ISSN 1991-2927
 

ACP № 1 (59) 2020

'Automation of Control Processes' # 4 (58) 2019

Contents
AUTOMATED CONTROL SYSTEMS
УДК 621.377

Aleksandr Kupriianovich Ivanov, Doctor of Sciences in Engineering; graduated from the Faculty of Physics at Irkutsk State University, from the postgraduate studies at Bauman Moscow Technical School, from the Doctoral Studies at Ulyanovsk State Technical University; Chief Staff Scientist of FRPC JSC ‘RPA ‘Mars’; an author of monographs, text book, articles in the field of the mathematical modeling of hierarchical real-time computer- aided control systems. e-mail: mars@mv.ruA.K. Ivanov

Modeling spatial transformation of information resources of management bodies58_1.pdf

Differential models for information processes of management bodies are constructed, which take into consideration spatial distribution and data transformation. The various forms of heterogeneous data interaction with a diffusion propagation from a general function up to the Lotka-Volterra equation are considered. A procedure for researching models with a linearization at special points is described. Oscillatory conditions and information wave transmission are defined. The case of data generation at each point of management body at a logistic law is reduced to the Fisher equation. Diffusion equations with data generation at an exponential rate as well as diffusion equations with convective data propagation, and diffusion equations that take into consideration the generation and convective propagation are solved by methods of transformation of variables and sinus transformation. The approximate results are presented in graphical form. The developed set of mathematical models is aimed to improve the automation level of management bodies, to identify an optimal organization of officials’ activity. The prospects for formalizing the decision-making procedure is demonstrated.

Management bodies, information processes, mathematical modeling, differential equation systems.


УДК 519.72; 656.25; 621.377

Konstantin Nikolaevich Savinov, Candidate of Military Sciences, Associate Professor; graduated from the Military Academy of Logistics and Transport n.a. Army General A.V. Khrulyov; Head of the Department of Restoration of Automatic, Telemechanic, and Communication Devices on Railways of the Military Institute of Railway Troops and Military Communications of the Military Academy of Logistics Transport n.a. Army General A.V. Khruljov; an author articles, monographs, research projects in the field of technical protection of railways, restoration of railway automatic and telemechanic devices. e-mail: savinoff@mail.ruK.N. Savinov,

Vladimir Aleksandrovich Baboshin, Candidate of Sciences in Engineering; graduated from the Ulyanovsk Higher Military Command School of Communications; Associate Professor of the Department of Reconstruction of Automatic, Telemechanic, and Communication Devices on Railways at the Military Institute of Railway Troops and Military Communications of the Military Academy of Logistics and Transport n.a. Army General A.V. Khruljov; an author of articles, inventions in the field of analysis (synthesis) of information systems and mathematical modeling. e-mail: boboberst@mail.ruB.V. Aleksandrovich,

Roman Anatolevich Panteleev, graduated from the Military Transport Institute of Railway Troops and Military Communications; Lecturer at the Department of Reconstruction of Automatic, Telemechanic, and Communication Devices on Railways of the Military Institute of Railway Troops and Military Communications of the Military Academy of Logistics and Transport n.a. Army General A.V. Khruljov; an author of articles, inventions, research and methodological papers in the field of reconstruction of railway automatic and telemechanic devices. e-mail: pantel98@mail.ruR.A. Panteleev,

Viacheslav Gennadevich Kozlovskii, Candidate of Sciences in Engineering, Associate Professor; graduated from the Ulyanovsk Higher Military Command School of Communications, the S.M. Budjonny Military Academy of Signal Corps; Postgraduate of the Military Adjunct Department at the Ulyanovsk Higher Military Engineering School of Communications; Associate Professor at the Department of Telecommunication Technologies and Networks of Ulyanovsk State Technical University; an author of research papers and tutorials in the field of development and simulation of computer-aided control and communication systems. e-mail: saveli58@yandex.ruV.G. Kozlovskii

