Design Of Power Supply Systems Research Articles

Method of calculation of temperature parameters and servic life of cable lines with a voltage of 10 kV

RELEVANCE. The paper presents a method for calculating the temperature parameters and service life of cable lines (CL) with a voltage of 10 kV for various types of insulation and operating conditions. Dependencies have been developed that are recommended for clarifying the parameters of the CL, taking into account different operating modes. The results of the study can be used for practical application and will contribute to reducing the number of accidents resulting from thermal breakdowns of CL due to incorrect selection of CL parameters.PURPOSE. To investigate the temperature parameters of 10 kV CL, taking into account various methods of laying them and load factors for the climatic conditions of the Republic of Tatarstan.METHODS. Methods for calculating the temperature parameters of CL and their service life, methods of statistical data processing, and methods for approximating functions are used. The ELCUT software package is used to visualize the results obtained during calculations. results. The results of calculations of the temperature parameters of 10 kV CL with paper-impregnated insulation (BPI), polyvinyl chloride plastic (PVC) insulation and polyethylene (PE) insulation during their laying in air, in the ground, in the ground in a pipe, taking into account the load coefficients of cable lines, are presented. The results of calculations of the service life of the CL are shown. The values of the optimal load coefficients of the CL are determined to reduce the rate of thermal aging of insulation under various operating conditions. conclusion. The results of the conducted research and calculations can be used to evaluate and select the optimal load of 10 kV CL at the stages of operation and design of power supply systems.

Research on Wireless Power Transfer Method for Intelligent Sensing Device of Non-Directly Buried Distribution Cables

This paper presents a study on the impact of circuit parameters on the transmission of electrical energy in wireless power transfer systems designed for intelligent sensing devices within the urban electric power Internet of Things (IoT). Relying on the essential principles of resonant mutual inductance models, the paper conducts an analytical investigation into the phenomena of power-frequency splitting characteristics, efficiency-frequency splitting characteristics, and efficacy synchronization characteristics within wireless energy transmission technologies. The investigation includes a detailed analysis of a wireless power transfer system model operating at 100 kHz, delineating how varying circuit parameters influence the system’s efficiency. Via the utilization of graphical software and computational programming for simulation modeling, this research delved into the dynamics between key parameters such as equivalent load and coupling coefficient and their influence on distinct splitting phenomena. This rigorous approach substantiated the validity of the proposed power-frequency and efficiency-frequency splitting characteristics outlined in the study. Based on the analytical results, it is shown that selecting an appropriate equivalent load or utilizing impedance matching networks to adjust the equivalent load to a suitable size is crucial in consideration of the system’s output power, voltage withstand level, and transmission efficiency. The research findings provide a theoretical basis for the design of wireless power supply systems for non-directly buried cable front-end sensing devices.

Системный анализ методов расчета систем электроснабжения карьеров

To optimize decisions on the choice of power supply options and obtain the greatest technical and economic efficiency in computer-aided design, it is necessary to improve the methodological base, develop economic and mathematical models of the most important and labor-intensive problems and algorithms for solving them using modern computer technology. In this work, a block diagram of an algorithm for computeraided design of power supply systems for quarries has been developed. The scheme provides the ability to calculate electrical loads taking into account the features of technology and mechanization of mining operations, select the number and power of transformer substations, calculate quarry distribution systems, compare options for power supply schemes taking into account changes in electrical loads and the dynamics of mining operations.

Автоматизация расчетов токов короткого замыкания и потерь напряжения в системах электроснабжения и интеграция в CAD систему

Modern design of power supply systems is closely related to huge amounts of data that require fast and accurate processing in order to ensure uninterrupted and reliable operation of the system. A specialized software solution has been developed to efficiently process such volumes of data. The program provides an opportunity to check the accuracy of the selected protection equipment, cable lines and identify unreliable elements in the system. This allows engineers to verify the reliability and efficiency of the designed power supply system, as well as to make the necessary adjustments to ensure uninterrupted operation. Keywords: AUTOMATION, CALCULATION, INTEGRATION, VOLTAGE, POWER SUPPLY SYSTEM, DESIGN, CAD SYSTEMS, DATA ANALYSIS, SOFTWARE

