Abstract
One of the quickly developing trends in the optimization of electric power grids is system development of operation and optimization of branch circuits which are based on linear programming problems. One of its categories is traffic problem. The paper discusses the formulation of various types of transport optimization problems used in the design of the most efficient power supply systems in the real sector of economy. The construction of arithmetic models of problems is carried out. Their optimality criterion is cost minimization for the design of electrical network diagrams consisting of power lines connecting sources and consumers. Examples of designing optimization power layout in mathematical problems considering the transmission capacity of power lines is given. The paper also touches upon a mathematical problem considering possible transit of capacities. The task is to build a mathematical model and solve problems that ensure minimization of process losses and losses of power when designing electrical networks. The results of solving problems are presented in the form of power supply circuits corresponding to the most optimal linking of source and consumer nodes. The work is of a scientific and practical significance as it considers the problem of optimizing economic costs when designing electric power network schemes. Moreover it is based on a qualitatively different level of use of the traffic problem algorithm. The algorithm for solving the minimization problem obtained in this paper allows developing the necessary computing operations as well as quickly obtaining the results of solving the cost optimization problem in the designed electric power network.
Highlights
Various kinds of decision-making problems lead to a variety of optimization tasks
It can be noted that the electric power industry has many alternative ways of development, and the solution of the transportation problem is an essential part of the optimization of activity in the electric power industry [1, 11]
Within the framework of this article we did not try to cover all possible optimization methods when designing power supply systems, we only showed a variety of approaches based on the understanding of the solution of the transportation problem in the field of energy
Summary
Various kinds of decision-making problems lead to a variety of optimization tasks. The goal of solving optimization problems is to find the most suitable option. The general mathematical terminology of the transport problem can be applied to problems in the field of energy. In this case, the product refers to the electrical power supplied from the power source to various consumers via power transmission lines (PTL). The power source can be power plants or electrical substations, the consumers can be industrial, city-wide, agricultural and industrial consumers of electricity. In such tasks, we optimize the costs of the power supply scheme consisting of power transmission lines connecting the energy source nodes with the energy consumer nodes. Let us consider each of the above tasks in detail
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