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This paper provides an overview of the historical progression of distributed optimization techniques, tracing their development from early duality-based methods pioneered by Dantzig, Wolfe, and Benders in the 1960s to the emergence of the…

Optimization and Control · Mathematics 2023-08-11 Aadharsh Aadhithya A , Abinesh S , Akshaya J , Jayanth M , Vishnu Radhakrishnan , Sowmya V , Soman K. P

Distributed optimization has attracted lots of attention in the operation of power systems in recent years, where a large area is decomposed into smaller control regions each solving a local optimization problem with periodic information…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Junyao Guo , Gabriela Hug , Ozan Tonguz

The optimal power flow (OPF) problem is fundamental in power system operations and planning. Large-scale renewable penetration in distribution networks calls for real-time feedback control, and hence the need for fast and distributed…

Optimization and Control · Mathematics 2016-05-19 Qiuyu Peng , Steven H. Low

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

This paper investigates algorithms for solving distributed consensus optimization problems that are non-convex. Since Typical ALADIN (Typical Augmented Lagrangian based Alternating Direction Inexact Newton Method, T-ALADIN for short) [1] is…

Optimization and Control · Mathematics 2023-06-12 Xu Du , Jingzhe Wang

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

Optimization and Control · Mathematics 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

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

Distributed optimization methods have been extensively applied for the optimization of electric power distribution systems, especially for grid-edge coordination. Existing distributed optimization algorithms applied to power distribution…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Rabayet Sadnan , Nathan Gray , Anjan Bose , Anamika Dubey

This paper introduces an open-source software for distributed and decentralized non-convex optimization named ALADIN-$\alpha$. ALADIN-$\alpha$ is a MATLAB implementation of tailored variants of the Augmented Lagrangian Alternating Direction…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Alexander Engelmann , Yuning Jiang , Henrieke Benner , Ruchuan Ou , Boris Houska , Timm Faulwasser

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

We propose a novel data-driven method to accelerate the convergence of Alternating Direction Method of Multipliers (ADMM) for solving distributed DC optimal power flow (DC-OPF) where lines are shared between independent network partitions.…

Optimization and Control · Mathematics 2020-09-16 David Biagioni , Peter Graf , Xiangyu Zhang , Ahmed Zamzam , Kyri Baker , Jennifer King

Distributed optimization for solving non-convex Optimal Power Flow (OPF) problems in power systems has attracted tremendous attention in the last decade. Most studies are based on the geographical decomposition of IEEE test systems for…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-01 Junyao Guo , Gabriela Hug , Ozan Tonguz

Distributed algorithms enable private Optimal Power Flow (OPF) computations by avoiding the need in sharing sensitive information localized in algorithms sub-problems. However, adversaries can still infer this information from the…

Optimization and Control · Mathematics 2020-03-23 Vladimir Dvorkin , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

Solving the non-convex optimal power flow (OPF) problem for large-scale power distribution systems is computationally expensive. An alternative is to solve the relaxed convex problem or linear approximated problem, but these methods lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-09 Rabayet Sadnan , Anamika Dubey

The trend in the electric power system is to move towards increased amounts of distributed resources which suggests a transition from the current highly centralized to a more distributed control structure. In this paper, we propose a method…

Optimization and Control · Mathematics 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug

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 paper investigates the role of feasible initial guesses and large consensus-violation penalization in distributed optimization for Optimal Power Flow (OPF) problems. Specifically, we discuss the behavior of the Alternating Direction of…

Systems and Control · Computer Science 2019-04-02 Alexander Engelmann , Timm Faulwasser

TThe paper proposes the Consensus Augmented Lagrange Alternating Direction Inexact Newton (Consensus ALADIN) algorithm, a novel approach for solving distributed consensus optimization problems (DC). Consensus ALADIN allows each agent to…

Systems and Control · Electrical Eng. & Systems 2025-03-24 Xu Du , Jingzhe Wang

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

AC/multi-terminal DC (MTDC) hybrid power systems have emerged as a solution for the large-scale and longdistance accommodation of power produced by renewable energy systems (RESs). To ensure the optimal operation of such hybrid power…

Optimization and Control · Mathematics 2024-09-26 Haixiao Li , Aleksandra Lekić