A Stagewise Algorithm for Multicomponent Multistage Batch Distillation Calculation

Abstract

A stagewise algorithm is proposed for the solution of multicomponent multistage batch distillation problems. In order to make the algorithm more precise and flexible, a generalized implicit Euler equation is implemented for numerical integration of the process variables on each stage at succeeding time steps. An overall normalized θ method is also employed to accelerate convergence for each time step. The relative performance of the proposed method compared with the Runge-Kutta method is shown using a numerical example; the CPU time can be decreased by up to 1/300. Comparison of the simulation results with the experiment suggests the adequacy of the proposed method.