Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines

To improve the efficiency and safety (reliability) of power systems operation, system operators carry out calculations and analysis of the steady state modes of power flows of overhead power lines. The accuracy and speed of such calculations depends on the complexity and adequacy of the applied math...

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Главные авторы:	Danilov, M. I., Данилов, М. И., Romanenko, I. G., Романенко, И. Г.
Формат:	Статья
Язык:	English
Опубликовано:	Springer 2025
Темы:	Electrical power system Weather effects Steady state calculation Heat balance equation
Online-ссылка:	https://dspace.ncfu.ru/handle/123456789/30371
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spelling	ir-123456789-303712025-04-03T09:50:27Z Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines Danilov, M. I. Данилов, М. И. Romanenko, I. G. Романенко, И. Г. Electrical power system Weather effects Steady state calculation Heat balance equation To improve the efficiency and safety (reliability) of power systems operation, system operators carry out calculations and analysis of the steady state modes of power flows of overhead power lines. The accuracy and speed of such calculations depends on the complexity and adequacy of the applied mathematical models and technologies of their use. The accuracy can be increased by taking into account changes in the temperature of power line conductors that occur under the impact of power flows and weather effects. For this purpose, the heat balance equations of the line conductors are added to the traditional power flow expressions. The article discusses the well-known calculation methods for determining the temperature of the network line conductors; their shortcomings are noted. Anew approach is proposed, in which the temperature of the conductors is limited by the voltages of the power system network nodes. They are obtained taking into account the nonlinear heat balance equations. The problem of determining the power flows and temperature of the conductors of the power supply network of a given topology is formulated for known values of the parameters of the lines (at a temperature of 20°C) and functioning generators, including PV type sources, as well as climatic and geographical factors. Using the proposed method, a study of the power flows effect on the conductor temperature of the power system lines for the test circuit of the IEEE 5-bus network was made. The possibilities and usefulness of the proposed method in solving the problems of ensuring the stability and safety of the power system operation, in economic dispatching to compare possible operated and/or planned network schemes, as well as in identifying possible causes of unforeseen line failures are shown. The information obtained during the calculations expands the possibilities of controlling the electrical networks modes. 2025-04-03T09:49:06Z 2025-04-03T09:49:06Z 2025 Статья Danilov M.I., Romanenko I.G. Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines // Power Technology and Engineering. - 2025. - 58 (5). - рр. 847-855. - DOI: 10.1007/s10749-025-01892-5 https://dspace.ncfu.ru/handle/123456789/30371 en Power Technology and Engineering application/pdf Springer
institution	СКФУ
collection	Репозиторий
language	English
topic	Electrical power system Weather effects Steady state calculation Heat balance equation
spellingShingle	Electrical power system Weather effects Steady state calculation Heat balance equation Danilov, M. I. Данилов, М. И. Romanenko, I. G. Романенко, И. Г. Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines
description	To improve the efficiency and safety (reliability) of power systems operation, system operators carry out calculations and analysis of the steady state modes of power flows of overhead power lines. The accuracy and speed of such calculations depends on the complexity and adequacy of the applied mathematical models and technologies of their use. The accuracy can be increased by taking into account changes in the temperature of power line conductors that occur under the impact of power flows and weather effects. For this purpose, the heat balance equations of the line conductors are added to the traditional power flow expressions. The article discusses the well-known calculation methods for determining the temperature of the network line conductors; their shortcomings are noted. Anew approach is proposed, in which the temperature of the conductors is limited by the voltages of the power system network nodes. They are obtained taking into account the nonlinear heat balance equations. The problem of determining the power flows and temperature of the conductors of the power supply network of a given topology is formulated for known values of the parameters of the lines (at a temperature of 20°C) and functioning generators, including PV type sources, as well as climatic and geographical factors. Using the proposed method, a study of the power flows effect on the conductor temperature of the power system lines for the test circuit of the IEEE 5-bus network was made. The possibilities and usefulness of the proposed method in solving the problems of ensuring the stability and safety of the power system operation, in economic dispatching to compare possible operated and/or planned network schemes, as well as in identifying possible causes of unforeseen line failures are shown. The information obtained during the calculations expands the possibilities of controlling the electrical networks modes.
format	Статья
author	Danilov, M. I. Данилов, М. И. Romanenko, I. G. Романенко, И. Г.
author_facet	Danilov, M. I. Данилов, М. И. Romanenko, I. G. Романенко, И. Г.
author_sort	Danilov, M. I.
title	Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines
title_short	Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines
title_full	Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines
title_fullStr	Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines
title_full_unstemmed	Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines
title_sort	mathematical method for monitoring the thermal state of the conductors of overhead power lines
publisher	Springer
publishDate	2025
url	https://dspace.ncfu.ru/handle/123456789/30371
work_keys_str_mv	AT danilovmi mathematicalmethodformonitoringthethermalstateoftheconductorsofoverheadpowerlines AT danilovmi mathematicalmethodformonitoringthethermalstateoftheconductorsofoverheadpowerlines AT romanenkoig mathematicalmethodformonitoringthethermalstateoftheconductorsofoverheadpowerlines AT romanenkoig mathematicalmethodformonitoringthethermalstateoftheconductorsofoverheadpowerlines
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Mathematical Method for Monitoring the Thermal State of the Conductors of Overhead Power Lines

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