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Structural analysis for electric circuits and consequences for MNA
- Publication Year :
- 2005
- Publisher :
- Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik, 2005.
-
Abstract
- The development of integrated circuits requires powerful numerical simulation programs. Of course, there is no method that treats all the different kinds of circuits successfully. The numerical simulation tools provide reliable results only if the circuit model meets the assumptions that guarantee the successful application of the integration software. Because of the large dimension of many circuits (about $10^7$ circuit elements) it is often difficult to find the circuit configurations that lead to numerical difficulties. In this paper, we analyze electric circuits with respect to their structural properties in order to give circuit designers some help for fixing modelling problems if the numerical simulation fails. We consider one of the most frequently used modelling technique, the modified nodal analysis (MNA), and discuss the index of the differential algebraic equations (DAEs) obtained by this kind of modelling.
- Subjects :
- index
structural properties
510 Mathematik
Hardware_PERFORMANCEANDRELIABILITY
differential-algebraic equation
modelling
Computer Science::Hardware Architecture
Computer Science::Emerging Technologies
Circuit simulation
MNA
modified nodal analysis
Hardware_INTEGRATEDCIRCUITS
ddc:510
DAE
Hardware_LOGICDESIGN
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.od.......133..0e9f0ddb9e19500de47ef05b1843ba71