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Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

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

In recent years, electricity generation has been responsible for more than a quarter of the greenhouse gas emissions in the US. Integrating a significant amount of renewables into a power grid is probably the most accessible way to reduce…

We study a class of structured convex optimization problems, which have a two-block separable objective and nonlinear functional constraints as well as affine constraints that couple the two block variables. Such problems naturally arise…

Optimization and Control · Mathematics 2026-02-27 Zhengjie Xiong , Yangyang Xu

Recently, we proposed a capacity expansion approach for transmission grids that combines the upgrade of transmission capacity with a transition in system structure to improve grid operation. The key to this concept is a particular hybrid…

Optimization and Control · Mathematics 2018-11-27 Matthias Hotz , Wolfgang Utschick

Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings,…

The nonlinear, non-convex AC Optimal Power Flow (AC-OPF) problem is fundamental for power systems operations. The intrinsic complexity of AC-OPF has fueled a growing interest in the development of optimization proxies for the problem, i.e.,…

Optimization and Control · Mathematics 2025-05-09 Guancheng Qiu , Mathieu Tanneau , Pascal Van Hentenryck

The limitations of centralized optimization methods for power systems operation have led to the distributed computing paradigm, particularly in power distribution systems. The existing techniques reported in recent literature for solving…

Systems and Control · Electrical Eng. & Systems 2020-12-07 Rabayet Sadnan , Anamika Dubey

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

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

In this paper, we investigate the problem of decentralized consensus optimization over directed graphs with limited communication bandwidth. We introduce a novel decentralized optimization algorithm that combines the Reduced Consensus…

Optimization and Control · Mathematics 2025-08-11 Xu Du , Karl H. Johansson , Apostolos I. Rikos

This paper presents a real-time computational framework for multi-node distributed optimization by extending the Augmented Lagrangian Alternating Direction Inexact Newton (ALADIN) algorithm. Our approach integrates adjoint sequential…

Optimization and Control · Mathematics 2026-04-17 Yifei Wang , Xuhui Feng , Shimin Pan , Liangfan Zhu , Xu Du , Apostolos I. Rikos

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low

We propose a hidden convexity-based method to address distributed optimal energy flow (OEF) problems for transmission-level integrated electricity-gas systems. First, we develop a node-wise decoupling method to de-compose an OEF problem…

Optimization and Control · Mathematics 2024-07-09 Rong-Peng Liu , Yue Song , Junhong Liu , Xiaozhe Wang , Jinpeng Guo , Yunhe Hou

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

Many steady-state problems in power systems, including rectangular power-voltage formulations of optimal power flows in the alternating-current model (ACOPF), can be cast as polynomial optimisation problems (POP). For a POP, one can derive…

Optimization and Control · Mathematics 2018-02-20 Alan C. Liddell , Jie Liu , Jakub Marecek , Martin Takac

Unbalance issues in low-voltage distribution networks (LVDN) can be worsened by increasing penetration of residential PV generation if unevenly distributed among three phases. To address this issue, the phase-switching device (PSD) provides…

Optimization and Control · Mathematics 2022-02-15 Bin Liu , Frederik Geth , Nariman Mahdavi , Jiangxia Zhong

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 future power grid may rely on distributed optimization to determine the set-points for huge numbers of distributed energy resources. There has been significant work on applying distributed algorithms to optimal power flow (OPF)…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Rachel Harris , Mohannad Alkhraijah , Daniel K. Molzahn

The Reactive Optimal Power Flow (ROPF) problem consists in computing an optimal power generation dispatch for an alternating current transmission network that respects power flow equations and operational constraints. Some means of action…

Robotics · Computer Science 2021-03-26 Julie Sliwak , Miguel Anjos , Lucas Létocart , Emiliano Traversi
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