Industrial & Engineering Chemistry Research, Vol.58, No.31, 14239-14251, 2019
Pareto-Optimal Fronts for Simple Crystallization Systems Using Pontryagin's Minimum Principle
Pontryagin's minimum principle is applied to determine Pareto-optimal fronts for multiobjective optimization of seeded batch crystallization processes. For cases with two objectives, when both objectives are based on properties of the higher moments or lower moments of the crystal size distribution (for example, weight mean size and weight mean coefficient of variation), there is relatively little difference among the trajectories along the optimal front. By contrast, when one objective is based on the lower moments (e.g., minimizing the number of nuclei) and another objective is based on the higher moments (e.g., minimizing the nucleated mass), the difference in the shape of the trajectories along the front is more pronounced. In this case, a constant growth rate trajectory may represent a reasonable compromise between the competing objectives.