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The optimal power flow (OPF) problem can be rapidly and reliably solved by employing responsive online solvers based on neural networks. The dynamic nature of renewable energy generation and the variability of power grid conditions…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Kejun Chen , Shourya Bose , Yu Zhang

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 power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

Optimization and Control · Mathematics 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

Physics informed neural networks (PINNs) have recently been proposed as surrogate models for solving process optimization problems. However, in an active learning setting collecting enough data for reliably training PINNs poses a challenge.…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Liqiu Dong , Marta Zagorowska , Tong Liu , Alex Durkin , Mehmet Mercangöz

The AC optimal power flow (AC-OPF) problem is essential for power system operations, but its non-convex nature makes it challenging to solve. A widely used simplification is the linearized DC optimal power flow (DC-OPF) problem, which can…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Salvador Pineda , Juan Pérez-Ruiz , Juan Miguel Morales

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 optimal power flow (OPF) problem is an important mathematical program that aims at obtaining the best operating point of an electric power grid. The optimization problem typically minimizes the total generation cost subject to certain…

Optimization and Control · Mathematics 2023-05-02 Shourya Bose , Kejun Chen , Yu Zhang

With the increasing penetration of renewable energy, traditional physics-based power system operation faces growing challenges in achieving economic efficiency, stability, and robustness. Machine learning (ML) has emerged as a powerful tool…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Wangkun Xu , Zhongda Chu , Fei Teng

We develop novel integrated learning and optimization (ILO) methodologies to solve economic dispatch (ED) and DC optimal power flow (DCOPF) problems for better economic operation. The optimization problem for ED is formulated with load…

Systems and Control · Electrical Eng. & Systems 2025-07-25 Imran Pervez , Ricardo Pinto Lima , Omar Knio

Optimal power flow (OPF) is a central problem in the operation of electric power systems. An OPF problem optimizes a specified objective function subject to constraints imposed by both the non-linear power flow equations and engineering…

Optimization and Control · Mathematics 2018-04-13 Mohammad Rasoul Narimani , Daniel K. Molzahn Dan Wu , Mariesa L. Crow

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

In this paper, we develop an online method that leverages machine learning to obtain feasible solutions to the AC optimal power flow (OPF) problem with negligible optimality gaps on extremely fast timescales (e.g., milliseconds), bypassing…

Machine Learning · Computer Science 2019-10-04 Ahmed Zamzam , Kyri Baker

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

Learning to solve the Alternating Current Optimal Power Flow (AC-OPF) problem by neural networks (NNs) is a promising approach in real-time applications. Existing methods to ensure the physical feasibility of NN outputs embed a power flow…

Computational Engineering, Finance, and Science · Computer Science 2026-05-12 Jiebao Zhang , Haoyu Yan , Zhichao Sheng , Hongwen Yu , Shuang Ye , Haoyu Wang , Ye Shi

New generations of power systems, containing high shares of renewable energy resources, require improved data-driven tools which can swiftly adapt to changes in system operation. Many of these tools, such as ones using machine learning,…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Ignasi Ventura Nadal , Samuel Chevalier

The optimal power flow problem plays an important role in the market clearing and operation of electric power systems. However, with increasing uncertainty from renewable energy operation, the optimal operating point of the system changes…

Optimization and Control · Mathematics 2018-01-25 Yeesian Ng , Sidhant Misra , Line A. Roald , Scott Backhaus

The Optimal power flow (OPF) problem contains many constraints. However, equality constraints along with a limited set of active inequality constraints encompass sufficient information to determine the feasible space of the problem. In this…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Fouad Hasan , Amin Kargarian , Javad Mohammadi

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

Recent developments in applying machine learning to address Alternating Current Optimal Power Flow (AC OPF) problems have demonstrated significant potential in providing close to optimal solutions for generator dispatch in near real-time.…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Vincenzo Di Vito , Mostafa Mohammadian , Kyri Baker , Ferdinando Fioretto

Optimal Power Flow (OPF) is a valuable tool for power system operators, but it is a difficult problem to solve for large systems. Machine Learning (ML) algorithms, especially Neural Networks-based (NN) optimization proxies, have emerged as…

Artificial Intelligence · Computer Science 2024-05-13 Rahul Nellikkath , Mathieu Tanneau , Pascal Van Hentenryck , Spyros Chatzivasileiadis