This paper aims at fundamentally finding optimal shape of networks used in delivering different distribution networks from one supplier plant to a number of end-users in order to minimize power loss in delivery process under a constraint of total flow volume. A general equation is developed for evaluating the power loss for different shape networks. Based on the equation, a parameter, γ, is deduced which can be applied to define the volume flow into three classifications. For each flow classification, the optimal shape network will be discussed. Results indicate that the radial shape will be optimum when γ ≥ 1. When γ<1, an optimal tree shape network is deduced for evenly distributed end-users on a square.

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