INVESTIGATION OF THE RELIABILITY OF POWER SUPPLY SYSTEMS

Currently, there are a large number of territories in the Republic of Kazakhstan that are not connected to centralized networks. Power supply of facilities in such territories is a complex task, the solution of which requires significant material costs. Reliable power supply means long-term uninterrupted power supply of consumers with electricity of the required quality. The most functionally completed autonomous power supply system (SES) of the "small" electric power industry is the integrated system of guaranteed power supply (KSGEP). The article discusses the provision of reliable power supply to a specific consumer - it is possible only on the basis of a systematic approach to the organization of power supply. To ensure the normal operation of the DES-UPS system (uninterruptible power supply), the power of the DES (diesel power plant) must exceed the power of the UPS. The degree of this excess depends on many factors determined by both the properties of the generator and the diesel engine, and the characteristics of the UPS. The analysis of the problem of matching DES and UPS was identified and revealed, which served as the basis for the development of a methodology for calculating power and selecting DES for working with UPS. A comprehensive system approach to the design, organization, maintenance and operation of autonomous power supply systems of the "small" electric power industry is given, which is the key to their reliable functioning, reliable power supply to consumers.

INVESTIGATION OF THE RELIABILITY OF POWER SUPPLY SYSTEMS

Currently, there are a large number of territories in the Republic of Kazakhstan that are not connected to centralized networks. Power supply of facilities in such territories is a complex task, the solution of which requires significant material costs. Reliable power supply means long-term uninterrupted power supply of consumers with electricity of the required quality. The most functionally completed autonomous power supply system (SES) of the "small" electric power industry is the integrated system of guaranteed power supply (KSGEP). The article discusses the provision of reliable power supply to a specific consumer - it is possible only on the basis of a systematic approach to the organization of power supply. To ensure the normal operation of the DES-UPS system (uninterruptible power supply), the power of the DES (diesel power plant) must exceed the power of the UPS. The degree of this excess depends on many factors determined by both the properties of the generator and the diesel engine, and the characteristics of the UPS. The analysis of the problem of matching DES and UPS was identified and revealed, which served as the basis for the development of a methodology for calculating power and selecting DES for working with UPS. A comprehensive system approach to the design, organization, maintenance and operation of autonomous power supply systems of the "small" electric power industry is given, which is the key to their reliable functioning, reliable power supply to consumers.

Determination of the grid impedance in power consumption modes with harmonics

The paper investigates the harmonic impedance determination of the power supply system of a mining enterprise. This parameter is important when calculating modes with voltage distortions, since the determined parameters of harmonic currents and voltages significantly depend on its value, which allow the most accurate modeling of processes in the presence of distortions in voltage and current. The power supply system of subsurface mining is considered, which is characterized by a significant branching of the electrical network and the presence of powerful nonlinear loads leading to a decrease in the power quality at a production site. The modernization of the mining process, the integration of automated electrical drive systems, renewable energy sources, energy-saving technologies lead to an increase in the energy efficiency of production, but also to a decrease in the power quality, in particular, to an increase in the level of voltage harmonics. The problem of determining the grid harmonic impedance is solved in order to improve the quality of design and operation of power supply systems for mining enterprises, taking into account the peculiarities of their workload in the extraction of solid minerals by underground method. The paper considers the possibility of determining the grid impedance based on the measurement of non-characteristic harmonics generated by a special nonlinear load. A thyristor power controller based on phase regulation of the output voltage is considered as such a load. Simulation computer modeling and experimental studies on a laboratory test bench are used to confirm the proposed method. The recommendations for selecting load parameters and measuring device connection nodes have been developed.

Reliable power supply to power consuming units via isolated distributed generation: problematic issues and approaches to their solution

The present study considers solutions to problematic issues concerning the integration of distributed generation facilities into the internal power supply network of power consuming units. The possibility of ensuring reliable power supply using verified models of generating plants and power consuming units is analysed along with a description of principles for the selection of control systems for generating plants. Full-scale measurements recording significant deviations in power quality indicators, were carried out. A total capacity of distributed generation facilities operating as a part of isolated energy districts is estimated at 8.5–9 GW. In addition, in the case of operation as a part of power systems, this capacity is equal to 13.5–14 GW. Therefore, the total capacity of these facilities is 22–23 GW or 9.5–10% of the total capacity of all generating facilities in Russia. The necessity of using verified mathematical models of generating plants, as well as main synchronous and asynchronous motors, along with the correct consideration of rotated mechanism types and real load factors, is substantiated. Principles for selecting the excitation systems of generating plants, as well as coordinating parameter settings for relay protection devices in generating plants and other elements in the internal power supply networks of power consuming units are considered. Recommendations regarding the permissibility of commutations and guaranteed correspondence between electric power quality indicators and regulatory requirements in island (autonomous) operating mode are provided. Thus, the need on the part of organizations that have necessary software systems and experience in conducting complex mode calculations to implement projects for integrating distributed generation facilities is substantiated. Here, the volume and complexity of calculations is higher than in the design of standard power plants and power supply systems.

