Year: 2022
Type: article
Abstract: A state‐space representation of water quality (WQ) dynamics describing disinfectant (e.g., chlorine) transport dynamics in drinking water distribution networks has been recently proposed. Such representation is a byproduct of space‐ and time‐discretization of the partial differential equations modeling transport dynamics. This results in a large state‐space dimension even for small networks with tens of nodes. Although such a state‐space model provides a model‐driven approach to predict WQ dynamics, incorporating it into model‐based control algorithms or state estimators for large networks is challenging and at times intractable. To that end, this paper investigates model order reduction (MOR) methods for WQ dynamics with the objective of performing post‐reduction feedback control. The presented investigation focuses on reducing state‐dimension by orders of magnitude, the stability of the MOR methods, and the application of these methods to model predictive control.
Source: Water Resources Research
DOI: 10.1029/2021wr029856
Institutions: Beijing University of Posts and Telecommunications, The University of Texas at San Antonio, Vanderbilt University, Institute of Electrical and Electronics Engineers, Mitsubishi Electric Research Laboratories (United States), The University of Texas at Austin, University of Illinois Chicago
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
Awards: Collaborative Research: Joint Control of Hydraulics and Water Quality Dynamics in Drinking Water Networks, Collaborative Research: Joint Control of Hydraulics and Water Quality Dynamics in Drinking Water Networks, Collaborative Research: Selecting Sensors and Actuators for Topologically Evolving Networked Dynamical Systems: Battling Contamination in Water Networks, Collaborative Research: Joint Control of Hydraulics and Water Quality Dynamics in Drinking Water Networks, Collaborative Research: Joint Control of Hydraulics and Water Quality Dynamics in Drinking Water Networks
OpenAlex ID: W3132906825