Criteria for the existence of established modes of power systems
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doi:10.1088/1755-1315/614/1/012039
Abstract
This article considers the criteria for the existence of established modes of power
systems. Nonlinear nodal equations of steady-state modes are presented, which have many
solutions or do not have any physically realizable solutions. Criteria for the existence of
solutions are given based on derivatives of power losses depending on the parameters of the
power system modes. Equivalent circuit of the electrical system was performed using the
South-Western MEN (MAIN ELECTRIC NETWORKS). The paper highlights the results of
calculations of steady-state modes of the electrical system at weighted values of node 12.
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doi:10.1088/1755-1315/614/1/012039