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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

This paper reconsiders end-to-end learning approaches to the Optimal Power Flow (OPF). Existing methods, which learn the input/output mapping of the OPF, suffer from scalability issues due to the high dimensionality of the output space.…

Machine Learning · Computer Science 2023-05-18 Seonho Park , Wenbo Chen , Terrence W. K. Mak , Pascal Van Hentenryck

Probabilistic optimal power flow (POPF) is an important analytical tool to ensure the secure and economic operation of power systems. POPF needs to solve enormous nonlinear and nonconvex optimization problems. The huge computational burden…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Yan Yang , Juan Yu , Zhifang Yang , Mingxu Xiang , Ren Liu

Learning-based approaches are increasingly leveraged to manage and coordinate the operation of grid-edge resources in active power distribution networks. Among these, model-based techniques stand out for their superior data efficiency and…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Daniel Glover , Parikshit Pareek , Deepjyoti Deka , Anamika Dubey

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

Machine learning assisted optimal power flow (OPF) aims to reduce the computational complexity of these non-linear and non-convex constrained optimization problems by consigning expensive (online) optimization to offline training. The…

Machine Learning · Computer Science 2022-04-28 Thomas Falconer , Letif Mones

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

Managing power grids with the increasing presence of variable renewable energy-based (distributed) generation involves solving high-dimensional optimization tasks at short intervals. Linearizing the AC power flow (PF) constraints is a…

Optimization and Control · Mathematics 2025-09-09 Yuhao Chen , Manish K. Singh

Daily streamflow forecasting through data-driven approaches is traditionally performed using a single machine learning algorithm. Existing applications are mostly restricted to examination of few case studies, not allowing accurate…

Machine Learning · Statistics 2021-03-24 Hristos Tyralis , Georgia Papacharalampous , Andreas Langousis

Using deep neural networks to predict the solutions of AC optimal power flow (ACOPF) problems has been an active direction of research. However, because the ACOPF is nonconvex, it is difficult to construct a good data set that contains…

Systems and Control · Electrical Eng. & Systems 2021-10-06 Ling Zhang , Baosen Zhang

Power systems solvers are vital tools in planning, operating, and optimizing electrical distribution networks. The current generation of solvers employ computationally expensive iterative methods to compute sequential solutions. To…

Systems and Control · Electrical Eng. & Systems 2020-01-07 Siobhan Powell , Alyona Ivanova , David Chassin

This paper investigates energy guidance in generative modeling, where the target distribution is defined as $q(\mathbf x) \propto p(\mathbf x)\exp(-\beta \mathcal E(\mathbf x))$, with $p(\mathbf x)$ being the data distribution and $\mathcal…

Machine Learning · Computer Science 2025-03-10 Shiyuan Zhang , Weitong Zhang , Quanquan Gu

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

The increasing decentralization of power systems driven by a large number of renewable energy sources poses challenges in power flow optimization. Partially unknown power line properties can render model-based approaches unsuitable. With…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Sebastian Otzen , Hannes M. H. Wolf , Christian A. Hans

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

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

Machine Learning (ML) techniques for Optimal Power Flow (OPF) problems have recently garnered significant attention, reflecting a broader trend of leveraging ML to approximate and/or accelerate the resolution of complex optimization…

Machine Learning · Computer Science 2025-05-30 Michael Klamkin , Mathieu Tanneau , Pascal Van Hentenryck

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

Aggregated load models, such as PQ and ZIP, are used to represent the approximated load demand at specific buses in grid simulation and optimization problems. In this paper we examine the impact of model choice on the optimal power flow…

Signal Processing · Electrical Eng. & Systems 2019-04-11 Marko Jereminov , Bryan Hooi , Amritanshu Pandey , Hyun-Ah Song , Christos Faloutsos , Larry Pileggi

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