AGGREGATIVE-DECOMPOSITION APPROACH FOR OPTIMAL CONTROL OF A HIERARCHICAL ERGATIC ELECTRIC POWER SYSTEM

Authors

  • O. Y. Churina National Aviation University, Kyiv

DOI:

https://doi.org/10.18372/1990-5548.66.15229

Keywords:

Electric power system, mathematical programming

Abstract

This article discusses the optimization problems of energy associated with the optimal management of a complex ergatic electric power system. The search for solutions to these problems is proposed to be carried out on the basis of extremization of the target functional specified using the statistical model. In order to analyze the control process of a complex ergatic electric power system, it is proposed to apply the aggregative - decomposition approach, according to which models of complex power supply systems are described by compositions of interconnected units. When searching for a solution to the optimization problem of controlling a complex electric power system, it is proposed to apply the method of stochastic programming, as well as the method of stochastic quasigradients. From the point of view of the object-oriented approach, it is proposed to consider complex ergatic electric power systems as a class of multi-level multi-purpose systems, which are the subject of cybernetics research. Moreover, the adequacy of algorithmic models for managing these systems is ensured by the implementation of compromise methods. To implement control functions at the highest hierarchical levels of complex electric power systems, it is proposed to create aggregated models of these systems using the descriptive aggregation procedure. The principles of coordination of mathematical programming problems of electric power systems are also considered, according to which local admissibility and consistency predetermines global admissibility.

Author Biography

O. Y. Churina, National Aviation University, Kyiv

Aerospace Faculty

Candidate of Science (Engineering). Associate Professor

References

U. M. Snapelev and V. A. Staroselsky, Modeling and control in complex systems. Moscow, Sov. Radio, 1974, 264 p. (in Russian)

U. P. Zajchenko, Operations Research: A Tutorial. 4th edition., rework. and add. Kyiv, 2000, 688 p. (in Ukrainian)

G. S. Pospelov, V. L. Ven, V. M. Solodov, and others. Problems of program – target planning and management. Ed. G. S. Pospelov. Мoscow: Science, 1981, 464 p. (in Russian)

M. Mesarovich, D. Mako, and I. Takahara, The theory of hierarchical multilevel systems. Мoscow: Peace, 1973, 344 p. (in Russian)

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Issue

Vol. 4 No. 66 (2020)

Section

AUTOMATION AND COMPUTER-INTEGRATED TECHNOLOGIES

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