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

张卫华; 吴重光; 王春利

doi:10.1016/S1004-9541(11)60170-5

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

Updated：2026-01-06

- Qualitative Algebra and Graph Theory Methods for Dynamic Trend Analysis of Continuous System
- Chinese Journal of Chemical Engineering Vol. 19, Issue 2, Pages: 308-315(2011)
- Affiliations：
  
  1. College of Information Science and Technology, Beijing University of Chemical Technology,Beijing,China,100029
  2. State Key Laboratory of Chemical Safety and Control, Qingdao Safety Engineering Institute, SINOPEC,Qingdao,China,266071
- Author bio：
- Funds：
- DOI：10.1016/S1004-9541(11)60170-5
  CLC：
- Published：2011
- Accepted：
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ZHANG Weihua, WU Chongguang, WANG Chunli. Qualitative Algebra and Graph Theory Methods for Dynamic Trend Analysis of Continuous System[J]. , 2011, 19(2): 308-315.
DOI：

ZHANG Weihua, WU Chongguang, WANG Chunli. Qualitative Algebra and Graph Theory Methods for Dynamic Trend Analysis of Continuous System[J]. , 2011, 19(2): 308-315. DOI： 10.1016/S1004-9541(11)60170-5.

摘要

Abstract

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 computeraided automatic reasoning.In this study

a qualitative affection equation based on multiple conditions is proposed

which enables the signed direct graphs to describe complex systems better and improves the fault diagnosis resolution.The application to an industrial case shows that the method performs well.

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