Comparison of heating curves of a rectangular busbar in different conditions of heat abstraction during the short-circuit heating

• Autorzy: Zaręba M.

Identyfikatory

DOI

10.24425/119061

• Języki publikacji: EN

Abstrakty

EN

The paper compares heating curves for a rectangular busbar in the conditions of convective and adiabatic heat transfer during short-circuit heating. Different coefficients of heat transfer from the external surface of the busbar and different busbar cross-sections have been assumed. This has allowed determining the error value occurring when the adiabatic rather than convective boundary condition is presumed at short circuit. The analysis takes into account a change of resistivity in the temperature function. The respective boundary-initial problems have been solved with analytical methods using Green’s function. The calculated results show that no considerable errors occur for long-lasting short circuits with an adiabatic rather than convective boundary condition.

Słowa kluczowe

EN

analytical methods; field theory; transient heat flow; short-circuit in leads; Green’s function

PL

metody analityczne; teoria pola; nieustalony przepływ ciepła; funkcja Greena

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2018
• Tom: Vol. 66, nr 1
• Strony: 79--85
• Opis fizyczny: Bibliogr. 18 poz., rys., wykr., tab.

Twórcy

autor

Zaręba M.

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

Bibliografia

• [1] S. Kulas, Current Ducts and Contact Systems, Warsaw University of Technology Publishing House, Warsaw, 2008, [in Polish].
• [2] H. Markiewicz, Electric Power Devices, WNT, Warsaw, 2016, [in Polish].
• [3] J. Maksymiuk and Z. Pochanke, Computation and Diagnostic Investigations of Power Distributing Apparatus, WNT, Warsaw, 2001, [in Polish].
• [4] K.D. Cole, A. Haji-Sheikh, J.V. Beck, and B. Litkouhi, Heat Conduction Using Green’s Functions, CRC Press, 2011.
• [5] D.G. Duffy, Green’s Function with Applications, CRC Press, 2015.
• [6] M.D. Greenberg, Applications of Green’s Function in Science and Engineering, Dover Publications, USA, 2015.
• [7] K. Gnidzinska, G. de Mey, and A. Napieralski, “Heat dissipation and temperature distribution in long interconnect lines”, Bull. Pol. Ac.: Tech. 58 (1), 119‒124, (2010).
• [8] G.J. Anders, Rating of Electric Power Cables: Ampacity Computations for Transmission, Distribution, and Industrial Applications, McGraw-Hill Professional, New York, 1997.
• [9] N.W. Ashcroft and N.D. Mermin, Solid State Physics, Holt-Saunders International Editions, Japan, 1981.
• [10] M.J. Latif, Heat Conduction, Springer-Verlag, Haidelberg, 2009.
• [11] M.D. Baehr and K. Stephan, Heat and Mass Transfer, Springer-Verlag, Heidelberg, 2006.
• [12] D.W. Hahn and M.N. Ozisik, Heat Conduction, John Wiley & Sons, New Jersey, 2012.
• [13] A. Brykalski, “Ein Beitrag zur Bestimmung der mittleren Zeitkonstante von Diffusionsprozessen”, International Journal of Heat and Mass Transfer 28 (3), 13‒620 (1985).
• [14] W. Lipiński and J. Golębiowski, “Modeling of electromagnetic shield dynamics”, IEEE Transactions on Magnetics 16 (6), 1419‒1422 (1986).
• [15] P. Wellin, Essentials of Programming in Mathematica, Cambridge University Press, UK, 2014.
• [16] Wolfram Research, Inc., Mathematica, Version 10.4, Champaign, IL, 2016.
• [17] S. Brenner and R.L. Scott, The Mathematical Theory of Finite Element Methods, Springer, Berlin, 2008.
• [18] K.J. Bathe, Finite-Elemente Methoden, Springer-Verlag, Berlin, 1990.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).