On the Electromagnetic Field of an Overhead Line Current Source
This work presents an analytical series-form solution for the time-harmonic electromagnetic (EM) field components produced by an overhead current line source. The solution arises from casting the integral term of the complete representation for the generated axial electric field into a form where th...
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doaj-ca46310100d14f45b86a3268040fd1912020-11-28T00:00:22ZengMDPI AGElectronics2079-92922020-11-0192009200910.3390/electronics9122009On the Electromagnetic Field of an Overhead Line Current SourceMauro Parise0Faculty of Engineering, University Campus Bio-Medico of Rome, Via Alvaro del Portillo 21, 00128 Rome, ItalyThis work presents an analytical series-form solution for the time-harmonic electromagnetic (EM) field components produced by an overhead current line source. The solution arises from casting the integral term of the complete representation for the generated axial electric field into a form where the non-analytic part of the integrand is expanded into a power series of the vertical propagation coefficient in the air space. This makes it possible to express the electric field as a sum of derivatives of the Sommerfeld integral describing the primary field, whose explicit form is known. As a result, the electric field is given as a sum of cylindrical Hankel functions, with coefficients depending on the position of the field point relative to the line source and its ideal image. Analogous explicit expressions for the magnetic field components are obtained by applying Faraday’s law. The results from numerical simulations show that the derived analytical solution offers advantages in terms of time cost with respect to conventional numerical schemes used for computing Sommerfeld-type integrals.https://www.mdpi.com/2079-9292/9/12/2009line current sourcehalf-space problemEM wave propagation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mauro Parise |
spellingShingle |
Mauro Parise On the Electromagnetic Field of an Overhead Line Current Source Electronics line current source half-space problem EM wave propagation |
author_facet |
Mauro Parise |
author_sort |
Mauro Parise |
title |
On the Electromagnetic Field of an Overhead Line Current Source |
title_short |
On the Electromagnetic Field of an Overhead Line Current Source |
title_full |
On the Electromagnetic Field of an Overhead Line Current Source |
title_fullStr |
On the Electromagnetic Field of an Overhead Line Current Source |
title_full_unstemmed |
On the Electromagnetic Field of an Overhead Line Current Source |
title_sort |
on the electromagnetic field of an overhead line current source |
publisher |
MDPI AG |
series |
Electronics |
issn |
2079-9292 |
publishDate |
2020-11-01 |
description |
This work presents an analytical series-form solution for the time-harmonic electromagnetic (EM) field components produced by an overhead current line source. The solution arises from casting the integral term of the complete representation for the generated axial electric field into a form where the non-analytic part of the integrand is expanded into a power series of the vertical propagation coefficient in the air space. This makes it possible to express the electric field as a sum of derivatives of the Sommerfeld integral describing the primary field, whose explicit form is known. As a result, the electric field is given as a sum of cylindrical Hankel functions, with coefficients depending on the position of the field point relative to the line source and its ideal image. Analogous explicit expressions for the magnetic field components are obtained by applying Faraday’s law. The results from numerical simulations show that the derived analytical solution offers advantages in terms of time cost with respect to conventional numerical schemes used for computing Sommerfeld-type integrals. |
topic |
line current source half-space problem EM wave propagation |
url |
https://www.mdpi.com/2079-9292/9/12/2009 |
work_keys_str_mv |
AT mauroparise ontheelectromagneticfieldofanoverheadlinecurrentsource |
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1724413294047920128 |