# A Dynamic Analysis of Energy Storage with Renewable and Diesel Generation using Volterra Equations

arXiv: https://arxiv.org/abs/1908.01310 · HTML: https://mlsanity.com/paper/1908.01310/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Aug 2019.

## Built on by (most cited first, 1 of 1)

- [UniFIDES: Universal Fractional Integro-Differential Equation Solvers](https://mlsanity.com/paper/2407.01848/) (2024)

## Abstract (arXiv)

Energy storage systems will play a key role in the power system of the twenty first century considering the large penetrations of variable renewable energy, growth in transport electrification and decentralisation of heating loads. Therefore reliable real time methods to optimise energy storage, demand response and generation are vital for power system operations. This paper presents a concise review of battery energy storage and an example of battery modelling for renewable energy applications and second details an adaptive approach to solve this load levelling problem with storage. A dynamic evolutionary model based on the first kind Volterra integral equation is used in both cases. A direct regularised numerical method is employed to find the least-cost dispatch of the battery in terms of integral equation solution. Validation on real data shows that the proposed evolutionary Volterra model effectively generalises conventional discrete integral model taking into account both state of health and the availability of generation/storage.