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Conference Paper: A novel linear algebra method for the determination of periodic steady states of nonlinear oscillators

TitleA novel linear algebra method for the determination of periodic steady states of nonlinear oscillators
Authors
KeywordsSteady-state analysis
Autonomous oscillator
Nonlinear circuit simulation
Macaulay matrix
Issue Date2014
PublisherIEEE Computer Society. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000151
Citation
The 33rd IEEE/ACM International Conference on Computer-Aided Design (ICCAD 2014), San Jose, CA., 2-6 November 2014. In ICCAD - IEEE / ACM International Conference on Computer-Aided Design Proceedings, 2014, p. 611-617 How to Cite?
AbstractPeriodic steady-state (PSS) analysis of nonlinear oscillators has always been a challenging task in circuit simulation. We present a new way that uses numerical linear algebra to identify the PSS(s) of nonlinear circuits. The method works for both autonomous and excited systems. Using the harmonic balancing method, the solution of a nonlinear circuit can be represented by a system of multivariate polynomials. Then, a Macaulay matrix based root-finder is used to compute the Fourier series coefficients. The method avoids the difficult initial guess problem of existing numerical approaches. Numerical examples show the accuracy and feasibility over existing methods. © 2014 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/216391
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorLiu, H-
dc.contributor.authorBatselier, K-
dc.contributor.authorWong, N-
dc.date.accessioned2015-09-18T05:26:11Z-
dc.date.available2015-09-18T05:26:11Z-
dc.date.issued2014-
dc.identifier.citationThe 33rd IEEE/ACM International Conference on Computer-Aided Design (ICCAD 2014), San Jose, CA., 2-6 November 2014. In ICCAD - IEEE / ACM International Conference on Computer-Aided Design Proceedings, 2014, p. 611-617-
dc.identifier.isbn978-1-4799-6278-5-
dc.identifier.issn1933-7760-
dc.identifier.urihttp://hdl.handle.net/10722/216391-
dc.description.abstractPeriodic steady-state (PSS) analysis of nonlinear oscillators has always been a challenging task in circuit simulation. We present a new way that uses numerical linear algebra to identify the PSS(s) of nonlinear circuits. The method works for both autonomous and excited systems. Using the harmonic balancing method, the solution of a nonlinear circuit can be represented by a system of multivariate polynomials. Then, a Macaulay matrix based root-finder is used to compute the Fourier series coefficients. The method avoids the difficult initial guess problem of existing numerical approaches. Numerical examples show the accuracy and feasibility over existing methods. © 2014 IEEE.-
dc.languageeng-
dc.publisherIEEE Computer Society. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000151-
dc.relation.ispartofICCAD - IEEE / ACM International Conference on Computer-Aided Design Proceedings-
dc.rightsICCAD - IEEE / ACM International Conference on Computer-Aided Design Proceedings. Copyright © IEEE Computer Society.-
dc.rights©2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectSteady-state analysis-
dc.subjectAutonomous oscillator-
dc.subjectNonlinear circuit simulation-
dc.subjectMacaulay matrix-
dc.titleA novel linear algebra method for the determination of periodic steady states of nonlinear oscillators-
dc.typeConference_Paper-
dc.identifier.emailLiu, H: htliu@eee.hku.hk-
dc.identifier.emailBatselier, K: kbatseli@hku.hk-
dc.identifier.emailWong, N: nwong@eee.hku.hk-
dc.identifier.authorityWong, N=rp00190-
dc.description.naturepostprint-
dc.identifier.doi10.1109/ICCAD.2014.7001416-
dc.identifier.scopuseid_2-s2.0-84936854198-
dc.identifier.hkuros253241-
dc.identifier.spage611-
dc.identifier.epage617-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 151125-

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