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Micro Water-Energy Nexus: Optimal Demand-Side Management and Quasi-Convex Hull Relaxation

2018/05/19 by Qifeng Li, Suhyoun Yu, Li, Qifeng +5 · 1 citation
Engineering · Environmental Science · #FOS: Mathematics #Microgrid Control and Optimization #Optimization and Control (math.OC) #Smart Grid Energy Management #Water-Energy-Food Nexus Studies

paper · pdf · doi:10.48550/arxiv.1805.07626

openalex publication_date 2018/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper investigates the water network's potential ability to provide demand response services to the power grid under the framework of a distribution-level water-energy nexus (micro-WEN). In particular, the hidden controllability of water loads, such as irrigation systems, was closely studied to improve the flexibility of electrical grids. A optimization model is developed for the demand-side management (DSM) of micro-WEN, and the simulation results assert that grid flexibility indeed benefits from controllable water loads. Although the proposed optimal DSM model is an intractable mixed-integer nonlinear programming (MINLP) problem, quasi-convex hull techniques were developed to relax the MINLP into a mixed-integer convex programming (MICP) problem. The numerical study shows that the quasi-convex hull relaxation is tight and that the resulting MICP problem is computationally efficient.

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