Publication detail

Application of Numerical Inverse Laplace Transform Methods for Simulation of Distributed Systems with Fractional-Order Elements

AL-ZUBAIDI R-SMITH, N. KARTCI, A. BRANČÍK, L.

Original Title

Application of Numerical Inverse Laplace Transform Methods for Simulation of Distributed Systems with Fractional-Order Elements

English Title

Application of Numerical Inverse Laplace Transform Methods for Simulation of Distributed Systems with Fractional-Order Elements

Type

journal article in Web of Science

Language

en

Original Abstract

The paper presents a computationally efficient method for modeling and simulating distributed systems with lossy transmission line including multiconductor ones, by a less conventional method. The method is devised based on one and two dimensional Laplace transforms, which facilitates the possibility of incorporating fractional-order elements and frequency dependent parameters. This process is made possible due to the development of effective numerical inverse Laplace transforms of one and two variables, 1D NILT and 2D NILT. In the paper, it is shown that in high frequency operating systems, the frequency dependencies of the system ought to be included in the model. Additionally, it is shown that incorporating fractional-order elements in the modeling of the distributed parameter systems compensates for losses along the wires, provides higher degrees of flexibility for optimization and produces more accurate and authentic modelling of such systems. The simulations are performed in the Matlab environment and effectively algorithmized.

English abstract

The paper presents a computationally efficient method for modeling and simulating distributed systems with lossy transmission line including multiconductor ones, by a less conventional method. The method is devised based on one and two dimensional Laplace transforms, which facilitates the possibility of incorporating fractional-order elements and frequency dependent parameters. This process is made possible due to the development of effective numerical inverse Laplace transforms of one and two variables, 1D NILT and 2D NILT. In the paper, it is shown that in high frequency operating systems, the frequency dependencies of the system ought to be included in the model. Additionally, it is shown that incorporating fractional-order elements in the modeling of the distributed parameter systems compensates for losses along the wires, provides higher degrees of flexibility for optimization and produces more accurate and authentic modelling of such systems. The simulations are performed in the Matlab environment and effectively algorithmized.

Keywords

Distributed System; Fractional Calculus; Frequency Dependence; Laplace Transform; Numerical Inversion; Matlab; Transmission Line

Released

15.01.2018

Publisher

Journal of Circuits, Systems and Computers (JCSC)

Location

Singapore

Pages from

1

Pages to

25

Pages count

25

URL

Documents

BibTex


@article{BUT144360,
  author="Nawfal {Al-Zubaidi R-Smith} and Aslihan {Kartci} and Lubomír {Brančík}",
  title="Application of Numerical Inverse Laplace Transform Methods for Simulation of Distributed Systems with Fractional-Order Elements",
  annote="The paper presents a computationally efficient method for modeling and simulating distributed systems with lossy transmission line including multiconductor ones, by a less conventional method. The method is devised based on one and two dimensional Laplace transforms, which facilitates the possibility of incorporating fractional-order elements and frequency dependent parameters. This process is made possible due to the development of effective numerical inverse Laplace transforms of one and two variables, 1D NILT and 2D NILT. In the paper, it is shown that in high frequency operating systems, the frequency dependencies of the system ought to be included in the model. Additionally, it is shown that incorporating fractional-order elements in the modeling of the distributed parameter systems compensates for losses along the wires, provides higher degrees of flexibility for optimization and produces more accurate and authentic modelling of such systems. The simulations are performed in the Matlab environment and effectively algorithmized.",
  address="Journal of Circuits, Systems and Computers (JCSC)",
  chapter="144360",
  doi="10.1142/S0218126618501724",
  howpublished="online",
  institution="Journal of Circuits, Systems and Computers (JCSC)",
  number="11",
  volume="27",
  year="2018",
  month="january",
  pages="1--25",
  publisher="Journal of Circuits, Systems and Computers (JCSC)",
  type="journal article in Web of Science"
}