An Efficient and Practical Algorithm for Finding All DC Solutions of Nonlinear Circuits Using GLPK

An Efficient and Practical Algorithm for Finding All DC Solutions of Nonlinear Circuits Using GLPK
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DOI：
10.1587/transfun.e92.a.638
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发表时间：
2009-02
期刊：
IEICE Trans. Fundam. Electron. Commun. Comput. Sci.
影响因子：
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通讯作者：
K. Yamamura;Koki Suda
K. Yamamura;Koki Suda
中科院分区：
其他
文献类型：
--
作者：
K. Yamamura;Koki Suda

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提出了一种高效实用的求非线性电路全部直流解的算法。该算法基于区间分析和线性规划技术。所提出的算法是非常有效的，可以很容易地实现使用免费包GLPK （GNU线性规划工具包）。数值算例表明，该算法能在实际计算时间内求出由2000个非线性电路方程组成的系统的所有解。
An efficient and practical algorithm is proposed for finding all DC solutions of nonlinear circuits. This algorithm is based on interval analysis and linear programming techniques. The proposed algorithm is very efficient and can be easily implemented by using the free package GLPK (GNU Linear Programming Kit). By numerical examples, it is shown that the proposed algorithm could find all solutions of a system of 2000 nonlinear circuit equations in practical computation time.