81 citations · 105 across the 11 of their papers we have counts for
12 papers
Numeric solution of systems of nonlinear Volterra integral equations of the first kind with discontinuous kernels
A. N. Tynda, D. N. Sidorov, N. A. Sidorov
The systems of nonlinear Volterra integral equations of the first kind with jump discontinuous kernels are studied. The iterative numerical method for such nonlinear systems is pro…
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…
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…
Application of Volterra Equations to Solve Unit Commitment Problem of Optimised Energy Storage and Generation
Ildar Muftahov, Denis Sidorov, Aleksei Zhukov +4
Development of reliable methods for optimised energy storage and generation is one of the most imminent challenges in moder power systems. In this paper an adaptive approach to loa…
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…
Ensemble Methods of Classification for Power Systems Security Assessment
Alexei Zhukov, Victor Kurbatsky, Nikita Tomin +3
One of the most promising approaches for complex technical systems analysis employs ensemble methods of classification. Ensemble methods enable to build a reliable decision rules f…
Skeleton decomposition of linear operators in the theory of degenerate differential equations
N. Sidorov, D. Sidorov, Y. Li
We suggest method based on the skeleton decomposition of linear operators in order to reduce ill-posed degenerate differential equations to the non-classic initial-value problem en…
Numerical solution of Volterra integral equations of the first kind with discontinuous kernels
Ildar Muftahov, Aleksandr Tynda, Denis Sidorov
We propose the numerical methods for solution of the weakly regular linear and nonlinear evolutionary (Volterra) integral equation of the first kind. The kernels of such equations…
On Perturbation Method for the First Kind Equations: Regularization and Application
Ildar R. Muftahov, Denis N. Sidorov, Nikolai A. Sidorov
One of the most common problems of scientific applications is computation of the derivative of a function specified by possibly noisy or imprecise experimental data. Application of…
Power System Parameters Forecasting Using Hilbert-Huang Transform and Machine Learning
Victor Kurbatsky, Nikita Tomin, Vadim Spiryaev +3
A novel hybrid data-driven approach is developed for forecasting power system parameters with the goal of increasing the efficiency of short-term forecasting studies for non-statio…
Existence and Destruction of Kantorovich Main Continuous Solutions of Nonlinear Integral Equations
Denis N. Sidorov
The sufficient conditions are obtained for existence of the main solution of the nonlinear Volterra integral equation of the second kind on the semi-axis and on a finite interval.…
Volterra Equations of the First kind with Discontinuous Kernels in the Theory of Evolving Systems Control
Denis Sidorov
The Volterra integral equations of the first kind with piecewise smooth kernel are considered. Such equations appear in the theory of optimal control of the evolving systems. The e…