Transient Currents in a Double Conductor Line above a Conducting Half-Space
Transient eddy current problem is solved in the
present paper by the method of the Laplace transform for the case of
a double conductor line located parallel to a conducting half-space.
The Fourier sine and cosine integral transforms are used in order to
find the Laplace transform of the solution. The inverse Laplace
transform of the solution is found in closed form. The integrated
electromotive force per unit length of the double conductor line is
calculated in the form of an improper integral.
[1] C.V. Dodd, and W.E. Deeds, "Analytical solutions to eddy-current
probe-coil problems", J. Appl. Phys., vol. 39, pp. 2829-2838, 1968.
[2] J. A. Tegopoulos, and E.E. Kriezis, Eddy currents in linear conducting
media. New York: Elsevier, 1985.
[3] M.Ya. Antimirov, A.A. Kolyshkin, and R. Vaillancourt, Mathematical
models for eddy current testing. Montreal: CRM, 1997.
[4] T.P. Theodoulidis, and E.E. Kriezis, Eddy current canonical problems
(with applications to nondestructive evaluation). New York: Tech
Science Press, 2006.
[5] J.R. Wait, "Propagation of electromagnetic pulses in a homogeneous
conducting earth", Appl. Sci. Res., vol. 8, pp. 213-253, 1960.
[6] A.F. Chub, N.L. Bondarenko, and A.P. Stipura, "Nonstationary
electromagnetic field of a coil located above a ferromagnetic halfspace",
Soviet J. Nondestructive Testing, vol. 13, pp. 328-334, 1977
[7] R. Ludwig, and X.W. Dai, "Numerical and analytical modeling of
pulsed eddy-currents in a conducting half-space", IEEE Trans. Magn.,
vol. 26, pp. 299-307, 1990.
[8] J. Bowler, and M. Johnson, "Pulsed eddy-current response to a
conducting half-space", IEEE Trans. Magn., vol. 33, pp. 2258-2264,
2006.
[9] N.N Zatsepin, and V.M. Tatarnikov, "Theory of a superposed
transducer", Soviet J. Nondestructive Testing, vol. 18, pp. 81-87, 1982.
[10] M. Abramowitz, and I.A. Stegun, Handbook of mathematical functions
with formulas, graphs and mathematical tables. New York: Wiley,
1972.
[1] C.V. Dodd, and W.E. Deeds, "Analytical solutions to eddy-current
probe-coil problems", J. Appl. Phys., vol. 39, pp. 2829-2838, 1968.
[2] J. A. Tegopoulos, and E.E. Kriezis, Eddy currents in linear conducting
media. New York: Elsevier, 1985.
[3] M.Ya. Antimirov, A.A. Kolyshkin, and R. Vaillancourt, Mathematical
models for eddy current testing. Montreal: CRM, 1997.
[4] T.P. Theodoulidis, and E.E. Kriezis, Eddy current canonical problems
(with applications to nondestructive evaluation). New York: Tech
Science Press, 2006.
[5] J.R. Wait, "Propagation of electromagnetic pulses in a homogeneous
conducting earth", Appl. Sci. Res., vol. 8, pp. 213-253, 1960.
[6] A.F. Chub, N.L. Bondarenko, and A.P. Stipura, "Nonstationary
electromagnetic field of a coil located above a ferromagnetic halfspace",
Soviet J. Nondestructive Testing, vol. 13, pp. 328-334, 1977
[7] R. Ludwig, and X.W. Dai, "Numerical and analytical modeling of
pulsed eddy-currents in a conducting half-space", IEEE Trans. Magn.,
vol. 26, pp. 299-307, 1990.
[8] J. Bowler, and M. Johnson, "Pulsed eddy-current response to a
conducting half-space", IEEE Trans. Magn., vol. 33, pp. 2258-2264,
2006.
[9] N.N Zatsepin, and V.M. Tatarnikov, "Theory of a superposed
transducer", Soviet J. Nondestructive Testing, vol. 18, pp. 81-87, 1982.
[10] M. Abramowitz, and I.A. Stegun, Handbook of mathematical functions
with formulas, graphs and mathematical tables. New York: Wiley,
1972.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:62904", author = "Valentina Koliskina and Inta Volodko", title = "Transient Currents in a Double Conductor Line above a Conducting Half-Space", abstract = "Transient eddy current problem is solved in the
present paper by the method of the Laplace transform for the case of
a double conductor line located parallel to a conducting half-space.
The Fourier sine and cosine integral transforms are used in order to
find the Laplace transform of the solution. The inverse Laplace
transform of the solution is found in closed form. The integrated
electromotive force per unit length of the double conductor line is
calculated in the form of an improper integral.", keywords = "Transient eddy currents, Laplace transform, double
conductor line.", volume = "6", number = "4", pages = "482-5", }