To the issue of reliability of a unified restoration complex of railway automation and telemechanics 58_2.pdf

The effectiveness of railway transport depends on the throughput and carrying capacity of stations and track facilities, and the effectiveness of the organization of the technological process at the station plays a decisive role. The article discusses the formation of requirements for a specialized recovery system for the safe regulation of train traffic at railway stations exposed to adverse factors, based on a systematic approach. To restore the elements of the railway infrastructure and organize the normal functioning of the devices and systems of railway automation and telemechanics (RAT), it is proposed to use the developed unified recovery complex (URC-RAT). Particular attention is paid to the consideration of the formation of the structure and assessment of the reliability parameters of the proposed URC-RAT. To justify the decision in the interests of ensuring the high efficiency of the structure of the developed system and determining the rational composition of URC-RAT as a complex organizational and technical system, it is necessary to consistently evaluate individual parameters based on the selected criteria. To do this, it is necessary to assess the characteristics of the reliability, survivability and safety of URC-RAT and determine the optimal operational values of the indicators.

System approach, railway station, complex organizational and technological system, railway automation and telemechanics, restoration, unified recovery complex, efficiency, reliability.


INFORMATION SYSTEMS
УДК 65.015

Vladimir Nikolaevich Naumov, Doctor of Military Sciences, Professor, Honored Scientist of the Russian Federation; graduated from the Faculty of Electronic Computer Equipment of the A.S. Popov Higher Naval School of Radioengineering; Head of the Business-Informatics Department of the North-West Institute of Management, the Branch of the Russian Presidential Academy of National Economy and Public Administration in St. Petersburg; an author of articles, monographs, tutorials in the field of system-oriented analysis of information systems, data analysis and machine learning. e-mail: naumov122@list.ruV.N. Naumov,

Pavel Vladimirovich Naumov, graduated from Peter the Great St. Petersburg Polytechnic University; Chief Developer of organizational and executive documentation at Shipbuilding&Shiprepair Technology Center; an author of articles in the field of risk management. e-mail: naumov@sstc.spb.ruP.V. Naumov

Forecasting the risks of information system design58_3.pdf

The article considers the problem of forecasting the risks of designing information systems based on the use of machine learning methods. The ensemble of methods allows us to estimate the quality of the solution of a problem using a set of indicators and select the best one. To solve it, the language R, the statistical platform SPSS, and the Orange Canvas system are used. Machine learning is based on the use of a synthetic training set, which includes categorical factors of possible design risks. The sample is formed and verified using the methods of cluster analysis and the principal component method.

Forecasting, information systems design, risks, machine learning, cluster analysis, principal component method, classification methods, classification quality indicators.


УДК 004.02:004.4’24

Viktor Nikolaevich Negoda, Doctor of Sciences in Engineering; graduated from Radioengineering Faculty of Ulyanovsk Technical Institute; Professor at the Department of Computer Engineering of Ulyanovsk State Technical University; an author of articles, monographs, certificates of authorship in the field of computer-aided design of embedded systems; research interests are in the field of computer-aided design of engineering systems with logical control. e-mail: nvn@ulstu.ruV.N. Negoda,

Anna Viacheslavovna Lylova, graduated from the Faculty of Information Systems and Technologies of Ulyanovsk State Technical University with the Master’s degree; Senior Lecturer at the Department of Computer Engineering of UlSTU, an author of articles in the field of computer-aided design of embedded systems; research interests are in the field of computer-aided design of engineering systems with logical control. e-mail: lylovaannav@gmail.comA.V. Lylova

Automation of choosing the design solutions for software implementation of logical functions58_4.pdf

