Title :
Generalized reduction constraints for the global optimization of dynamic process networks using topological invariants
Author :
Wartmann, M.R. ; Heirung, T.A.N. ; Ruiz, J.P. ; Ydstie, B.E.
Author_Institution :
Dept. of Chem. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA
fDate :
June 30 2010-July 2 2010
Abstract :
We describe a novel framework for the modeling and optimization of dynamic process networks based on network theory. Global optimization of nonlinear systems is investigated for dynamic flow problems. Tellegen´s Theorem, a topological invariant of process networks, plays a central role as generalized reduction constraint. In order to improve the computational efficiency of the spatial branch and bound methods for the solution of global optimization problems, we develop a systematic method to generate formulations which lead to tighter convex relaxations and improved numerical characteristics.
Keywords :
network theory (graphs); network topology; optimisation; Tellegen theorem; convex relaxation; dynamic process network; generalized reduction constraint; global optimization; network theory; topological invariant; Character generation; Computational efficiency; Constraint optimization; Constraint theory; Large-scale systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Optimization methods; Partial differential equations; dynamic optimization; generalized reduction constraints; global optimization; network theory;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531427
