An MPEC formulation for dynamic optimization of distillation operations

作     者：Raghunathan, AU Diaz, MS Biegler, LT 

作者机构：Carnegie Mellon Univ Dept Chem Engn Pittsburgh PA 15213 USA Univ Nacl Sur CONICET PLAPIQUI RA-8000 Bahia Blanca Argentina 

出 版 物：《COMPUTERS & CHEMICAL ENGINEERING》 (计算机与化工)

年 卷 期：2004年第28卷第10期

页      面：2037-2052页

核心收录：

学科分类：0817[工学-化学工程与技术] 08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：National Science Foundation, NSF, (CTS-0314647) National Science Foundation, NSF Defense Advanced Research Projects Agency, DARPA 

主　　题：dynamic optimization nonlinear programming barrier methods complementarity conditions distillation 

摘      要：We consider the dynamic optimization of chemical processes with changes in the number of equilibrium phases. Recent work has shown that transitions in the number of phases can be modeled as a mathematical program with equilibrium constraints (MPEC). This study generalizes the MPEC to consider dynamic characteristics. In particular, we describe a simultaneous discretization and solution strategy for dynamic optimization problems with complementarity constraints. These discretized problems are then solved with IPOPT-C, a recently developed barrier method for MPEC problems. Our approach is applied to two distillation examples. In the first, we consider the optimal startup of a binary batch distillation problem. In the second, we consider the dynamic operation of a cryogenic column for the separation of natural gas liquids. Both cases demonstrate the effectiveness of the approach on large scale MPEC problems. (C) 2004 Published by Elsevier Ltd.