Evaluation of Parameter Estimation Methods for Crystallization Processes Modeled via Population Balance Equations

摘要

Population balance equations (PBE) coupled with mass and energy balance equations represent the common modeling framework for crystallization processes. Often the expressions required for crystal growth, nucleation, as well as aggregation and breakage rates contain parameters that need to be estimated from experimental data. To establish a process model, parameter estimation (PE) is applied to determine an optimal set of parameters by minimizing the sum of squared errors between the experimental results and the model output. Inappropriate selection of the objective function, the optimization routine itself and inaccurate or limited experimental data might severely handicap the parameter estimation procedure.