Title :
An always-convergent method for finding the DC operating points of nonlinear circuits
Author_Institution :
Dept. of Electromagn. Theory, Tech. Univ. Budapest, Hungary
Abstract :
The Newton-Raphson algorithm is the most widely used nonlinear solving method, yet it has the serious drawback that, depending on its initial point, it can easily fall into an infinite loop or diverge to infinity. This paper presents a simple yet precise algorithm based on the piecewise-linear method by which an approximate solution of the network equations can be calculated. When this solution is used as a starting point, the Newton-Raphson algorithm will always converge to the exact result
Keywords :
Newton-Raphson method; nonlinear network analysis; piecewise linear techniques; DC operating points; Newton-Raphson algorithm; always-convergent method; infinite loop; network equations; nonlinear circuits; nonlinear solving method; piecewise-linear method; Circuit analysis; Circuit simulation; H infinity control; Nonlinear circuits; Nonlinear equations; Piecewise linear approximation; Piecewise linear techniques; Resistors; Vectors; Voltage control;
Conference_Titel :
Circuits and Systems, 1998. IEEE APCCAS 1998. The 1998 IEEE Asia-Pacific Conference on
Conference_Location :
Chiangmai
Print_ISBN :
0-7803-5146-0
DOI :
10.1109/APCCAS.1998.743773
