Automated extraction of nonlinear circuit macromodels

Model reduction is a popular approach for incorporating detailed physical effects into high level simulations. In this paper the author presents a simple method for automatically extracting macromodels of nonlinear circuits with time-varying operating points. The models generated are truly "reduced" meaning that the complexity of macromodel evaluation is not strongly dependent on the size or complexity of the original detailed circuit description.

[1]  Mattan Kamon,et al.  Efficient Reduced-Order Modeling of Frequency-Dependent Coupling Inductances associated with 3-D Interconnect Structures , 1995, 32nd Design Automation Conference.

[2]  Robert Skelton,et al.  Model reductions using a projection formulation , 1987, 26th IEEE Conference on Decision and Control.

[3]  J. M. A. Scherpen,et al.  Balancing for nonlinear systems , 1993 .

[4]  J. Phillips,et al.  Simulation and modeling of intermodulation distortion in communication circuits , 1999, Proceedings of the IEEE 1999 Custom Integrated Circuits Conference (Cat. No.99CH36327).

[5]  Eric James Grimme,et al.  Krylov Projection Methods for Model Reduction , 1997 .

[6]  J. Phillips,et al.  Model reduction of time-varying linear systems using approximate multipoint Krylov-subspace projectors , 1998, 1998 IEEE/ACM International Conference on Computer-Aided Design. Digest of Technical Papers (IEEE Cat. No.98CB36287).

[7]  L. Sirovich.  Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .

[8]  Lawrence T. Pileggi,et al.  PRIMA: passive reduced-order interconnect macromodeling algorithm , 1998, 1997 Proceedings of IEEE International Conference on Computer Aided Design (ICCAD).

[9]  Mattan Kamon,et al.  Efficient reduced-order modeling of frequency-dependent coupling inductances associated with 3-D interconnect structures , 1996 .

[10]  Roland W. Freund,et al.  Efficient linear circuit analysis by Pade´ approximation via the Lanczos process , 1994, EURO-DAC '94.

[11]  J.A. De Abreu-Garcia,et al.  On the computation of reduced order models of nonlinear systems using balancing technique , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[12]  A. Isidori,et al.  Nonlinear system I , 1999 .