Electromagnetic field coupling to a line of finite length: theory and fast iterative solutions in frequency and time domains

• Published in: IEEE transactions on electromagnetic compatibility Vol. 37; no. 4; pp. 509 - 518
• Main Authors: Tkatchenko, S., Rachidi, F., Ianoz, M.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-11-1995; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Electromagnetic compatibility; Electromagnetic coupling; Electromagnetic fields; Electromagnetic scattering; Exact sciences and technology; Frequency; Geometry; Information, signal and communications theory; Integral equations; Light scattering; Senior members; Telecommunications and information theory; Voltage; Wire; Perturbation theory; Transmission line; Electromagnetic compatibility; Iterative method; Electromagnetic field; Integrodifferential equation; Computing method; Electromagnetic coupling
• ISSN: 0018-9375; 1558-187X
• DOI: 10.1109/15.477335

A system of integral-differential equations for evaluating currents and voltages induced by external electromagnetic fields on a finite-length horizontal wire above a perfectly conducting ground is derived under the thin wire approximation. Based on perturbation theory, an iterative procedure is proposed to solve the derived coupling equations, where the zeroth iteration term is determined by using the transmission line (TL) approximation. The method can be applied both in the frequency and in the time domains. The proposed iterative procedure converges rapidly to the exact analytical solution for the case of an infinite line, and to the NEC solution for a line of finite length. Moreover, with only one iteration, an excellent approximation to the exact solution can be obtained. The method is applied to assess the validity of the TL approximation for plane wave coupling to an overhead line of finite length. It is shown that the resulting errors for the early-time response are generally higher than those corresponding to infinite lines.