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.
|Number of pages||6|
|Publication status||Published - 04 Oct 2017|
|Event||12th Conference on Sustainable Development of Energy, Water and Environment Systems - Dubrovnik, Croatia|
Duration: 04 Oct 2017 → 08 Oct 2017
|Conference||12th Conference on Sustainable Development of Energy, Water and Environment Systems|
|Period||04/10/2017 → 08/10/2017|
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.