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Denis Nikolai Sidorov

Denis Nikolai Sidorov
Energy Systems Institute of Russian Academy of Sciences

PhD, DSc (Math & Physics)
group website: compvis.ru

About

256
Publications
42,643
Reads
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2,973
Citations
Introduction
Denis Sidorov is Professor of Russian Academy of Sciences at the Energy Systems Institute and Chair Professor of Harbin Institute of Technology. Denis does research in power engineering, inverse problems, analysis, applied mathematics, image processing and leads the Industrial Maths Lab at Baikal School of BRICS of Irkutsk National Research Technical Univ.
Additional affiliations
November 2002 - December 2002
Tampere University
Position
  • Visiting Researcher
Description
  • Conducting research on inverse problems.
September 2017 - May 2022
Institute of Solar-Terrestrial Physics, Russian Academy of Sciences
Position
  • Senior Researcher
Description
  • Conducting and supervising the RSF project on development of a system for collecting, processing and machine analysis of large volumes of data from global navigation satellite systems for near-Earth space exploration.
March 2022 - present
Skolkovo Institute of Science and Technology
Position
  • Research Scientist
Description
  • Conducting and supervising the collaborative Russia-India research project UNIFY (solUtions for clean energy iNtegration in power grids with Improved FlexibilitY).

Publications

Publications (256)
Article
In this paper we focus on the detection of moiré patterns, which may appear during film-to-video transfer using Telecine devices. A model of moiré distortion is created and studied. A new suppression algorithm using the spectral model is presented and applied for real video sequences. The non-linear filter is based on analysis of the magnitude of t...
Book
Full-text available
This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations. It may be used as an advanced textbook by postgraduate students to study integral dynamical models and their applications in machine learning, electrical and electronic engineering, operations research and image analy...
Article
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 sy...
Article
Full-text available
This paper proposes an optimal day-ahead optimization schedule for gas-electric integrated energy system (IES) considering the bi-directional energy flow. The hourly topology of electric power system (EPS), natural gas system (NGS), energy hubs (EH) integrated power to gas (P2G) unit, are modeled to minimize the day-ahead operation cost of IES. The...
Article
Wind power generation combined with energy storage is able to maintain energy balance and realize stable operation. This article proposes a data-driven energy storage management strategy considering the prediction intervals of wind power. Firstly, a power interval prediction model is established based on long-short term memory and lower and upper b...
Article
Full-text available
Nonlinear differential equations and systems play a crucial role in modeling systems where time-dependent factors exhibit nonlinear characteristics. Due to their nonlinear nature, solving such systems often presents significant difficulties and challenges. In this study, we propose a method utilizing Physics-Informed Neural Networks (PINNs) to solv...
Book
Full-text available
Save for later  Tools  Share  Recommend ISBN: 978-981-98-0168-8 (hardcover) USD 78.00 Description Authors This book presents an overview of the most recent research and results in the eld of approximation and regularisation methods for operator-functional equations, and explores their applications in electrical and power engineering. It presents...
Preprint
Full-text available
Nonlinear differential equations and systems play a crucial role in modeling systems where time-dependent factors exhibit nonlinear characteristics. Due to their nonlinear nature, solving such systems often presents significant difficulties and challenges. In this study, we propose a method utilizing Physics-Informed Neural Networks (PINNs) to solv...
Article
Full-text available
To monitor temperature as a function of varying inductance and resistance, we propose a data-driven digital twin approach for the rapid and efficient real-time estimation of the rotor temperature in an induction motor. By integrating differential equations with online signal processing, the proposed data-driven digital twin approach is structured i...
Article
Full-text available
The objective of the present exploration is to examine impactions of radiation, a non-uniform intensity source, and a permeable medium on a temperamental MHD blended convective micropolar liquid over an extended sheet subject to Joule heating. To transform the formulated problem into ordinary differential equations, the applicable similarity transf...
