Steady-state Mode Research Articles

ГОЛОМОРФНОЕ ПОГРУЖЕНИЕ КАК АНАЛИТИЧЕСКИЙ МЕТОД РАСЧЕТА ЭЛЕКТРИЧЕСКИХ СЕТЕЙ НЕФТЯНЫХ И ГАЗОВЫХ МЕСТОРОЖДЕНИЙ

Для того чтобы обеспечить требуемый уровень надежного функционирования объектов нефтедобычи, необходимо обращать внимание на условия эксплуатации энергосистемы. Это важно, если принять во внимание, что для добычи нефти и газа необходимы достаточно мощные источники энергии, которые существенно влияют на режим работы электросети. При этом актуальным является задача расчета установившихся режимов электрической сети, питающей объекты нефтедобычи. Расчеты установившихся режимов имеют большое практическое значение для обеспечения эффективного и безопасного управления режимами работы нефтяных и газовых предприятий, являются важными при проектировании электрических сетей, питающих объекты нефтегазовых предприятий. Однако применение классических итерационных методов расчета установившихся режимов, таких как метод Гаусса–Зайделя и Ньютона–Рафсона, не всегда позволяет найти правильное решение системы нелинейных уравнений, описывающих установившиеся режимы работы сети, так как сходимость данных методов зависит от начальных приближений. В работе предлагается аналитический метод расчета установившихся режимов электрических сетей, описываемых нелинейными уравнениями. Метод основан на аппроксимации Паде и методе возмущений. Приводятся преимущества метода перед известным методом итераций Гаусса–Зайделя и Ньютона–Рафсона. Приводятся примеры решения задач электроэнергетических сетей, и обсуждаются недостатки предлагаемого метода. Рассматриваются проблемы устойчивости. Цель: применить аналитический метод голоморфного погружения для расчета двух и трехузловой энергетической схемы; сравнить возможности метода с другими альтернативными методами; исследовать ограничения метода голоморфного погружения и показать область его работы. Методы: разложение Тейлора, аналитическое продолжение, решения алгебраических уравнений рекуррентным методом, бесконечные дроби. Результаты. Получены примеры использования метода голоморфного погружения для двух и трех PQ узловых схем, и показаны недостатки метода голоморфного погружения. Проведено сравнение метода голоморфного погружения с альтернативными методами. Выводы. Аналитический метод голоморфного погружения обладает рядом преимуществ: физической наглядностью, простотой алгоритмической реализации, заключающейся в рекуррентных соотношениях для коэффициентов разложения искомой функции в ряд Тейлора. Разложенная в ряд функция является голоморфной, что позволяет осуществлять ее аналитическое продолжение и получить желаемую точность решения.

A Fast-Transient Response Digital Low-Dropout Regulator With Dual-Modes Tuning Technique

A fast transient response digital low dropout (LDO) regulator with a low quiescent current is proposed for power management applications in a self-powered wireless sensor system. The digital LDO incorporates both bisection method (BM) and steady-state tuning techniques to enhance the current efficiency and transient response speed. In steady-state period, the digital LDO works at steady-state mode and only one PMOS is switched at each clock edge for high accuracy and current efficiency. Once the variation of output voltage exceeds the detection boundaries, the BM mode is triggered and the required array conductance can be found in a short response time. The proposed digital LDO is fabricated using 65nm CMOS process. The measurement results show that with the load current switching between 0.1 mA and 4.5 mA, the proposed digital LDO shows a transient response time of 5.9 μs with a maximum undershoot voltage of 118 mV at a regulated output voltage of 0.55V. The current efficiency is 99.7% and the figure of merit is 62.2 ps.

