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Avtomatika i Telemekhanika, 2004, Issue 3, Pages 125–136 (Mi at1548)  
This article is cited in 12 scientific papers (total in 12 papers)

Optimization od Dynamic Systems

Control of power grid development: numerical solutions

D. V. Ivanov, O. V. Khamisov, I. V. Karaulova, E. V. Markova, V. V. Trufanov

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (227 kB) Citations (12)
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Abstract: Consideration was given to the problem of determining the long-term strategies of commissioning and removing the power equipment of a power system. The problem was described in terms of the integral Volterra equations of the first kind. An algorithm to solve it by a special-purpose zero-order optimization method was proposed and realized, and reduction to the linear programming problem was described. Calculations for the Russian Power Grid were presented.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 27.06.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 3, Pages 472–482
DOI: https://doi.org/10.1023/B:AURC.0000019380.88379.d9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Ivanov, O. V. Khamisov, I. V. Karaulova, E. V. Markova, V. V. Trufanov, “Control of power grid development: numerical solutions”, Avtomat. i Telemekh., 2004, no. 3, 125–136; Autom. Remote Control, 65:3 (2004), 472–482
Citation in format AMSBIB
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\jour Avtomat. i Telemekh.
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  • https://www.mathnet.ru/eng/at1548
  • https://www.mathnet.ru/eng/at/y2004/i3/p125
    • This publication is cited in the following 12 articles:
    1. Markova E. Sidler I. Solodusha S., “Integral Models Based on Volterra Equations With Prehistory and Their Applications in Energy”, Mathematics, 9:10 (2021), 1127  crossref  isi
    2. Sidorov D., Tynda A., Muftahov I., Dreglea A., Liu F., “Nonlinear Systems of Volterra Equations With Piecewise Smooth Kernels: Numerical Solution and Application For Power Systems Operation”, Mathematics, 8:8 (2020), 1257  crossref  isi  scopus
    3. Markova E. Sidler I. Trufanov V., “Optimization Problem For the Integral Model of Developing Systems”, J. Oper. Res. Soc. China, 2020  crossref  isi  scopus
    4. Evgeniia Markova, Inna Sidler, Communications in Computer and Information Science, 1090, Mathematical Optimization Theory and Operations Research, 2019, 524  crossref
    5. 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  crossref  isi
    6. E. V. Markova, D. N. Sidorov, “On one integral Volterra model of developing dynamical systems”, Autom. Remote Control, 75:3 (2014), 413–421  mathnet  crossref  isi
    7. Apartsyn A.S., “On Some Classes of Linear Volterra Integral Equations”, Abstract Appl. Anal., 2014, 532409  crossref  mathscinet  isi  elib  scopus
    8. 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  mathnet  crossref  mathscinet  isi
    9. 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  crossref
    10. 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  mathnet  crossref  mathscinet  zmath  isi
    11. I. V. Karaulova, “A two-sector model of developing systems”, Autom. Remote Control, 70:4 (2009), 683–691  mathnet  crossref  mathscinet  zmath  isi
    12. I. V. Karaulova, E. V. Markova, “Optimal control problem of development of an electric power system”, Autom. Remote Control, 69:4 (2008), 637–644  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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