Mathematical model for reducing active power losses by regulating reactive power at enterprises with continuous production mode

The article presents a mathematical model for reducing active power losses at enterprises with continuous production mode by regulating the magnitude of reactive power. The main theoretical principles, mathematical framework, and results obtained during the study are provided. The authors have analyzed impact of optimizing the magnitude of reactive power on the overall efficiency of the enterprise power consumption, and proposed practical recommendations for implementing the developed model into production processes. Relevance. Continuous production mode is particularly sensitive to the stability and reliability of power supply, as well as the quality of the supplied electricity. Industrial enterprises with continuous production mode are characterized by high energy consumption, which can be reduced by regulating the magnitude of reactive power. This, in its turn, reduces active power losses, increases overall energy efficiency, lowers production costs, and improves environmental performance. Aim. To develop and test a mathematical model aimed at reducing active power losses by regulating the magnitude of reactive power at enterprises with continuous production mode. The research focuses on identifying optimal parameters and conditions for regulating reactive power that will ensure minimal energy losses and maximum efficiency of electrical equipment. Methods. The development of the mathematical model employs classical Lagrangian optimization methods. Based on these methods, the authors performed an analysis of the current state of reactive power management, and developed a mathematical model, taking into account the specifics of continuous production. The model includes power balance equations, equipment parameter constraints, and operational modes of the enterprise. Optimization techniques such as linear and nonlinear programming are used to determine the optimal values of reactive power. Results. The authors developed the mathematical model that takes into account the features of continuous production processes and allows for the optimization of reactive power distribution. Experimental studies shown that the application of the developed model leads to a significant reduction in active power losses, an increase in the power factor, and a reduction in the enterprise overall energy costs. Practical implementation of the proposed methods resulted in a reduction of active power losses by approximately 25%, depending on the production conditions.