Title
Plasma channel evolution in the triggered lightning discharges
Creator
Pavlović, Dragan, 1988- 26984807
Copyright date
2019
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
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Language
English
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane: 5. 9. 2019.
Other responsibilities
mentor
Cvetić, Jovan, 1962- 12587623
član komisije
Šekara, Tomislav, 1965- 12705383
član komisije
Kuraica, Milorad, 1960- 14052967
član komisije
Milovanović, Gradimir V., 1948- 13802343
član komisije
Kolundžija, Branko 1958- 701690
Academic Expertise
Tehničko-tehnološke nauke
University
Univerzitet u Beogradu
Faculty
Elektrotehnički fakultet
Alternative title
Еволуција плазма канала код тригерованих атмосферских пражњена
Publisher
[D. Pavlović]
Format
163 lista
description
Electrical and Computer Engineering - Plasma physics / Електротехника и рачунарство - Физика плазме
Abstract (en)
Plasma channel evolution is of fundamental interest for the study of
the lightning physics, the electrodynamics of the atmosphere and for electrical engineering
practice. The subject of this dissertation is the development of detailed and
efficient numerical algorithms for application in the study of the lightning channel
evolution.
First off all, the classical numerical methods for the calculating the three -
dimensional integrals were used to calculate the axial electric field along the lightning
channel axis. The results measurement of the negative triggered lightning discharge
have been used as input parameters during calculation. Different engineering models
were used in the calculation - the TL, the MTLE, the MTLP, the MTLE and the
GTCS model. Obtained results for electric field as well as the point form of Ohm’s
law have been used to calculate the profile of longitudinal electrical conductivity on
the lightning channel. The comparison with the experimental results was performed.
It has been shown that the mean values of the mentioned physical quantities are in
accordance with the experimental results. On the basis of the experimental results
and semi-empirical formulas, other essential parameters of the lightning channel (the
concentration and the temperature of the carriers) can be estimated.
After a detailed overview of all methods used in the literature to study the
lightning channel dynamics, the decision was to use the GTCS model. For this
purpose, it is necessary to precisely calculate the channel discharge function from
Volterra integral equation of the first kind. This equation is solved analytically
by Laplace transformation, as well as by the convolution quadrature method (CQ
method). The Volterra equation is also solved by the modified composite trapezoidal
formula method (MCTF method), which is one of the numerical methods used
to provide a very high degree of accuracy with minimal approximations. Results
showed excellent agreement with the analytical method. Obtained channel discharge
function is used in the calculations of other physical parameters along radial and
axial directions of the channel.
Based on the afore stated results, the guidelines for further study of the lightning
channel dynamics are given.
Abstract (sr)
Еволуција канала је од базичног значаја за проучавање физик канала муње, електродинамика атмосфере као и за електроинжењерску праксу. Циљ ове дисертације је развој детаљних аналитичких и нумеричких алгоритама.
Authors Key words
electric field, electric conductivity, lightning channel dynamic, Volterra
integral equation, analytical methods, Laplace transform, convolution quadrature,
numerical methods
Authors Key words
електрична проводност, динамика канала муње, Волтерина интегрална једначина, Лапласова трансформација, конволуционе квадратуре
Classification
621.3.011:537.52(043.3)
Type
Tekst
Abstract (en)
Plasma channel evolution is of fundamental interest for the study of
the lightning physics, the electrodynamics of the atmosphere and for electrical engineering
practice. The subject of this dissertation is the development of detailed and
efficient numerical algorithms for application in the study of the lightning channel
evolution.
First off all, the classical numerical methods for the calculating the three -
dimensional integrals were used to calculate the axial electric field along the lightning
channel axis. The results measurement of the negative triggered lightning discharge
have been used as input parameters during calculation. Different engineering models
were used in the calculation - the TL, the MTLE, the MTLP, the MTLE and the
GTCS model. Obtained results for electric field as well as the point form of Ohm’s
law have been used to calculate the profile of longitudinal electrical conductivity on
the lightning channel. The comparison with the experimental results was performed.
It has been shown that the mean values of the mentioned physical quantities are in
accordance with the experimental results. On the basis of the experimental results
and semi-empirical formulas, other essential parameters of the lightning channel (the
concentration and the temperature of the carriers) can be estimated.
After a detailed overview of all methods used in the literature to study the
lightning channel dynamics, the decision was to use the GTCS model. For this
purpose, it is necessary to precisely calculate the channel discharge function from
Volterra integral equation of the first kind. This equation is solved analytically
by Laplace transformation, as well as by the convolution quadrature method (CQ
method). The Volterra equation is also solved by the modified composite trapezoidal
formula method (MCTF method), which is one of the numerical methods used
to provide a very high degree of accuracy with minimal approximations. Results
showed excellent agreement with the analytical method. Obtained channel discharge
function is used in the calculations of other physical parameters along radial and
axial directions of the channel.
Based on the afore stated results, the guidelines for further study of the lightning
channel dynamics are given.
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