Test Results of a Polymer Radiator of MTZ-80 Tractor Cooling System

Global car manufacturers wish to increase the number of manufactured products, reduce their cost and labor input. The choice of research areas, design and technological developments in radiator construction is an extremely important and urgent task, due to the mass production of radiators for tractors and automobiles on the one hand, and the favorable development prospects of these interrelated industries, on the other. (Research purpose) To substantiate theoretically and experimentally the use of a combined cooling system containing both aluminum and polymeric water radiators and similarly liquid-oil heat exchangers based on the four principles listed above on automobiles and tractors. (Materials and methods) The authors performed bench tests using a special wind tunnel to study the thermal and aerodynamic characteristics of a prototype tractor radiator with a polyurethane core. After reaching the steady-state operating mode of the installation, the experimental values were determined for the control and measuring instruments. (Results and discussion) The authors carried out measurements of all parameters of both coolants in series at each steady-state operating mode of the bench. They obtained the main indicators dependences (reduced heat transfer, aerodynamic and hydraulic drag) of the heat exchanger, close to the operating conditions of the vehicles. (Conclusions) A prototype MTZ-80 radiator with a polyurethane core has great prospects as a future alternative radiator. An increase by 10-15 percent in the radiator heat transfer is possible by using aluminum fi ns on the surface of the polyurethane plate. A 15-20 percent reduction in hydrodynamic resistance is achieved by increasing the diameter of the capillary throughput in a polyurethane plate and the number of plates themselves in the radiator cell.

Sensorless Control of Permanent Magnet Synchronous Machine with Magnetic Saliency Tracking Based on Voltage Signal Injection

This paper presents a sensorless control method of a permanent magnet synchronous machine (PMSM) with magnetic saliency estimation. This is based on a high-frequency injection (HFI) technique applied on the modified PMSM model in the γδ reference frame. Except for sensorless control, an emphasis is placed on the magnetic saliency estimation to indicate a practical approach in tracking PMSM inductance variations. The magnetic saliency is determined using calculations embedded in the speed and position algorithm through current measurements. A notable characteristic of the modified PMSM model is that the corresponding rotor flux integrates both permanent magnet and saliency term fluxes. In applying a HFI technique for sensorless control, the structure of the PMSM flux model is formatted accordingly. A novel inductance matrix is derived that is completely compatible with the HFI methodology, since its elements include terms of angle error differential and average inductances. In addition, a sliding mode observer (SMO) is designed to estimate the speed and angle of rotor flux based on equivalent control applying a smooth function of the angle error instead of a sign one to reduce the chattering phenomenon. The control strategy is principally based on the adequacy of the proposed modified model and on the appropriateness of the SMO structure to successfully track the rotor flux position with the required stability and accuracy. Simulation results demonstrate the performance of the PMSM sensorless control verifying the effectiveness of the proposed algorithm to detect PMSM saliency, speed and position in steady state and transient modes successfully.

ПОВЫШЕНИЕ ПРОПУСКНОЙ СПОСОБНОСТИ РАСПРЕДЕЛИТЕЛЬНЫХ ЭЛЕКТРИЧЕСКИХ СЕТЕЙ С ВОЗОБНОВЛЯЕМЫМИ ИСТОЧНИКАМИ ЭНЕРГИИ ПУТЕМ ИХ РЕКОНФИГУРАЦИИ

Актуальность исследования обусловлена необходимостью разработки технических решений по повышению пропускной способности перспективных распределительных электрических сетей железных дорог с возобновляемыми источниками энергии в темпе процессов изменения спроса на электроэнергию. Цель: повышение пропускной способности перспективных распределительных электрических сетей железных дорог с возобновляемыми источниками энергии путем оптимальной реконфигурации электрических схем. Объекты: распределительные электрические сети, источники распределенной генерации активной и реактивной мощности, методы оптимизации для решения задач в электроэнергетике, повышение пропускной способности электрической сети. Методы: оптимизационная задача решалась методом ветвей и границ, имитационное моделирование режимов электрических сетей выполнялось в Matlab Simulink. Результаты. Разработан алгоритм реконфигурации электрической сети для повышения ее пропускной способности на основе решения задач оптимизации нормальных режимов (статическая реконфигурация) и минимизации потребления электроэнергии без расчета установившихся режимов в темпе процессов изменения спроса на электроэнергию (динамическая реконфигурация). Для обеспечения допустимости режимов распределительных электрических сетей предложены подходы к управлению предложением активных (на базе возобновляемых источников) и реактивных мощностей и спросом активных потребителей. Представлены результаты реализации динамической реконфигурации для тестовой электрической схемы без учета управления предложением мощности и спросом активных потребителей, свидетельствующие об обоснованности предлагаемых подходов к повышению пропускной способности электрической сети.

