Publication detail

Multiconductor Transmission Line System with Stochastically Affected Boundary Conditions

BRANČÍK, L. KOLÁŘOVÁ, E.

Original Title

Multiconductor Transmission Line System with Stochastically Affected Boundary Conditions

English Title

Multiconductor Transmission Line System with Stochastically Affected Boundary Conditions

Type

conference paper

Language

en

Original Abstract

The paper deals with the application of stochastic differential-algebraic equation (SDAE) approach to evaluate responses of multiconductor transmission lines (MTL) with stochastically affected boundary conditions. Respective SDAEs are formulated by a modified nodal analysis (MNA) to describe lumped-parameter circuit terminating the MTL and defining the boundary conditions. These can be under stochastic affects by considering internal non-deterministic independent sources. Because of the MTL itself is described by the telegraph partial differential equations (PDE), which will be solved via an implicit Wendroff numerical scheme, the MNA SDAE will be solved via a compatible implicit Euler scheme in its stochastic version after completing the deterministic DAE with an additive noise. The MTL’s responses are presented in the form of sets of individual stochastic trajectories postprocessed and completed with sample means and confidence intervals. The results were compared with those based on the MTL lumped-parameter model formed by generalized RLCG T-cells in cascade. All the simulations have been done in Matlab.

English abstract

The paper deals with the application of stochastic differential-algebraic equation (SDAE) approach to evaluate responses of multiconductor transmission lines (MTL) with stochastically affected boundary conditions. Respective SDAEs are formulated by a modified nodal analysis (MNA) to describe lumped-parameter circuit terminating the MTL and defining the boundary conditions. These can be under stochastic affects by considering internal non-deterministic independent sources. Because of the MTL itself is described by the telegraph partial differential equations (PDE), which will be solved via an implicit Wendroff numerical scheme, the MNA SDAE will be solved via a compatible implicit Euler scheme in its stochastic version after completing the deterministic DAE with an additive noise. The MTL’s responses are presented in the form of sets of individual stochastic trajectories postprocessed and completed with sample means and confidence intervals. The results were compared with those based on the MTL lumped-parameter model formed by generalized RLCG T-cells in cascade. All the simulations have been done in Matlab.

Keywords

multiconductor transmission line; stochastic differential-algebraic equation; stochastic excitation; telegraph equation; Matlab.

Released

27.06.2019

Publisher

Department of Microelectronics and Computer Science, Lodz University of Technology, Poland

Location

Rzeszów, Poland

ISBN

978-83-63578-15-2

Book

Proceedings of the 26th International Conference “Mixed Design of Integrated Circuits and Systems” - MIXDES 2019

Edition number

1

Pages from

316

Pages to

320

Pages count

5

Documents

BibTex


@inproceedings{BUT157911,
  author="Lubomír {Brančík} and Edita {Kolářová}",
  title="Multiconductor Transmission Line System with Stochastically Affected Boundary Conditions",
  annote="The paper deals with the application of stochastic differential-algebraic equation (SDAE) approach to evaluate responses of multiconductor transmission lines (MTL) with stochastically affected boundary conditions. Respective SDAEs are formulated by a modified nodal analysis (MNA) to describe lumped-parameter circuit terminating the MTL and defining the boundary conditions. These can be under stochastic affects by considering internal non-deterministic independent sources. Because of the MTL itself is described by the telegraph partial differential equations (PDE), which will be solved via an implicit Wendroff numerical scheme, the MNA SDAE will be solved via a compatible implicit Euler scheme in its stochastic version after completing the deterministic DAE with an additive noise. The MTL’s responses are presented in the form of sets of individual stochastic trajectories postprocessed and completed with sample means and confidence intervals. The results were compared with those based on the MTL lumped-parameter model formed by generalized RLCG T-cells in cascade. All the simulations have been done in Matlab.",
  address="Department of Microelectronics and Computer Science, Lodz University of Technology, Poland",
  booktitle="Proceedings of the 26th International Conference “Mixed Design of Integrated Circuits and Systems” -
MIXDES 2019",
  chapter="157911",
  doi="10.23919/MIXDES.2019.8787203",
  howpublished="electronic, physical medium",
  institution="Department of Microelectronics and Computer Science, Lodz University of Technology, Poland",
  year="2019",
  month="june",
  pages="316--320",
  publisher="Department of Microelectronics and Computer Science, Lodz University of Technology, Poland",
  type="conference paper"
}