MATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION

Purpose. The work proposed for the modeling of transients in Lehera line uses a modified Hamilton-Ostrogradskiy principle. The above approach makes it possible to avoid the decomposition of a single dynamic system that allows you to take into account some subtle hidden movements. This is true for sy...

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Autores principales:	A.V. Chaban, V.R. Levoniuk, I.M. Drobot, A.F. Herman
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2016
Materias:	Hamilton-Ostrogradskiy principle Euler-Lag¬range equation electric power system power line with distributed parameters mathematical modeling Euler-Lagrange equation Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/53a0d72718bc4735b300ce27ee77a6c6
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spelling	oai:doaj.org-article:53a0d72718bc4735b300ce27ee77a6c62021-12-02T14:54:32ZMATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION10.20998/2074-272X.2016.3.052074-272X2309-3404https://doaj.org/article/53a0d72718bc4735b300ce27ee77a6c62016-06-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/2074-272X.2016.3.05/67619https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404Purpose. The work proposed for the modeling of transients in Lehera line uses a modified Hamilton-Ostrogradskiy principle. The above approach makes it possible to avoid the decomposition of a single dynamic system that allows you to take into account some subtle hidden movements. This is true for systems with distributed parameters, which in the current work we are considering. Methodology. Based on our developed new interdisciplinary method of mathematical modeling of dynamic systems, based on the principle of modified Hamilton-Ostrogradskiy and expansion of the latter on the non-conservative dissipative systems, build mathematical model Lehera line. The model allows to analyze transient electromagnetic processes in power lines. Results. In this work the model used for the study of transients in the non-working condition Lehera line. Analyzing the results shows that our proposed approach and developed based on a mathematical model is appropriate, certifying physical principles regarding electrodynamics of wave processes in long power lines. Presented in 3D format, time-space distribution function of current and voltage that gives the most information about wave processes in Lehera line at non-working condition go. Originality. The originality of the paper is that the method of finding the boundary conditions of the third kind (Poincare conditions) taking into account all differential equations of electric power system, i.e. to find the boundary conditions at the end of the line involves all object equation. This approach enables the analysis of any electric systems. Practical value. Practical application is that the wave processes in lines affect the various kinds of electrical devices, proper investigation of wave processes is the theme of the present work. A.V. ChabanV.R. LevoniukI.M. DrobotA.F. HermanNational Technical University "Kharkiv Polytechnic Institute"articleHamilton-Ostrogradskiy principleEuler-Lag¬range equationelectric power systempower line with distributed parametersmathematical modelingEuler-Lagrange equationpower line with distributed parametersElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Iss 3, Pp 30-35 (2016)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	Hamilton-Ostrogradskiy principle Euler-Lag¬range equation electric power system power line with distributed parameters mathematical modeling Euler-Lagrange equation power line with distributed parameters Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Hamilton-Ostrogradskiy principle Euler-Lag¬range equation electric power system power line with distributed parameters mathematical modeling Euler-Lagrange equation power line with distributed parameters Electrical engineering. Electronics. Nuclear engineering TK1-9971 A.V. Chaban V.R. Levoniuk I.M. Drobot A.F. Herman MATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION
description	Purpose. The work proposed for the modeling of transients in Lehera line uses a modified Hamilton-Ostrogradskiy principle. The above approach makes it possible to avoid the decomposition of a single dynamic system that allows you to take into account some subtle hidden movements. This is true for systems with distributed parameters, which in the current work we are considering. Methodology. Based on our developed new interdisciplinary method of mathematical modeling of dynamic systems, based on the principle of modified Hamilton-Ostrogradskiy and expansion of the latter on the non-conservative dissipative systems, build mathematical model Lehera line. The model allows to analyze transient electromagnetic processes in power lines. Results. In this work the model used for the study of transients in the non-working condition Lehera line. Analyzing the results shows that our proposed approach and developed based on a mathematical model is appropriate, certifying physical principles regarding electrodynamics of wave processes in long power lines. Presented in 3D format, time-space distribution function of current and voltage that gives the most information about wave processes in Lehera line at non-working condition go. Originality. The originality of the paper is that the method of finding the boundary conditions of the third kind (Poincare conditions) taking into account all differential equations of electric power system, i.e. to find the boundary conditions at the end of the line involves all object equation. This approach enables the analysis of any electric systems. Practical value. Practical application is that the wave processes in lines affect the various kinds of electrical devices, proper investigation of wave processes is the theme of the present work.
format	article
author	A.V. Chaban V.R. Levoniuk I.M. Drobot A.F. Herman
author_facet	A.V. Chaban V.R. Levoniuk I.M. Drobot A.F. Herman
author_sort	A.V. Chaban
title	MATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION
title_short	MATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION
title_full	MATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION
title_fullStr	MATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION
title_full_unstemmed	MATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION
title_sort	mathematical model of electromagnetic processes in lehera line at open-circuit operation
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2016
url	https://doaj.org/article/53a0d72718bc4735b300ce27ee77a6c6
work_keys_str_mv	AT avchaban mathematicalmodelofelectromagneticprocessesinleheralineatopencircuitoperation AT vrlevoniuk mathematicalmodelofelectromagneticprocessesinleheralineatopencircuitoperation AT imdrobot mathematicalmodelofelectromagneticprocessesinleheralineatopencircuitoperation AT afherman mathematicalmodelofelectromagneticprocessesinleheralineatopencircuitoperation
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MATHEMATICAL MODEL OF ELECTROMAGNETIC PROCESSES IN LEHERA LINE AT OPEN-CIRCUIT OPERATION

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