Ildar Muftahov

Ildar Muftahov
Melentiev Energy Systems Institute · Applied Maths

PhD

About

26
Publications
3,126
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265
Citations
Introduction
Skills and Expertise

Publications

Publications (26)
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...
Chapter
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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
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
This paper substantiates the use of photovoltaic systems with power generation structure varying throughout the year. This research topic emerged from an in-depth analysis of the operating modes of autonomous photovoltaic systems located in Siberia and the Russian Far East. The paper gives a detailed and concise description of a methodology for mod...
Article
Full-text available
The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that depend on free parameters. The objective of this paper was two-fold. First, the iterative numerical me...
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
The study focuses on present-day energy policies translating into an in-depth integration of renewable energy sources. In this context, of special importance is research related to the analysis of source data, i.e. environmental and climatic indicators. The study also describes the significance of multi-year meteorological data sets for overall ene...
Article
Full-text available
Tourism development in ecologically vulnerable areas like the lake Baikal region in Eastern Siberia is a challenging problem. To this end, the dynamical models of AC/DC hybrid isolated power system consisting of four power grids with renewable generation units and energy storage systems are proposed using the advanced methods based on deep reinforc...
Article
Full-text available
Tourism development in ecologically vulnerable areas like the lake Baikal region in Eastern Siberia is a challenging problem. To this end, the dynamical models of AC/DC hybrid isolated power system consisting of four power grids with renewable generation units and energy storage systems are proposed using the advanced methods based on deep reinforc...
Article
Full-text available
High penetration of renewable energy sources coupled with decentralization of transport and heating loads in future power systems will result even more complex unit commitment problem solution using energy storage system scheduling for efficient load leveling. This paper employees an adaptive approach to load leveling problem using the Volterra int...
Preprint
Full-text available
High penetration of renewable energy sources coupled with the decentralization of transport and heating loads in future power systems will result in even more complex unit commitment problem solution using energy storage system scheduling for efficient load leveling. This paper employees an adaptive approach to load leveling problem using the Volte...
Preprint
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...
Preprint
Full-text available
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 energy storages models do not take into account such important features as the nonlinear dependence of efficiency on lifetime and changes in capacity over time horizon,...
Article
Full-text available
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, suc...
Article
Full-text available
Further growth in renewable energy and planned electrification and decentralization of transport and heating loads in future power systems will result in a more complex unit commitment problem (UCP). This paper proposes an adaptive approach to load leveling problem using novel dynamic models based on the Volterra integral equations of the first kin...
Presentation
Full-text available
В данной работе на основе интегральных динамических моделей предлагается универсальный подход к проблеме рационального использования аккумулирования энергии для разных характеристик аккумуляторных батарей, таких как: КПД, емкость, уровень заряда, ограничения на скорость зарядки и разрядки, максимальное количество циклов разрядки. Предлагаемый подхо...
Article
Full-text available
In this paper we investigate the systems of nonlinear Volterra integral equations of the first kind with kernels having jump discontinuities along the set of smooth curves. The necessary theory concerning the existence and uniqueness of solutions of such systems is described. An iterative numerical method is proposed, based on the linearization of...
Article
Full-text available
The regularization method of linear integral Volterra equations of the first kind is considered. The method is based on the perturbation theory. In order to derive the estimates of approximate solutions and regularizing operator norms we use the Banach-Steinhaus theorem, the concept of stabilising operator, as well as abstract scheme for constructi...
Article
Full-text available
The existence theorem for systems of nonlinear Volterra integral equations kernels of the first kind with piecewise continuous is proved. Such equations model evolving dynamical systems. A numerical method for solving nonlinear Volterra integral equations of the first kind with piecewise continuous kernels is proposed using midpoint quadrature rule...
Article
Full-text available
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 conventional techniques for numerically calculating derivatives will amplify the noise making the result useless. We address this typical ill-posed problem by applicatio...
Article
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 have jump discontinuities along the continuous curves (endogenous delays) which starts at the origin. In order to linearize these equations we use the modified Newton-Kan...
Article
Full-text available
Integral equations are in the core of many mathematical models in physics, economics and ecology. Volterra integral equations of the first kind with jump discontinuous kernels play important role in such models and they are considered in this article. Regularization method and sufficient conditions for existence and uniqueness of the solution of su...
Article
Full-text available
The numerical method for solution of the weakly regular scalar Volterra integral equation of the 1st kind is proposed. The kernels of such equations have jump discontinuities on the continuous curves which starts at the origin. The mid-rectangular quadrature rule is employed. The accuracy of proposed numerical method is $\mathcal{O}(1/N).$

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Projects

Projects (3)
Project
The objective of this project is to get find the approximate solution of weakly regular Volterra integral equations of the first kind with jump discontinuous kernels with noisy input data (source function and kernel), also we plan to derive the optimal iterations number of method, the optimal approximation, optimal error and study the numerical instabilities. Such evolutionary integral equations enjoy non unique solutions and various applications of evolving dynamical systems, many inverse problems are formulated in terms of such equations.
Project
We develop advanced mathematical models to solve unit commitment problem of optimised energy storage & generation