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This paper introduces a novel distributed optimization framework for large-scale AC Optimal Power Flow (OPF) problems, offering both theoretical convergence guarantees and rapid convergence in practice. By integrating smoothing techniques…

Optimization and Control · Mathematics 2026-03-04 Xinliang Dai , Yuning Jiang , Yi Guo , Colin N. Jones , Moritz Diehl , Veit Hagenmeyer

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

Increasing concerns on the security and quality of water distribution systems (WDS), call for computational tools with performance guarantees. To this end, this work revisits the physical laws governing water flow and provides a hierarchy…

Optimization and Control · Mathematics 2020-10-21 Manish K. Singh , Vassilis Kekatos

Optimal power flow (OPF) is a fundamental tool for analyzing the characteristics of bipolar DC distribution network (DCDN). However, existing OPF models face challenges in reflecting the power distribution and exchange of bipolar DCDN…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Yiyao Zhou , Qianggang Wang , Yuan Chi , Jianquan Liao , Tao Huang , Niancheng Zhou , Xiaolong Xu , Xuefei Zhang

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

In this paper, we present a new control model for optimizing pressure and water quality operations in water distribution networks. Our formulation imposes a set of time-coupling constraints to manage temporal pressure variations, which are…

Optimization and Control · Mathematics 2024-09-24 Bradley Jenks , Aly-Joy Ulusoy , Filippo Pecci , Ivan Stoianov

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) in distribution systems by solving the so-called optimal power flow (OPF) problem. The OPF problem is concerned…

Systems and Control · Computer Science 2020-05-07 Madi Zholbaryssov , Alejandro D. Dominguez-Garcia

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 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

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 implementation of optimal power flow (OPF) methods to perform voltage and power flow regulation in electric networks is generally believed to require extensive communication. We consider distribution systems with multiple controllable…

Machine Learning · Computer Science 2019-08-15 Roel Dobbe , Oscar Sondermeijer , David Fridovich-Keil , Daniel Arnold , Duncan Callaway , Claire Tomlin

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

We introduce a quadratically-constrained approximation (QCAC) of the AC optimal power flow (AC-OPF) problem. Unlike existing approximations like the DC-OPF, our model does not rely on typical assumptions such as high reactance-to-resistance…

Optimization and Control · Mathematics 2026-01-21 Gonzalo E. Constante-Flores , Can Li

In recent years, several applications have been proposed in the context of distribution networks. Many of these can be formulated as an optimal power flow problem, a mathematical optimization program which includes a model of the…

Optimization and Control · Mathematics 2023-08-23 Sander Claeys , Frederik Geth , Geert Deconinck

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) is an optimization model dedicated to the development of computational tools used for the planning and operation of electric power systems (EPS). In this work, based on the polar formulation, an extended convex…

Optimization and Control · Mathematics 2018-10-30 Mauro Viegas da Silva , Mahdi Pourakbari-Kasmaei , J. Roberto Sanches Mantovani

Chance constrained optimal power flow (OPF) has been recognized as a promising framework to manage the risk from variable renewable energy (VRE). In presence of VRE uncertainties, this paper discusses a distributionally robust chance…

Optimization and Control · Mathematics 2018-05-01 Chao Duan , Wanliang Fang , Lin Jiang , Li Yao , Jun Liu

This paper presents a convex, multi-period, AC-feasible Optimal Power Flow (OPF) framework that robustly dispatches flexible demand-side resources in unbalanced distribution feeders against uncertainty in very-short timescale solar…

Optimization and Control · Mathematics 2020-05-20 Nawaf Nazir , Mads Almassalkhi

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

This paper explores the integration of renewable energy sources into power systems, highlighting the resulting complexities such as variability and intermittency that challenge traditional power flow dynamics. We delve into innovative…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Zigang Chen