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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Matlab Simulation of Nonlinear Electrical Networks via Volterra Series Expansion and Multidimensional NILT
Original language description
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.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
2017 Progress In Electromagnetics Research Symposium - Fall (PIERS - Fall)
ISBN
978-1-5386-1211-8
ISSN
—
e-ISSN
—
Number of pages
8
Pages from-to
2822-2829
Publisher name
IEEE
Place of publication
Singapore
Event location
Singapore
Event date
Nov 19, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000428518302152

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