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

R-Smith N. A., ÖZAKIN A., Brančík L.

Journal of Circuits, Systems and Computers, vol.27, no.11, 2018 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 11
  • Publication Date: 2018
  • Doi Number: 10.1142/s0218126618501724
  • Journal Name: Journal of Circuits, Systems and Computers
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Distributed system, fractional calculus, frequency dependence, Laplace transform, Matlab, numerical inversion, transmission line
  • Yıldız Technical University Affiliated: No

Abstract

The paper presents a computationally efficient method for modeling and simulating distributed systems with lossy transmission line (TL) including multiconductor ones, by a less conventional method. The method is devised based on 1D and 2D 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 (NILTs) 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 are effectively algorithmized.