Fast Calculation of the Electromagnetic Field by a Vertical Electric Dipole Over a Lossy Ground and Its Application in Evaluating the Lightning Radiation Field in the Frequency Domain

The evaluation of the electromagnetic field radiated by a lightning stroke is of essential importance for the study of the interaction between lightning electromagnetic fields and power lines, or other sensitive installations. A fast algorithm for calculating the fields generated by a vertical elect...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility Vol. 52; no. 1; pp. 147 - 154
Main Authors: Jun Zou, Jiang, T.N., Jae Bok Lee, Chang, S.H.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.02.2010
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Accuracy
Algorithms
Applied sciences
Arcs, sparks, lightning
Asymptotic extraction technology (AET)
Asymptotic properties
Data mining
Electric dipoles
Electric discharges
Electrical engineering. Electrical power engineering
Electrical power engineering
Electromagnetic fields
Electromagnetics
Electromagnetism
Erbium
Exact sciences and technology
Grounds
Integrals
Lightning
Magnetic resonance imaging
Mathematical analysis
Mathematical models
Miscellaneous
numerical quadrature
Operation. Load control. Reliability
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Power networks and lines
Probability density function
Sommerfeld integral
Studies
Field line
Electric energy transportation
Power system economics
Variable parameter circuit
Lossy medium
Frequency domain method
numerical quadrature
Asymptotic extraction technology (AET)
Sommerfeld integral
Vertical dipole
Lightning discharge
Computation time
Electromagnetic power
Lightning
Sommerfeld integrals
Analytical method
Recursive method
Electromagnetic field
Power markets
Open market
Fast algorithm
Electric dipole
Comparative study
Power transmission line
ISSN:0018-9375, 1558-187X
Online Access:Get full text
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Description
Summary:The evaluation of the electromagnetic field radiated by a lightning stroke is of essential importance for the study of the interaction between lightning electromagnetic fields and power lines, or other sensitive installations. A fast algorithm for calculating the fields generated by a vertical electric dipole over a lossy ground, which can be expressed by the well-known Sommerfeld integrals, is presented in this paper. The integrals are decomposed into two parts. One part can be calculated by a recursive analytical expression, and the other part can be evaluated numerically due to the fact that the extracted integrand damps rapidly with the help of the asymptotic extraction technology. A comparison with some approximate formulas is performed in detail with variable parameters, such as the soil parameters, the geometry, and the excitation frequency of dipole, which shows very good agreement as far as the lightning field is concerned. The technical merit of the proposed approach is its universality, which can be applied for arbitrary parameters, and its computing time is still competitive.
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ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2009.2037612