


No 2 (2024)
Articles
Automation of Computations in Designing an Integrated Energy System Based on Its Digital Twin
Abstract
The construction of integrated energy systems (IESs) based on traditional energy systems operating separately provides higher efficiency and reliability of energy supply to consumers. However, IESs are complex structures to design. A digital twin is a tool that allows you to combine all the tools necessary for design in a single information space. Software tools that implement the digital twin of IESs require high computational flexibility, which is due to the need to simulate a variety of equipment and involve a wide range of methods and mathematical models. Automating the construction process of a computing subsystem is a highly efficient solution for overcoming the challenges mentioned above. This paper proposes a methodological approach to automating the construction of the computing subsystem of the digital twin of an IES. The proposed approach involves using modern metaprogramming tools on a software platform to perform automated construction. During construction, the Model-Driven Engineering concept is implemented and knowledge formalized in the form of ontologies is used. The digital twin, obtained as a result of the practical application of the proposed methodological approach, enables computer and mathematical modeling of an IES in virtual space, with exploration of various configurations of its construction.



Analysis of the Possibilities of Energy Supply to Consumers in Cold Conditions During Large-Scale Emergency Installations in the Gas Industry
Abstract
The article presents the main components of the methodological approach to the analysis of the possibilities of supplying final types of energy to consumers in the event of a loss of performance of critical facilities of the Russian gas industry in conditions of cooling in the territories of the federal districts. The principle of choosing a territorial section for analyzing the situation with a simultaneous increase in demand for fuel and energy resources is described. An algorithm for conducting research is given. Research is carried out by modeling the work of the country’s fuel and energy complex during the period of the average day of January in the conditions of a peak-increasing demand for thermal energy in the territories of federal districts. At the same time, the cooling is modeled in turn for each of the federal districts in the zone of operation of the Unified Gas Supply System of Russia. An analysis of the possibilities of meeting the demand for final types of energy in the constituent entities of the Russian Federation is carried out for all key scenarios of cooling and loss of efficiency of critical gas industry facilities. The principles of modeling the situation with the supply of final types of energy to consumers in these situations are shown. The most vulnerable regions under the analyzed conditions are identified. The conclusion is made about the need for a balanced approach to determining the optimal degree of dominance of natural gas in the fuel and energy balance of the regions, taking into account the existing opportunities for its supply in the conditions of large-scale emergencies in the gas industry.



Clustering of Electric Power Systems into Reliability Zones in Adequacy Assessment. Part 2
Abstract
The article presents an analysis of clustering methods in relation to the problem of the formation of energy calculation models (ECM) of electric power systems (EPS). Classical clustering methods are considered, such as: the k-means method, the shortest path method, as well as methods for detecting communities in graphs according to given features, which are the most suitable for solving the problem. Based on the analysis, it was found that for graph clustering, the most adequate result can be obtained by applying the Leiden method. The experimental part of the article presents the results of applying the Leiden method for the formation of the ECM of the unified energy system of Siberia.



Analysis of The Influence of Models of Individual Physical Processes and Phenomena on the Calculation Time of the Source Term in Severe Accidents
Abstract
Dependence of the CPU time needs for calculation of the source term during a severe accident at nuclear power plants with WWER reactors from the individual physical processes and phenomena used as part of the calculation tools similar to the SOСRAT/V3 severe accident code is investigated. This analysis allows revealing the most expensive models in terms of runtime. The simplification of these models can ensure the greatest acceleration of the calculation. The relevance of the task draws from the need to develop new or adapt existing calculation tools for assessing the intensity of radioactive emission sources for the tasks of emergency preparedness and response considering the specific requirements for the accuracy of numerical estimates and time to obtain them. The paper demonstrates the possibility of reducing CPU time without significant loss of accuracy of the numerical estimates by simplifying the spectrum of aerosols sizes. The efficiency of the proposed approach is demonstrated by the example of modeling the Phebus FPT1 experiment.



