基于信赖域算法的精馏塔优化

从结构优化角度建立精馏塔优化的混合整数非线性规划(MINLP)模型，为了消除整数变量，引入绕流效率将MINLP问题转化为非线性规划(NLP)问题。针对得到的NLP问题提出一种优化方法，在该方法中采用结构优化中常用的信赖域优化算法进行求解，并应用虚拟瞬态连续性方程辅助优化中的稳态模拟。采用提出的优化方法对3个精馏系统进行设计优化，以不同初始值开始，均可得到令人满意的优化结果，表明所提优化方法具有良好的稳健性，对于较复杂的部分热耦合精馏过程仍然可以有效优化求解；信赖域算法在精馏塔优化中也表现出良好的收敛性。

Optimization of distillation column based on trust region algorithm

In this paper, a mixed integer nonlinear programming (MINLP) model for distillation columns optimization is established from the perspective of structural optimization. In order to eliminate integer variables, the bypass efficiency model is introduced to transform the MINLP problem into a nonlinear programming (NLP) problem. An optimization method is proposed to solve the NLP problem. In this method, the trust region optimization algorithm which commonly used in structural optimization is used and the pseudo-transient continuation model is used to assist the steady-state simulation in optimization. The optimization method proposed in this paper is used to optimize three distillation cases. All the cases can get satisfactory optimization results starting from different initial points. The results show that the proposed optimization method has good robustness and can still effectively solve the complex partial thermal coupling distillation process. The trust region algorithm also shows good convergence in the optimization of distillation column.