Title :
Numerical integration algorithms with artificial damping for the PTA method applied to DC analysis of nonlinear circuits
Author :
Xiao Wu ; Zhou Jin ; Inoue, Yasuyuki
Author_Institution :
Grad. Sch. of Inf., Waseda Univ. Hibikino, Kitakyushu, Japan
Abstract :
In this paper, new numerical integration algorithms with artificial damping effect are proposed which can be applied to the constant, pure PTA method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. This method can effectively avoid the oscillation and the “time step too small” problems compared with conventional PTA algorithms. The mathematical description for this method is presented. The application of the proposed method is illustrated by solving practical CMOS nonlinear circuits.
Keywords :
CMOS integrated circuits; Newton-Raphson method; circuit oscillations; integration; numerical analysis; polynomial approximation; CMOS nonlinear circuits; DC analysis; DC operating points; Newton-Raphson method; PTA method; artificial damping effect; numerical integration algorithms; Algorithm design and analysis; Circuit stability; Convergence; Damping; Numerical stability; Oscillators; Stability analysis;
Conference_Titel :
Communications, Circuits and Systems (ICCCAS), 2013 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4799-3050-0
DOI :
10.1109/ICCCAS.2013.6765266