ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2018. Vol. 26

Volterra Equation Based Models for Energy Storage Usage Based on Load Forecast in EPS with Renewable Generation

D. N. Sidorov, A. V. Zhukov, I. R. Muftahov

High penetration of renewable energy under condition of the free electricity market leads to the need of creating new methods for maintaining balance between load and generation, in particular, energy storage usage in modern power systems. However, most of the proposed models of energy storage do not take into account some important parameters, such as the nonlinear dependence of efficiency on life time and changes in capacity over time, the distribution of load between several independent storages and others. In order to solve this problem models based on Volterra integral equations of the first kind with kernels presented in the form of discontinuous functions are proposed. Such models allows to determine the alternating power function at known values of load and generation. However, to effectively solve this problem, an accurate forecast of the electrical load is required, therefore, several forecasting models based on machine learning was exploited. Forecasting models use different kind of features such as average daily temperature, load values with time shift, moving averages and others. In the paper comparison of the forecasting results is provided, including random forest, gradient boosting over the decision trees, the support vector machine, and also multiparameter linear regression. Effectiveness of the proposed forecasting models and storage model is demonstrated on the real data of Germany power system.

About the Authors

Denis N. Sidorov, Dr. Sci. (Phys.–Math.), Prof., Melentiev Energy Systems Institute SB RAS, 130, Lermontov st., Irkutsk, 664033, Russian Federation; Irkutsk National Research Technical University, 83, Lermontov st., Irkutsk, 664074, Russian Federation; Irkutsk State University, 1, K. Marx st., Irkutsk, 664003, Russian Federation, e-mail: dsidorov@isem.irk.ru

Aleksei V. Zhukov, Junior Researcher, Institute of Solar-Terrestrial Physics SB RAS, 126a, Lermontov st., Irkutsk, 664033, Russian Federation, e-mail: zhukovalex13@gmail.com

Ildar R. Muftahov, Programmer, Irkutsk Computing Center of Joint Stock Company “Russian Railways”, 25, Mayakovaskii st., Irkutsk, 664005, Russian Federation; Melentiev Energy Systems Institute SB RAS, 130, Lermontov st., Irkutsk, 664033, Russian Federation, e-mail: ildar_sm@mail.ru

For citation

Sidorov D.N., Zhukov A.V., Muftahov I.R. Volterra Equation Based Models for Energy Storage Usage Based on Load Forecast in EPS with Renewable Generation. The Bulletin of Irkutsk State University. Series Mathematics, 2018, vol. 26, pp. 76-90. (in Russian) https://doi.org/10.26516/1997-7670.2018.26.76

Volterra equation, machine learning, forecasting, electric power systems, energy storage
45D05, 68T05
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