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This paper formalizes an optimal water-power flow (OWPF) problem to optimize the use of controllable assets across power and water systems while accounting for the couplings between the two infrastructures. Tanks and pumps are optimally…

Optimization and Control · Mathematics 2017-11-09 Ahmed S. Zamzam , Emiliano Dall'Anese , Changhong Zhao , Josh A. Taylor , Nicholas D. Sidiropoulos

Optical neural networks (ONNs) have demonstrated record-breaking potential in high-performance neuromorphic computing due to their ultra-high execution speed and low energy consumption. However, current learning protocols fail to provide…

Emerging Technologies · Computer Science 2021-09-07 Jiaqi Gu , Chenghao Feng , Zheng Zhao , Zhoufeng Ying , Ray T. Chen , David Z. Pan

The security-constrained optimal power flow (SCOPF) is fundamental in power systems and connects the automatic primary response (APR) of synchronized generators with the short-term schedule. Every day, the SCOPF problem is repeatedly solved…

Optimization and Control · Mathematics 2020-07-15 Alexandre Velloso , Pascal Van Hentenryck

Optimal power flow (OPF) problem is a class of large-scale and non-convex optimization problem. Various algorithms are proposed to solve the challenging OPF problem. Recent studies show that semidefinite programming (SDP) can either provide…

Optimization and Control · Mathematics 2018-02-09 Chin-Yao Chang , Wei Zhang

This paper focuses on the AC Optimal Power Flow (OPF) problem for multi-phase systems. Particular emphasis is given to systems with high integration of renewables, where adjustments of the real and reactive output powers from renewable…

Optimization and Control · Mathematics 2016-12-22 Ahmed S. Zamzam , Nicholas D. Sidiropoulos , Emiliano Dall'Anese

The optimal power flow (OPF) is an optimization model dedicated to the development of computational tools used for the planning and operation of electric power systems (EPS). In this work, based on the polar formulation, an extended convex…

Optimization and Control · Mathematics 2018-10-30 Mauro Viegas da Silva , Mahdi Pourakbari-Kasmaei , J. Roberto Sanches Mantovani

To ensure frequency security in power systems, both the rate of change of frequency (RoCoF) and the frequency nadir (FN) must be explicitly accounted for in real-time frequency-constrained optimal power flow (FCOPF). However, accurately…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Fan Jiang , Xingpeng Li , Pascal Van Hentenryck

Machine learning (ML) algorithms are remarkably good at approximating complex non-linear relationships. Most ML training processes, however, are designed to deliver ML tools with good average performance, but do not offer any guarantees…

Machine Learning · Computer Science 2022-12-22 Rahul Nellikkath , Spyros Chatzivasileiadis

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

Optimization and Control · Mathematics 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

High-level penetration of intermittent renewable energy sources (RESs) has introduced significant uncertainties into modern power systems. In order to rapidly and economically respond to the fluctuations of power system operating state,…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Pengfei Wu , Chen Chen , Dexiang Lai , Jian Zhong

Optimal Power Flow (OPF) can be modeled as a non-convex Quadratically Constrained Quadratic Program (QCQP). Our purpose is to solve OPF to global optimality. To this end, we specialize the Mixed-Integer Quadratic Convex Reformulation method…

Optimization and Control · Mathematics 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz

With the rise of renewable energy sources and their high variability in generation, the management of power grids becomes increasingly complex and computationally demanding. Conventional AC-power-flow simulations, which use the…

Artificial Intelligence · Computer Science 2026-03-31 Muhammed Öz , Jasmin Hörter , Kaleb Phipps , Charlotte Debus , Achim Streit , Markus Götz

A Transient Stability-Constrained Optimal Power Flow (TSC-OPF) problem is proposed that enforces frequency stability constraints using Neural Network (NN) surrogate models. NNs are trained using a novel model-driven active sampling…

Optimization and Control · Mathematics 2025-02-05 Manuel Garcia , Nicole LoGiudice , Robert Parker , Russell Bent

Optimal power flow (OPF) is an important problem in the operation of electric power systems. Due to the OPF problem's non-convexity, there may exist multiple local optima. Certifiably obtaining the global solution is important for certain…

Optimization and Control · Mathematics 2019-06-17 Alireza Barzegar , Daniel K. Molzahn , Rong Su

This paper explores the integration of renewable energy sources into power systems, highlighting the resulting complexities such as variability and intermittency that challenge traditional power flow dynamics. We delve into innovative…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Zigang Chen

In this work we design and compare different supervised learning algorithms to compute the cost of Alternating Current Optimal Power Flow (ACOPF). The motivation for quick calculation of OPF cost outcomes stems from the growing need of…

Machine Learning · Computer Science 2016-12-21 Raphael Canyasse , Gal Dalal , Shie Mannor

Managing uncertainty and variability in power injections has become a major concern for power system operators due to the increasing levels of fluctuating renewable energy connected to the grid. This work addresses this uncertainty via a…

Optimization and Control · Mathematics 2020-05-05 Alejandra Pena-Ordieres , Daniel Molzahn , Line Roald , Andreas Waechter

One of the most common control decisions faced by power system operators is the question of how to dispatch generation to meet demand for power. This is a complex optimization problem that includes many nonlinear, non convex constraints as…

Optimization and Control · Mathematics 2013-06-14 Russell Bent , Daniel Bienstock , Michael Chertkov

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability advantages of DC-OPF problems come at the expense…

Optimization and Control · Mathematics 2025-12-23 Babak Taheri , Daniel K. Molzahn

Machine learning algorithms, especially Neural Networks (NNs), are a valuable tool used to approximate non-linear relationships, like the AC-Optimal Power Flow (AC-OPF), with considerable accuracy -- and achieving a speedup of several…

Machine Learning · Computer Science 2023-03-24 Rahul Nellikkath , Spyros Chatzivasileiadis