Envelope-following method to compute steady-state solutions of electrical circuits

Author

Brambilla, Angelo ; Maffezzoni, Paolo

Author_Institution

Dipt. di Elettronica e Informazione, Milan, Italy

Volume

50

Issue

3

fYear

2003

fDate

3/1/2003 12:00:00 AM

Firstpage

407

Lastpage

417

Abstract

The paper deals with the determination of the steady-state solution of both autonomous and nonautonomous circuits. Only time-domain methods are considered, and, in particular, the shooting (SH) and multishooting (MSH) ones. It is well known that one of their main drawbacks is the lack of convergence if they are not started from an initial guess "close enough" to the steady-state solution. To overcome this problem, we present an envelope-following method that efficiently brings the operating point of the circuit into the convergence region of the shooting (SH) and multishooting (MSH) algorithms.

Keywords

Newton method; circuit analysis computing; integration; numerical stability; prediction theory; A-stability property; autonomous circuits; circuit operating point; convergence region; envelope-following method; multishooting algorithm; nonautonomous circuits; prediction-correction algorithm; shooting algorithm; steady-state solution; time-domain methods; Acceleration; Circuit analysis; Circuit simulation; Computational modeling; Convergence; Differential algebraic equations; Frequency; Steady-state; Time domain analysis; Transient analysis;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2003.808897

Filename

1193021