Abstract
The problem of substantiation of developing complex distribution systems of electric power supply was considered as a hierarchy of problems at the first stage of which the problem of choosing a rational configuration of the power system was solved. A mathematical model of solution of the problem of optimal placement of several power sources in the power supply system and assigning to them consumers using genetic programming algorithms was developed. The proposed methods make it possible to obtain optimal routes of transmission lines connecting consumers with power sources taking into account the terrain restrictions.A modification of a simple genetic algorithm based on which an information system was implemented was developed. This system solves the problem of combinatorial optimization with respect to the choice of optimal location of power sources in a distributed electrical network.Calculation time was estimated depending on the problem parameters. It was shown that the developed algorithm provides minimum computation time for problems of small and medium dimensionality. The results of solution of the problem for a concrete example demonstrate advantage of the genetic approach over the method of full enumeration. The results obtained can be successfully applied to solve the problem of optimizing placement of power sources in a distributed electrical network
Highlights
The problem of integration of distributed generation (DG) sources has recently become increasingly urgent
When testing the heuristic algorithm of optimal assigning consumers to the power source (PS), the following tendency was observed: it is impossible to choose value of the total power of the PSs as close as possible to the total power consumed by consumers
It was proposed to solve the problem of choosing configuration of the electrical network by genetic programming methods and at the same time assign consumers to the selected transformer substations (TS)
Summary
The problem of integration of distributed generation (DG) sources has recently become increasingly urgent. A need appears to develop new mathematical models and methods for solving problems taking into account restrictions imposed by uneven distribution of electrical loads and arbitrary configuration of the territory for which the power supply system is designed. Because of complexity of the problems set to substantiate rational configuration of electric power systems, many problems have not been considered in details and solved They include a problem of optimal placement of a single power source (PS) taking into account arbitrary terrain restrictions in the case of radial electrical nets and a problem of optimal assigning consumers to several PSs. there is a problem of optimal placement of several PSs of different standard sizes and simultaneous assigning consumers to these PSs and a problem of connecting several transformer substations (TS) to a loop-structured circuit. What follows is consideration and solution of the actual problem of optimizing placement of power sources, choice in the first approximation of rational configuration of electrical networks using genetic programming methods and simultaneous assigning consumers to selected TSs [1]
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