The article deals with the scenario of choosing design solutions for software implementation of logical functions as well as technological aspects of automation of this process. According to the proposed scenario, for each initial representation of the functional dependence, a lot of implementation dependencies are built, which are divided into interpreted and directly executed. For each implementation solution, an analytical assessment of the values of the criterial parameters is formed, the main of which are the calculation time and memory costs. Further, by the method of exclusion, the space of design decisions is narrowed. The final choice of design decisions is made by the designer, whose activities are supported by the application in a web browser environment. The specifications of the generated set of design decisions are mapped into the set of graphical dialogue objects of the computer-aided design system. The graphical dialogue tools provide navigation on objects and control the launch of processes for updating the values of criteria parameters. The development of the interactive application is based on the use of Data Driven Design Technology and the D3.JS Javascript Library. The technology allows a fairly simple way to display the set of values of the criterial parameters of design decisions in a graphical representation of the space of options. The refinement of the values of the criteria parameters is based on prototyping using automatic program generation and profiling.

Implementation of logical functions, development based on models, choice of design solutions.


УДК 004.942

Vladislav Valerevich Moiseev, Postgraduate Student at the Department of Information Systems of Ulyanovsk State Technical University; graduated from the Faculty of Information Systems and Technologies of UlSTU; a lecturer at the College of Economics and Informatics of UlSTU; an author of articles in the field of data integration. e-mail: v.v.moiseev@ulstu.ruV.V. Moiseev,

Nadezhda Glebovna Yarushkina, Doctor of Sciences in Engineering, Professor; graduated from Ulyanovsk Polytechnic Institute; Acting Rector of UlSTU, Head of the Department of Information Systems at UlSTU; an author of more than 300 publications in the field of soft computing, fuzzy logic, and hybrid systems. e-mail: jng@ulstu.ruN.G. Yarushkina

Initial domain data model based on relational database58_5.pdf

This article describes the data model for obtaining information about the structure of a relational database. This model is useful for the task of reducing labor costs when designing and redesigning the existing software products. Currently, these processes are often accompanied by analysis of excessively large relational schemes, which ultimately increases development time. The model presented in the paper allows one to obtain data from a relational scheme that can subsequently be used to compile other more flexible formalizations. In addition, the model is expandable with extra parameters that cannot be obtained from the relational scheme, but which will be useful for the design task. The paper presents queries in SQL language for obtaining data on the structure of a relational database using the example of the SQL Server database management system and provides a comparative analysis of the proposed scheme in terms of volume and speed of formation with popular formats: DBML and EDMX.

Relational data schema, data model, SQL Server, EDM, DBML.


УДК 528.88

Vitalii Evgenevich Dementev, Candidate of Sciences in Engineering; graduatedfromthe Faculty of Radioengineering of Ulyanovsk State Technical University; Head of the Department of Telecommunications of UlSTU; an author of articles and patents in the field of statistical processing of multidimensional signals and information protection. e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. V.E. Dementev,

Dmitrii Sergeevich Kondratev, Postgraduate Student at the Department of Telecommunications of UlSTU; graduated from Radioengineering Faculty of UlSTU; an author of articles in the field of artificial intelligence and image processing. e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. D.S. Kondratev,

Anastasiia Sergeevna Streltsova, Postgraduate Student at the Department of Telecommunications of UlSTU; graduated from the Faculty of Mathematics, Informatics, and Aviation Technologies; Software Engineer at FRPC JSC ‘RPA Mars’, an author of articles in the field of thematic mapping the multi-zone satellite imagery as well as in information protection by applying the steganographic methods. e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. A.S. Streltsova

The object-trajectory tracking algorithm based on the combination of bayesian neural networks and nonlinear kalman filtration procedures58_6.pdf

The paper aims to develop software and algorithmic decisions allowing to detect automatically and track objects on video sequences obtained from unmanned aerial vehicles. For this purpose, authors studied the most productive neural network algorithms focused on the image segmentation and selection of various objects shown in these images. The article concluded that the advantages of Bayesian neural network procedures are important, which allow combining their operation results with other algorithms. The effectiveness of such combinations is quantified. Special attention is paid to the assessment of the possible object location on subsequent frames, taking into considerations its motion characteristics. To improve the object trajectory tracking, it is proposed to combine the results of Bayesian neural network algorithms and nonlinear Kalman filtering procedures aimed to track the objects moved including with variable acceleration. The article also deals with problems of software implementation of the proposed combination of algorithms. A comparative analysis of the obtained trajectory tracking algorithm with known solutions implemented in public OpenCV libraries is performed. The results of this comparison allow us to conclude that the proposed algorithm has significant advantages, so it opens us the possibility to recommend its application in real image-data processing systems.

