Analysis of transient plane wave coupling to horizontal conductor in homogeneous lossy soil

Analysis of transient plane wave coupling to horizontal conductor in homogeneous lossy soil

 

Modeling of transient behavior of wire conductors in presence of lossy soil has been a subject of great amount of research. This problem has been dealt with in different ways, from application of rigorous full-wave approaches based on Sommerfeld formulation to simplified models more suitable for practical engineering studies. This paper presents comparison of two distinct approximate models for analysis of transient plane wave coupling to horizontal wire conductor buried in homogeneous lossy soil. The first approach uses quasi-static approximation of corresponding Green’s functions that arise in rigorous Sommerfeld integral based on image and complex image theory. The second approach uses transmission line theory where two formulations are compared. The first one is based on Sunde’s integral whereas the second is based on simplified logarithmic expression for per unit length impedance. The authors compare the range of applicability of the two forms of image models and the two forms of transmission line models in practical EMC studies. The results are verified by comparison with Sommerfeld model on the basis of rms error of the current distribution with respect to frequency range from 10 kHz to 10 MHz.

 

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