Model-Order Reduction Techniques for Circuits and Interconnects Simulation
Beyene, Wendemagegnehu Tsegaye
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https://hdl.handle.net/2142/81173
Description
Title
Model-Order Reduction Techniques for Circuits and Interconnects Simulation
Author(s)
Beyene, Wendemagegnehu Tsegaye
Issue Date
1997
Doctoral Committee Chair(s)
Schutt-Ainé, José E.
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
The basic goal of this dissertation is to extend the use of order-reduction techniques as accurate methods for analyzing complex electronic systems. The theoretical and practical aspects of moment-matching, Krylov subspace-based methods, and rational approximations techniques are studied. The moment-matching techniques are directly applied to p-n junction device equations to accurately model the carrier dynamic in the junctions. A robust approximation technique that uses Householder orthoganalization techniques is developed to generate macromodels of electromagnetic systems, such as frequency-dependent coupled transmission lines. A pole-clustering technique with inverse distance-measure criterion is used to further reduce the models. This allows the efficient accurate simulation of frequency-dependent coupled transmission lines characterized by scattering parameters and an optimal reference system. The heterogeneous reduction techniques are woven into a unified method by using network partitioning techniques. Recursive convolution is used to speedup the transient simulation. The method does not suffer from aliasing or round-off errors caused by nonband-limited frequency responses, nor by numerical transforms of a large number of points, respectively.
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