Image segmentation, neural networks, nonlinear filter, object detecting, trajectory tracking.


MATHEMATICAL MODELING
УДК 004.932.4

Aleksandr Grigorevich Tashlinskii, Doctor of Sciences in Engineering, Professor; graduated from the Faculty of Radioengineering at Ulyanovsk Polytechnic Institute; Head of the Department of Radioengineering at Ulyanovsk State Technical University; an author of articles, monographs, and inventions in the field of digital signal-and- image processing. e-mail: tag@ulstu.ruA.G. Tashlinskii,

Galina Leonidovna Safina, Candidate of Sciences in Engineering; graduated from Faculty of Mathematics and Economics at Ulyanovsk State Technical University; Associate Professor of the Applied Mathematics Department at the Moscow State (National Research) University of Civil Engineering; an author of articles, monographs in the field of digital image processing and computer vision as well as of studying of the fluid flow in a porous medium. e-mail: minkinag@mail.ruG.L. Safina,

Roman Olegovich Kovalenko, Postgraduate Student at Ulyanovsk State Technical University; graduated from the Radioengineering Faculty of UlSTU; an author of articles in the field of parameter estimation of image deformation. e-mail: r.kovalenko.o@yandex.ruR.O. Kovalenko,

Mikhail Grigorevich Tsarev, Senior Lecturer at the Department of Radioengineering at Ulyanovsk State Technical University; graduated from the Faculty of Radioengineering of UlSTU; an author of articles in the field of parameter estimation of digital signal and image deformation. e-mail: michael.tsaryov@gmail.comM.G. Tsarev

Probabilistic finite modeling the stochastic estimation processes of interframe geometric image deformations58_7.pdf

A method of probabilistic finite modeling of the procedure for stochastic estimation of interframe geometric image deformation parameters is proposed. The method is based on the discretization of deformation parameters domain and determining at each iteration the estimation of the probability vector of estimates drift. Using the probability density method, the estimation of interframe image deformation parameters generated by an unidentified relay procedure for a given finite number of iterations is considered. The average square of the interframe difference and the interframe correlation coefficient were used as the cost estimation functions.

Stochastic estimation, iteration, probability, finite modeling, interframe deformations, parameters, estimate drift, probability distribution, correlation function.


УДК 519.863

Antonina Valerianovna Ganicheva, Candidate of Sciences in Physics and Mathematics; graduated from Kalinin State University; Associate Professor of the Department of Physics and Mathematics and Information Technologies of the Tver State Academy of Agricultural Sciences; an author of more than 150 publications in the field of mathematical modeling, optimization methods, artificial intelligence. e-mail: alexej.ganichev@yandex.ruA.V. Ganicheva

The modified lanchester’s model of fighting58_8.pdf

The mathematical model for the system description of military operations in the conditions of highly organized fight is developed. The General case of dependence of efficiency on time, characteristics of opposing units, dependence of superiority coefficient on time is considered. The system of differential inequalities is applied to receiving a recurrent formula. The recurrent formula is used to calculate the average number of sides, to estimate the main characteristics of the system (the necessary number of means, the time required to obtain the given numbers, the change in the coefficient of superiority of one side over the other depending on time). The efficiency of the sides is considered for any functional time dependence for continuous and discrete cases. The coefficient of superiority also depends on the time. For a small time interval in the model, it is possible to actually continuously monitor the change in the mean numbers. Efficiency of the parties and coefficients of superiority are considered as function of time. It is shown that the left and right bounds of interval estimates for the mean numbers have close values for the maximum and minimum efficiencies that differ little from each other. The error of result makes small percent.

