SELECTION OF TYPE AND OPTIMUM SOURCES POWER FOR CONSUMERS' REACTIVE LOAD COMPENSATION USING LAGRANGE FUNCTION

Abstract

The article considers the methodology for selection of the type and optimum reactive sources power for compensation of reactive load of oil and gas industry consumers according to the criterion of minimum discounted costs, which include the costs for generation and transmission of reactive power to consumers, investments for installation of compensating devices, and costs for their operation. To determine the optimum distribution of reactive load between the sources, the method of undetermined Lagrange multiplier was used with the account of technical constraints in the form of inequalities, which, in the case of their violation, were set to limit values and optimization of the reactive power distribution was carried out between other sources, whose constraints had not been violated. An example of choosing the optimum sources power to compensate reactive load of the pumping station consumers was demonstrated. It was shown that, to compensate reactive power, it would be better to use condenser units and partially synchronous motors. It is impractical to use the system as a reactive power source due to heavy losses for reactive power transmission to consumers. The calculations proved that the complex use of reactive power sources seemed to be the most economical.