Time Domain Analytical Modeling of a Straight Thin Wire Buried in a Lossy Medium

The paper deals with the analysis of the Pocklington integro-differential equation in the time domain and its analytical solution for the transient current induced along the vertical grounding electrode and, as such, represents a continuation of the research pertaining to the horizontal grounding electrode previously reported by one of the authors. The electrode is excited by a current source impressed at one end of the electrode, representing the model of the lightning strike current. A novel analytical solution is derived using the Laplace transform. Results obtained with this time domain solution are compared with the results obtained via analytical solution of the corresponding Pocklington equation in the frequency domain in conjunction with inverse fast Fourier transform (IFFT). The results obtained via different methods are shown to be in a very good agreement. The results of the time domain analytical solution for the vertical electrode are also compared with the results of the time domain analytical solution for the horizontal electrode, where greater influence of earth-air interface on an induced current is observed. These procedures can be implemented as benchmarking techniques as well as tools for rapid estimation of the observed phenomena.

show abstract

“…where I(z ′ , t − R/v) represents the unknown current. Detailed derivation of (2) can be found in [17].…”

Section: Transient Model Of the Vertical Grounding Electrodementioning

confidence: 99%

Analytical Solution for the Transient Current Induced along the Vertical Grounding Electrode

Soldo

Šesnić

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Second integral on the right hand side can be neglected and integral over Green's function approximated as follows [25] ( ) ( )…”

Section: Analytical Solution Forthe Induced Currentmentioning

confidence: 99%

Frequency and Time Domain Analysis of Influence of the Grounding Electrode Conductivity on Induced Current Distribution

Šesnić

Poljak

2013

JCOMSS

Self Cite

View full text Add to dashboard Cite

The paper deals with an assessment of the influence of finite conductivity to the current induced along the horizontal grounding electrode. Analysis is performed in frequency and time domain, respectively. Current distribution along the grounding electrode buried in a lossy half-space is determined via analytical solution of the corresponding Pocklington equation in the frequency domain. The corresponding time domain response is obtained by means of Inverse Fast Fourier Transform (IFFT). The electrode is excited via an equivalent current source. Presence of the earth-air interface is taken into account via the simplified reflection coefficient arising from the Modified Image Theory (MIT). The electrode current is calculated for the case of perfectly conducting (PEC) electrode and for the electrodes made of copper and aluminum. Comparison of results shows no significant discrepancy between these electrodes, justifying the use of a PEC electrode approximation.

show abstract

“…In addition, microwave engineering requires precise knowledge on electromagnetic properties of materials at microwave frequencies since microwave communications are playing more and more important roles in military, industry, and civilian life. For these reasons, various techniques for different frequency regions, each with its unique advantages and constraints [5][6][7][8][9], have been introduced to characterize the electrical properties (relative complex permittivity, ε r , and relative complex permeability, μ r ) of materials.…”

Section: Introductionmentioning

confidence: 99%

Reference-Plane Invariant, Broadband, and Stable Constitutive Parameters Determination of Low-Loss Materials from Transmission-Reflection Measurements Using Variable Parameters

Hasar

2012

Journal of Electromagnetic Waves and Applications

View full text Add to dashboard Cite

A stable and reference-plane invariant non-resonant method has been proposed for the retrieval of constitutive parameters of low-loss materials. A metric function, which includes two variable quantities for decreasing measurement errors arising from reflection scattering measurements of low-loss materials, has been derived for analytical and numerical computations of constitutive parameters. We validated the proposed method by artificially including some measurement errors in reflection scattering parameters and noted that our proposed method decreases such errors considerably with the help of these quantities.

show abstract

Time Domain Analytical Modeling of a Straight Thin Wire Buried in a Lossy Medium

Cited by 27 publications

References 28 publications

Analytical Solution for the Transient Current Induced along the Vertical Grounding Electrode

Analytical Solution for the Transient Current Induced along the Vertical Grounding Electrode

Frequency and Time Domain Analysis of Influence of the Grounding Electrode Conductivity on Induced Current Distribution

Reference-Plane Invariant, Broadband, and Stable Constitutive Parameters Determination of Low-Loss Materials from Transmission-Reflection Measurements Using Variable Parameters

Contact Info

Product

Resources

About