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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| Vydáno v: | IEEE transactions on electromagnetic compatibility Ročník 52; číslo 1; s. 147 - 154 |
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| Jazyk: | angličtina |
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New York, NY
IEEE
01.02.2010
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0018-9375, 1558-187X |
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| Abstract | 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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| AbstractList | 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. |
| Author | Jun Zou Jiang, T.N. Chang, S.H. Jae Bok Lee |
| Author_xml | – sequence: 1 surname: Jun Zou fullname: Jun Zou organization: Dept. of Electr. Eng., Tsinghua Univ., Beijing, China – sequence: 2 givenname: T.N. surname: Jiang fullname: Jiang, T.N. organization: Dept. of Electr. Eng., Tsinghua Univ., Beijing, China – sequence: 3 surname: Jae Bok Lee fullname: Jae Bok Lee organization: Electr. Environ. Group, Korea Electrotechnol. Res. Inst., Changwon, South Korea – sequence: 4 givenname: S.H. surname: Chang fullname: Chang, S.H. organization: Electr. Environ. Group, Korea Electrotechnol. Res. Inst., Changwon, South Korea |
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| Keywords | 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 |
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| SubjectTerms | 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 |
| Title | 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 |
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