Automatic Model Reduction of Linear Population Balance Models by Proper Orthogonal Decomposition

This paper discusses the use of Proper Orthogonal Decomposition (POD) for the model reduction of particle processes in fluid flow described by Population Balance Equations (PBEs). This class of processes is very important for chemical engineering. As detailed models of such processes turn out to be very complicated, POD is an attractive way to obtain reduced models of low order. This paper reports on the automatization of the mentioned method. An automatic procedure for the reduction of PBE models is presented, which is implemented in the modeling and simulation environment ProMoT/Diana. Currently, the procedure is applicable to linear models, but is extendable to nonlinear models, as well.