Marked graph, a Poisson stream, density, efficiency, Markov process, a recurrent formula, superiority coefficient.


УДК 621.391.037.3

Dmitrii Vladimirovich Ganin, Candidate of Sciences in Economics; graduated from the Nizhny Novgorod Agricultural Academy; Vice-rector for Research and Innovation, Associate Professor of the Department of Infocommunication Technologies and Communication Systems of the Nizhny Novgorod State University of Engineering and Economics; an author of articles and patents of the Russian Federation in the field of noise- resistant coding and data recovery systems. e-mail: ngiei135@mail.ruD.V. Ganin,

Georgii Mikhailovich Tamrazian, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University; Engineer of Federal Research-and-Production Center Joint Stock Company ‘Research-and-Production Association ‘Mars’; an author of research papers, and patents in the field of noiseless coding and information security. e-mail: tamrazz@bk.ruG.M. Tamrazian,

Sergei Valentinovich Shakhtanov, Senior Lecturer of the Department of Infocommunication Technologies and Communication Systems of the Nizhny Novgorod State University of Engineering and Economics; an author of publications in the field of noise-resistant coding and information protection. e-mail: r155p@bk.ruS.V. Shakhtanov,

Basem Said,, Postgraduate Student of the Department of Telecommunications of Ulyanovsk State Technical University; graduated from UlSTU with a Master’s degree in Telecommunication Technologies and Communication Systems; an author of publications in the field of noise-resistant coding and information protection. e-mail: alsamery@mail.ruB. Said,

Anastasiia Denisovna Bakurova, Bachelor Student of the Department of Telecommunications of Ulyanovsk State Technical University in the field of Infocommunication Technologies and Communication Systems; an author of publications in the field of noise-resistant coding and information protection. e-mail: bakurova.ad@mail.ruA.D. Bakurova

A procedure for finding a set of degenerate matrices in a binary block code permutation system58_9.pdf

The features of permutation decoding (PD) of block noise-resistant codes in modern data exchange systems were discussed in articles [1–5]. The main of them are: asymptotically better in comparison with the known algorithms possibilities for error correction due to the full use of the redundancy introduced into the code; the possibility of using progressive technologies related to cognitive methods of data processing in relation to the decoding procedure; exceptions to the decoding procedure of complex algorithms for finding error locators and their subsequent correction; intelligible use of the properties of cyclic permutations of column numerators generating matrix codes in order to significantly reduce the memory of the cognitive card decoder. At the same time, several important directions in the use of the PD system remain undisclosed. Primarily, it is advisable to include such areas to research related to the search features of the cascade designs block codes, while a non-binary code is used at the outer processing stage and this appropriate binary block code is implemented at the internal stage. The main disadvantage of binary codes is the ambiguity of permutations of the column numerators of the generating matrices of such codes, which in some cases lead to the formation of degenerate information matrices, and do not provide an equivalent code in this case. For this reason, the identification of these permutations at the design stage of binary codecs is of fundamental importance. Authors pay a special attention to the methods of regular search of a set of degenerate matrices of arbitrary block codes in order to replace them promptly with benign permutations and to preserve the General rate of data processing in the system of cascade construction. This is very important for optical communication lines when implementing complex types of modulation in conjunction with the forward error correction.

Generating code matrix, permutation decoding, cognitive decoder map.