Preprint
Full-text available
This paper describes a simplified model of an electric circuit with a DC-DC converter and a PID-regulator as a system of integral differential equations with an identically singular matrix multiplying the higher derivative of the desired vector-function. We use theoretical results on integral and differential equations and their systems to prove so...
Preprint
Full-text available
The method for controlling a DC-DC converter is proposed to ensures the high quality control at large fluctuations in load currents by using differential gain control coefficients and second derivative control. Various implementations of balancing the currents of a multiphase DC-DC converter are discussed, with a focus on achieving accurate current...
Article
This paper aims to establish a comprehensive photovoltaic power generation prediction model. By collecting photovoltaic power generation data and weather data for a year, we analyzed the photovoltaic output characteristics in different seasons and found that the output characteristics in different seasons are also different. This article uses three...
Article
Full-text available
The Volterra integral-functional series is the classic approach for nonlinear black box dynamical system modeling. It is widely employed in many domains including radiophysics, aerodynamics, electronic and electrical engineering and many others. Identifying the time-varying functional parameters, also known as Volterra kernels, poses a difficulty d...
Article
Full-text available
The article analyzes the development of methods for modeling and control of multi-energy microgrids through cyber-physical systems. We used the methods of literature review and meta-analysis based on publications from international databases Scopus and Web of Science, Russian database eLibrary, digital platform IEEE Xplore et al. According to the a...
Article
This research focuses on addressing both linear and nonlinear fuzzy Volterra integral equations that feature piecewise continuous kernels. The problem is tackled using the method of successive approximations. The study discusses the existence and uniqueness of solutions for these fuzzy Volterra integral equations with piecewise kernels. Numerical r...
Article
As the new generation of power systems, cyber-physical power systems (CPPSs) become more intelligent and convenient with the application of communication networks. However, the existence of time delays and cyber attacks brings challenges to the control of the system. In this article, the load frequency control (LFC) problem in the CPPS under false...
Article
Full-text available
Over the past few years, there have been significant advancements in Microgrid (MG) systems, particularly in the field of power electronics. These advancements aim to address the needs of the grid and loads, while integrating low-voltage, non-linear, and highly sensitive power sources, such as solar PV modules, batteries, and supercapacitors. It is...
Article
Full-text available
The theory of linear Fredholm integral-functional equations of the second kind with linear functionals and a parameter is considered. The necessary and sufficient conditions are obtained for the coefficients of the equation and those parameter values in the neighbourhood of which the equation has solutions. The leading terms of the asymptotics of t...
Article
Full-text available
In this study we consider linear and nonlinear Volterra integral equations (VIEs) of the second kind with discontinuous kernel. A novel iterative method using floating point arithmetic (FPA) is presented to solve the problem. Also a convergence theorem and error analysis of the method are presented. The main novelty of this study is to validate the...
Preprint
Full-text available
The theory of linear Fredholm integral-functional equations of the second kind with linear functionals and with a parameter is considered. The necessary and sufficient conditions are obtained for the coefficients of the equation and those parameter values, in the nighbohood of which the equation has solutions. The leading terms of the asymptotics o...
Article
Full-text available
The concept of cyber-physical systems (CPSs) in electrical, civil and mechanical engineering is closely related to Smart Grids and Smart Cities, based on advanced computing technologies used for monitoring, control and communication [...]
Poster
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Dear Colleagues, A series of applications of the Lyapunov-Schmidt method, Conley index theory, and the central manifold methods in the conditions of group symmetry were reported in many seminal works in recent decades. Various critical processes in plasma physics, fluid dynamics, and thermodynamics are modeled using the branching theory of nonlinea...
Article
Full-text available
In the case of microgrid (MG) systems, the choice of the right configuration plays a vital role to meet grid/load necessities when integrating low voltage, non-linear and highly sensitive (to environmental conditions) power sources such as solar PV modules, batteries and supercapacitors (SCs), etc. In the case of MG systems, the choice of the right...
