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Linear approximations of the AC power flow equations are of great significance for the computational efficiency of large-scale optimal power flow (OPF) problems. Put differently, the feasibility of the obtained solution is essential for…

Systems and Control · Electrical Eng. & Systems 2023-06-12 Meiyi Li , Yuhan Du , Javad Mohammadi , Constance Crozier , Kyri Baker , Soummya Kar

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 optimal power flow (OPF) problem minimizes power system operating cost subject to both engineering and network constraints. With the potential to find global solutions, significant research interest has focused on convex relaxations of…

Optimization and Control · Mathematics 2014-02-03 Daniel K. Molzahn , Ian A. Hiskens

The distribution optimal power flow (D-OPF) models have gained attention in recent years to optimally operate acentrally-managed distribution grid. On account of nonconvex formulation that is difficult to solve, several relaxation methods…

Optimization and Control · Mathematics 2019-12-10 Rahul Ranjan Jha , Anamika Dubey

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

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

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

Machine Learning · Computer Science 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

Optimal power flow (OPF) is a very fundamental but vital optimization problem in the power system, which aims at solving a specific objective function (ex.: generator costs) while maintaining the system in the stable and safe operations. In…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Yuhao Zhou , Bei Zhang , Chunlei Xu , Tu Lan , Ruisheng Diao , Di Shi , Zhiwei Wang , Wei-Jen Lee

The optimal power-flow problem (OPF) has played a key role in the planning and operation of power systems. Due to the non-linear nature of the AC power-flow equations, the OPF problem is known to be non-convex, therefore hard to solve. Most…

Systems and Control · Computer Science 2016-07-07 Konstantina Christakou , Dan-Cristian Tomozei , Jean-Yves Le Boudec , Mario Paolone

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

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

The solution to an optimal power flow (OPF) problem provides a minimum cost operating point for an electric power system. The performance of OPF solution techniques strongly depends on the problem's feasible space. This paper presents an…

Optimization and Control · Mathematics 2016-08-03 Daniel K. Molzahn

The optimal power flow (OPF) problem minimizes the operating cost of an electric power system. Applications of convex relaxation techniques to the non-convex OPF problem have been of recent interest, including work using the Lasserre…

Optimization and Control · Mathematics 2016-11-17 Daniel K. Molzahn , Cédric Josz , Ian A. Hiskens , Patrick Panciatici

This paper proposes a component-based dual decomposition of the nonconvex AC optimal power flow (OPF) problem, where the modified dual function is solved in a distributed fashion. The main contribution of this work is that is demonstrates…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-23 Sleiman Mhanna , Gregor Verbic , Archie Chapman

This paper develops a branch-flow based optimal power flow (OPF) problem for multi-phase distribution networks that allows for tap selection of wye, closed-delta, and open-delta step-voltage regulators (SVRs). SVRs are assumed ideal and…

Optimization and Control · Mathematics 2019-01-16 Mohammadhafez Bazrafshan , Nikolaos Gatsis , Hao Zhu

This paper presents a hybrid Sequential Convex Programming (SCP) framework for solving the unbalanced three-phase AC Optimal Power Flow (OPF) problem. The method combines a fixed McCormick outer approximation of bilinear voltage-current…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Sary Yehia , Alessandra Parisio

This paper proposes a convex optimization based distributed algorithm to solve multi-period optimal gas-power flow (OGPF) in coupled energy distribution systems. At the gas distribution system side, the non-convex Weymouth gas flow…

Optimization and Control · Mathematics 2016-10-18 Cheng Wang , Wei Wei , Jianhui Wang , Linquan Bai , Yile Liang

Optimisation and simulation models for the design and operation of grid-connected distributed energy systems (DES) often exclude the inherent nonlinearities related to power flow and generation and storage units, to maintain an…

Optimization and Control · Mathematics 2021-05-05 Ishanki A. De Mel , Oleksiy V. Klymenko , Michael Short

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

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