The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation

The paper determines the stationary thermal field in an elliptical cross-section electric conductor coated with insulation. Heat is generated by the flow of alternating current (AC) through the conducting core, and then dissipated from the insulation surface via convection and radiation. The authors...

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Autores principales:	Jerzy Gołębiowski, Marek Zaręba
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	analytical–numerical method stationary thermal field insulated elliptical conductor steady-state current rating Technology T
Acceso en línea:	https://doaj.org/article/98bfc5abd78544f2990e5c17964bda97
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spelling	oai:doaj.org-article:98bfc5abd78544f2990e5c17964bda972021-11-11T15:43:47ZThe Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation10.3390/en142168801996-1073https://doaj.org/article/98bfc5abd78544f2990e5c17964bda972021-10-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/21/6880https://doaj.org/toc/1996-1073The paper determines the stationary thermal field in an elliptical cross-section electric conductor coated with insulation. Heat is generated by the flow of alternating current (AC) through the conducting core, and then dissipated from the insulation surface via convection and radiation. The authors have developed an original method for hybrid (analytical–numerical) modeling of a field. This method has been used to solve the relevant boundary problem of Poisson’s equation. While the eigenfunctions of the Laplace operator were determined analytically, the coefficients of the eigenfunctions were calculated by iteratively solving an appropriate system of algebraic equations. The proposed method enables the analysis of systems with an elliptical geometry and a heterogeneous layered structure (e.g., air, aluminum alloy, PCV), and does not require area discretization (grid). The developed analytical–numerical (AN) method has been positively verified using finite elements (FEs). The determined thermal field is illustrated graphically. The obtained solution has a good physical interpretation.Jerzy GołębiowskiMarek ZarębaMDPI AGarticleanalytical–numerical methodstationary thermal fieldinsulated elliptical conductorsteady-state current ratingTechnologyTENEnergies, Vol 14, Iss 6880, p 6880 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	analytical–numerical method stationary thermal field insulated elliptical conductor steady-state current rating Technology T
spellingShingle	analytical–numerical method stationary thermal field insulated elliptical conductor steady-state current rating Technology T Jerzy Gołębiowski Marek Zaręba The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation
description	The paper determines the stationary thermal field in an elliptical cross-section electric conductor coated with insulation. Heat is generated by the flow of alternating current (AC) through the conducting core, and then dissipated from the insulation surface via convection and radiation. The authors have developed an original method for hybrid (analytical–numerical) modeling of a field. This method has been used to solve the relevant boundary problem of Poisson’s equation. While the eigenfunctions of the Laplace operator were determined analytically, the coefficients of the eigenfunctions were calculated by iteratively solving an appropriate system of algebraic equations. The proposed method enables the analysis of systems with an elliptical geometry and a heterogeneous layered structure (e.g., air, aluminum alloy, PCV), and does not require area discretization (grid). The developed analytical–numerical (AN) method has been positively verified using finite elements (FEs). The determined thermal field is illustrated graphically. The obtained solution has a good physical interpretation.
format	article
author	Jerzy Gołębiowski Marek Zaręba
author_facet	Jerzy Gołębiowski Marek Zaręba
author_sort	Jerzy Gołębiowski
title	The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation
title_short	The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation
title_full	The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation
title_fullStr	The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation
title_full_unstemmed	The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation
title_sort	distribution of the thermal field in an elliptical electric conductor coated with insulation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/98bfc5abd78544f2990e5c17964bda97
work_keys_str_mv	AT jerzygołebiowski thedistributionofthethermalfieldinanellipticalelectricconductorcoatedwithinsulation AT marekzareba thedistributionofthethermalfieldinanellipticalelectricconductorcoatedwithinsulation AT jerzygołebiowski distributionofthethermalfieldinanellipticalelectricconductorcoatedwithinsulation AT marekzareba distributionofthethermalfieldinanellipticalelectricconductorcoatedwithinsulation
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The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation

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