An efficient algorithm for finding all DC solutions of nonlinear circuits

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作者
Yamamura, Kiyotaka [1 ]
Suda, Koki [1 ]
Kuroki, Wataru [1 ]
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[1] Department of Electrical Electronic and Communication Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan
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Algorithms - Computational methods - Computer aided network analysis - Numerical methods - Problem solving;
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摘要
An efficient algorithm is proposed for finding all DC solutions of nonlinear (not piecewise-linear) circuits with mathematical certainty. This algorithm is based on interval analysis, the LP test using the dual simplex method, the contraction method, and a special technique which makes the algorithm not require large memory space and not require copying tableaus. By numerical examples, it is shown that the proposed algorithm could find all solutions of a system of 2 000 nonlinear circuit equations in practical computation time.
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页码:1097 / 1102
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