Simulation models of a dissipative transmission line above a lossy ground for a wide-frequency range. I. Single conductor configuration

For pt. I see ibid., vol.38, no.2, p.127, 1996. The simulation model of a multiconductor dissipative line above a lossy ground, based on the exact formulation of the Maxwell equations, is proposed for a wide frequency range. The procedure is an extension of the analysis of single conductor configurations. The exact expression of the matrix modal equation of the line is first proposed, assuming that in the system there are as many dominant discrete modes of propagation as there are conductors. New expressions of the distributed series-impedance and shunt-admittance matrices are proposed, with reference to the definition of the wire-to-ground voltage. Moreover, an easy-to-implement simulation model is proposed for use in computer codes, based on the logarithmic approximation of the Sommerfeld integrals and Bessel functions. Applications are carried out in order to compare the results of the proposed procedure and of the Carson (1926) theory, with reference to a three-conductor line above a lossy ground.

[1]  Electromagnetic-wave propagation along a horizontal wire above ground , 1972 .

[2]  L. M. Wedepohl,et al.  Wave propagation in transmission lines over lossy ground: a new, complete field solution , 1978 .

[3]  M. D'Amore,et al.  Time response of a network containing field-excited multiconductor lossy lines with nonlinear loads , 1993, 1993 International Symposium on Electromagnetic Compatibility.

[4]  Lotfollah Shafai,et al.  Plane wave coupling to multiple conductor transmission lines above a lossy earth , 1989 .

[5]  David C. Chang,et al.  Modal theory of long horizontal wire structures above the earth: 1, Excitation , 1978 .

[6]  J. R. Wait.  Tutorial note on the general transmission line theory for a thin wire above the ground , 1991 .

[7]  J. R. Carson.  Wave propagation in overhead wires with ground return , 1926 .

[8]  A. E. Efthymiadis,et al.  Propagation characteristics of infinitely-long single-conductor lines by the complete field solution method , 1978 .

[9]  E. Sunde.  Earth conduction effects in transmission systems , 1949 .

[10]  Edward F. Vance,et al.  Coupling to shielded cables , 1978 .

[11]  Flavio Canavero,et al.  Spectral Theory of Transmission Lines in Presence of External Electromagnetic Sources , 1988 .

[12]  David C. Chang,et al.  Excitation of an infinite antenna above a dissipative earth , 1975 .

[13]  G. E. Bridges,et al.  Transient plane wave coupling to bare and insulated cables buried in a lossy half-space , 1995 .

[14]  David C. Chang,et al.  ELECTROMAGNETIC WAVE PROPAGATION ALONG HORIZONTAL WIRE SYSTEMS IN OR NEAR A LAYERED EARTH , 1981 .

[15]  K. C. Chen,et al.  Accuracy of approximate transmission line formulas for overhead wires , 1989 .

[16]  James R. Wait.  Theory of Wave Propagation Along a Thin Wire Parallel to An Interface , 1972 .

[17]  Adam Semlyen,et al.  Ground Return Parameters of Transmission Lines an Asymptotic Analysis for Very High Frequencies , 1981, IEEE Transactions on Power Apparatus and Systems.

[18]  Marc Heddebaut,et al.  Propagation Along a Line Parallel to the Ground Surface: Comparison Between the Exact Solution and the Quasi-TEM EM Approximation , 1983, IEEE Transactions on Electromagnetic Compatibility.

[19]  Daniël De Zutter,et al.  High-frequency transmission line models for a thin wire above a conducting ground , 1995 .

[20]  David C. Chang,et al.  Modal theory of long horizontal wire structures above the earth: 2, Properties of discrete modes , 1978 .