Lightning-Induced Current in a Cable Buried in the First Layer of a Two-Layer Ground

This paper analyzes the effect of a two-layer ground on the current induced in the shield of a buried cable due to lightning flashes. Each layer is assumed to be horizontal, homogeneous, isotropic, and having its own electrical parameters: conductivity, permittivity, and permeability. The inducing horizontal electric field is calculated for the incident azimuthal magnetic field and it is used for the calculation of the induced current. The calculation method is validated by comparing its results with results published in the literature. The currents induced in the shield of a buried cable by typical return-stroke current waveforms are calculated. The results show that the induced current waveform is initially determined by the first layer but, for later times, it follows the current that would be induced if the ground was homogeneous and had the characteristics of the second layer.

[1]  F. Rachidi,et al.  On the Validity of Approximate Formulas for the Evaluation of the Lightning Electromagnetic Fields in the Presence of a Lossy Ground , 2013, IEEE Transactions on Electromagnetic Compatibility.

[2]  C. F. Barbosa,et al.  A Time-Domain Method for the Horizontal Electric Field Calculation at the Surface of Two-Layer Earth Due to Lightning , 2013, IEEE Transactions on Electromagnetic Compatibility.

[3]  V Cooray,et al.  Validity of Simplified Approaches for the Evaluation of Lightning Electromagnetic Fields Above a Horizontally Stratified Ground , 2010, IEEE Transactions on Electromagnetic Compatibility.

[4]  S. Visacro,et al.  Frequency Dependence of Soil Parameters: Effect on the Lightning Response of Grounding Electrodes , 2013, IEEE Transactions on Electromagnetic Compatibility.

[5]  V. Cooray,et al.  Propagation Effects Due to Finitely Conducting Ground on Lightning-Generated Magnetic Fields Evaluated Using Sommerfeld's Integrals , 2009, IEEE Transactions on Electromagnetic Compatibility.

[6]  M. Rubinstein,et al.  An approximate formula for the calculation of the horizontal electric field from lightning at close, intermediate, and long range , 1996 .

[7]  V.A. Rakov,et al.  Lightning induced disturbances in buried cables - part II: experiment and model validation , 2005, IEEE Transactions on Electromagnetic Compatibility.

[8]  Qilin Zhang,et al.  Lightning-Radiated Horizontal Electric Field Over a Rough- and Ocean-Land Mixed Propagation Path , 2013, IEEE Transactions on Electromagnetic Compatibility.

[9]  General Time-Domain Formula for Horizontal Electric Field Excited by Lightning , 2011, IEEE Transactions on Electromagnetic Compatibility.

[10]  V Cooray,et al.  Horizontal Electric Field Above- and Underground Produced by Lightning Flashes , 2010, IEEE Transactions on Electromagnetic Compatibility.

[11]  C. Barbosa,et al.  A time-domain formula for the horizontal electric field at the earth surface in the vicinity of lightning , 2010, IEEE Transactions on Electromagnetic Compatibility.

[12]  Farhad Rachidi,et al.  Current and electromagnetic field associated with lightning-return strokes to tall towers , 2001 .

[13]  J. Wait The ancient and modern history of EM ground-wave propagation , 1998 .

[14]  Vernon Cooray The effects of propagation on electric radiation fields , 2003 .

[15]  Dimitris P. Labridis,et al.  Earth return path impedances of underground cables for the multi-layer case: a finite element approach , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[17]  F. Rachidi,et al.  External impedance and admittance of buried horizontal wires for transient studies using transmission line analysis , 2007, IEEE Transactions on Dielectrics and Electrical Insulation.

[18]  Keyhan Sheshyekani,et al.  The Effect of Frequency Dependence of Soil Electrical Parameters on the Lightning Performance of Grounding Systems , 2013, IEEE Transactions on Electromagnetic Compatibility.

[19]  Jun Zou,et al.  A Hermite Interpolation Model to Accelerate the Calculation of the Horizontal Electric Field of a Lightning Channel Along a Transmission Line , 2013, IEEE Transactions on Electromagnetic Compatibility.

[20]  Farhad Rachidi,et al.  Evaluation of Lightning Electromagnetic Fields and Their Induced Voltages on Overhead Lines Considering the Frequency Dependence of Soil Electrical Parameters , 2013, IEEE Transactions on Electromagnetic Compatibility.

[21]  A. Shoory,et al.  The effect of a horizontally stratified ground on lightning electromagnetic fields , 2010, 2010 IEEE International Symposium on Electromagnetic Compatibility.

[22]  M. Ianoz,et al.  Influence of a lossy ground on lightning-induced voltages on overhead lines , 1996 .

[23]  A. Shoory,et al.  Lightning horizontal electric fields above a two-layer ground , 2010, 2010 30th International Conference on Lightning Protection (ICLP).

[24]  G.C. de Miranda,et al.  Time-Domain Analysis of Rocket-Triggered Lightning-Induced Surges on an Overhead Line , 2009, IEEE Transactions on Electromagnetic Compatibility.

[25]  C. Barbosa,et al.  An Approximate Time-Domain Formula for the Calculation of the Horizontal Electric Field from Lightning , 2007, IEEE Transactions on Electromagnetic Compatibility.

[26]  Wallace do Couto Boaventura,et al.  Effect of the Surface Impedance on the Induced Voltages in Overhead Lines From Nearby Lightning , 2011, IEEE Transactions on Electromagnetic Compatibility.

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

[29]  C. F. Barbosa,et al.  Lightning induced voltage on an aerial wire above two-layer ground , 2012, 2012 International Conference on Lightning Protection (ICLP).

[30]  A. Shoory,et al.  On the Measurement and Calculation of Horizontal Electric Fields From Lightning , 2011, IEEE Transactions on Electromagnetic Compatibility.

[31]  P. Girdinio,et al.  Time-Domain Implementation of Cooray–Rubinstein Formula via Convolution Integral and Rational Approximation , 2011, IEEE Transactions on Electromagnetic Compatibility.