化工学报2012，Vol.63Issue(7)：2113-2120,8.DOI:10.3969/j.issn.0438-1157.2012.07.017
过程动态优化问题的自热式求解策略
Self-heating solving strategy for process dynamic optimization problems
摘要
Abstract
Simultaneous solving principles of dynamic optimization problems based on differential-algebraic equations (DAE) were analyzed, and a concise description of the full discrete model based on Lobatto collocation was proposed. For the same original dynamic model, even though the number of discrete elements could be changed in each optimization process, the structures of the optimal solutions retained the similarity. A fast solving strategy of dynamic optimization, named self-heating approach, integrating the warm-start technology for the interior point method and the initial value setting method of barrier parameter, was proposed, and the novel solving approach used low-density discrete solution to approximate the high-density discrete solution. Finally, a test problem of crystallization process was solved by the proposed strategy, and the excellent results confirmed that the solving time could be cut to less than 1/6.关键词
动态优化/代数微分方程/正交配置法Key words
dynamic optimization/ differential-algebraic equation/ orthogonal collocation method分类
通用工业技术引用本文复制引用
王志强,邵之江,王可心,方学毅..过程动态优化问题的自热式求解策略[J].化工学报,2012,63(7):2113-2120,8.基金项目
国家重点基础研究发展计划项目(2009CB320603) （2009CB320603）
国家自然科学基金项目(20206019) （20206019）
浙江省自然科学基金项目(Y1110243). （Y1110243）
