Model reduction for DC solution of large nonlinear circuits

Authors:
Emad Gad;Michel Nakhla
Affiliations:
Department of Electronics, Carleton University, Ottawa, Ontario, Canada - K1S 5B6;Department of Electronics, Carleton University, Ottawa, Ontario, Canada - K1S 5B6
Venue:
ICCAD '99 Proceedings of the 1999 IEEE/ACM international conference on Computer-aided design
Year:
1999

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Abstract

A new algorithm based on model reduction using Krylov subspace technique is proposed to compute the DC solution of large nonlinear circuits. The proposed method combines continuation methods with model reduction techniques. Thus it enables the application of the continuation methods to an equivalent reduced-order set of nonlinear equations instead of the original system. This results in a significant reduction in the computational expense as the size of the reduced equations is much less than that of the original system.The reduced order system is obtained by projecting the set of nonlinear equations, whose solution represents the DC operating point, into a subspace of a much lower dimension. It is also shown that the both the reduced-order system and the original system share the first q derivatives w.r.t. the circuit variable used to parameterize the family of the solution trajectories generated by the continuation method.