Volterra models in load leveling problem

Denis Sidorov, Alexey Zhukov*, Aoife Foley, Aleksandr Tynda, Ildar Muftahov, Daniil Panasetsky, Yong Li

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)
105 Downloads (Pure)


Further growth in renewable energy and planned electrification and decentralization of transport and heating loads in future power systems will result in a more complex unit commitment problem (UCP). This paper proposes an adaptive approach to load leveling problem using novel dynamic models based on the Volterra integral equations of the first kind with piecewise continuous kernels. This approach employs a direct numerical method. The considered collocation-type numerical method has the second-order accuracy and enjoys self-regularization properties, which is associated with confidence levels of system demand. This adaptive approach is suitable for energy storage optimization in real time. The efficiency of the proposed methodology is demonstrated on the Single Electricity Market of the Island of Ireland.

Original languageEnglish
Title of host publicationInternational Conference Green Energy and Smart Grids: Proceedings
Publication statusPublished - 27 Nov 2018
Event2018 International Conference Green Energy and Smart Grids, GESG 2018 - Irkutsk, Cape Hadartha, Russian Federation
Duration: 27 Jul 201802 Aug 2018

Publication series

NameEPJ Web of Conferences
PublisherEDP Sciences
ISSN (Print)2100-014X


Conference2018 International Conference Green Energy and Smart Grids, GESG 2018
Country/TerritoryRussian Federation
CityIrkutsk, Cape Hadartha

ASJC Scopus subject areas

  • Environmental Science(all)
  • Energy(all)
  • Earth and Planetary Sciences(all)


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