Evaluation of stationary state stability for the synthesis of operating procedures

The safe and reliable operation of chemical plants depends on high integrity operating procedures. Such procedures often involve process transitions through stationary states. A strategy for qualitatively evaluating the stability of stationary states is presented. This strategy is applied to linear processes and uses the Routh-Hurwitz conditions as a basis for analysis. The methodology requires specification of the parameter signs, and sometimes their possible equality and order of magnitude relations. The novelty of this approach relies on relaxing the requirement of detailed parameter information for the evaluation of process stability. This allows addressing stability concerns at earlier design stages than it is presently done. Since this analysis is performed at a minimal level of parameter information, it can generate process analysis and synthesis heuristics by identifying process structures which are inherendy stable. The strategy is applied in examples which involve series of material capacitors, proportional control and chemical reaction. Author to whom correspondence should be addressed

[1]  G. Stephanopoulos,et al.  Formal order-of-magnitude reasoning in process engineering , 1989 .

[2]  D. R. Coughanowr,et al.  Process systems analysis and control , 1965 .

[3]  Gary J. Powers,et al.  A synthesis method for chemical plant operating procedures , 1987 .

[4]  Jayant R. Kalagnanam Qualitative analysis of system behaviour , 1992 .

[5]  Colin A. Crooks Synthesis of operating procedures for chemical plants , 1992 .

[6]  足立 紀彦,et al.  Some Results on the Qualitative Theory of Matrix , 1981 .

[7]  Johan de Kleer,et al.  A Qualitative Physics Based on Confluences , 1984, Artif. Intell..

[8]  James P. Quirk The Correspondence Principle: A Macroeconomic Application , 1968 .

[9]  C. Jeffries Qualitative Stability and Digraphs in Model Ecosystems , 1974 .

[10]  Vital Aelion,et al.  A unified strategy for the retrofit synthesis of flowsheet structures for attaining or improving operating procedures , 1991 .

[11]  C. Hayashi,et al.  Nonlinear oscillations in physical systems , 1987 .

[12]  Benjamin Kuipers,et al.  Commonsense Reasoning about Causality: Deriving Behavior from Structure , 1984, Artif. Intell..

[13]  Gary J. Powers,et al.  Operating procedure synthesis using local models and distributed goals , 1988 .

[14]  Olivier Raiman,et al.  Order of Magnitude Reasoning , 1986, Artif. Intell..

[15]  George Stephanopoulos,et al.  Synthesis of operating procedures for complete chemical plants—I. Hierarchical, structured modelling for nonlinear planning , 1988 .

[16]  Hidekatsu Tokumaru,et al.  Some Results on the Qualitative Theory of Matrix , 1981 .

[17]  F. R. Gantmakher The Theory of Matrices , 1984 .

[18]  Yoshiteru Ishida,et al.  Using Global Properties for Qualitative Reasoning: A Qualitative System Theory , 1989, IJCAI.

[19]  G. J. Powers,et al.  Computer‐Aided planning of purge operations , 1988 .

[20]  Benjamin Kuipers,et al.  Qualitative reasoning: Modeling and simulation with incomplete knowledge , 1994, Autom..