Abstract
The evidence is given for the matrix expression for optimization of the given node voltages sum distribution between the electric network nodes with one and many generation nodes. The regime structures of electric networks, which provide the minimum power losses during the given node voltages sum distribution between the electric network nodes with one and many generation nodes, were proven. The regime structure of the optimal electric network with one generation node is represented as the related population of the initial network arms, involved in the nodal loads power supply. Generally, the regime structures of the optimal electric network with one and many generation nodes are the same as the initial networks structures. In this case, the regime structures are characterized by different nodes voltages. The currents of load nodes are equal and amount to the generation current of the zero balancing point.
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