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Related papers: DeepOPF-V: Solving AC-OPF Problems Efficiently

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The optimal power flow (OPF) problem determines power generation/demand that minimize a certain objective such as generation cost or power loss. It is nonconvex. We prove that, for radial networks, after shrinking its feasible set slightly,…

Optimization and Control · Mathematics 2016-11-18 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low

This paper presents an algorithm for restoring AC power flow feasibility from solutions to simplified optimal power flow (OPF) problems, including convex relaxations, power flow approximations, and machine learning (ML) models. The proposed…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Babak Taheri , Daniel K. Molzahn

Fast and accurate optimization and simulation is widely becoming a necessity for large scale transmission resiliency and planning studies such as N-1 SCOPF, batch contingency solvers, and stochastic power flow. Current commercial tools,…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Aayushya Agarwal , Amritanshu Pandey , Larry Pileggi

The optimal power flow (OPF) is a multi-valued, non-convex mapping from loads to dispatch setpoints. The variability of system parameters (e.g., admittances, topology) further contributes to the multiplicity of dispatch setpoints for a…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Milad Hoseinpour , Vladimir Dvorkin

Security-constrained unit commitment with alternating current optimal power flow (SCUC-ACOPF) is a central problem in power grid operations that optimizes commitment and dispatch of generators under a physically accurate power transmission…

Optimization and Control · Mathematics 2025-05-12 Matthew Brun , Thomas Lee , Dirk Lauinger , Xin Chen , Xu Andy Sun

The Reactive Optimal Power Flow (ROPF) problem consists in computing an optimal power generation dispatch for an alternating current transmission network that respects power flow equations and operational constraints. Some means of action…

Robotics · Computer Science 2021-03-26 Julie Sliwak , Miguel Anjos , Lucas Létocart , Emiliano Traversi

This article develops a strengthened convex quadratic convex (QC) relaxation of the AC Optimal Power Flow (AC-OPF) problem and presents an optimization-based bound-tightening (OBBT) algorithm to compute tight, feasible bounds on the voltage…

Optimization and Control · Mathematics 2019-01-30 Kaarthik Sundar , Harsha Nagarajan , Sidhant Misra , Mowen Lu , Carleton Coffrin , Russell Bent

The optimal power flow (OPF) problem, as a critical component of power system operations, becomes increasingly difficult to solve due to the variability, intermittency, and unpredictability of renewable energy brought to the power system.…

Machine Learning · Computer Science 2024-01-18 Yuxuan Li , Chaoyue Zhao , Chenang Liu

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

Determining contingency aware dispatch decisions by solving a security-constrained optimal power flow (SCOPF) is challenging for real-world power systems, as the high problem dimensionality often leads to impractical computational…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Richard Weinhold , Robert Mieth

Linear approximation commonly used in solving alternating-current optimal power flow (AC-OPF) simplifies the system models but incurs accumulated voltage errors in large power networks. Such errors will make the primal-dual type gradient…

Optimization and Control · Mathematics 2023-06-08 Heng Liang , Xinyang Zhou , Changhong Zhao

This paper proposes a component-based dual decomposition of the nonconvex AC optimal power flow (OPF) problem, where the modified dual function is solved in a distributed fashion. The main contribution of this work is that is demonstrates…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-23 Sleiman Mhanna , Gregor Verbic , Archie Chapman

Ensuring solution feasibility is a key challenge in developing Deep Neural Network (DNN) schemes for solving constrained optimization problems, due to inherent DNN prediction errors. In this paper, we propose a ``preventive learning''…

Machine Learning · Computer Science 2023-05-18 Tianyu Zhao , Xiang Pan , Minghua Chen , Steven H. Low

In order to unifiedly coordinate economy and voltage deviations, a novel multi-objective optimal power flow (MOPF) algorithm is proposed for an AC/DC system with VSC-HVDC based on cooperative multi-objective particle swarm optimization…

Optimization and Control · Mathematics 2019-03-04 Yahui Li , Yang Li , Guoqing Li

In this paper, we develop a distributionally robust chance-constrained formulation of the Optimal Power Flow problem (OPF) whereby the system operator can leverage contextual information. For this purpose, we exploit an ambiguity set based…

Optimization and Control · Mathematics 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

Optimal Transmission Switching (OTS) problems minimize operational costs while treating both the transmission line energization statuses and generator setpoints as decision variables. The combination of nonlinearities from an AC power flow…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Babak Taheri , Daniel K. Molzahn

Despite cascading failures being the central cause of blackouts in power transmission systems, existing operational and planning decisions are made largely by ignoring their underlying cascade potential. This paper posits a…

Optimization and Control · Mathematics 2022-01-26 Anirudh Subramanyam , Jacob Roth , Albert Lam , Mihai Anitescu

The optimal power flow is an optimization problem used in power systems operational planning to maximize economic efficiency while satisfying demand and maintaining safety margins. Due to uncertainty and variability in renewable energy…

Systems and Control · Computer Science 2019-02-18 Deepjyoti Deka , Sidhant Misra

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