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BRANČÍK, L.
Original Title
Transient and Sensitivity Analysis at Semi-Discrete Multiconductor Transmission Line Models.
Type
journal article - other
Language
English
Original Abstract
The paper deals with methods for the solution of transient phenomena and sensitivities at semi-discrete models of multiconductor transmission lines (MTL). The models are formed by a cascade connection of generalized lumped-parameter PI networks, they can be fed in arbitrary nodes, nonzero initial conditions can also be taken into account. The solutions shown here are formulated following the state-variable method. First the equations enabling to solve voltage and current distributions along the MTL wires are derived, both in the time domain and in the operational domain. Second the formulae for sensitivities of voltage and current distributions are derived, based on the s-domain solution. The sensitivities can be stated with respect to parameters of per-unit-length matrices, the MTL length and lumped parameters of the external circuits as well. In this case the time-domain solutions are obtained by using a numerical inversion of Laplace transforms. The matrices occuring in all the formulae are sparse which enables to take into account large numbers of PI sections in the models while using common PC for the computation. The Matlab language environment is used with advantages for this purpose.
Keywords
multiconductor transmission line, transients, sensitivity, state-variable method, Laplace transform
Authors
RIV year
2008
Released
22. 12. 2008
Publisher
ZČU v Plzni
Location
Plzeň, Česká republika
ISBN
1802-4564
Periodical
ElectroScope - http://www.electroscope.zcu.cz
Year of study
Number
Special issue
State
Czech Republic
Pages from
1
Pages to
6
Pages count
URL
http://www.electroscope.zcu.cz
BibTex
@article{BUT47671, author="Lubomír {Brančík}", title="Transient and Sensitivity Analysis at Semi-Discrete Multiconductor Transmission Line Models.", journal="ElectroScope - http://www.electroscope.zcu.cz", year="2008", volume="2008", number="Special issue", pages="1--6", issn="1802-4564", url="http://www.electroscope.zcu.cz" }