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

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 graph...

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Bibliographic Details
Published inChinese journal of chemical engineering Vol. 19; no. 2; pp. 308 - 315
Main Author 张卫华 吴重光 王春利
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2011
Subjects
affection equation
Algebra
Complex systems
dynamic trend analysis
Dynamical systems
Dynamics
Graphs
Mathematical analysis
Mathematical models
multiple conditions
qualitative algebraic equations
signed directed graph
Trends
代数和
代数方程
动态行为
图形符号
图论
定性仿真
计算机辅助
连续系统
multiple conditions
qualitative algebraic equations
dynamic trend analysis
signed directed graph
affection equation
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ISSN1004-9541
2210-321X
DOI10.1016/S1004-9541(11)60170-5

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Summary: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.
Bibliography:qualitative algebraic equations; signed directed graph; affection equation; multiple conditions; dynamic trend analysis
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.
ZHANG Weihua1,,WU Chongguang1 and WANG Chunli2 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
11-3270/TQ
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1004-9541
2210-321X
DOI:10.1016/S1004-9541(11)60170-5