every feeder pair. In the second algorithm, a similar procedure i s performed by moving open points, one at a time, from an actual switch position to another until no further loss reduction can be achieved. The proposed algorithms can be utilized as an on-line aid to distribution system operators.

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