Abstract
This paper deals with the decomposition of process networks consisting of distributed parameter systems modeled by first-order hyperbolic partial differential equations (PDEs) and lumped parameter systems modeled by ordinary differential equations (ODEs) into compact, weakly interacting subsystems. A structural interaction parameter (SIP) generalizing the concept of relative degree in ODE systems to first-order hyperbolic PDE systems is defined. An equation graph representation of these systems is developed for efficient calculation of SIPs. An agglomerative (bottom-up) hierarchical clustering algorithm and a divisive (top-down) algorithm are used to obtain hierarchical decompositions based on the SIPs. Modularity maximization is used to select the optimal decomposition. A network of two absorbers and two desorbers serves as a case study. The optimal decompositions of this network obtained from both the algorithms illustrate the effectiveness of the graph-based procedure in capturing key structural connectivity properties of the process network.
Original language | English (US) |
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Pages (from-to) | 532-543 |
Number of pages | 12 |
Journal | Computers and Chemical Engineering |
Volume | 106 |
DOIs | |
State | Published - Nov 2 2017 |
Bibliographical note
Publisher Copyright:© 2017
Keywords
- Distributed control
- Distributed parameter system
- Graph theory
- Process network decomposition