Author(s) :
Timo Reis
,
Tatjana Stykel
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 32-2008
MSC 2000
- 34A09 Implicit equations, differential-algebraic equations
-
15A24 Matrix equations and identities
Abstract :
We present a passivity-preserving balanced truncation model reduction
method for differential-algebraic equations arising in circuit simulation. This method is based on balancing the solutions of projected Lur'e equations. By making use of the special structure of
circuit equations, we can reduce the numerical effort for balanced
truncation significantly. It is shown that the property of reciprocity is also preserved in the reduced-order model. Network topological
interpretations of certain circuit effects are given. The presented
theory is illustrated by a numerical example.
Keywords :
balanced truncation, bounded real, electrical circuits, Lur'e equations, model reduction, passivity, positive real, projectors, reciprocity, Riccati equations