Abstract

The dynamic behaviour of a continuous stirred tank reactor (CSTR) has been the subject of many published works, expecially with regard to the possible occurrence of particular phenomena like permanent oscillations, the so called “limit cycles”. The Hopf Bifurcation Theory has been well exploited and today it is actually possible to predict the dynamic behaviour of the reactor in the entire parameters space. Starting from this basis, our aim is: “After ascertaining that the reactor operation is stable for a particular choice of parameters set, which are the maximum perturbations we can accept to be sure not to change the operating point?” We determine the region of asymptotic stability (RAS) by means of a particular reversing-time integration technique for a refrigerated CSTR where an irreversible first-order exothermic reaction takes place. After taking into account the influence of the parameters which characterize the reactor, such as the number of transport units, the behaviour of the system connected to a control loop is studied, in order to point out how the control system can affect the size of RAS.

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