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In machine learning, Optimal Transport (OT) theory is extensively utilized to compare probability distributions across various applications, such as graph data represented by node distributions and image data represented by pixel…

Machine Learning · Computer Science 2025-01-30 Jianming Huang , Xun Su , Zhongxi Fang , Hiroyuki Kasai

Alternating current optimal power flow (AC-OPF) is one of the fundamental problems in power systems operation. AC-OPF is traditionally cast as a constrained optimization problem that seeks optimal generation set points whilst fulfilling a…

Machine Learning · Computer Science 2020-12-18 Henning Lange , Bingqing Chen , Mario Berges , Soummya Kar

Motivated by the penetration of converter-based generation into the electrical grid, we revisit the classical log-linear learning algorithm for optimal allocation {of synchronous machines and converters} for mixed power generation. The…

Optimization and Control · Mathematics 2021-04-02 Taouba Jouini , Zhiyong Sun

Optimal transport (OT) theory underlies many emerging machine learning (ML) methods nowadays solving a wide range of tasks such as generative modeling, transfer learning and information retrieval. These latter works, however, usually build…

Machine Learning · Statistics 2021-12-03 Quang Huy Tran , Hicham Janati , Ievgen Redko , Rémi Flamary , Nicolas Courty

This paper addresses the problem of voltage regulation in power distribution networks with deep-penetration of distributed energy resources, e.g., renewable-based generation, and storage-capable loads such as plug-in hybrid electric…

Optimization and Control · Mathematics 2015-02-10 Baosen Zhang , Albert Y. S. Lam , Alejandro Dominguez-Garcia , David Tse

Prompt and effective corrective actions in response to unexpected contingencies are crucial for improving power system resilience and preventing cascading blackouts. The optimal load shedding (OLS) accounting for network limits has the…

Machine Learning · Computer Science 2025-02-12 Yuqi Zhou , Hao Zhu

The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its nonconvex and large-scale nature. This paper proposes a scalable decomposition…

Optimization and Control · Mathematics 2020-06-12 Shenyinying Tu , Andreas Waechter , Ermin Wei

Optimal transport (OT) is attracting increasing attention in machine learning. It aims to transport a source distribution to a target one at minimal cost. In its vanilla form, the source and target distributions are predetermined, which…

Machine Learning · Computer Science 2024-01-23 Liangliang Shi , Zhaoqi Shen , Junchi Yan

Driven by global climate goals, an increasing amount of Renewable Energy Sources (RES) is currently being installed worldwide. Especially in the context of offshore wind integration, hybrid AC/DC grids are considered to be the most…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Giacomo Bastianel , Marta Vanin , Dirk Van Hertem , Hakan Ergun

The traditional machine learning models to solve optimal power flow (OPF) are mostly trained for a given power network and lack generalizability to today's power networks with varying topologies and growing plug-and-play distributed energy…

Machine Learning · Computer Science 2023-09-25 Heng Liang , Changhong Zhao

This paper introduces a framework to capture previously intractable optimization constraints and transform them to a mixed-integer linear program, through the use of neural networks. We encode the feasible space of optimization problems…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Ilgiz Murzakhanov , Andreas Venzke , George S. Misyris , Spyros Chatzivasileiadis

The increasing penetration of renewables in distribution networks calls for faster and more advanced voltage regulation strategies. A promising approach is to formulate the problem as an optimization problem, where the optimal reactive…

Optimization and Control · Mathematics 2020-02-24 Yize Chen , Yuanyuan Shi , Baosen Zhang

The Optimal Reactive Power Dispatch (ORPD) problem plays a crucial role in power system operations, ensuring voltage stability and minimizing power losses. Recent advances in machine learning, particularly within the ``learning to…

Machine Learning · Computer Science 2025-06-02 Ignacio Boero , Santiago Diaz , Tomás Vázquez , Enzo Coppes , Pablo Belzarena , Federico Larroca

In this paper, we consider the scenario-based two-stage stochastic DC optimal power flow (OPF) problem for optimal and reliable dispatch when the load is facing uncertainty. Although this problem is a linear program, it remains…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Ling Zhang , Daniel Tabas , Baosen Zhang

This paper studies a combined space partitioning and network flow optimization problem, with applications to large-scale power, transportation, or communication systems. In dense wireless networks, one may want to simultaneously optimize…

Optimization and Control · Mathematics 2025-09-16 Théo Laurentin , Patrick Coirault , Emmanuel Moulay , Antoine Lesage-Landry , Jerome Le Ny

With the proliferation of distributed generation into distribution networks, the need to consider fault currents in the dispatch problem becomes increasingly relevant. This paper introduces a method for adding fault current constraints into…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Jose E. Tabarez , Arthur K. Barnes , Adam Mate , Russell W. Bent

Imbalanced data pose challenges for deep learning based classification models. One of the most widely-used approaches for tackling imbalanced data is re-weighting, where training samples are associated with different weights in the loss…

Machine Learning · Computer Science 2022-08-08 Dandan Guo , Zhuo Li , Meixi Zheng , He Zhao , Mingyuan Zhou , Hongyuan Zha

This paper deals with the secure Optimal Transmission Switching (OTS) problem in situations where the TSO is forced to accept the risk that some contingencies may result in the de-energization of parts of the grid to avoid the violation of…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Benoît Jeanson , Simon H. Tindemans

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

One potential future for the next generation of smart grids is the use of decentralized optimization algorithms and secured communications for coordinating renewable generation (e.g., wind/solar), dispatchable devices (e.g.,…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Terrence W. K. Mak , Minas Chatzos , Mathieu Tanneau , Pascal Van Hentenryck