Graph reduction of complex energy‐integrated networks: Process systems applications

Abstract

We illustrate the application of a graph reduction method developed recently to analyze complex energy-integrated process networks. The method uses information on the energy flow structure of the network and the orders of magnitude of the different energy flows to generate, automatically, information on the time scales where the process units evolve, canonical forms of the reduced models in each time scale, and controlled variables and potential manipulated inputs available in each time scale. Representative examples of reactor-heat exchanger and distillation column networks are considered to illustrate the method and develop insights on effective control strategies for these processes.

Reduction of complex energy-integrated process networks using graph theory

“…The proposed framework is illustrated with the help of an example complex network. The presented algorithm has also been successfully applied to relevant process network examples -a hydrodealkylation of toluene system (Heo et al, 2012), an energy-integrated solid oxide fuel cell system (Heo et al, 2014), and an energy-integrated distillation column system (Heo et al, 2014).…”

“…Preliminary results on this work were presented in Jogwar et al (2011); Heo et al (2012). Applications of the presented algorithm to complex energy-integrated systems have been described in Heo et al (2014).…”

A Graph-Based Modeling Abstraction for Optimization: Concepts and Implementation in Plasmo.jl

“…Moreover, graphs can be naturally built by combining graphs from different classes (e.g., stochastic PDE optimization). This approach is thus more general than other graph-based abstractions proposed for specific problem classes such as network optimization and control [33,41,55,78,31]. This modeling abstraction also generalizes those used in simulation packages such as Modelica, AspenPlus, gProms, which are tailored to specific physical systems.…”

Sustainability and process control: A survey and perspective

“…Explicit descriptions of the dynamics in the different time scales that can be embedded in model-based control designs can be obtained using singular perturbation analysis [34]. Graph theoretic versions of these reduction methods have also been developed [35][36][37].…”