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arXiv · 2308.10466

Stochastic Co-design of Storage and Control for Water Distribution Systems

Ye Wang·Erik Weyer·Chris Manzie·Angus R. Simpson·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 paper, 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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Ye Wang, Erik Weyer, Chris Manzie, Angus R. Simpson, Lisa Blinco. 2023-08-21. Stochastic Co-design of Storage and Control for Water Distribution Systems. https://arxiv.org/abs/2308.10466

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