Integrated Optimal Operation of Water and Power Distribution Systems under Uncertainty: An Adjustable Robust Optimization Approach

This paper presents a new approach to the integrated optimal operation of water distribution systems (WDS) and power distribution systems (PDS) under uncertain conditions. Recognizing the intricate interdependencies between these systems, the paper proposes an optimization model grounded in adjustable robust optimization (ARO). The model concurrently addresses optimal power dispatch and pump scheduling under various uncertainties, including fluctuating power loads and water demands, and renewable power availability. The ARO framework stands out for its real-time adaptability to uncertainty realizations, providing a tractable and effective solution for complex system management. It is validated through a comprehensive case study, demonstrating its applicability and effectiveness. The results provide compelling evidence of the benefits of integrated system operation. While uncertainties in PDS have a pronounced impact on operational cost, the WDS demand uncertainty can be effectively managed through strategic adjustments in pumping schedules. Notably, the cost implications of these adjustments in the face of WDS uncertainties are moderated and only affect the objective minorly.