Aspects Determining the Dominance of Fomitopsis pinicola in the Colonization of Deadwood and the Role of the Pathogenicity Factor Oxalate

Carbon and mineral cycling in sustainable forest systems depends on a microbiome of basidiomycetes, ascomycetes, litter-degrading saprobes, ectomycorrhizal, and mycoparasitic fungi that constitute a deadwood degrading consortium. The brown rot basidiomycete Fomitopsis pinicola (Swartz: Fr.) P. Karsten (Fp), as an oxalate-producing facultative pathogen, is an early colonizer of wounded trees and fresh deadwood. It replaces basidiomycetous white rot fungi and non-basidiomycetous fungal phyla in the presence of its volatilome, but poorly in its absence. With the goal of determining its dominance over the most competitive basidiomycetes and its role in fungal successions within the forest microbiome in general, Fp was exposed to the white rot fungus Kuehneromyces mutabilis (Schaeff.: Fr.) Singer & Smith (Km) in aseptic dual culture established on fertilized 100 mm-long wood dust columns in glass tubes with the inclusion of their volatilomes. For the mycelia approaching from the opposite ends of the wood dust columns, the energy-generating systems of laccase and manganese peroxidase (MnP), the virulence factor oxalate, and the exhalation of terpenes were determined by spectrophotometry, High Pressure Liquid Chromatography (HPLC), and Gas Chromatography-Mass Spectrometry (GC-MS). Km mycelia perceived the approaching Fp over 20 mm of non-colonized wood dust, reduced the laccase activity to 25%, and raised MnP to 275%–500% by gaining energy and presumably by controlling oxalate, H2O2, and the dropping substrate pH caused by Fp. On mycelial contact, Km stopped Fp, secured its substrate sector with 4 mm of an impermeable barrier region during an eruption of antimicrobial bisabolenes, and dropped from the invasion mode of substrate colonization into the steady state mode of low metabolic and defensive activity. The approaching Fp raised the oxalate production throughout to >20 g kg−1 to inactivate laccase and caused, with pH 1.4–1.7, lethal conditions in its substrate sector whose physiological effects on Km could be reproduced with acidity conditions incited by HCl. After a mean lag phase of 11 days, Fp persisting in a state of high metabolic activity overgrew and digested the debilitated Km thallus and terminated the production of oxalate. It is concluded that the factors contributing to the competitive advantage of F. pinicola in the colonization of wounded trees and pre-infected deadwood are the drastic long-term acidification of the timber substrate, its own insensitivity to extremely low pH conditions, its efficient control of the volatile mono- and sesquiterpenes of timber and microbial origin, and the action of a undefined blend of terpenes and allelopathic substances.

Quantum Chip with the Optimized Tunnel Structure for Measuring a Charge Qubit Based on a Double Quantum Dot

A circuit of a measuring chip for determining an arbitrary pure state of a charge qubit is proposed. The strength of the current flowing through a single-electron transistor in the steady-state mode depends on the state of the qubit. To enhance the sensitivity of the transistor, its working part is built from three quantum dots (QDs) with the energy levels forming a symmetric configuration. The parameters of the system are calculated using a microscopic model of two-dimensional QDs. The time dependences of the population of the structure’s states are obtained and the current strength, sensitivity, and measuring contrast as functions of the geometric parameters of the system are determined. The effect of dissipative processes related to the acoustic phonons on the measurements is investigated and the rates of electron relaxation and dephasing in a two-level system are calculated.

Experimental research of the three-phase physical model of the magnetic field inductor in the working mode when processing bulk material

A physical model of a three-phase magnetic field inductor with a cylindrical working chamber is presented for conducting its experimental research in the working mode. Results. A frame from the shot video is provided, confirming that the ferromagnetic elements of a certain shape in the operating mode are oriented along the lines of force of the magnetic field during its rotation. This means that the resulting electromagnetic moment, by analogy with synchronous machines, will be reactive, the principle of operation of the inductor will correspond to the principle of operation of a synchronous jet motor. The dependences of the electric values of the magnetic field inductor in the steady-state operating mode are presented, depending on the volumetric coefficient of the chamber filling with ferromagnetic elements. Originality. Photos of the material before and after processing it in the inductor are presented. Practical value. Practical recommendations are given that can be taken into account during further refinement of experimental studies.

Control the Voltage Instabilities of Distribution Lines using Capacitive Reactive Power

The voltage instabilities in the distribution lines are primarily related to the integration of photovoltaic power plants with the local grids. Conventional tap-changers cannot compensate for the rapid disparities between generated and consumed power because of sluggish dynamic response. This article presents an effective method and control algorithm to improve the voltage instabilities of distribution lines. Analytical calculation confirms that the application of capacitive reactive power on load is beneficial to keep the voltage at the permissible level. Importantly, the severe concern about the current increment with voltage enhancement is also addressed. The dynamic behavior during capacitance switching is studied using simulation experiments. It is suggested that capacitance is connected to the load for the only time of voltage drop until the transformation ratio changes to the desired level. This article provides an explanation and solution for voltage deviations of electricity distribution lines in steady-state and dynamic modes.

