Details

Title

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

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2021

Volume

69

Issue

2

Authors

Affiliation

Gołębiowski, Jerzy : Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland ; Zaręba, Marek : Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland

Keywords

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

Divisions of PAS

Nauki Techniczne

Coverage

e136738

Bibliography

  1.  V.T. Morgan, “The current distribution, resistance and internal inductance of linear power system conductors – a review of explicit equations”, IEEE Trans. Power Deliv. 28(3), 1252‒1262 (2013).
  2.  R. Suchtanke, Alternating current loss measurement of power cable conductors with large cross sections using electrical methods, Doctoral dissertation, Technischen Universität, Berlin, 2008.
  3.  R. Sikora, J. Purczyński, and W. Lipiński, “Das magnetische Feld des gleich-stromdurchflossenen Leiters von elliptischen Querschnitt”, Arch. Elektrotechnik 55, 223‒226 (1973).
  4.  Prasanna Shinde, Jitendra Shukla, and E. Rajkumar, “Busbar profile optimization using finite element analysis”, Int. J. Mech. Prod. Eng. 6(2), 30‒32 (2018).
  5.  J. Purczyński and R. Sikora, “Application of the Ritz method to calculate the capacity” (in Polish), Arch. Electr. Eng. 22, 611‒619 (1973).
  6.  W. Peterson, “Calculation of the impedance of a conductor with an elliptic cross-section in the slot of an electric machine”, Arch. Elektrotechnik 60, 63‒68 (1978).
  7.  W. Peterson, “Electrodynamic forces acting on a conductor with elliptic cross-section in the slot of an electric machine”, Arch. Elektrotechnik 63, 135‒139 (1981).
  8.  Z.-C. Li, L.-P. Zhang, Y. Wei, M.-G. Lee, and J.Y. Chiang, “Boundary methods for Dirichlet problems of Laplace’s equation in elliptic domains with elliptic holes”, Eng. Anal. Bound. Elem. 61, 91‒103 (2015).
  9.  L.-P. Zhang, Zi.-C. Li, and M.-G. Lee, “Boundary methods for mixed boundary problems of Laplace’s equation in elliptic domains with elliptic holes”, Eng. Anal. Bound. Elem. 63, 92‒104 (2016).
  10.  P. Rolicz, “Eddy currents in an elliptic conductor by a transverse alternating magnetic field”, Arch. Elektrotechnik 68, 423‒431 (1985).
  11.  H. Ragueb, “An analytical study of the periodic laminar forced convection of non-Newtonian nanofluid flow inside an elliptical duct”, Int. J. Heat Mass Transf. 127, 469‒483 (2018).
  12.  M. Benmerkhi, M. Afrid, and D. Groulx, “Thermally developing forced convection in a metal foam-filled elliptic annulus”, Int. J. Heat Mass Transf. 97, 253‒269 (2016).
  13.  F.M. Mahfouz, “Heat conduction within an elliptic annulus heated at either CWT or CHF”, Appl. Math. Comput. 266, 357‒368 (2015).
  14.  W. Piguang, Z. Mi, and D. Xiuli, “Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water”, Ocean Eng. 148, 149‒160 (2018).
  15.  M.N. Ozisik, Heat Conduction, John Wiley & Sons, New York, 1980.
  16.  P. Moon and D.E. Spencer, Field theory for engineers, D. Van Nostrand Company, Inc., Princeton, New York, 1961.
  17.  M.J. Latif, Heat conduction, Springer-Verlag, Haidelberg, 2009.
  18.  L.C. Evans, Partial differential equations, American Mathematical Society Providence, Rhode Islands, 2010.
  19.  D.W. Hahn and M.N. Ozisik, Heat Conduction, John Wiley & Sons, New Jersey, 2012.
  20.  A. Abramowitz and I.A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, Dover Publications, Inc., New York, 1972.
  21.  Wolfram Research, Inc., Mathematica, Illinois: Wolfram Research Inc., 2018.
  22.  G.J. Anders, Rating of electric power cables: ampacity computations for transmission, distribution, and industrial applications, McGraw- Hill Professional, New York, 1997.
  23.  M. Hering, Fundamentals of electroheat (part 2), Wydawnictwo Naukowo-Techniczne, Warsaw, 1998, [in Polish].
  24.  P. Nithiarasu, R.W. Lewis, and K.N. Seetharamu, Fundamentals of the finite element method for heat and mass transfer, John Wiley & Sons, 2016.
  25.  A. Steckiewicz, J.M. Stankiewicz, and A. Choroszucho, “Numerical and circuit modeling of the low-power periodic WPT systems”, Energies 13(10), 1‒17 (2020).
  26.  S. Brenner and R.L. Scott, The mathematical theory of finite element methods, Springer, Berlin, 2008.
  27.  S. Berhausen and S. Paszek, “Use of the finite element method for parameter estimation of the circuit model of a high power synchronous generator”, Bull. Pol. Acad. Sci. Tech. Sci. 63(3), 575‒582 (2015).

Date

10.03.2021

Type

Article

Identifier

DOI: 10.24425/bpasts.2021.136738

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2021; 69; 2; e136738
×