output
20132020
most citedA Dynamic Analysis of Energy Storage with Renewable and Diesel Generation using Volterra Equations

81 citations

9 papers

math.DS2020★ 1 cited

Inversion formulas and their finite-dimensional analogs for multidimensional Volterra equations of the first kind

Svetlana Solodusha, Ekaterina Antipina

The paper focuses on solving one class of Volterra equations of the first kind, which is characterized by the variability of all integration limits. These equations were introduced…

math.NA2019★ 81 cited

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

Denis Sidorov, Ildar Muftahov, Nikita Tomin +5

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 ele…

eess.SP2019★ 2 cited

Energy balancing using charge/discharge storages control and load forecasts in a renewable-energy-based grids

Denis Sidorov, Qing Tao, Ildar Muftahov +4

Renewable-energy-based grids development needs new methods to maintain the balance between the load and generation using the efficient energy storages models. Most of the available…

math.NA2018★ 30 cited

Control of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method

Samad Noeiaghdam, Denis Sidorov, Valery Sizikov

Finding the optimal parameters and functions of iterative methods is among the main problems of the Numerical Analysis. For this aim, a technique of the stochastic arithmetic (SA)…

cs.CY2018★ 3 cited

The Concept of the Deep Learning-Based System "Artificial Dispatcher" to Power System Control and Dispatch

Nikita Tomin, Victor Kurbatsky, Michael Negnevitsky

Year by year control of normal and emergency conditions of up-to-date power systems becomes an increasingly complicated problem. With the increasing complexity the existing control…

math.NA2016

A numerical solution of one class of Volterra integral equations of the first kind in terms of the machine arithmetic features

Svetlana V. Solodusha, Igor V. Mokry

The research is devoted to a numerical solution of the Volterra equations of the first kind that were obtained using the Laplace integral transforms for solving the equation of hea…

cs.AI2016★ 10 cited

Random Forest Based Approach for Concept Drift Handling

A. Zhukov, D. Sidorov, A. Foley

Concept drift has potential in smart grid analysis because the socio-economic behaviour of consumers is not governed by the laws of physics. Likewise there are also applications in…

math.NA2014★ 4 cited

Numerical solution of the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction

Svetlana V. Solodusha, Natalia M. Yaparova

The paper considers the integral Volterra equations of the first kind which are related to the inverse boundary-value heat conduction problem. The algorithms have been developed to…

math.DS2013★ 4 cited

Modeling of Nonlinear Dynamic Systems with Volterra Polynomials: Elements of Theory and Applications

A. S. Apartsyn, S. V. Solodusha, V. A. Spiryaev

The paper presents a review of the studies that were conducted at Energy Systems Institute (ESI) SB RAS in the field of mathematical modeling of nonlinear input-output dynamic syst…