Mode coupling in bent and twisted step-index plastic-clad silica fibers

The state of mode coupling in bent and twisted step-index plastic-clad silica fibers is investigated in this article by the numerical solving of the time-independent power flow equation. The coupling length Lc at which the equilibrium mode distribution is achieved and the length zs of the fiber required for achieving the steady-state mode distribution are obtained. It was found that the bent and twisted step-index plastic-clad silica fiber investigated in this work shows a much stronger mode coupling than the straight plastic-clad silica fiber. As a result, the coupling lengths where equilibrium mode distribution is achieved, and the lengths of fiber required for achieving a steady-state mode distribution for bent and twisted fibers, are much shorter than corresponding lengths for straight fibers.

Simulation of Electric Networks Modes Using Steady-State and Heat Balance Equations

In the traditional calculations of the steady-state mode of the electrical network, the dependences of the active resistances of the overhead line wire on the ambient temperature and currents in the branches are not taken into account. However, the temperature is a function of the active power losses, the power losses are a function of the resistance and current, and the resistance is temperature dependent. Therefore, these relations should be related to the traditional equations for stationary regimes. In order to increase the accuracy of steady-state calculations, a temperature correction of the resistance of the branches is required. In this paper, we present a method based on the joint solution of nonlinear equations of the steady-state electric network regime and the thermal balance of the wires of overhead lines. The algorithm and the program of calculation of the steady-state mode of an electric network taking into account dependence of active resistances of a wire of an overhead line on ambient temperature and currents in branches have been developed. The quantitative influence of the load current, wire temperature, wind speed, solar radiation on the active resistance of the wires has been estimated, and the errors in calculating annual variable energy losses have been determined. Numerical experiments were carried out for a 6-node modified version of the IEEE test system and equivalent circuit of 110 kV. The results of the calculations of the steady-state regime on various test circuits showed that the non-account of the temperature dependence of the active resistances might cause errors in power loss for individual loaded lines up to 10 %, and for total losses of the system – up to 30 %. This is unacceptable in simulating the modes of the electric network. The results of simulation of steady-state regimes taking into account the temperature dependence of the resistance of the wires are presented on the example of 6-node and 7-node circuits.

A Priori Estimation of Potential Degeneration of Continuous Multichannel Dynamic Systems

The problem of a priory control of potential degeneration of continuous multichannel dynamic systems is considered in the paper. Degeneracy is a property of a system describing operability of a multichannel dynamic system together with the basic properties of stability, reliability and invariance to the changing conditions. An assessment of potential generation of a system and its configuration together with the interconnections and polynomial exogenous signal is proposed. Degeneration process of a multichannel dynamic systems is a process of the rank reducing of the linear operator of the system. This statement is a basic concept of the degeneration factors approach. Algebraic properties of the matrix of the system’s operator is considered, and the matrix is named as the criterion matrix. Degeneration factor is calculated with the singular values of the criterion matrix. The global degeneration factor is conditional number of the criterion matrix of a system. In contrast to previous solutions it is proposed to form the criterion matrix of a system with the resolvent of its state matrix. Deparameterization of the linear algebraic problem is realized by additive decomposition of the output vector of the system by derivatives of the exogenous signal, and the steady-state mode of the system is considered. The procedure of a priori estimation of degeneration of continuous multichannel dynamic systems is proposed. The ways to achieve the required value of degeneration of the criterion matrix of the system with the modal control methods are discussed. The paper is supported with examples.

