Detail publikačního výsledku

Transient and Sensitivity Analysis at Semi-Discrete Multiconductor Transmission Line Models.

BRANČÍK, L.

Originální název

Transient and Sensitivity Analysis at Semi-Discrete Multiconductor Transmission Line Models.

Anglický název

Transient and Sensitivity Analysis at Semi-Discrete Multiconductor Transmission Line Models.

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

multiconductor transmission line, transients, sensitivity, state-variable method, Laplace transform

Klíčová slova v angličtině

multiconductor transmission line, transients, sensitivity, state-variable method, Laplace transform

Autoři

BRANČÍK, L.

Rok RIV

2010

Vydáno

22.12.2008

Nakladatel

ZČU v Plzni

Místo

Plzeň, Česká republika

ISSN

1802-4564

Periodikum

ElectroScope

Svazek

2008

Číslo

Special issue

Stát

Česká republika

Strany od

1

Strany do

6

Strany počet

6

URL

BibTex

@article{BUT47671,
  author="Lubomír {Brančík}",
  title="Transient and Sensitivity Analysis at Semi-Discrete Multiconductor Transmission Line Models.",
  journal="ElectroScope",
  year="2008",
  volume="2008",
  number="Special issue",
  pages="1--6",
  url="http://www.electroscope.zcu.cz"
}