Title :
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
fDate :
3/1/2003 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.808897