New methods for speeding up computation of Newton updates in harmonic balance

A new adaptive approach to solving large-dimension harmonic balance (HB) problems in RF circuit simulation is presented. The method is based on adjusting the order of the equation system according to the degree of nonlinearity of each node in the circuit. A block-diagonal preconditioner is used to construct an algorithm for order reduction during the iterative HB process.

[1]  Alessandra Costanzo,et al.  State-of-the-art harmonic-balance simulation of forced nonlinear microwave circuits by the piecewise technique , 1992 .

[2]  M.M. Gourary,et al.  Iterative solution of linear systems in harmonic balance analysis , 1997, 1997 IEEE MTT-S International Microwave Symposium Digest.

[3]  Jacob K. White,et al.  Fast simulation algorithms for RF circuits , 1996, Proceedings of Custom Integrated Circuits Conference.

[4]  Alberto L. Sangiovanni-Vincentelli,et al.  Steady-state methods for simulating analog and microwave circuits , 1990, The Kluwer international series in engineering and computer science.

[5]  Jiri Vlach,et al.  A piecewise harmonic balance technique for determination of periodic response of nonlinear systems , 1976 .

[6]  David E. Long,et al.  Efficient frequency domain analysis of large nonlinear analog circuits , 1996, Proceedings of Custom Integrated Circuits Conference.

[7]  Alberto L. Sangiovanni-Vincentelli,et al.  Simulation of Nonlinear Circuits in the Frequency Domain , 1986, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[8]  Mark M. Gourary,et al.  A new technique to exploit frequency domain latency in harmonic balance simulators , 1999, Proceedings of the ASP-DAC '99 Asia and South Pacific Design Automation Conference 1999 (Cat. No.99EX198).

[9]  A. Neri,et al.  State of the art and present trends in nonlinear microwave CAD techniques , 1988 .

[10]  Hideki Asai.  Relaxation-based simulation of nonlinear circuits in the frequency domain , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.