An analytical-numerical method for calculating the stationary thermal field in electrical systems with elliptical cross-sections

• Autorzy: Gołębiowski Jerzy , Zaręba Marek

Identyfikatory

DOI

10.24425/bpasts.2021.136738

• Języki publikacji: EN

Abstrakty

EN

In this article, an analytical-numerical approach to calculating a stationary thermal field in the elliptical region is presented. The eigenfunctions of the Laplace operator were determined analytically, whereas the coefficients of the eigenfunctions were obtained numerically. The cooling was modeled with 3rd kind (Hankel’s) boundary condition, where the total heat transfer coefficient was the sum of the convective and radiative components. The method was used to analyze the thermal field in an elliptical conductor and a dielectrically heated elliptical column. The basic parameters of these systems, i.e. their steady-state current rating and the maximum charge temperature, were determined. The results were verified using the finite element method and have been presented graphically.

Słowa kluczowe

EN

analytical-numerical methods of field theory; elliptical conductors; Poisson's equation

PL

metody teorii pola analityczno-numeryczne; przewodniki eliptyczne; równanie Poissona

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2021
• Tom: Vol. 69, nr 2
• Strony: art. no. e136738
• Opis fizyczny: Bibliogr. 27 poz., rys.

Twórcy

autor

Gołębiowski Jerzy

• Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland

autor

Zaręba Marek

• Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).