УДК 544.77.022.54

Anastasia Aleksandrovna Batanova, Postgraduate Student of Ulyanovsk State Technical University; graduated from the Faculty of Information Systems and Technologies of UlSTU; an author of articles in the field of modeling the elastic properties of colloidal crystals. e-mail: a.batanova73@mail.ruA.A. Batanova

Mathematical modeling of the elastic properties of colloidal crystals with isotropic initial stress58_10.pdf

The model assumptions are formulated to describe colloidal crystals with an isotropic initial stress. The approach to mathematical modeling of homogeneous deformation of the studied systems is considered. A method for determining the elastic constants of the first and second orders of colloidal crystals with an isotropic initial stress is proposed. The method is based on the determination of the numerical dependences of stress on deformation during a computational experiment. Based on the theory considered, an algorithm for determining the dependences of stress on strains as a function of crystal density is developed, model parameters are determined, and the design of a computational experiment is described. The proposed method can be used for computational experiments in a wide range of model parameters and is uniformly applicable to all three-dimensional and two-dimensional colloidal crystals with an isotropic initial stress, regardless of the type of lattice.

Colloidal crystal, mathematical modeling, homogeneous deformation, isotropic initial stress, Poisson-Boltzmann equation, elastic constants.


УДК 681.586

Cong Kiem Lyu, graduated from Ulyanovsk State Technical University with a Master’s degree in Instrument Engineering; Postgraduate Student at the Department of Measuring and Computing Systems of UlSTU; an author of articles in the field of air pressure probes of aircraft aerometric systems. e-mail: luucongkiem@gmail.comC.K. Lyu,

Ivan Petrovich Efimov, Candidate of Science in Engineering; graduated from the Faculty of Information Systems and Technologies at UlSTU; Associated Professor at the Department of Measuring and Computing Systems of UlSTU; an author of articles and inventions in the field of air pressure probes of aircraft aerometric systems. e-mail: eip@ulstu.ruI.P. Efimov

Flow-type static pressure probe simulation using ANSYS58_11.pdf

The article deals with the results of the flow-type air pressure probe simulation during various turbulent conditions using the ANSYS software. Based on the findings, conclusions were drawn up that when simulating air pressure probes, it is required to set turbulent flow characteristics, to select k-epsilon turbulence model, mesh size of 0.025 mm in the calculation with double precision. The dependence of convergence coefficient k of data after simulating and testing flow- type air pressure probes on turbulence intensity parameters is calculated. The results of aerodynamic tests of a flow-type static-pressure tube in the wind tunnel of Ulyanovsk Instrument Manufacturing Design Bureau, JSC, and its simulating in the ANSYS software are compared taking into consideration the convergence coefficient.

Ansys, k-epsilon, static pressure, air flow velocity, turbulence model, streamlined gas flow model, computational mesh, orifice coefficient, pressure coefficient, turbulence intensity, flow-type air pressure probe, mathematical modeling.


ELECTRICAL ENGINEERING AND ELECTRONICS
УДК 681.883.7

Oksana Vadimovna Maksimova, Candidate of Sciences in Engineering, Associate Professor; graduated from Ulyanovsk State Technical University; Head of the Department of Aviation Equipment of the Bugaev Ulyanovsk State Institute of Civil Aviation; an author of articles, monographs, and inventions in the field of optoelectronics and microwave engineering. e-mail: first32007@yandex.ruO.V. Maksimova,

Petr Valerevich Nikolaev, Postgraduate Student at the Department of Design and Technology of Electronic Devices of Ulyanovsk State Technical University; graduated from the Radioengineering Faculty of UlSTU; an author of articles, inventions in the field of optoelectronics and computer engineering. e-mail: nikollaew@mail.ruP.V. Nikolaev,

Mikhail Konstantinovich Samokhvalov, Doctor of Sciences in Physics and Mathematics, Professor at Ulyanovsk State Technical University; graduated from the Faculty of Physics of Chernyshevsky Saratov State University; an author of articles, monographs in the field of optoelectronics. e-mail: sam@ulstu.ruM.K. Samokhvalov

