Stability analysis of a continuous stirred tank reactor with an autocatalytic reaction
Department of Chemical Engineering and Chemistry
Master of Science
Chen, Hung T.
Perna, Angelo J.
Lyapunov's Second Method
The basic principles of stability analysis are set forth, including the development of a mathematical model, steady state analysis, integration of the dynamic system equations, and predictions of transient responses. The equations for the mathematical model are developed for a continuous stirred tank reactor with a cooling jacket, containing an autocatalytic reaction, in unsteady state operation. These equations are numerically integrated to obtain a good picture of reactor dynamics about the steady state. State variable methods, including the classical linearization theorems and Lyapunov's Second Method, are utilized to predict bounds of stable reactor behavior. A discussion of the shortcomings of each method is presented. Finally the results are compared and recommendations are set forth.
njit-etd1971-003 (74 pages ~ 4,486 KB pdf)
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Created May 22, 2002