English
Related papers

Related papers: Learning to Solve AC Optimal Power Flow by Differe…

200 papers

The uncertainty of multiple power loads and renewable energy generations (PLREG) in power systems increases the complexity of power flow analysis for decision-makers. The chance-constrained method can be applied to model the optimization…

Optimization and Control · Mathematics 2021-11-12 Ren Hu , Qifeng Li

The Optimal Power Flow (OPF) problem is central to the reliable and efficient operation of power systems, yet its non-convex nature poses significant challenges for finding globally optimal solutions. While convex relaxation techniques such…

Optimization and Control · Mathematics 2025-05-27 Mohammadreza Iranpour , Mohammad Rasoul Narimani

Alternating current optimal power flow (AC OPF) is one of the most fundamental optimization problems in electrical power systems. It can be formulated as a semidefinite program (SDP) with rank constraints. Solving AC OPF, that is, obtaining…

Optimization and Control · Mathematics 2018-10-16 Burak Kocuk , Santanu S. Dey , X. Andy Sun

The optimal power flow (OPF) problem seeks to control power generation/demand to optimize certain objectives such as minimizing the generation cost or power loss in the network. It is becoming increasingly important for distribution…

Optimization and Control · Mathematics 2013-07-02 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low

The objective of this paper is to improve the accuracy and robustness of optimal power flow (OPF) formulations for distribution systems modeled down to the low-voltage point of connection of individual buildings. An approach for addressing…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Dakota Hamilton , Loraine Navarro , Dionysios Aliprantis

The Alternating Current Optimal Power Flow (ACOPF) problem is a core task in power system operations, aimed at determining cost-effective generation dispatch while satisfying physical and operational constraints. However, conventional ACOPF…

Optimization and Control · Mathematics 2026-05-15 Vincenzo Di Vito , Kaarthik Sundar , Ferdinando Fioretto , Deepjyoti Deka

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

A two-stage solution approach for solving the problem of multi-objective optimal power flow (MOPF) is proposed for hybrid AC/DC grids with VSC-HVDC. First, a MOPF model for hybrid AC/DC grids is built to coordinate the economy, voltage…

Optimization and Control · Mathematics 2018-08-21 Yang Li , Yahui Li , Guoqing Li , Dongbo Zhao , Chen Chen

The existence of multiple solutions to AC optimal power flow (ACOPF) problems has been noted for decades. Existing solvers are generally successful in finding local solutions, which are stationary points but may not be globally optimal. In…

Systems and Control · Electrical Eng. & Systems 2021-02-25 Ling Zhang , Baosen Zhang

This is a second part of the research on AC optimal power flow being used in the lower level of the bilevel strategic bidding or investment models. As an example of a suitable upper-level problem, we observe a strategic bidding of energy…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Karlo Sepetanc , Hrvoje Pandzic , Tomislav Capuder

Increasing levels of renewable generation motivate a growing interest in data-driven approaches for AC optimal power flow (AC OPF) to manage uncertainty; however, a lack of disciplined dataset creation and benchmarking prohibits useful…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Trager Joswig-Jones , Kyri Baker , Ahmed S. Zamzam

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

The optimal power flow (OPF) problem is one of the most fundamental problems in power system operations. The non-linear alternating current (AC) power flow equations that model different physical laws (together with operational constraints)…

Optimization and Control · Mathematics 2023-12-08 M. H. M. Christianen , S. van Kempen , M. Vlasiou , B. Zwart

This paper proposes a novel approach using Graph Neural Networks (GNNs) to solve the AC Power Flow problem in power grids. AC OPF is essential for minimizing generation costs while meeting the operational constraints of the grid.…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Seyedamirhossein Talebi , Kaixiong Zhou

Many practical planning and operational applications in power systems require simultaneous consideration of a large number of operating conditions or Multi-Scenario AC-Optimal Power Flow (MS-AC-OPF) solution. However, when the number of…

Optimization and Control · Mathematics 2019-05-28 Vladimir Frolov , Line Roald , Michael Chertkov

The existence of multiple solutions to AC optimal power flow (ACOPF) problems has been noted for decades. Existing solvers are generally successful in finding local solutions, which satisfy first and second order optimality conditions, but…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Ling Zhang , Baosen Zhang

Solving optimal power flow (OPF) problems for large distribution networks incurs high computational complexity. We consider a large multi-phase distribution network of tree topology with a deep penetration of active devices. We divide the…

Optimization and Control · Mathematics 2020-09-10 Xinyang Zhou , Yue Chen , Zhiyuan Liu , Changhong Zhao , Lijun Chen

Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes. By introducing the proposed virtual node-splitting strategy,…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Thuan Pham , Xingpeng Li

AC-OPF (Alternative Current Optimal Power Flow)aims at minimizing the operating costs of a power gridunder physical constraints on voltages and power injections.Its mathematical formulation results in a nonconvex polynomial…

Optimization and Control · Mathematics 2023-05-31 Adrien Le Franc , Victor Magron , Jean-Bernard Lasserre , Manuel Ruiz , Patrick Panciatici

Convex relaxation methods have been studied and used extensively to obtain an optimal solution to the optimal power flow (OPF) problem. Meanwhile, convex relaxed power flow equations are also prerequisites for efficiently solving a wide…

Systems and Control · Computer Science 2017-10-24 Zhuang Tian , Wenchuan Wu