Optimization modeling tools are essential to determine optimal design specifications and operation conditions of polymerization processes, especially when quality indices based on molecular weight distributions (MWDs) must be enforced. This study proposes a generalized MWD‐based optimization strategy using orthogonal collocation in two dimensions, which can capture the dynamic features of MWDs accurately. To enable the strategy, this study considers generalized initialization methods for large‐scale simulation and optimization. Here, a homotopy method based on intermediate solutions is adopted to generate initial values for general steady‐state simulation models, starting from an arbitrary known solution for any steady‐state simulation model. For dynamic simulation models, the response of a first‐order linear system is adopted to initialize the state variables. Case studies show the effectiveness of this procedure to enable systematic, reliable, and efficient solution of the optimization problem.

中文翻译：

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二维配置的动态模拟和优化坡度过渡过程的通用初始化

优化建模工具对于确定聚合工艺的最佳设计规格和操作条件至关重要，特别是在必须基于分子量分布（MWD）的质量指标时。这项研究提出了一种使用二维正交配置的基于MWD的广义优化策略，该策略可以准确地捕获MWD的动态特征。为了实现该策略，本研究考虑了用于大规模仿真和优化的通用初始化方法。在这里，从任何稳态仿真模型的任意已知解开始，采用基于中间解的同伦方法来生成一般稳态仿真模型的初始值。对于动态仿真模型，采用一阶线性系统的响应来初始化状态变量。案例研究表明，此过程可有效，系统，可靠，高效地解决优化问题。