IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i10p1127-d555619.html
   My bibliography  Save this article

Integral Models Based on Volterra Equations with Prehistory and Their Applications in Energy

Author

Listed:
  • Evgeniia Markova

    (Melentiev Energy Systems Institute, Siberian Branch of Russian Academy of Sciences, 664033 Irkutsk, Russia)

  • Inna Sidler

    (Melentiev Energy Systems Institute, Siberian Branch of Russian Academy of Sciences, 664033 Irkutsk, Russia)

  • Svetlana Solodusha

    (Melentiev Energy Systems Institute, Siberian Branch of Russian Academy of Sciences, 664033 Irkutsk, Russia)

Abstract

The paper addresses the application of Volterra integral equations of the first kind for modeling dynamic power systems. We study the problem of forecasting the commissioning of capacities of the electric power system, taking into account various hypotheses about the dynamics of equipment aging, and the known prehistory. The numerical results of the application of two models to the problem of the development of a large electric power system using the example of the Unified Energy System of Russia are presented. Theoretical results were formulated for a two-dimensional Volterra integral equation of the first kind with variable limits of integration. This class of equations arises when solving the actual problem of identifying variable characteristics of a nonlinear dynamic system of the “input-output” type.

Suggested Citation

  • Evgeniia Markova & Inna Sidler & Svetlana Solodusha, 2021. "Integral Models Based on Volterra Equations with Prehistory and Their Applications in Energy," Mathematics, MDPI, vol. 9(10), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1127-:d:555619
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/10/1127/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/10/1127/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Schwarz, Hans-Gunter, 2005. "Modernisation of existing and new construction of power plants in Germany: results of an optimisation model," Energy Economics, Elsevier, vol. 27(1), pages 113-137, January.
    2. E. V. Markova & I. V. Sidler & V. V. Trufanov, 2013. "Integral Models of Developing Electric Power Systems," International Journal of Energy Optimization and Engineering (IJEOE), IGI Global, vol. 2(4), pages 44-58, October.
    3. Kler, Aleksandr M. & Zharkov, Pavel V. & Epishkin, Nikolai O., 2019. "Parametric optimization of supercritical power plants using gradient methods," Energy, Elsevier, vol. 189(C).
    4. Anatoly S. Apartsyn, 2014. "On Some Classes of Linear Volterra Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pranav Nair & Vinay Vakharia & Himanshu Borade & Milind Shah & Vishal Wankhede, 2023. "Predicting Li-Ion Battery Remaining Useful Life: An XDFM-Driven Approach with Explainable AI," Energies, MDPI, vol. 16(15), pages 1-19, July.
    2. Mokhtar Aly & Emad A. Mohamed & Abdullah M. Noman & Emad M. Ahmed & Fayez F. M. El-Sousy & Masayuki Watanabe, 2023. "Optimized Non-Integer Load Frequency Control Scheme for Interconnected Microgrids in Remote Areas with High Renewable Energy and Electric Vehicle Penetrations," Mathematics, MDPI, vol. 11(9), pages 1-31, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Igor Donskoy, 2023. "Techno-Economic Efficiency Estimation of Promising Integrated Oxyfuel Gasification Combined-Cycle Power Plants with Carbon Capture," Clean Technol., MDPI, vol. 5(1), pages 1-18, February.
    2. Meshari Alsharari & Ammar Armghan & Khaled Aliqab, 2023. "Numerical Analysis and Parametric Optimization of T-Shaped Symmetrical Metasurface with Broad Bandwidth for Solar Absorber Application Based on Graphene Material," Mathematics, MDPI, vol. 11(4), pages 1-15, February.
    3. repec:dui:wpaper:1305 is not listed on IDEAS
    4. Braimakis, Konstantinos & Magiri-Skouloudi, Despina & Grimekis, Dimitrios & Karellas, Sotirios, 2020. "Εnergy-exergy analysis of ultra-supercritical biomass-fuelled steam power plants for industrial CHP, district heating and cooling," Renewable Energy, Elsevier, vol. 154(C), pages 252-269.
    5. Henning, Dag & Trygg, Louise, 2008. "Reduction of electricity use in Swedish industry and its impact on national power supply and European CO2 emissions," Energy Policy, Elsevier, vol. 36(7), pages 2330-2350, July.
    6. Opriș, Ioana & Cenușă, Victor-Eduard, 2023. "Parametric and heuristic optimization of multiple schemes with double-reheat ultra-supercritical steam power plants," Energy, Elsevier, vol. 266(C).
    7. Kler, Aleksandr M. & Potanina, Yulia M. & Marinchenko, Andrey Y., 2020. "Co-optimization of thermal power plant flowchart, thermodynamic cycle parameters, and design parameters of components," Energy, Elsevier, vol. 193(C).
    8. Melchior, Tobias & Madlener, Reinhard, 2012. "Economic evaluation of IGCC plants with hot gas cleaning," Applied Energy, Elsevier, vol. 97(C), pages 170-184.
    9. Khaled Aliqab & Bo Bo Han & Ammar Armghan & Meshari Alsharari & Jaymit Surve & Shobhit K. Patel, 2023. "Numerical Analysis and Structure Optimization of Concentric GST Ring Resonator Mounted over SiO 2 Substrate and Cr Ground Layer," Mathematics, MDPI, vol. 11(5), pages 1-17, March.
    10. Richard A. Bradley, 2012. "Energy and Climate Change Policy: Perspectives from the International Energy Agency," Chapters, in: Chin Hee Hahn & Sang-Hyop Lee & Kyoung-Soo Yoon (ed.), Responding to Climate Change, chapter 4, Edward Elgar Publishing.
    11. Fan, Lin & Hobbs, Benjamin F. & Norman, Catherine S., 2010. "Risk aversion and CO2 regulatory uncertainty in power generation investment: Policy and modeling implications," Journal of Environmental Economics and Management, Elsevier, vol. 60(3), pages 193-208, November.
    12. den Elzen, Michel & Höhne, Niklas & Moltmann, Sara, 2008. "The Triptych approach revisited: A staged sectoral approach for climate mitigation," Energy Policy, Elsevier, vol. 36(3), pages 1107-1124, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1127-:d:555619. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.