Title: Modifier-adaptation-based RTO scheme for water distribution networks under demand and parametric uncertainties
Authors: Jaivik Mankad; Nitin Padhiyar; Balasubramaniam Natarajan; Babji Srinivasan
Addresses: Chemical Engineering Discipline, Indian Institute of Technology Gandhinagar, Gandhinagar, Gujarat, India ' Chemical Engineering Discipline, Indian Institute of Technology Gandhinagar, Gandhinagar, Gujarat, India ' Electrical and Computer Engineering, Kansas State University, Manhattan, Kansas, USA ' Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai, Tamil Nadu, India
Abstract: The goal of pressure management in a water distribution network (WDN) is to avoid losses due to excessive pressure while meeting the minimum target pressure at nodes. Since nodal demands can fluctuate, real-time control of nodal pressures is critical for normal network operation. Optimising the operation of WDN using a model with uncertain parameters and unaccounted nodal demands generates solutions that are not truly optimal and may even be infeasible. This work aims to achieve real-time optimal operation of a WDN in the presence of various uncertainties. A modifier-adaptation (MA)-based real-time optimisation (RTO) strategy is used to drive the WDN to its optimal point. However, the MA-based RTO scheme assumes knowledge of key variables which may not be available in practice. Therefore, a Bayesian matrix completion approach for robust state estimation is used to impute unknown model parameters with limited measurements. Simulation results demonstrate the ability of this approach.
Keywords: real-time optimisation; modifier-adaptation; plant-model mismatch; water distribution networks; uncertain demand; pressure control.
DOI: 10.1504/IJAAC.2024.142044
International Journal of Automation and Control, 2024 Vol.18 No.6, pp.698 - 732
Received: 03 May 2023
Accepted: 01 Jan 2024
Published online: 07 Oct 2024 *