Title :
A novel algorithm for DC analysis of piecewise-linear circuits: popcorn
Author :
S. Topcu;O. Ocah;A. Atalar;M.A. Tan
Author_Institution :
Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey
Abstract :
A fast and convergent iteration method for piecewise-linear analysis of nonlinear resistive circuits is presented. Most of the existing algorithms are applicable only to a limited class of circuits. In general, they are either not convergent or too slow for large circuits. The new algorithm presented in the paper is much more efficient than the existing ones and can be applied to any piecewise-linear circuit. It is based on the piecewise-linear version of the Newton-Raphson algorithm. As opposed to the Newton-Raphson method, the new algorithm is globally convergent from an arbitrary starting point. It is simple to understand and it can be easily programmed. Some numerical examples are given in order to demonstrate the effectiveness of the proposed algorithm in terms of the amount of computation.
Keywords :
"Circuit analysis","Algorithm design and analysis","Piecewise linear techniques","Newton method"
Journal_Title :
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications