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...

Full description

Bibliographic Details
Main Authors: B. I. Kuznetsov, T. B. Nikitina, I. V. Bovdui
Format: Article
Language:English
Published: National Technical University "Kharkiv Polytechnic Institute" 2020-08-01
Series:Електротехніка і електромеханіка
Subjects:
Online Access:http://eie.khpi.edu.ua/article/view/2074-272X.2020.4.04/210554
id doaj-aebcebd84832465b80f2a4dd02e8c57f
record_format Article
spelling doaj-aebcebd84832465b80f2a4dd02e8c57f2021-07-02T13:03:29ZengNational Technical University "Kharkiv Polytechnic Institute"Електротехніка і електромеханіка2074-272X2309-34042020-08-014242910.20998/2074-272X.2020.4.04SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELDB. I. Kuznetsov0https://orcid.org/0000-0002-1100-095XT. B. Nikitina1https://orcid.org/0000-0002-9826-1123I. V. Bovdui2https://orcid.org/0000-0003-3508-9781State Institution "Institute of Technical Problems of Magnetism of the NAS of Ukraine" Kharkov National Automobile and Highway University State Institution "Institute of Technical Problems of Magnetism of the NAS of Ukraine" 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. http://eie.khpi.edu.ua/article/view/2074-272X.2020.4.04/210554overhead power linesmagnetic fieldsimplified mathematical modelcomputer simulationfield experimental research
collection DOAJ
language English
format Article
sources DOAJ
author B. I. Kuznetsov
T. B. Nikitina
I. V. Bovdui
spellingShingle B. I. Kuznetsov
T. B. Nikitina
I. V. Bovdui
SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD
Електротехніка і електромеханіка
overhead power lines
magnetic field
simplified mathematical model
computer simulation
field experimental research
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"
series Електротехніка і електромеханіка
issn 2074-272X
2309-3404
publishDate 2020-08-01
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.
topic overhead power lines
magnetic field
simplified mathematical model
computer simulation
field experimental research
url http://eie.khpi.edu.ua/article/view/2074-272X.2020.4.04/210554
work_keys_str_mv AT bikuznetsov simplifiedmathematicalmodelofgroupofoverheadpowerlinesmagneticfield
AT tbnikitina simplifiedmathematicalmodelofgroupofoverheadpowerlinesmagneticfield
AT ivbovdui simplifiedmathematicalmodelofgroupofoverheadpowerlinesmagneticfield
_version_ 1721329365729411072