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Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

Optimization and Control · Mathematics 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

The proliferation of phasor measurement units (PMUs) into electric power distribution grids presents new opportunities for utility operators to manage distribution systems more effectively. One potential application of PMU measurements is…

Optimization and Control · Mathematics 2019-06-27 Michael D. Sankur , Roel Dobbe , Alexandra von Meier , Emma M. Stewart , Daniel B. Arnold

Reducing the fuel consumption within a power network is crucial to enhance the overall system efficiency and minimize operating costs. Fuel consumption minimization can be achieved through different optimization techniques where the output…

Optimization and Control · Mathematics 2023-10-30 Md Isfakul Anam , Tuyen Vu

In many power system optimization problems, we observe that only a small fraction of the line flow constraints ever become active at the optimal solution, despite variations in the load profile and generation costs. This observation has…

Optimization and Control · Mathematics 2019-04-04 Line Roald , Daniel K. Molzahn

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 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

Distributed energy systems (DES) have the potential to minimise costly network upgrades while increasing the proportion of renewable energy generation in the electrical grid, when properly designed. In contrast, poorly designed DES can…

Optimization and Control · Mathematics 2022-03-09 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

This paper proposes an input convex neural network (ICNN)-Assisted optimal power flow (OPF) in distribution networks. Instead of relying purely on optimization or machine learning, the ICNN-Assisted OPF is a combination of optimization and…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Rui Cheng , Yuze Yang , Wenxia Liu , Nian Liu , Zhaoyu Wang

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 recent years, there has been significant interest in the development of machine learning-based optimization proxies for AC Optimal Power Flow (AC-OPF). Although significant progress has been achieved in predicting high-quality primal…

Machine Learning · Computer Science 2024-03-27 Guancheng Qiu , Mathieu Tanneau , Pascal Van Hentenryck

Optimal power flow (OPF) problem is a class of large-scale and non-convex optimization problem. Various algorithms are proposed to solve the challenging OPF problem. Recent studies show that semidefinite programming (SDP) can either provide…

Optimization and Control · Mathematics 2018-02-09 Chin-Yao Chang , Wei Zhang

This paper presents a quantum-enhanced optimization approach for solving optimal power flow (OPF) by integrating the interior point method (IPM) with a coherent variational quantum linear solver (CVQLS). The objective is to explore the…

Quantum Physics · Physics 2025-08-29 Farshad Amani , Amin Kargarian

This paper proposes a two-level distributed algorithmic framework for solving the AC optimal power flow (OPF) problem with convergence guarantees. The presence of highly nonconvex constraints in OPF poses significant challenges to…

Optimization and Control · Mathematics 2021-06-14 Kaizhao Sun , Xu Andy Sun

The AC Optimal Power Flow (AC-OPF) problem is a core building block in electrical transmission system. It seeks the most economical active and reactive generation dispatch to meet demands while satisfying transmission operational limits. It…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Terrence W. K. Mak , Ferdinando Fioretto , Pascal VanHentenryck

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

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

The constraints induced by prohibited zones (PZs) were traditionally formulated as multiple disjoint regions. It was difficult to solve the optimal power flow (OPF) problems subject to the disjoint constraints. This paper proposes a new…

Signal Processing · Electrical Eng. & Systems 2019-01-09 Xian Liu , Hamzeh Davarikia

We propose a hierarchical distributed algorithm to solve optimal power flow (OPF) problems that aim at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features…

Optimization and Control · Mathematics 2020-02-10 Xinyang Zhou , Zhiyuan Liu , Changhong Zhao , Lijun Chen

To limit the probability of unacceptable worst-case linearization errors that might yield risks for power system operations, this letter proposes a robust data-driven linear power flow (RD-LPF) model. It is applicable to both transmission…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Yitong Liu , Zhengshuo Li , Junbo Zhao

This paper introduces a new method for solving the distributed AC power flow (PF) problem by further exploiting the problem formulation. We propose a new variant of the ALADIN algorithm devised specifically for this type of problem. This…

Systems and Control · Electrical Eng. & Systems 2024-07-03 Xinliang Dai , Yichen Cai , Yuning Jiang , Veit Hagenmeyer