Methods and means for automated monitoring of thin film indicators58_12.pdf

The article deals with the algorithms, methods for measuring the structure parameters of thin-film electroluminescent indicators. An algorithm for determining threshold voltage and plotting current-brightness characteristics was created. The realization of this algorithm accelerates the parameters monitoring process when producing the known display equipment items and developing the new one based on thin-film electroluminescent indicators. The main aspects for a comprehensive approach to solve problems of measuring process automation of parameter values of thin-film electroluminescent indicator structures were identified. The features of the thin-film electroluminescent indicator performance were considered as a basis for building the structure of automated testers. The automation of experimental results processing at the software level was described. The key parameters of indicators were determined, automation problems of measuring processes were denoted. The algorithm for determining threshold voltage and plotting current-brightness characteristics of thin-film electroluminescent indicators in an automated mode was developed. The ideas explained in this article allow formulating the requirement specification on developing a device for automated measuring the thin-film electroluminescent element parameters as well as its components and software.

Thin-film indicator, brightness, automation, measurements, electroluminescence, thin films, algorithm.


УДК 621.3.011.7

Sergei Aleksandrovich Kurganov, Doctor of Sciences in Engineering; graduated from Ulyanovsk Polytechnic Institute with a degree in Design and Production of Radio Equipment; Professor of the Department of Electric Supply of UlSTU; an author of articles and monographs in the field of theoretical foundations of electrical engineering. e-mail: sak@ulstu.ruS.A. Kurganov

Formulas for the subcircuit element diagnostics in linear electrical circuits58_13.pdf

On the basis of the theorem on indirect compensation of subcircuits and a single experiment, formulas in the form of the ratio of circuit determinants for the diagnosis of subcircuits in electronic circuits are proposed. Formulas allow us to find unknown parameters of elements using measurements and calculations for the diagnosed subcircuit only, which reduces the amount of computational operations. Unknown parameters are obtained in the form of symbolic fractional-rational expressions containing known parameters and measured voltages and currents. The diagnostic circuit can contain arbitrary linear elements both bipolar and controlled voltage and current sources of all types, including ideal operational amplifiers- nullors. To obtain the desired parameters, it is possible to use known algorithms and programs of symbolic or numerical analysis of electrical circuits. An example of symbolic diagnostics of low-pass filter subcircuit elements is given.

Electric circuits, diagnostics, subcircuit, formulas for parameters, circuit determinants, nullors, circuit-algebraic formula.


УДК 621.3.011.71

Sergei Aleksandrovich Kurganov, Doctor of Sciences in Engineering; graduated from Ulyanovsk Polytechnic Institute with a degree in Design and Production of Radio Equipment; Professor of the Department of Electric Supply of Ulyanovsk State Technical University; an author of articles and monographs in the field of theoretical foundations of electrical engineering. e-mail: sak@ulstu.ruS.A. Kurganov,

Ivan Alekseevich Prokofev, graduated from Ulyanovsk State Technical University with Bachelor’s degree in Electric Power and Electrical Engineering; Master Student of the Department of Electric Supply of UlSTU; an author of articles in the field of theoretical foundations of electrical engineering. e-mail: prokofev.ivan.2015@yandex.ruI.A. Prokofev

Formula for finding the sensitivity functions of linear electrical circuits in parts58_14.pdf

A formula for finding symbolic expressions of sensitivity of arbitrary linear electrical circuits in parts by dividing the circuit into subsystems is proposed. Electrical circuits can contain both bipolar elements and controlled sources (UIs) of voltage and current including ideal UIs – nullors. The scheme division is performed on the basis of an equivalent multidimensional generator (EMG) by the scheme-algebraic reduction method. The circuit sensitivity formula contains the sensitivity quotients of the EMG elements or their numerators, which are found using the difference circuit-algebraic sensitivity formula. The proposed formula excludes reducing multipliers and zero terms, and it requires to find the symbolic functions of relative sensitivity of the disclosure of a much smaller number of determinants of subcircuits-circuit minors than the known sensitivity formula based on bisection of determinants.

Electrical circuits, sensitivity, symbolic function, piecemeal analysis, circuit determinants, partial sensitivity, equivalent multidimensional generator, circuit minor.


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