Artificial parameter homotopy methods for the DC operating point problem

Efficient and robust computation of one or more of the operating points of a nonlinear circuit is a necessary first step in a circuit simulator. The application of globally convergent probability-one homotopy methods to various systems of nonlinear equations that arise in circuit simulation is discu...

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Bibliographic Details
Published in:IEEE transactions on computer-aided design of integrated circuits and systems 1993-06, Vol.12 (6), p.861-877
Main Authors: Melville, R.C., Trajkovic, L., Fang, S.-C., Watson, L.T.
Format: Article
Language:English
Subjects:
Applied sciences
Circuit simulation
Circuit theory
Coercive force
Computational modeling
Convergence
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Nonlinear circuits
Nonlinear equations
Packaging
Robustness
Steady-state
Theoretical study. Circuits analysis and design
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Summary:Efficient and robust computation of one or more of the operating points of a nonlinear circuit is a necessary first step in a circuit simulator. The application of globally convergent probability-one homotopy methods to various systems of nonlinear equations that arise in circuit simulation is discussed. The coercivity conditions required for such methods are established using concepts from circuit theory. The theoretical claims of global convergence for such methods are substantiated by experiments with a collection of examples that have proved difficult for commercial simulation packages that do not use homotopy methods. Moreover, by careful design of the homotopy equations, the performance of the homotopy methods can be made quite reasonable. An extension to the steady-state problem in the time domain is also discussed.< >
ISSN:0278-0070
1937-4151
DOI:10.1109/43.229761