A Priori Estimation of Potential Degeneration of Continuous Multichannel Dynamic Systems

The problem of a priory control of potential degeneration of continuous multichannel dynamic systems is considered in the paper. Degeneracy is a property of a system describing operability of a multichannel dynamic system together with the basic properties of stability, reliability and invariance to the changing conditions. An assessment of potential generation of a system and its configuration together with the interconnections and polynomial exogenous signal is proposed. Degeneration process of a multichannel dynamic systems is a process of the rank reducing of the linear operator of the system. This statement is a basic concept of the degeneration factors approach. Algebraic properties of the matrix of the system’s operator is considered, and the matrix is named as the criterion matrix. Degeneration factor is calculated with the singular values of the criterion matrix. The global degeneration factor is conditional number of the criterion matrix of a system. In contrast to previous solutions it is proposed to form the criterion matrix of a system with the resolvent of its state matrix. Deparameterization of the linear algebraic problem is realized by additive decomposition of the output vector of the system by derivatives of the exogenous signal, and the steady-state mode of the system is considered. The procedure of a priori estimation of degeneration of continuous multichannel dynamic systems is proposed. The ways to achieve the required value of degeneration of the criterion matrix of the system with the modal control methods are discussed. The paper is supported with examples.

Reconfiguration of intelligent electrical distribution networks of railways

The Digitalization of the power supply system and the introduction of sources of distributed generation based on renewable energy create new conditions for improving the efficiency of transport and distribution of electric energy. In normal operation, the 35/10 (6) kV distribution electric networks of railways have an open-ended structure and are partitioned in such a way as to be able to connect a group of substations to another power source in emergency or repair modes. Existing technologies for managing modes in these electrical networks do not imply the possibility of changing their topology to ensure the tasks of reducing overload and electricity losses in the pace of processes of change in demand for electricity in normal modes. As a rule, at present, the task of reconfiguring the electrical network arises when normal conditions are restored after accidents, when lines are overloaded, and if necessary, electrical equipment needs to be repaired according to the n-1 criterion, while optimizing the modes. The most important task of increasing the transmission capacity of distribution grids can be solved by reconfiguring them at the pace of changing the demand for electricity in normal conditions, without resorting to expensive reconstruction and increasing the installed capacity of electrical installations and lines. An algorithm for reconfiguring the electrical network has been developed to increase its capacity based on solving problems of optimizing normal modes (static reconfiguration) and minimizing power consumption without calculating steady-state modes in the pace of electricity demand changes (dynamic reconfiguration).To ensure the admissibility of the modes of distribution electric networks, approaches to managing the supply of active (based on renewable sources) and reactive capacities and the demand of active consumers have been proposed. There are the results of the implementation of dynamic reconfiguration for the test circuitry without taking into account the power supply and demand management of active consumers, indicating the validity of the proposed approaches to improving the capacity of the electrical network

200 N급 GCH4/LOx 소형로켓엔진의 형상설계와 성능시험평가 (Part II: 정상상태 지상연소시험)

200 N급 GCH4/LOx 소형로켓엔진의 형상설계와 성능시험평가 (Part II: 정상상태 지상연소시험)

Математическое моделирование процесса функционирования одноцилиндрового дизеля с воздушным охлаждением с учетом расхода картерных газов

At present, the most effective method for studying internal combustion engines (ICE) is mathe-matical modeling and computational experiment. The use of a computational experiment can signif-icantly reduce material and time costs in the research, design and refinement of the internal combus-tion engine. At the same time, despite the high level of the applied mathematical models, there are practically no studies aimed at establishing the regularities of the influence of the state of the cylin-der-piston group (CPG) on the crankcase gas consumption and other indicators of engine operation at steady-state and transient modes. This article is devoted to solving an urgent problem associated with the development of a theoretical base that provides a comprehensive simulation of steady-state and transient modes of diesel engine operation, taking into account the consumption of crankcase gases. The article presents a mathematical model of a diesel engine based on thermal mechanics, which reflects the main features of the engine as a system that converts energy in time. The system of equations of the mathematical model is based on the laws of conservation of energy, mass, equa-tions of motion of solid links and includes differential equations for the rates of change in the tem-perature and density of the working fluid in the cylinder and in the crankcase of the internal com-bustion engine, the ideal gas equation of state, as well as differential equations for the change in the angular speed and angle of motor shaft rotation. The mathematical model is tested on the example of a small-sized single-cylinder diesel engine 1Ch9.5 / 8.0 with air cooling. This type of engine is widely used for small-scale mechanization in agriculture, generator sets, etc. The article presents the results of calculations of a number of engine operating modes in comparison with the results of field tests carried out at the test bench.

