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Abstract

This paper proposes a fast and accurate method for determining the electric potential and the radial and axial components of electric field intensity produced by a finite cylindrical surface charge distribution. The surface charge density has been modeled having a linear variation along the axial dimension of the cylinder. This consideration is very important when large bodies are to be modeled by means of an arrangement of elements (such as finite cylinders, disks, cones, etc.) allowing the matching between them and also avoiding discontinuities on charge distribution. The mathematical expressions presented in this paper have shown high computational performance while ensuring accurate and reliable results.

Keywords

Coulomb's law electric potential electric field semianalytic integral methods

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References

Maheswari

, Subburaj

, Vigneshwaran

and Kalaivani

, Non linear support vector machine based partial discharge patterns recognition using fractal features, Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology 27(5) (2014), 2649-2664.

Bai

Z.P.

, Numerical analysis of electromagnetic fields, Springer, 1993.

Diaz

and Mombello

, Semianalytic integral method for fast solution of current distribution in foil winding transformers, Magnetics, IEEE Transactions on 51 (Sept 2015), 1-9.

Díaz

, Mombello

and Stephan

, Magnetic vector potential and magnetic field intensity due to a finite current carrying cylinder considering a variable current density along its axial dimension, International Journal of Applied Electromagnetics and Mechanics 40(2) (2012), 133-147.

Díaz

and Mombello

, Magnetic field due to a finite current carrying disk considering a vari able current density along its radial dimension, International Journal of Applied Electromagnetics and Mechanics 42(1) (2013), 119-136.

Solin

, Dolezel

, Karban

and Ulrych

, Integral methods in low-frequency electromagnetics, John Wiley & Sons, 2009.

Kythe

P.K.

and Schäferkotter

M.R.

, Handbook of computational methods for integration. CRC Press, 2004.

Lozier

, Boisvert

and Clark

, Nist handbook of mathematical functions, Cambridge Univeristy Press, 2010.

Stegun

I.A.

and Abramowitz

, Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables. Dover Publications, 1964.

Electric field and electric potential due to a finite cylindrical surface charge distribution considering a linearly variable surface charge density

Abstract

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References