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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU125265" target="_blank" >RIV/00216305:26220/17:PU125265 - isvavai.cz</a>

Výsledek na webu

<a href="http://piers.org/piers2017Singapore/" target="_blank" >http://piers.org/piers2017Singapore/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/PIERS-FALL.2017.8293616" target="_blank" >10.1109/PIERS-FALL.2017.8293616</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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

ISBN

978-1-5386-1211-8

ISSN

—

e-ISSN

—

Počet stran výsledku

8

Strana od-do

2822-2829

Název nakladatele

IEEE

Místo vydání

Singapore

Místo konání akce

Singapore

Datum konání akce

19. 11. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000428518302152