Article
Complicated construction of Lyapunov–Krasovskii functional (LKF) makes the quadratic correlation terms of time-delay appear in its derivative. This paper proposes two relaxed negative-determination lemmas to deduce the negative definite condition of a quadratic function with respect to a time-varying delay, which contain some popularly lemmas as th...
Article
The stability and stabilization problems for T-S fuzzy systems (TSFS) with a periodic variable delay are analyzed in this paper. Firstly, an improved delay-dependent reciprocally convex inequality (RCI) is presented to deal with the periodic variable delay, which contains some existing results. Secondly, according to the monotonicity of the delay i...
Article
Full-text available
The objective of this paper was to present a new inverse problem statement and numerical method for the Volterra integral equations with piecewise continuous kernels. For such Volterra integral equations of the first kind, it is assumed that kernel discontinuity curves are the desired ones, but the rest of the information is known. The resulting in...
Article
In order to alleviate the energy crisis and improve the energy utilization rate, the integrated energy system (IES) has become an important way of energy utilization. IES integrates electricity, natural gas, heating and cooling energy supply. Accurate energy load forecasting is essential, which has a significant impact on the economic scheduling an...
Article
The stability and stabilization problems of a class of Takagi-Sugeno(T-S) fuzzy systems with time-varying delay are concerned in this paper. By introducing the tunable parameter l, a novel quadratic polynomial inequality is proposed to reduce the estimation gap with previous work. Sequentially, an appropriate Lyapunov-Krasovskii functional(LKF) con...
Article
The energy communities based on the integration of microgrids make it possible to gain economic, environmental, technical, and social benefits. The paper aims to propose a unified multi-criteria approach covering both the planning stage and the stage of managing the energy community, in the context of various interests of its participants. Planning...
Article
Full-text available
The purpose of the study presented in the article was to develop a method for the formation of digital twins for distributed generation plants operating as part of cyber–physical power supply systems. A method of forming a digital twin for a system for automatic regulation of the voltage and rotor speed of a synchronous generator is considered. The...
Article
Full-text available
The Cauchy problem for a nonlinear system of differential equations with a Stieltjes integral (loads) of the desired solution is considered. The equation contains bifurcation parameters where the system has a trivial solution for any values. The necessary and sufficient conditions are derived for those parameter values (bifurcation points) in the n...
Article
Full-text available
This editorial overviews the contents of the Special Issue “Machine Learning for Energy Systems 2021” and review the trends in machine learning (ML) techniques for energy system (ES) optimization [...]
Article
Full-text available
This paper aims to develop a method for determining margins of static aperiodic stability for electric power systems equipped with distributed generation plants. To this end, we used generalized equations of limiting modes in a stochastic formulation. Computer simulation showed that the developed methodology can be used in solving problems of opera...
Conference Paper
The auroral oval is a region of footprints where configuration of the Earth’s magnetic field lines is such as energetic particles could penetrate into the denser part of the ionosphere. The auroral oval features the most complex ionospheric processes. In this region intensive small-scale ionospheric irregularities exist during calm and disturbed ge...
Article
Full-text available
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gausstype quadrature formula is used to approximate integrals during the discretization of the proposed projection method. The estimate of accuracy of approximate solution is obtained. Sto...
Article
In this research, an efficient scheme is presented to validate the numerical results and solve the second kind integral equations (IEs). For this reason the homotopy perturbation method (HPM) is illustrated and the stochastic arithmetic is applied to implement the CESTAC¹ method for solving IEs. The accuracy of method is shown by proving a main the...
Article
Full-text available
The nonlinear Volterra integral equations with loads on the desired solution are studied. Loads are given using the Stieltjes integrals. The equations contain a parameter, for any value of which the equation has a trivial solution. The necessary and sufficient conditions on the values of the parameter are derived in the neighborhood where theequati...
