Abstract:
A problem is considered for the definition of long-term strategies of the placing in service and disassembly of electric powers of an electric power system, which is described with the aid of nonclassical Volterra integral equations of the 1st kind. A problem is stated of the search for optimal terms of service of generating powers that afford the prescribed requirement for electric energy at the minimum of total expenditures, for the placing in service (input) and operation of generating powers. Results are given of the calculation for the United electric power system of Russia.
Presented by the member of Editorial Board:V. N. Bukov
Citation:
I. V. Karaulova, E. V. Markova, “Optimal control problem of development of an electric power system”, Avtomat. i Telemekh., 2008, no. 4, 101–108; Autom. Remote Control, 69:4 (2008), 637–644
\Bibitem{KarMar08}
\by I.~V.~Karaulova, E.~V.~Markova
\paper Optimal control problem of development of an electric power system
\jour Avtomat. i Telemekh.
\yr 2008
\issue 4
\pages 101--108
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\transl
\jour Autom. Remote Control
\yr 2008
\vol 69
\issue 4
\pages 637--644
\crossref{https://doi.org/10.1134/S0005117908040103}
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Linking options:
https://www.mathnet.ru/eng/at641
https://www.mathnet.ru/eng/at/y2008/i4/p101
This publication is cited in the following 10 articles:
Markova E. Sidler I. Solodusha S., “Integral Models Based on Volterra Equations With Prehistory and Their Applications in Energy”, Mathematics, 9:10 (2021), 1127
Markova E. Sidler I. Trufanov V., “Optimization Problem For the Integral Model of Developing Systems”, J. Oper. Res. Soc. China, 2020
Zhiming Zhong, Jie Wang, Chao Hu, Yue Chen, Tianming Huang, Advances in Intelligent Systems and Computing, 905, The 8th International Conference on Computer Engineering and Networks (CENet2018), 2020, 738
Evgeniia Markova, Inna Sidler, Communications in Computer and Information Science, 1090, Mathematical Optimization Theory and Operations Research, 2019, 524
Apartsyn A.S. Markova E.V. Sidler I.V. Trufanov V.V., “Optimization Problem of Equipment Age Structure in the Model of Russia'S Unified Energy System Development”, 2017 International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON), IEEE, 2017, 24–29
E. V. Markova, D. N. Sidorov, “On one integral Volterra model of developing dynamical systems”, Autom. Remote Control, 75:3 (2014), 413–421
A. S. Apartsin, I. V. Sidler, “Using the nonclassical Volterra equations of the first kind to model the developing systems”, Autom. Remote Control, 74:6 (2013), 899–910
E. V. Markova, I. V. Sidler, V. V. Trufanov, “Integral Models of Developing Electric Power Systems”, International Journal of Energy Optimization and Engineering, 2:4 (2013), 44
E. V. Markova, I. V. Sidler, V. V. Trufanov, “On models of developing systems and their applications”, Autom. Remote Control, 72:7 (2011), 1371–1379
I. V. Karaulova, “A two-sector model of developing systems”, Autom. Remote Control, 70:4 (2009), 683–691