Abstract
In this paper, the problem of optimizing the generated reactive power distribution for reducing the loss of active power in the elements of industry power supply system presented. The problem of optimal distribution of generated reactive powers by synchronous motors in the power supply systems belongs to the nonlinear mathematical programming class and can be solved by using the Lagrange multiplier method. The Lagrange method allows one to reduce the problem of conditional optimization (that is, finding the relative extremum of the objective function with certain limitations) to the simpler problem of unconditional optimization (the search of an absolute extremum).A complete mathematical model of optimization problem of the rational distribution of the generated reactive power by the synchronous motors in order to reduce the loss of active power in the power supply system elements of an industrial enterprise developed. The obtained mathematical problem allows one to consider a number of limitations related to both the mode of operation for the individual power supply system elements and the entire system as it is.
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