Qualitative Algebra and Graph Theory Methods for Dynamic Trend Analysis of Continuous System  

作　　者：张卫华 吴重光 王春利 

机构地区：[1]College of Information Science and Technology,Beijing University of Chemical Technology,Beijing 100029,China [2]State Key Laboratory of Chemical Safety and Control,Qingdao Safety Engineering Institute,SINOPEC,Qingdao 266071,China

出　　处：《Chinese Journal of Chemical Engineering》2011年第2期308-315,共8页中国化学工程学报（英文版）

基　　金：Supported by the National High Technology Research and Development Program of China(2009AA04Z133)

摘　　要：Qualitative algebraic equations are the basis of qualitative simulation,which are used to express the dynamic behavior of steady-state continuous processes.When the values and operation of qualitative variables are redefined,qualitative algebraic equations can be transformed into signed direct graphs,which are frequently used to predict the trend of dynamic changes.However,it is difficult to use traditional qualitative algebra methods based on artificial trial and error to solve a complex problem for dynamic trends.An important aspect of modern qualitative algebra is to model and characterize complex systems with the corresponding computer-aided automatic reasoning.In this study,a qualitative affection equation based on multiple conditions is proposed,which enables the signed di-rect graphs to describe complex systems better and improves the fault diagnosis resolution.The application to an industrial case shows that the method performs well.质的代数学的方程是质的模拟的基础，它被用来表示不变的连续过程的动态行为。当质的变量的价值和操作被重新定义时，质的代数学的方程能被转变成签署的直接的图，它经常被用来预言动态变化的趋势。然而，基于人工的尝试使用传统的质的代数学方法为动态趋势解决一个复杂问题是困难的。现代质的代数学的一个重要方面是为复杂系统建模并且描绘与相应电脑辅助的自动推理。在这研究，一个质的爱方程基于多重条件被建议，它使签署的直接的图能更好描述复杂系统并且改进差错诊断分辨率。到一个工业盒子的申请证明方法表现很好。

关 键 词：qualitative algebraic equations signed directed graph affection equation multiple conditions dynamic trend analysis 

分 类 号：TP271.6[自动化与计算机技术—检测技术与自动化装置] TM131[自动化与计算机技术—控制科学与工程]