Additional Conditions in Boundary Value Problems of Heat Conduction (Review)
Abstract
A review of studies related to the use of additional boundary conditions (ADBs) and additional sought functions (ADFs) in obtaining analytical solutions to heat conduction problems is presented. ADВs allow the equation to be executed at the boundaries, which leads to its execution inside the domain, excluding direct integration over the spatial coordinate. ADF allows one to reduce a partial differential equation to an ordinary differential equation, from the solution of which the eigenvalues of the boundary value problem are found. Eigenvalues in classical methods are found from the solution of the Sturm–Liouville boundary value problem formulated in the domain of a spatial variable. Consequently, the method used in this work leads to another algorithm for their determination, based on the solution of a temporary differential equation, the order of which is determined by the number of approximations of the resulting solution. In a problem based on determining the front of a temperature disturbance, the equivalence of solutions to the parabolic and hyperbolic heat equations was found. And, in particular, a number of approximations have been found that limit the speed of propagation of a thermal wave in the solution of a parabolic equation to a value equal to its real value for a specific material, at which it coincides with the solution of the hyperbolic equation.



Аdaptive Сontrol algorithm Based on a Virtual Synchronous Generator. Part II
Abstract
An increase in the penetration level of power plants based on renewable energy sources using power converters (PCs) has a direct impact on the dynamic characteristics of modern electric power system (EPS) and, as a consequence, the nature of the transient processes. One of the main problems in such EPS is a significant change in the magnitude of the total inertia of the system over time, which leads to an increase in the rate of change of frequency and the magnitude of its maximum deviation under various disturbances. A promising direction for solving this problem is the synthesis of new structures of PC control systems based on a virtual synchronous generator (VSG) with adaptively changing parameters. The results of the research in this area are presented in the paper, which consists of two parts. In the first part of the paper, the dependence of the adaptive algorithms efficiency for controlling the parameters of the VSG on the structure used is substantiated. A comparative analysis of the developed modified VSG structure with traditional algorithms is performed and its fundamental advantages are proved. The second part of the article presents an analysis of the influence of the modified structure parameters of the VSG on the dynamic response using time domain transient analysis. Based on the results obtained, adaptive algorithms for independent control of virtual inertia and parameters of the VSG damper winding have been developed. The performed mathematical modeling confirmed the reliable and efficient operation of the developed adaptive control algorithms and the modified structure of the VSG as a whole. From the theoretical and experimental results obtained in the paper, it follows that there is a need for simultaneous development and improvement of adaptive control algorithms and the VSG structures used for this.



Technologies of the Integrated Development of Hydrogeothermal Resources of the North Caucasian Region
Abstract
This paper focuses on the technologies of the integrated development of high-parametric geothermal brines with steam release. They differ from each other depending on initial parameters. Such way of brine utilization will make it possible to transform thermal energy to electrical power along with significant increasing its salinity that contributes to chemical components extraction. The opportunity is considered of this technology application in the Tarumovka geothermal field with electric power generation in steam-turbine and binary power plants, and consequent obtaining valuable mineral components. The geothermal and biogas technologies are given proposing integrated utilization of thermal water for various applications. Such systems make it possible to use resource potential of geothermal well and biomass that will result in improvement of economic and environmental situation in the North Caucasus region.



Determination of Coefficients of Decomposition of a Nonlinear Characteristic into a Power Series
Abstract
The problem of monitoring the parameters of nonlinear elements included in various electrical devices is considered. A new algorithm for reproducing the nonlinear current-voltage characteristic of a device based on the measurement results has been proposed and investigated, which has several advantages over the known ones, allowing, in particular, to obtain an analytical representation of the current-voltage characteristic in real time. The proposed algorithm is based on the direct determination of the coefficients of the polynomial approximation of the current-voltage characteristic. A review of scientific research done to date by other authors dealing with this problem has also been carried out. Formulas for determining the amplitudes of current harmonics through power series coefficients and voltage amplitudes on a nonlinear element are obtained. Binomial coefficients are used to facilitate intermediate calculations. The relations for the zero, odd and even harmonics of the current are obtained, as well as analytical expressions for the coefficients of the polynomial approximation. An experimental study of the proposed method was carried out, according to the results of which an assessment of its accuracy was made. The use of the proposed method significantly simplifies the processing and reduces the measurement time of nonlinear VAC.


