LINEAR MODEL OF POWER FLOW DISTRIBUTION IN REGIONAL POWER SYSTEM UNDER MAIN NODE OUTAGES
DOI:
https://doi.org/10.15407/dopovidi2026.04.043Keywords:
supply nodes, load nodes, power flow distribution, power moment, linear programming problem, transmission line capacity, outages of main nodesAbstract
A mathematical model for minimizing the power moment of an electric power network has been developed. The model takes into account the transmission capacity of power lines, the power balance equations at main supply nodes and load nodes, the full utilization of the transmission capacity of supply nodes, and the disconnection of incoming power lines at selected main nodes. The mathematical model is formulated as a linear programming problem. The properties of the solution are established, as well as the necessary and sufficient conditions for the consistency of the system of linear constraints. It is shown that at the point of minimum power, the corresponding power flows are transmitted along the power lines in only one direction. The conditions under which the required power flows cannot be transmitted through the power system have been identified. Computational results of power flow distribution and its efficiency (minimum power moment) are presented for ten operating scenarios of a model regional power system consisting of five supply nodes and ten load nodes, under conditions where the incoming transmission lines of the supply nodes are disconnected. The proposed mathematical model can be applied to balancing regional power systems under unexpected damage to critical power infrastructure accompanied by uncontrollable power shortages.
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