Publication detail

Matlab Simulation of Nonlinear Electrical Networks via Volterra Series Expansion and Multidimensional NILT

BRANČÍK, L. AL-ZUBAIDI R-SMITH, N. ZÁPLATA, F.

Original Title

Matlab Simulation of Nonlinear Electrical Networks via Volterra Series Expansion and Multidimensional NILT

Type

conference paper

Language

English

Original Abstract

The paper deals with a simulation of nonlinear networks based on a classical approach of Volterra series expansion. It is known that a multidimensional Laplace transform (MLT) of a time-domain nonlinear impulse response results in the respective Laplace-domain transfer function which helps in finding Volterra kernels, for example via a harmonic input method. After solving the system in the Laplace domain, a final step is to transfer the solution back into the time domain. For this purpose proper multidimensional numerical inverse Laplace transforms (MNILT) are applied with advantages avoiding the usage of rather impractical associate variables method required to receive a single-variable Laplace image. To ensure good convergence and stability of the method the networks are limited to be rather weakly nonlinear when usually the kernels into the third order already yield reasonable results. That is why, methods for up to the third-dimensional NILT (3D-NILT) are discussed in the paper, both the FFT-based one with a quotient-difference algorithm and a hyperbolic one with the Euler transformation. All the discussed methods are programmed and tested in Matlab language while considering a proper model of a nonlinear electrical network.

Keywords

nonlinear electrical network; Volterra series; multidimensional Laplace transform; numerical inverse Laplace transform; FFT; quotient-difference algorithm; Matlab

Authors

BRANČÍK, L.; AL-ZUBAIDI R-SMITH, N.; ZÁPLATA, F.

Released

19. 11. 2017

Publisher

IEEE

Location

Singapore

ISBN

978-1-5386-1211-8

Book

2017 Progress In Electromagnetics Research Symposium - Fall (PIERS - Fall)

Pages from

2822

Pages to

2829

Pages count

8

URL

http://piers.org/piers2017Singapore/

BibTex

@inproceedings{BUT141078,
  author="Lubomír {Brančík} and Nawfal {Al-Zubaidi R-Smith} and Filip {Záplata}",
  title="Matlab Simulation of Nonlinear Electrical Networks via Volterra Series Expansion and Multidimensional NILT",
  booktitle="2017 Progress In Electromagnetics Research Symposium - Fall (PIERS - Fall)",
  year="2017",
  pages="2822--2829",
  publisher="IEEE",
  address="Singapore",
  doi="10.1109/PIERS-FALL.2017.8293616",
  isbn="978-1-5386-1211-8",
  url="http://piers.org/piers2017Singapore/"
}