Methods and algorithms for determining the optimal structure of the telecommunications power supply system based on morphological synthesis

It is necessary to develop design principles and methods based on morphological synthesis and analysis of technical solutions to solve the problem of optimal design of power supply systems for a telecommunications power supply system. The essence of the morphological method is that it is necessary to determine several morphological features (typicality, specificity, differentiation) that are important for the problem being solved, and to make all possible combinations of these features (parameters). Its advantage over other methods is that, taking into account the various structural and parametric characteristics of the power supply system, it is possible to analyze the functional characteristics of the power supply system, its actions in a dynamic mode under the influence of changes in the network, load and change the mode of the operation. This article studys the optimal structure of the telecommunications power supply system.

The influence of power quality on the operational modes of industrial power supply systems

About 90% of distortions involving power quality analysis value are caused by the operation of industrial power supply systems. Thus, not only do gradual changes of voltage and harmonic distortions appear, but also disturbances caused by voltage dips and interruptions, which lead to technological equipment malfunctioning as well as serious damage to power quality. However, despite the possible damage from voltage dips and short interruptions in power supply systems, there is no standardization in power quality requirements, and power quality requirements are often not taken into consideration in the design and operation of power supply systems. On the basis of the research conducted on power quality value and analysis of current regulatory documents, the author of the article feels that it is crucial to take into consideration voltage dips and interruptions in the operation of industrial power supply systems.

Insolation calculations of a photovoltaic power plant taking into account location-based and weather parameters

In this study, we set out to develop a methodology for calculating insolation of a photovoltaic power plant taking into account the maximum number of significant input parameters and its territorial adaptation. To this end, simulation modelling implemented in the MATLAB environment was used. Functional possibilities for the synthesis of models using existing elements with the integration of algorithms and modelling results between the blocks of the Simulink sub-system were used. In terms of significant input parameters, geographical coordinates, local time, tilt of the receiving solar panel, modelled day, atmospheric transparency coefficient, albedo and azimuthal angle were considered. A computer model of a photovoltaic power plant was developed for investigating the operation of photovoltaic cells depending on the coordinates of their installation, geometric parameters of solar panels, as well as the temperature and reflectivity of the environment. The performed modelling of the photovoltaic power plant operation visualised graphic dependences of insolation on the tilt of the solar panel, atmospheric transparency coefficient, geographical coordinates of the object and the current month or day. According to the analysis, 15 variations in the solar panel tilt modifies insolation by 10–15%, while variations in the atmospheric transparency coefficient result in 30–50% variations of insolation. As a result, the daily insolation values for the city of Angarsk throughout a year can be modified by 1000–6500 W/m2. The presented results of investigating a regionally adapted photovoltaic power plant demonstrated the need for accounting for location-based and weather parameters during the calculation of insolation for determining the applicability of a plant. The proposed mathematical model for calculating insolation of a photovoltaic power plant can be used for the design and optimization of power supply systems in combination with the specified photovoltaic solar power plants.

INFORMATION TECHNOLOGIES FOR STUDYING PARAMETERS FOR SIMULATING COMPLEX SCHEMES OF ELECTRICAL SUPPLY OF ELECTRICAL TRANSPORT TRACTION NETWORKS