Chapter
In this chapter, the mathematical model of HIV infection for CD8+T cells is illustrated. At first, we will start modelizing the mentioned phenomenon in the fractional form using the Caputo-Fabrizio fractional derivative. After that the existence of solution using the Picard-Lindelof approach and the Banach fixed point theorem is studied and the fix...
Article
The article provides an overview of the application of multi-agent control, provides a classification of multi-agent system architectures, and analyzes existing methods for constructing the structure of multi-agent control in the electric power industry. A method for constructing an optimal structure of multi-agent optimal control is proposed. A fi...
Article
Full-text available
In this paper, we consider a class of quasilinear third-order differential equations with a delay argument. We establish some conditions of such certain third-order quasi-linear neutral differential equation as oscillatory or almost oscillatory. Those criteria improve, complement and simplify a number of existing results in the literature. Some exa...
Article
Full-text available
The efficient construction and employment of block operators are vital for contemporary computing, playing an essential role in various applications. In this paper, we prove a generalisation of the Frobenius formula in the setting of the theory of block operators on normed spaces. A system of linear equations with the block operator acting in Banac...
Preprint
Full-text available
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrature formula is used to approximate integrals during the discretisation of the proposed projection method. The estimate of accuracy of approximate solution is obtained. St...
Article
High quality interval prediction is helpful to accurately capture the uncertainty of wind power generation and provide comprehensive support to grid dispatchers and operators. As an effective and reliable prediction interval (PI construction framework, lower upper bound estimation (LUBE is gradually used in forecasting tasks. However, there are few...
Article
Full-text available
The aim of this study is to apply a novel technique to control the accuracy and error of the Adomian decomposition method (ADM) for solving nonlinear shallow water wave equation. The ADM is among semi-analytical and powerful methods for solving many mathematical and engineering problems. We apply the Controle et Estimation Stochastique des Arrondis...
Book
Full-text available
Linear and non-linear integral equations of the first and second kinds have many applications in engineering and real life problems. Thus, we try to find efficient and accurate methods to solve these problems. The aim of this editorial is to overview the content of the Special Issue “Integral Equations: Theories, Approximations and Applications”. T...
Article
Full-text available
This study is connected with the nonoscillatory and oscillatory behaviour to the solutions of nonlinear neutral impulsive systems with forcing term which is studied for various ranges of of the neutral coefficient. Furthermore, sufficient conditions are obtained for the existence of positive bounded solutions of the impulsive system. The mentioned...
Article
Energy communities is a new, but already successful prosumer model of the local energy systems' construction. It is based on distributed energy sources and the electricity consumers’ flexibility who are the members of the community. In search of the most effective ways to interact within themselves and with the external energy system, local energy...
Article
The auroral oval is a region of footprints of the Earth's magnetic field lines associated with high energy plasma. The high energetic charged particles penetrate into the atmosphere in this region producing irregularities. The oval origin irregularities affect the radio wave propagation degrading radio system operation. For scientific and technical...
Article
Full-text available
At present, the entire world is moving towards digitalization, including in the electric power industry. Digitalization is in its heyday and a lot of articles and reports are devoted to this topic. At the same time, the least digitalized of the electrical networks are distribution networks that account for a very large share in electric power syste...
Chapter
Full-text available
The aim of this study, is to present the fractional model of energy supply-demand system (ES-DS) based on the Caputo-Fabrizio derivative. The existence and uniqueness of the solution of the fractional model of ES-DS are proved. Also, we know that the obtained results from mathematical models with fractional order are more accurate than usual models...
Research Proposal
Full-text available
Dear Colleagues, we invite you to submit a research paper in the area of integral equations to this Special Issue, entitled "Contemporary Methods and Applications of Integral Equations", of the journal Symmetry. We seek studies on new and innovative approaches to exactly or approximately solving the first and second kinds of integral equations in l...
