Abstract: Three processes of complex distillation are simulated using the Newton homotopy continuation method in this article. They are; (1) the dehydration of ethanol with benzene -five steady - state solutions under the same specifications from just one starting point; (2) three phase distillation for five components; (3) three phase reaction distillation for five components. The selection of the parameters for controlling the step size has been investigated under different cases for each problem. The facts of rapid convergence from any one starting point show that the algorithm is more robust. The results of simulations are in good agreement with the references and industrial experiments.

摘要： 运用Newton同伦延拓算法对3个复杂蒸馏过程进行了模拟计算:(1)以苯为共沸剂的乙醇脱水三相共沸蒸馏——从单一起点出发找到同一规定条件下5个稳态解;(2)五组元三相蒸馏;(3)五组元三相反应蒸馏。就不同问题选择相应步长控制参数作了探索。计算过程表明从任意初始点出发均能快速收敛,有力地证明了算法的强壮收敛性。模拟结果与文献及工业试验吻合良好。