Abstract
In this paper, we consider model reduction of linear and nonlinear differential-algebraic equations arising in circuit simulation. Circuit equations obtained using modified nodal or loop analysis have a ;special structure that can be exploited to construct efficient model reduction algorithms. For linear systems, we review passivity-preserving balanced truncation model reduction methods that are based on solving projected Lur’e or Lyapunov matrix equations. Furthermore, a ;topology-based index-preserving procedure for extracting large linear subnetworks from nonlinear circuits is given. Finally, we describe a ;new MATLAB Toolbox PABTEC for model reduction of circuit equations and present some results of numerical experiments.
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