Article
Full-text available
The aim of this editorial is to overview the content of the special issue “Integral Equations: Theories, Approximations and Applications”. https://www.mdpi.com/journal/symmetry/special_issues/Integral_Equations_Theories_Applications_Approximations
Research Proposal
Full-text available
Dear friends, researchers and colleagues, It is a matter of great pleasure to invite you to submit your high quality research papers in our special issue in Symmetry (ISI, Scopus, Q2, IF: 2.645) on topic of "Integral Equations: Theories, Approximation and Applications". Deadline: 30 June 2021 https://www.mdpi.com/journal/symmetry/special_issues/I...
Conference Paper
Full-text available
Lake Baikal conservation as UNESCO World Heritage property, national and international environmental laws dictate specific requirements and rules for the operation of energy facilities in the specially protected areas of Lake Baikal. Such restrictions have given particular strength to penetration of the renewables and storage systems. This article...
Article
Full-text available
Volterra integral equations find their application in many areas, including mathematical physics, control theory, mechanics, electrical engineering, and in various industries. In particular, dynamic Volterra models with discontinuous kernels are effectively used in power engineering to determine the operating modes of energy storage devices, as wel...
Article
Full-text available
In this paper, the nonlinear shallow water wave equation is illustrated. The famous semi-analytical method, homotopy analysis method (HAM) is applied for solving this equation. The main novelty, of this study is to validate the numerical results using the stochastic arithmetic, the CESTAC method and the CADNA library. Based on this method, we can f...
Research Proposal
Full-text available
We are inviting submissions to the Mathematics Special Issue on "Model Predictive Control and Optimization for Cyberphysical Systems". Complex systems such as multi-energy microgrids or shipboard systems require effective coordination of the functioning of a whole set of independent spatially distributed devices and digital twins in conditions of l...
Chapter
Full-text available
The article deals with integrated power systems with renewable sources of generation in the settlements of Lake Baikal. The analysis of natural and climatic features in relation to the wind potential of the specified area is carried out. The construction of wind forecast using machine learning algorithms is considered. Global NWP forecast and machi...
Article
Full-text available
The aim of this paper is to present a new method and the tool to validate the numerical results of the Volterra integral equation with discontinuous kernels in linear and non-linear forms obtained from the Adomian decomposition method. Because of disadvantages of the traditional absolute error to show the accuracy of the mathematical methods which...
Article
Full-text available
Volterra integral equations find their application in many areas, including mathematical physics, control theory, mechanics, electrical engineering, and in various industries. In particular, dynamic Volterra models with discontinuous kernels are effectively used in power engineering to determine the operating modes of energy storage devices, as wel...
Article
Full-text available
The paper presents a multiaspect analysis of multivalues and the broadband nature of system oscillation. By analysing the ambient signal caused by random small disturbances during the normal operation of interconnected power grids, many system operation characteristics can be obtained. The traditional signal processing method cannot extract the inf...
Chapter
This chapter gives the brief introduction to the management of energy in smart grids focusing on the hybrid renewable energy systems, load and generation forecasting, new grids structure, and smart technologies. The classification of smart infrastructure systems and smart energy management systems is provided and discussed with focus on both demand...
Chapter
Future urban energy systems planning, incorporates various interconnected components including smart grids, electric vehicles, renewable energy sources, heating, and cooling systems. This chapter is the brief introduction to the data-driven energy system with special focus on methods and algorithms for hedging against the ever-increasing uncertaint...
Research Proposal
Full-text available
We are inviting submissions to the Energies Special Issue on “Machine Learning for Energy Systems 2021”. Original submissions focusing on theoretical and practical issues related to the theory and applications of Machine Learning, including novel optimization and operations research methods and their applications, design techniques and methodologie...
Article
Full-text available
The aim of this study is to present a novel method to find the optimal solution of the reverse osmosis (RO) system. We apply the Sinc integration rule with single exponential (SE) and double exponential (DE) decays to find the approximate solution of the RO. Moreover, we introduce the stochastic arithmetic (SA), the CESTAC method (Controle et Estim...