Experimental validation of the optimal trajectory of initiator concentration in a batch MMA polymerization reactor

Abstract

This article presents a method to determine the trajectory of initiator concentration that will produce polymer with desired number‐ and weight‐average molecular weights at a prespecified level of monomer conversion. The optimal control theory is applied to the mathematical model for a batch methymethacrylate (MMA) solution polymerization reactor system. By imposing the constraint that initiator concentration should decrease within the range of self‐consumption by the initiation reaction, one can obtain the initiator concentration trajectory that can be tracked by feeding the initiator alone. A control scheme is constructed with a cascade proportional‐integral‐derivative (PID) control algorithm for temperature control and a micropump is installed to manipulate the initiator feed rate. The experimental results show satisfactory tracking control performance despite the nonlinear features of the polymerization reactor system. Also, the monomer conversion and the average molecular weights measured are found to be in fairly good agreement with those of model prediction, respectively. In conclusion, the polymer having desired molecular weight distribution can be produced by operating the batch reactor with the initiator supplement policy calculated from the model. © 2000 John Wiley & Sons, Inc. J Appl Polym Sci 78: 1256–1266, 2000

Extended Two-Step Method for Molecular Weight Control in a Batch Polymerization Reactor

“…In such cases, however, it would be much more difficult to track the initiator concentration trajectory (cf. Jeong and Rhee).…”

“…In this case, it turns out that c 1 ) 0.365 mol -1 and c 2 ) -291.4 mol -1 (cf. eqs [17][18][19][20]. The first step procedure then gives y*(H 0 ) as depicted in Figure 1b, while T*(H 0 ) is computed in the second step to give Figure 1c.…”