SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD

Aim. The method for design of simplified mathematical model of the group of overhead power lines magnetic field allowing to reduce the number of conductors which are taken into account in the model and field and allowing to reduce the sensitivity of the model to plant parameters uncertainty is devel...

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Autores principales:	B. I. Kuznetsov, T. B. Nikitina, I. V. Bovdui
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2020
Materias:	overhead power lines magnetic field simplified mathematical model computer simulation field experimental research Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/aebcebd84832465b80f2a4dd02e8c57f
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spelling	oai:doaj.org-article:aebcebd84832465b80f2a4dd02e8c57f2021-12-02T16:18:37ZSIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD10.20998/2074-272X.2020.4.042074-272X2309-3404https://doaj.org/article/aebcebd84832465b80f2a4dd02e8c57f2020-08-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/2074-272X.2020.4.04/210554https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404Aim. The method for design of simplified mathematical model of the group of overhead power lines magnetic field allowing to reduce the number of conductors which are taken into account in the model and field and allowing to reduce the sensitivity of the model to plant parameters uncertainty is developed. Methodology. The method based on the multi-criteria game decision, in which the payoff vector is calculated on the basis of the Maxwell equations quasi-stationary approximation solutions. The game decision based on the stochastic particles multiswarm optimization algorithms. The implementation of the method is carried out when determining the number, configuration, spatial arrangement and currents in conductors based on simplified mathematical model of the group of overhead power line magnetic field in a given space area. Results. Computer simulation and field experimental research results of simplified mathematical model on the example of the group of four overhead power lines magnetic field including 21 conductors where based on the developed simplified mathematical model of the magnetic field, the number of conductors taken into account in the model is reduced to 6, and the modeling error does not exceed 4 %. Originality. For the first time the method for design of simplified mathematical model of the group of overhead power lines magnetic field based on the stochastic particles multiswarm optimization algorithms, which allows to significantly simplify the simulation by reducing the number of conductors that are taken into account in the model and to reduce the sensitivity of the model to plant parameters uncertainty, and at the same time limit the modeling error at the engineering level to 5-10 %. Practical value. Practical recommendations on reasonable choice of the minimal number, configuration, spatial arrangement and currents in conductors for the simplified mathematical model of the group of overhead power line magnetic field. B. I. KuznetsovT. B. NikitinaI. V. BovduiNational Technical University "Kharkiv Polytechnic Institute"articleoverhead power linesmagnetic fieldsimplified mathematical modelcomputer simulationfield experimental researchElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Iss 4, Pp 24-29 (2020)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	overhead power lines magnetic field simplified mathematical model computer simulation field experimental research Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	overhead power lines magnetic field simplified mathematical model computer simulation field experimental research Electrical engineering. Electronics. Nuclear engineering TK1-9971 B. I. Kuznetsov T. B. Nikitina I. V. Bovdui SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD
description	Aim. The method for design of simplified mathematical model of the group of overhead power lines magnetic field allowing to reduce the number of conductors which are taken into account in the model and field and allowing to reduce the sensitivity of the model to plant parameters uncertainty is developed. Methodology. The method based on the multi-criteria game decision, in which the payoff vector is calculated on the basis of the Maxwell equations quasi-stationary approximation solutions. The game decision based on the stochastic particles multiswarm optimization algorithms. The implementation of the method is carried out when determining the number, configuration, spatial arrangement and currents in conductors based on simplified mathematical model of the group of overhead power line magnetic field in a given space area. Results. Computer simulation and field experimental research results of simplified mathematical model on the example of the group of four overhead power lines magnetic field including 21 conductors where based on the developed simplified mathematical model of the magnetic field, the number of conductors taken into account in the model is reduced to 6, and the modeling error does not exceed 4 %. Originality. For the first time the method for design of simplified mathematical model of the group of overhead power lines magnetic field based on the stochastic particles multiswarm optimization algorithms, which allows to significantly simplify the simulation by reducing the number of conductors that are taken into account in the model and to reduce the sensitivity of the model to plant parameters uncertainty, and at the same time limit the modeling error at the engineering level to 5-10 %. Practical value. Practical recommendations on reasonable choice of the minimal number, configuration, spatial arrangement and currents in conductors for the simplified mathematical model of the group of overhead power line magnetic field.
format	article
author	B. I. Kuznetsov T. B. Nikitina I. V. Bovdui
author_facet	B. I. Kuznetsov T. B. Nikitina I. V. Bovdui
author_sort	B. I. Kuznetsov
title	SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD
title_short	SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD
title_full	SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD
title_fullStr	SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD
title_full_unstemmed	SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD
title_sort	simplified mathematical model of group of overhead power lines magnetic field
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2020
url	https://doaj.org/article/aebcebd84832465b80f2a4dd02e8c57f
work_keys_str_mv	AT bikuznetsov simplifiedmathematicalmodelofgroupofoverheadpowerlinesmagneticfield AT tbnikitina simplifiedmathematicalmodelofgroupofoverheadpowerlinesmagneticfield AT ivbovdui simplifiedmathematicalmodelofgroupofoverheadpowerlinesmagneticfield
_version_	1718384192103907328

SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD

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