Stochastic Co-Design of Storage and Control for Water Distribution Systems
Date
2025
Authors
Wang, Y.
Weyer, E.
Manzie, C.
Simpson, A.R.
Blinco, L.
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Journal article
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IEEE Transactions on Control Systems Technology, 2025; 33(1):274-287
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Ye Wang, Erik Weyer, Chris Manzie, Angus R. Simpson, and Lisa Blinco
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Abstract
Water distribution systems (WDSs) are typically designed with a conservative estimate of the ability of a control system to utilize the available infrastructure. The controller is designed and tuned after a WDS has been laid out, a methodology that may introduce unnecessary conservativeness in both system design and control, adversely impacting operational efficiency and increasing economic costs. To address these limitations, we introduce a method to simultaneously design infrastructure and develop control parameters, the co-design problem, with the aim of improving the overall efficiency of the system. Nevertheless, the co-design of a WDS is a challenging task given the presence of stochastic variables (e.g., water demands and electricity prices). In this article, we propose a tractable stochastic co-design method to design the best tank size and optimal control parameters for WDS, where the expected operating costs are established based on Markov chain theory. We also give a theoretical result showing that the average long-run operating cost converges to the expected operating cost with probability 1. Furthermore, this method is not only applicable to greenfield projects for the co-design of WDSs but can also be utilized to improve the operations of existing WDSs in brownfield projects. The effectiveness and applicability of the co-design method are validated through three illustrative examples and a real-world case study in South Australia.
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