Selections of undefined Lagrange multipliers in the planning of short-term hydrothermal power system modes

Abstract

The paper studies the issues of the correct choice of uncertain Lagrange multipliers with optimal
distribution of graphs of total active loads of the power system between thermal and hydroelectric power
plants. An algorithm has been developed that provides for the selection of the optimal value of the
Lagrange coefficient, ensuring minimum fuel consumption, in the presence of thermal and hydroelectric
power plants in the power system. The created algorithm makes it possible to determine the optimal
modes of power plants and power systems with high accuracy and reliability.