区間演算の電気回路網解析への応用

概要

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This paper presents one of the applications of interval mathematics to the analysis of linear resistive networks with tolerance. In order to obtain the well-estimated interval solutions, the hybrid equation of the network is proposed in comparison with usual cutset or tieset equation. In addition, we use Hansen's preconditioning to carry out interval Gaussian algorithm. To have well-estimated interval solution in every branch of the network we propose to formulate the hybrid equation by introducing maximally distant tree pair in a graph theory and take the intersection of the interval solution for each tree. Finally in order to have a better estimated solution, we describe a method for solving the hybrid equations with the subdivided interval parameters for each tree and taking the union of the interval solutions for each equation. These methods are compared with the results by Monte Carlo method.
日本応用数理学会の論文
1993-06-15