有向グラフによる代数方程式系の構造解析とその応用--3成分系蒸留塔計算への適用

概要

論文の詳細を見る
Many problems in process systems engineering can be reduced to that of solving a set of non-linear algebraic equations. This system of algebraic equations is usually given as a model for presenting the performance of an unit process or the basic equations for designing a chemical process system. Moreover, most optimization problems can also be reduced to that of sloving a system of algebraic equations. Often, obtaining their solutions is the most difficult and important part of the problem. The most difficult problem is how to find the independent variables to which arbitrary values can be assigned. The next is how to most effectively obtain all the solutions of other variables depending on them.<BR>In this paper, a new method is presented to resolve these problems by introducing new concepts such as "the normalization operator", "a local coordinate system", and so on. Also, by giving a system of algebraic equations their directed graphical representation, a structural analysis of the equations is performed. In the latter half of this paper, the method is applied to a model for presenting the performance of a distillation column.
社団法人化学工学会の論文