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2005-11-17Buch DOI: 10.18452/2717
Topological index calculation of DAEs in circuit simulation
dc.contributor.authorTischendorf, Caren
dc.date.accessioned2017-06-15T18:04:27Z
dc.date.available2017-06-15T18:04:27Z
dc.date.created2005-11-17
dc.date.issued2005-11-17
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3369
dc.description.abstractElectric circuits are present in a number of applications, e.g. in home computers, television, credit cards, electric power networks, etc. The development of integrated circuit requires numerical simulation. Modern modeling techniques like the Modified Nodal Analysis (MNA) lead to differential algebraic equations (DAEs). Properties like the stability of solutions of such systems depend strongly on the DAE index. The paper deals with lumped circuits containing voltage sources, current sources as well as general nonlinear but time-invariant capacitances, inductances and resistances. We present network-topological criteria for the index of the DAEs obtained by the classical and the charge oriented MNA. Furthermore, the index is shown to be limited to 2 for our model-class.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectDAEeng
dc.subjectcircuit simulationeng
dc.subjectmodified nodal analysiseng
dc.subjectindexeng
dc.subjectdifferential-algebraic equationeng
dc.subjectMNAeng
dc.subjectintegrated circuiteng
dc.subject.ddc510 Mathematik
dc.titleTopological index calculation of DAEs in circuit simulation
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10053918
dc.identifier.doihttp://dx.doi.org/10.18452/2717
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages12
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume1997
local.edoc.container-issue17
local.edoc.container-year1997
local.edoc.container-erstkatid2075199-0

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