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Conference Paper: An operational matrix-based algorithm for simulating linear and fractional differential circuits

TitleAn operational matrix-based algorithm for simulating linear and fractional differential circuits
Authors
KeywordsAdaptive time step
CPU time
Differential algebraic equations
Differential systems
Flexible simulation
Issue Date2012
PublisherIEEE Computer Society. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000198
Citation
The 2012 Design, Automation, and Test in Europe Conference and Exhibition (DATE'12), Dresden, Germany, 12-16 March 2012. In Design, Automation, and Test in Europe Conference and Exhibition Proceedings, 2012, p. 1463-1466 How to Cite?
AbstractWe present a new time-domain simulation algorithm (named OPM) based on operational matrices, which naturally handles system models cast in ordinary differential equations (ODEs), differential algebraic equations (DAEs), high-order differential equations and fractional differential equations (FDEs). When applied to simulating linear systems (represented by ODEs or DAEs), OPM has similar performance to advanced transient analysis methods such as trapezoidal or Gear's method in terms of complexity and accuracy. On the other hand, OPM naturally handles FDEs without much extra effort, which can not be efficiently solved using existing time-domain methods. High-order differential systems, being special cases of FDEs, can also be simulated using OPM. Moreover, adaptive time step can be utilized in OPM to provide a more flexible simulation with low CPU time. Numerical results then validate OPM's wide applicability and superiority. © 2012 EDAA.
Persistent Identifierhttp://hdl.handle.net/10722/158795
ISBN
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorWang, Yen_US
dc.contributor.authorLiu, Hen_US
dc.contributor.authorPang, GKHen_US
dc.contributor.authorWong, Nen_US
dc.date.accessioned2012-08-08T09:01:22Z-
dc.date.available2012-08-08T09:01:22Z-
dc.date.issued2012en_US
dc.identifier.citationThe 2012 Design, Automation, and Test in Europe Conference and Exhibition (DATE'12), Dresden, Germany, 12-16 March 2012. In Design, Automation, and Test in Europe Conference and Exhibition Proceedings, 2012, p. 1463-1466en_US
dc.identifier.isbn978-3-9810801-8-6-
dc.identifier.issn1530-1591en_US
dc.identifier.urihttp://hdl.handle.net/10722/158795-
dc.description.abstractWe present a new time-domain simulation algorithm (named OPM) based on operational matrices, which naturally handles system models cast in ordinary differential equations (ODEs), differential algebraic equations (DAEs), high-order differential equations and fractional differential equations (FDEs). When applied to simulating linear systems (represented by ODEs or DAEs), OPM has similar performance to advanced transient analysis methods such as trapezoidal or Gear's method in terms of complexity and accuracy. On the other hand, OPM naturally handles FDEs without much extra effort, which can not be efficiently solved using existing time-domain methods. High-order differential systems, being special cases of FDEs, can also be simulated using OPM. Moreover, adaptive time step can be utilized in OPM to provide a more flexible simulation with low CPU time. Numerical results then validate OPM's wide applicability and superiority. © 2012 EDAA.en_US
dc.languageengen_US
dc.publisherIEEE Computer Society. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000198-
dc.relation.ispartofDesign, Automation, and Test in Europe Conference and Exhibition Proceedingsen_US
dc.rightsDesign, Automation, and Test in Europe Conference and Exhibition Proceedings. Copyright © IEEE Computer Society.-
dc.rights©2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAdaptive time step-
dc.subjectCPU time-
dc.subjectDifferential algebraic equations-
dc.subjectDifferential systems-
dc.subjectFlexible simulation-
dc.titleAn operational matrix-based algorithm for simulating linear and fractional differential circuitsen_US
dc.typeConference_Paperen_US
dc.identifier.emailWang, Y: yzwang@eee.hku.hken_US
dc.identifier.emailLiu, H: liuht@eee.hku.hk-
dc.identifier.emailPang, GKH: gpang@eee.hku.hk-
dc.identifier.emailWong, N: nwong@eee.hku.hk-
dc.identifier.authorityPang, GKH=rp00162en_US
dc.description.naturepublished_or_final_version-
dc.identifier.scopuseid_2-s2.0-84862081734en_US
dc.identifier.hkuros209042-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84862081734&selection=ref&src=s&origin=recordpageen_US
dc.identifier.spage1463en_US
dc.identifier.epage1466en_US
dc.publisher.placeUnited Statesen_US
dc.description.otherThe 2012 Design, Automation, and Test in Europe Conference and Exhibition (DATE'12), Dresden, Germany, 12-16 March 2012. In Design, Automation, and Test in Europe Conference and Exhibition Proceedings, 2012, p. 1463-1466-
dc.identifier.scopusauthoridWong, N=7202836604en_US
dc.identifier.scopusauthoridPang, GKH=7103393283en_US
dc.identifier.scopusauthoridLiu, H=54784930900en_US
dc.identifier.scopusauthoridWang, Y=35791415800en_US

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