Structural analysis of electric circuits and consequences for MNA

✍ Scribed by Est�vez Schwarz, D.; Tischendorf, C.

• Book ID: 101225288
• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 215 KB
• Volume: 28
• Category: Article
• ISSN: 0098-9886
• DOI: 10.1002/(sici)1097-007x(200003/04)28:2<131::aid-cta100>3.0.co;2-w

✦ Synopsis

The development of integrated circuits requires powerful numerical simulation programs. Naturally, there is no method that treats all the di!erent kinds of circuits successfully. The numerical simulation tools provide reliable results only if the circuit model meets the assumptions that guarantee a successful application of the integration software. Owing to the large dimension of many circuits (about 10 circuit elements) it is often di$cult to "nd the circuit con"gurations that lead to numerical di$culties. In this paper, we analyse electric circuits with respect to their structural properties in order to give circuit designers some help for "xing modelling problems if the numerical simulation fails. We consider one of the most frequently used modelling techniques, the modi"ed nodal analysis (MNA), and discuss the index of the di!erential algebraic equations (DAEs) obtained by this kind of modelling.