The parameters of complex power supply schemes of tram lines, which are required for simulation modeling, were studied: statistical characteristics of traction loads of feeders and voltage on the tires of traction substations. It was established that the distribution function of the feeder feeding the tram depot corresponds to the logarithmic normal law, the distribution function of the modules of the idle voltage deviation and the angles between the idle voltages of adjacent traction substations to the truncated normal law. It is proposed to modernize the information bases of electric traction network parameters with complex power schemes to increase the efficiency of modeling the modes of operation of sections of urban electric transport. A method of calculating instantaneous schemes has been developed, which allows to create algorithms that do not depend on the degree of complexity of the scheme. A method of simulation modeling of complex power supply systems of electric transport based on the synthesis of the matrix method of calculating instantaneous circuits and the method of statistical tests for modeling the organization of traffic of trams and trolleybuses is proposed. Algorithms and simulation models of traction power supply systems of urban electric transport have been developed, taking into account the modes of operation of power systems. A single simulation complex has been created that takes into account the traffic schedules of trams and trolleybuses, power flows in power supply systems, which makes it possible to obtain generalized dependences of power flows and energy losses, and to increase the accuracy of calculations of electrical parameters to 5–7%. Adequacy of the simulation model to the real process was verified by experimental data on a number of two-track, single-track sections of electric traction networks and complex power supply schemes of traction substations. The error in determining the integral indicators of costs and energy losses does not exceed 5%, and the rms currents – 3%. The use of simulation modeling in the design of traction power supply systems allows to improve the quality of electrical engineering calculations of complex power supply schemes and to propose energy-efficient power supply modes.

Investigating the dynamics of a buck converter with time-delay feedback control

The paper deals with the dynamics features of a closed automatic control system based on a buck converter with a function to control nonlinear dynamic processes. A comprehensive analysis of the system under study is carried out using both small-signal average dynamic models and nonlinear dynamic models. For the first time, a small-signal average model of a system with a control function for nonlinear dynamic processes based on a time-delay feedback control has been obtained. The influence of this control method on Bode plots of an open system is shown. It is noted that the use of the time-delay feedback control ensures the stability of both the equilibrium point of the small-signal average model and the fixed point of the periodic mode of the nonlinear dynamic model of the system under consideration. This enables to achieve high quality output voltage. The application of the time-delay feedback control does not require to correct the system parameters, which ensures a given speed and low losses in the power switch of the converter. In addition, the quality of the transition process in the system is improved, namely, oscillation is eliminated and overshoot is reduced. Using the time-delay feedback control, it is possible to provide the desired dynamic mode in the areas of instability of the initial system without controlling nonlinear dynamic processes, which makes it possible to increase the speed due to the small time constant of the regulator. These results were obtained for the first time and can be used in the design of pulse power supply systems of a wide variety.

К ВОПРОСУ ОБ ОПРЕДЕЛЕНИИ ЭЛЕКТРИЧЕСКИХ НАГРУЗОК ТРАНСФОРМАТОРНЫХ ПОДСТАНЦИЙ

Relevance The calculation of electrical loads is the basis for choosing the carrying capacity of all elements of the electrical network. An increase in rated loads compared to the necessary ones leads to cost overruns on power transmission lines and an increase in power of transformers, and a decrease in rated loads leads to increased power dissipation in networks, increased heating of conductors and transformers and increased thermal deterioration of their insulation. The reliability of the calculation of electrical loads depends both on the reliability of the calculation coefficients used and on the correctness of the methods used. Therefore, the research and improvement of the calculation of electrical loads in the design of power supply systems is an actual problem. Aim of research To investigate the determination of rated loads of transformer substations, methods of accounting for power dissipation in different modes of operation of the power supply system and methods for determining rated currents of cable lines to transformer substations. To consider the correctness of the use of standard forms for determining electrical loads recommended by regulatory documents. To develop a generalized form of performing calculations of electrical loads of transformer substations, combining the calculation of loads on the side of lower and higher voltages. Research methods To solve the tasks, the definition of electrical loads according to standard forms of regulatory documents is investigated. The methods of accounting for power dissipation in transformers under different operating modes of the power supply system and the determination of rated currents along cable lines to transformer substations are considered. Results The shortcomings of the execution and design of the calculation of electrical loads according to standard forms are revealed: standard forms do not contain information at which values of the heating time constant calculations are performed to determine the rated power of the electrical power load on the side of the lower and higher voltages of transformer substations, do not contain the definition of power dissipation in transformers. Ways of improving the calculation of electrical loads of transformer substations are proposed. A generalized form of execution and design of calculations of electrical loads of transformer substations have been developed, which include the values of time constants when calculating electrical power loads, the type and passport data of the selected transformer, calculations of power dissipation in transformers in two modes and calculations of the load current of cable lines to transformer substations.

