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Non-convex AC optimal power flow (AC-OPF) is a fundamental optimization problem in power system analysis. The computational complexity of conventional solvers is typically high and not suitable for large-scale networks in real-time…

Systems and Control · Electrical Eng. & Systems 2022-12-09 Kejun Chen , Shourya Bose , Yu Zhang

In this paper, we develop semidefinite programming (SDP) models aimed at solving optimal power flow (OPF) problems in distribution systems. We propose two models: the symmetrical SDP model which modifies the existing BFM-SDP model. Then…

Optimization and Control · Mathematics 2017-12-27 Zeyu Wang , Daniel S. Kirschen , Baosen Zhang

Power flow analysis plays a fundamental and critical role in the energy management system (EMS). It is required to well accommodate large and complex power system. To achieve a high performance and accurate power flow analysis, a graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-20 Chen Yuan , Yi Lu , Wei Feng , Guangyi Liu , Renchang Dai , Yachen Tang , Zhiwei Wang

Optimal Power Flow (OPF) is a core optimization problem in power system operation and planning, aiming to minimize generation costs while satisfying physical constraints such as power flow equations, generator limits, and voltage limits.…

Machine Learning · Computer Science 2025-12-02 Xuezhi Liu

The alternating current (AC) chance-constrained optimal power flow (CC-OPF) problem addresses the economic efficiency of electricity generation and delivery under generation uncertainty. The latter is intrinsic to modern power grids because…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Mile Mitrovic , Aleksandr Lukashevich , Petr Vorobev , Vladimir Terzija , Yury Maximov , Deepjyoti Deka

Power system operators are increasingly looking toward distributed optimization to address various challenges facing electric power systems. To assess their capabilities in environments with nonideal communications, this paper investigates…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Mohannad Alkhraijah , Carlos Menendez , Daniel K. Molzahn

Distributed optimization has found widespread applications in smart grids, optimal control, and machine learning. This paper studies distributed consensus optimization. We extend the Augmented Lagrangian-based Alternating Direction Inexact…

Optimization and Control · Mathematics 2026-05-21 Xu Du , Jingzhe Wang , Karl H. Johansson , Apostolos I. Rikos

Optimal power flow problems (OPFs) are mathematical programs used to determine how to distribute power over networks subject to network operation constraints and the physics of power flows. In this work, we take the view of treating an OPF…

Optimization and Control · Mathematics 2020-03-06 Fengyu Zhou , James Anderson , Steven H. Low

Power grid operators typically solve large-scale, nonconvex optimal power flow (OPF) problems throughout the day to determine optimal setpoints for generators while adhering to physical constraints. Despite being at the heart of many OPF…

Optimization and Control · Mathematics 2020-11-03 Kyri Baker

With the proliferation of distributed generation into distribution networks, the need to consider fault currents in the dispatch problem becomes increasingly relevant. This paper introduces a method for adding fault current constraints into…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Jose E. Tabarez , Arthur K. Barnes , Adam Mate , Russell W. Bent

In this paper, we propose a graph neural network architecture to solve the AC power flow problem under realistic constraints. To ensure a safe and resilient operation of distribution grids, AC power flow calculations are the means of choice…

Machine Learning · Computer Science 2023-08-31 Luis Böttcher , Hinrikus Wolf , Bastian Jung , Philipp Lutat , Marc Trageser , Oliver Pohl , Andreas Ulbig , Martin Grohe

The convergence performance of distributed optimization algorithms is of significant importance to solve optimal power flow (OPF) in a distributed fashion. In this paper, we aim to provide some insights on how to partition a power system to…

Signal Processing · Electrical Eng. & Systems 2019-02-13 Ali Mohammadi , Mahdi Mehrtash , Amin Kargarian , Masoud Barati

The traditional machine learning models to solve optimal power flow (OPF) are mostly trained for a given power network and lack generalizability to today's power networks with varying topologies and growing plug-and-play distributed energy…

Machine Learning · Computer Science 2023-09-25 Heng Liang , Changhong Zhao

The effective management of stochastic characteristics of renewable power generations is vital for ensuring the stable and secure operation of power systems. This paper addresses the task of optimizing the chance-constrained…

Systems and Control · Electrical Eng. & Systems 2024-01-05 Yuanxi Wu , Zhi Wu , Yijun Xu , Huan Long , Wei Gu , Shu Zheng , Jingtao Zhao

A full power flow (PF) model is a complete representation of the physical power network. Traditional model-based methods rely on the full PF model to implement power flow analysis. In practice, however, some PF model parameters can be…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Yuting Hu , Jinjun Xiong

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

Optimization and Control · Mathematics 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

The growing penetration of distributed energy resources (DERs) is leading to continually changing operating conditions, which need to be managed efficiently by distribution grid operators. The intermittent nature of DERs such as solar…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Kshitij Girigoudar , Ashley M. Hou , Line A. Roald

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

This paper proposes a fully distributed reactive power optimization algorithm that can obtain the global optimum of non-convex problems for distribution networks without a central coordinator. Second-order cone (SOC) relaxation is used to…

Optimization and Control · Mathematics 2014-09-12 Weiye Zheng , Wenchuan Wu , Boming Zhang , Hongbin Sun , Liu Yibing

This study further explores reformulating power flow (PF) analysis as a discrete combinatorial optimization problem, proposed in our earlier study using the Adiabatic Quantum Power Flow (AQPF) algorithm, which can be executed on Ising…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Zeynab Kaseb , Matthias Moller , Pedro P. Vergara , Peter Palensky