Title :
An efficient algorithm for finding all solution of nonlinear resistive circuits
Author :
Yamamura, Iyotaka ; Machida, Akinori ; Katogi, So
Author_Institution :
Chuo Univ., Tokyo, Japan
Abstract :
An efficient algorithm is proposed for finding all solutions of nonlinear (not piecewise-linear) resistive circuits with mathematical certainty. This algorithm is based on interval analysis, the dual simplex method, and the contraction method. By numerical example, it is shown that the proposed algorithm could find all solutions of a system of 2000 nonlinear circuit equations in acceptable computation time.
Keywords :
circuit simulation; nonlinear network analysis; circuit simulation; contraction method; dual simplex method; interval analysis; mathematical certainty; nonlinear resistive circuits; solution finding; Algorithm design and analysis; Circuit analysis; Circuit simulation; Computational efficiency; Nonlinear circuits; Nonlinear equations; Performance analysis; Piecewise linear techniques; Sufficient conditions;
Conference_Titel :
Communications, Circuits and Systems, 2004. ICCCAS 2004. 2004 International Conference on
Print_ISBN :
0-7803-8647-7
DOI :
10.1109/ICCCAS.2004.1346421