АНАЛИЗ РЕЖИМОВ РАБОТЫ ЭЛЕКТРОТЕХНИЧЕСКОГО ОБОРУДОВАНИЯ ВЫЕМОЧНОГО УЧАСТКА СОВРЕМЕННОЙ УГОЛЬНОЙ ШАХТЫ

The growth in the power supply and the development of a mechanized complex of mining districts in coal mines has an impact on the characteristics of their power consumption. The improvement of coal mining technologies affects the servicing factor of mining machines, and the introduction of a modern variable-frequencyelectric drive can affect the dynamics of changes in electrical loads. Cited in the literature, the characteristics of the electrical load of the excavation districts of coal mines were obtained in the XX century and are outdated. To make adequate technical solutions in the design and management of power supply systems for coal mines, it is necessary to update these characteristics. Implementation of the SCADA system in coal mines makes it possible to obtain a large amount of measurement information that can be processed using modern methods of working with big data. The purpose of this work is a comparative analysis of the statistical characteristics of the electrical load of the modern Eickhoff SL 900 shearer with similar characteristics of the shearers used in the 1980s. The measurement data is collected using the SCADA system of a coal mine and includes measurements of the current, the shearer speed and the conveyor traffic flow. The measurement period covers 72 days. After the initial processing of the measurements, data arrays were formed with a time interval of 5 seconds. As a result of statistical processing of the arrays of measurements, the following characteristics of the shearer were determined: cycle time; work time; downtime; cyclic duration factor (CDF); time utilization degree (ηТ); coefficient of variation (CV). Comparative analysis of the listed characteristics showed that the SL 900 shearer has a significantly longer duration of operation and the time utilization degreein comparison with shearers of the 1960-1970s. Correlation analysis of the electrical load of the shearer with the shearer speed and the conveyor traffic flow showed a weak relationship, from which it was concluded that the dynamics of the change in the longwall shearer electrical load is mainly determined by the presence of solid inclusions in the destroyed coal mass.

Energy-saving design and implementation in metro weak current systems: a case study of the Kunming metro system

With the accelerated urbanization in China, along with the growing scale of the metro transportation network, the energy consumption of metro systems continues to increase. To face the tough challenge of climate change, China has put forward the goal of peak carbon emissions by 2030 and achieving carbon neutrality by 2060. Energy consumption has become a serious burden for metro operation companies, since 10.2% of the total operational budgets is spent on electricity. Thus the development of methods to realize energy saving and emission reduction has become a major challenge for metros. In this study we conduct an in-depth research and analysis on metro energy load classification and energy management, focusing in particular on the design and usage of power supply systems for metro weak current electromechanical systems, including tunnel fans, station air conditioners, station escalators, automatic ticketing equipment, screen doors, drainage pumps, sewage pumps, platform doors, communication systems, signals, integrated monitoring systems, automatic ticketing and various lighting equipment and facilities. It is proposed that the five weak current systems, namely platform doors, communication systems, signals, integrated monitoring and automatic fare collection, should adopt a backup power supply. In order to ensure the reliable operation of all weak current systems in the station, the traditional decentralized power supply mode is changed to a centralized power supply and uninterruptible power supply (UPS) (1 + 1) parallel double-bus system. At the same time, combined with the data on equipment quantity, station passenger flow and station building floorage, the Boruta algorithm is used to filter out the equipment related to station weak current energy consumption, and a principal component analysis (PCA) algorithm is used to further reduce the dimensions of the filtered features to reduce the algorithm overhead of the subsequent quota analysis model. The XGBoost algorithm is used to establish a prediction model for station weak current system energy consumption. Analysis shows that there is a strong correlation between the energy consumption quota and the equipment quantity as well as station building floorage. By setting different metering instruments for power supply circuits, the main energy consumption data are collected to meet the requirements for graded metering of metro energy consumption, and then the energy consumption quota for the station weak current system is reasonably predicted. By adding metering instruments to the power supply circuits of different areas and equipment, the energy consumption of the weak current system can be measured and monitored in different grades. The combination of the energy management platform and energy consumption quota provides the basis for energy management of each energy-consuming unit, and ultimately realizes energy saving and reduced consumption.

TECHNICAL FEATURES OF USING A COMPLEX WIND-SOLAR POWER SUPPLY SYSTEM OF AN ENERGY-EFFICIENT HOUSE


 
 
 The wish to achieve energy savings of organic fuel while reducing the negative man-made impact on the environment, especially in the context of global warming, encourages for the search for new approaches in the construction of energy efficient houses and buildings. Analysis of the accumulated meteorological data on wind and solar potentials in Kyiv shows that in an urban city it is possible to create a fully autonomous house, which will be supplied with electricity using solar and wind energy. Year-round monitoring of atmospheric parameters such as current values of wind speed and direction, relative humidity and barometric air pressure was carried out using a portable meteorological station TFA Nexus using appropriate Primus software, which allowed to collect and analyze measurement data. Data on insolation for the location of the energy-efficient house were obtained experimentally in 2019 using measurements with a pyranometer SR-U1. The developed system consists of a wind generator, solar modules, charge controllers, inverters and batteries. The calculation of electricity production by the solar station was performed in the PVSyst program according to meteorological data Meteonorm. At the same time, it should be noted that the energy contribution from photomodules is crucial for the power supply of an energy-efficient house. The proposed instrumental methods for determining the parameters of insolation provide an opportunity to assess its technically available potential for a given area, as well as to use the obtained data for the design of complex power supply systems using energy of wind and solar. The research results prove that in the conditions of the city of Kyiv there are potential opportunities for the creation of residential buildings with zero energy balance, in which, for the purpose of power supply, wind generators and solar modules can be used quite successfully.
 
 

Modified AC/DC Unified Power Flow and Energy-Saving Evaluation for Urban Rail Power Supply System With Energy Feedback Systems

Energy feedback systems (EFSs) have been widely applied in urban rail transit, and a power flow algorithm and energy-saving evaluation of urban rail power supply systems with EFSs are studied in this paper. First, trains, the reflux system, and traction substations with EFSs are modeled, and the multimode transitions are analyzed, including the maximum power state of the EFS. Then, a modified AC/DC unified power flow algorithm for the DC power supply system, which simplified the DC reflux system is proposed, and a field case study based on a multiple train scenario is presented to validate the algorithm. Furthermore, system-level energy-saving evaluation indexes are applied according to system power flow analysis. When the headway time decreases, the proposed indexes decrease in general mainly as there is more regenerative braking energy absorbed by adjacent trains. The higher the load rates of the step-down substations are, the more daily feedback energy is utilized. When the start voltage of the EFS ranges from 1650 V to 1770 V, the maximum energy-saving rate reaches 11.9%, which occurs when the start voltage is 1670 V. When the no-load voltage is relatively high, the start voltage should not be higher than 1750 V to keep the system running in high efficiency. These results can provide advice for the design and operation of traction power supply systems with EFSs.

On the need of addressing voltage sag and short interruption concerns in power supply system design and operation

Voltage sags and interruptions are generally caused by faults on power supply systems. Voltage sags and interruptions significantly reduce electric power quality and can result to equipment failures, control malfunctions, and other technical and financial losses. In our research, we proof the need of addressing voltage sag and short interruption concerns in power supply systems to make them safer and more cost-effective. We describe certain characteristics of voltage sags and short interruptions, determine what causes them, how they affect various types of equipment, and how to improve design and operation of power supply systems taking into account protection from voltage sags and short interruptions.

Timely determination of static stability margins in power supply systems equipped with distributed generation installations

The article aims to develop a methodology to ensure timely determination of the margins of static aperiodic stability in power supply systems, at the nodal points of which distributed generation units are installed. The authors used mathematical methods and algorithms based on the application of limiting regime equations. Transitional processes were analysed for various points in the space of controlled mode parameters according to the simulation modelling in Matlab using the Simulink and SimPowerSystems packages. On the basis of the obtained results, an effective technique for analysing stability margins in electrical networks with distributed generation units was implemented. This method is applicable in design problems, as well as in operational and emergency control. The conducted theoretical analysis and computer modelling showed the effectiveness of the proposed methodology for calculating stability margins; the nondegeneracy of the Jacobi matrix of limiting regime equations at the solution point ensures the guaranteed reliability of the results. It was shown that an alternative approach to solving the problem of timely determination of aperiodic stability margins can be implemented on the basis of limiting regime equation with increased nonlinearity. Dynamic modelling of an electrical network with distributed generation units confirmed the correctness of determining the stability margins calculated using limiting regime equations. The developed technique can be recommended for practical use in the design of power supply systems or in operational control of synchronous generators. In particular, the presented methodology can be used to implement a multi-agent emergency control system for distributed generation installations located in generalpurpose distribution electrical networks.