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Increasing concerns on the security and quality of water distribution systems (WDS), call for computational tools with performance guarantees. To this end, this work revisits the physical laws governing water flow and provides a hierarchy…

Optimization and Control · Mathematics 2020-10-21 Manish K. Singh , Vassilis Kekatos

Optimal, network-driven control of Water Distribution Networks (WDN) is very difficult: valve and pump models form non-trivial, combinatorial logic; hydraulic models are nonconvex; water demand patterns are uncertain; and WDN are naturally…

Systems and Control · Electrical Eng. & Systems 2020-01-01 Shen Wang , Ahmad F. Taha , Nikolaos Gatsis , Marcio Giacomoni

We present a computationally efficient framework, called $\texttt{FlowDRO}$, for solving flow-based distributionally robust optimization (DRO) problems with Wasserstein uncertainty sets while aiming to find continuous worst-case…

Machine Learning · Computer Science 2024-02-27 Chen Xu , Jonghyeok Lee , Xiuyuan Cheng , Yao Xie

This paper presents a novel approach to addressing the distributionally robust nonlinear model predictive control (DRNMPC) problem. Current literature primarily focuses on the static Wasserstein distributionally robust optimal control…

Optimization and Control · Mathematics 2023-04-18 Zhengang Zhong , Jia-Jie Zhu

In this paper, we propose a risk-based data-driven approach to optimal power flow (DROPF) with dynamic line rating. The risk terms, including penalties for load shedding, wind generation curtailment and line overload, are embedded into the…

Optimization and Control · Mathematics 2017-12-22 Cheng Wang , Rui Gao , Feng Qiu , Jianhui Wang , Linwei Xin

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

Optimization and Control · Mathematics 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

This paper considers distribution networks featuring inverter-interfaced distributed energy resources, and develops distributed feedback controllers that continuously drive the inverter output powers to solutions of AC optimal power flow…

Optimization and Control · Mathematics 2016-06-22 Emiliano Dall'Anese , Andrea Simonetto

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

Optimization and Control · Mathematics 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

Optimal power flow (OPF) is considered for microgrids, with the objective of minimizing either the power distribution losses, or, the cost of power drawn from the substation and supplied by distributed generation (DG) units, while effecting…

Optimization and Control · Mathematics 2016-11-17 Emiliano Dall'Anese , Hao Zhu , Georgios B. Giannakis

Addressing challenges in urban water infrastructure systems including aging infrastructure, supply uncertainty, extreme events, and security threats, depend highly on water distribution networks modeling emphasizing the importance of…

Optimization and Control · Mathematics 2020-05-20 Shen Wang , Ahmad F. Taha , Lina Sela , Marcio Giacomoni , Nikolaos Gatsis

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

Optimization and Control · Mathematics 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

The gravity fed water distribution network design (WDND) optimization problem consists in determining the pipe diameters of a water network such that hydraulic constraints are satisfied and the total cost is minimized. Traditionally, such…

Artificial Intelligence · Computer Science 2021-12-28 Willian C. S. Martinho , Rafael A. Melo , Kenneth Sörensen

How much data is needed to optimally schedule distributed energy resources (DERs)? Does the distribution system operator (DSO) have to know load demands at each bus of the feeder to solve an optimal power flow (OPF)? This work exploits…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Vassilis Kekatos , Ridley Annin , Manish K. Singh , Junjie Qin

We consider stochastic programs where the distribution of the uncertain parameters is only observable through a finite training dataset. Using the Wasserstein metric, we construct a ball in the space of (multivariate and non-discrete)…

Optimization and Control · Mathematics 2017-06-14 Peyman Mohajerin Esfahani , Daniel Kuhn

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

Machine Learning · Computer Science 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

Optimal Power Flow (OPF) is a fundamental problem in power systems. It is computationally challenging and a recent line of research has proposed the use of Deep Neural Networks (DNNs) to find OPF approximations at vastly reduced runtimes…

Machine Learning · Computer Science 2021-11-23 My H. Dinh , Ferdinando Fioretto , Mostafa Mohammadian , Kyri Baker

Control of water distribution networks (WDNs) can be represented by an optimization problem with hydraulic models describing the nonlinear relationship between head loss, water flow, and demand. The problem is difficult to solve due to the…

Optimization and Control · Mathematics 2019-02-19 Shen Wang , Ahmad F. Taha , Nikolaos Gatsis , Marcio Giacomoni

We study data-driven decision problems where historical observations are generated by a time-evolving distribution whose consecutive shifts are bounded in Wasserstein distance. We address this nonstationarity using a distributionally robust…

Optimization and Control · Mathematics 2025-12-25 Dominic S. T. Keehan , Edward J. Anderson , Wolfram Wiesemann

The increasing penetration of distributed energy resources (DERs) adds variability as well as fast control capabilities to power networks. Dispatching the DERs based on local information to provide real-time optimal network operation is the…

Optimization and Control · Mathematics 2025-02-24 Heng Liang , Yujin Huang , Changhong Zhao

This paper considers the problem of controlling inverter-interfaced distributed energy resources (DERs) in a distribution grid to solve an AC optimal power flow (OPF) problem in real time. The AC OPF includes voltage constraints, and seeks…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Antonin Colot , Yiting Chen , Bertrand Cornelusse , Jorge Cortes , Emiliano Dall'Anese