Title:	Numerical ILTs applied to weakly nonlinear systems described by second-order volterra series
Authors:	Brančík, Lubomír
Citation:	Electroscope. 2009, Konference EDS 2009.
Issue Date:	2009
Publisher:	Západočeská univerzita v Plzni, Fakulta elektrotechnická
Document type:	konferenční příspěvek conferenceObject
URI:	http://147.228.94.30/images/PDF/Rocnik2009/EDS_2009/brancik.pdf http://hdl.handle.net/11025/540
ISSN:	1802-4564
Keywords:	numerické inverzní laplaceovské transformace;slabě nelineární systémy
Keywords in different language:	numerical inverse Laplace transforms;weakly nonlinear systems
Abstract in different language:	In the paper the techniques of numerical inverse Laplace transforms (NILTs) are applied to get the time-domain responses of some classes of weakly nonlinear systems. It is enabled by expanding a response of the system into the Volterra series in connection with the multidimensional Laplace transform. For a given system the Volterra kernels transforms are found, and response Laplace transforms inverted numerically. This procedure does not require an association of variables technique which simplifies the solution and saves CPU time. In the paper the method is demonstrated on the example of a simple nonlinear electrical circuit. The one- and two-dimensional NILTs based on FFT/IFFT and quotient-difference (q-d) algorithms are modified for this purpose.
Rights:	Copyright © 2007-2010 Electroscope. All Rights Reserved.
Appears in Collections:	Konference EDS 2009 EDS 2009 (2009)

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