Реактансы и другие параметры механических систем

The traditional calculation of mechanisms for forced harmonic oscillations is often a difficult task. Most often, calculators are interested in the steady-state modes of harmonic oscillations. The purpose of this paper is to significantly simplify calculations by replacing the need to solve differential equations with simpler algebraic methods. A complex representation of harmonic and related quantities is used. This approach is widely used in theoretical electrical engineering. Parallel and serial connections of mechanical power consumers are considered. The velocities of elements of mechanical systems and the forces applied to them are determined algebraically from the known parameters of systems and the disturbing harmonic effect. The use of a symbolic (complex) description of mechanical systems under forced harmonic vibrations (in steady-state mode) allowed us to abandon the extremely cumbersome and time-consuming calculation algorithm associated with solving differential equations, and replace it with simpler and more visual algebraic operations. Due to this, the time of calculations is reduced significantly. Vector diagrams, not being a necessary component of the study of mechanical systems under harmonic influences, have substantial methodological significance, since they show quantitative and phase relations between the parameters of systems.

Энергетический баланс и показатели тепловой экономичности энергоблока атомной электрической станции

The Guidelines for drawing up a technical report on the effectiveness and thermal efficiency of nuclear power plant operation that have been developed at the All-Russian Research Institute for Nuclear Power Plants Operation (VNIIAES) contain a recommendation according to which the thermal power supplied to external consumers should be determined taking into account the heat transferred to the delivery water in the power plant's district heating installation network pumps. Similarly, the thermal power consumed for power generation should be determined taking into account the heat transferred to the primary circuit coolant and to the secondary circuit working fluid in the pumps installed in the NPP thermal process cycle circuit. The thermal energy transferred to the water in the NPP process circuit pumps is noticeably smaller than the electric energy (in the same units of measurement) supplied to the pump driving electric motors, and the total power consumed by the drive motors is less than the total electric power consumed for the power unit auxiliaries. The energy balances of an NPP power unit equipped with a VVER reactor and of its main process installations, namely, the nuclear steam supply system (NSSS) and the steam turbine plant (STP) are drawn up as applied to their operation in the steady-state mode. The obtained balances were used to derive formulas for calculating the thermal efficiency indicators: the gross and net electric efficiency values. In drawing up the energy balances separately for the NSSS and STP, their performance efficiency indicators were determined. The results of calculations using these formulas for a power unit equipped with a VVER-1000 reactor, the thermal process circuit of which incorporates only electric motors as pump drives, are taken as an example. The obtained results show that the additional heating of water in the pumps has a noticeable influence on the thermal efficiency indicators, a conclusion that seems to be of importance at the present stage of designing the thermal process circuits of NPP power units.

A Numerical Investigation of Different Behavioral Regimes of the Free-Falling Solid Objects in Laponite Suspension

In this paper, we have numerically examined models that are capable of describing free falling regimes of a rigid sphere in a thixotropic fluid as Laponite. By simultaneously solving the dynamical equations governing both sphere and fluid systems, different regimes referred to in the experimental methods, are obtained. Three common behavioral regimes are: i) quickly stopping object, ii) fall with decreasing velocity, and iii) falling with a constant velocity in a steady-state mode. The initial state of the fluids (which is a function of the aging time), the characteristic relaxation time of microstructure's building up under shear, the characteristic thickness of the yielded zone around the sphere, and critical yield stress value besides the diameter and density of the sphere are effective parameters that change the regime.

Оценка влияния статических характеристик нагрузки на уровень частоты сети при раздельной работе с энергосистемой

ue to the requirements for the quality of electrical energy becoming stricter, it is now relevant to assess the impact of various factors on the main quality indicators: voltage and frequency deviations of the network. One of these factors is the static characteristics of various loads, which under certain conditions can have a significant impact on the parameters of the power system. In this article, it is proposed to evaluate the influence of static characteristics on the network’s frequency level when it enters separate operation with the power system and with various changes in the steady-state mode, and also to investigate the relationship between the coef­ficients of the load regulating effect and the value of the short-circuit power or the length of the supply cable. Separate operation was considered because in this mode, the influence of the regulating effect of a powerful load on the mode parameters becomes more pronounced. The scientific novelty of this study consists in an algorithm that allows refining the frequency deviation of an isolated electric power system, taking into account and without taking into account the static load characteristics when changing the length of the supply cable in the KATRAN software package. The main result of this study is the almost direct relationship revealed between the influence of static load characteristics on the network frequency and the distance of the load with a large proportion of synchronous motors from the power source in an autonomous electric power system. We also evaluated the feasibility of taking the regulatory effect of the load into account when calculating electrical modes depending on the type of load and the calculated value of the short-circuit power.