Application of Volterra equations to solve load leveling problem

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

Research output: Contribution to conferencePaper

Abstract

Development of reliable methods for optimised energy storage and generation is one of the most imminent challenges in modern power systems. In this paper 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 is proposed. These integral equations efficiently solve such inverse problem taking into account both the time dependent efficiencies and the availability of generation/storage of each energy storage technology.In this analysis a direct numerical method is employed to find the least-cost dispatch of available storages. The proposed collocation type numerical method has 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 optimisation in real time. The efficiency of the proposed methodology is demonstrated on real data. Persepectives of nonlinear volterra models is discussed.
Original languageEnglish
Number of pages6
Publication statusPublished - 04 Oct 2017
Event12th Conference on Sustainable Development of Energy, Water and Environment Systems - Dubrovnik, Croatia
Duration: 04 Oct 201708 Oct 2017

Conference

Conference12th Conference on Sustainable Development of Energy, Water and Environment Systems
Abbreviated titleSDEWES
CountryCroatia
CityDubrovnik
Period04/10/201708/10/2017

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    Sidorov, D., Foley, A., Muftahov, I., Zhukov, A., Panasetsky, D., Li, Y., & Tynda, A. (2017). Application of Volterra equations to solve load leveling problem. Paper presented at 12th Conference on Sustainable Development of Energy, Water and Environment Systems, Dubrovnik, Croatia.