In this study we consider an integral model of the large electric power system development. The model accounts for division of the generating equipment into certain age groups. Each of these groups is characterized by some efficiency coefficient. We consider a vector model with subdivision the equipment of the stations by fuel types. The model includes the balance integral Volterra equation of the first kind with variable upper and lower limits and functional equations, describing the structure of the electricity consumption of different types of power plants.

Based on the developed model, the problem of optimizing the parameters controlling the moments of equipment decommissioning is considered. The paper studies the influence of economic indicators on the solution of the problem of optimal control. All calculations have been made as applied to the Unified Energy System of Russia.

Anatoly S. Apartsyn, Dr. Sci. (Phys.–Math.), Melentiev Energy Systems Institute SB RAS, 130, Lermontov st., Irkutsk, 664033, Russian Federation, tel.: +7(3952)500646 add. 260, e-mail: apartsyn@isem.irk.ru

Evgeniia V. Markova, Cand. Sci. (Phys.–Math.),  Melentiev Energy Systems Institute SB RAS, 130, Lermontov st., Irkutsk, 664033, Russian Federation, tel.: +7(3952)500646 add. 260, e-mail: markova@isem.irk.ru

Inna V. Sidler, Cand. Sci. (Technics), Melentiev Energy Systems Institute SB RAS, 130, Lermontov st., Irkutsk, 664033, Russian Federation, tel.: +7(3952)500646 add. 260, e-mail: krlv@isem.irk.ru

Apartsyn A. S., Markova E. V., Sidler I. V. Influence of Economic Indices on the Solution to the Optimization Problem of the Age Structure of Power Plants Equipment. The Bulletin of Irkutsk State University. Series Mathematics, 2018, vol. 25, pp. 19-32. (in Russian) https://doi.org/10.26516/1997-7670.2018.25.19

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