EUROPT 2025
Abstract Submission

551. A Stochastic Optimization Model for the Water Pump Scheduling Problem with Demand Response in Large and High Altitude Water Supply Systems

Invited abstract in session TC-12: Optimization for sustainable energy systems, stream Applications: AI, uncertainty management and sustainability.

Tuesday, 14:00-16:00
Room: B100/8009

Authors (first author is the speaker)

1. Miguel Anjos
School of Mathematics, University of Edinburgh

Abstract

The water pump scheduling problem is to determine which water pumps will be turned on or off at each time period over a given time horizon for a given water supply system. Water networks, as energy-intensive infrastructures, are promising candidates to offer the power system a reduction in their energy consumption during certain hours of the day, a service known as demand response. The reduction is typically at times with a positive difference between the electricity spot price and the contracted energy price. However, both the spot price and the water demand are uncertain. We propose a new two-step stochastic optimization model for demand response in large and high-altitude water supply systems. We use a binary expansion approach to efficiently model the nonlinearities by reducing the computational difficulties while maintaining a good representation of the physical phenomena involved. The first stage uses a robust water profile optimization model, and the second stage achieves the power profile with a demand response to obtain the optimum water pump and demand response bidding schedule. We tested this approach using a case study from a mining company's water supply system. Our findings concluded that different seasons and energy policies, such as the minimum power requirement and availability bonus, can significantly impact the water supply system's total costs and the amount of demand response available to offer on the capacity market.

Keywords

Status: accepted

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