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In recent advances in solving the problem of transmission network expansion planning, the use of robust optimization techniques has been put forward, as an alternative to stochastic mathematical programming methods, to make the problem…

Computational Engineering, Finance, and Science · Computer Science 2016-09-28 Roberto Minguez , Raquel Garcia-Bertrand

Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliably operate these complex networks. In this work we present a…

Optimization and Control · Mathematics 2021-05-12 Alessandro Zocca , Chen Liang , Linqi Guo , Steven H. Low , Adam Wierman

The topology of a power grid affects its dynamic operation and settlement in the electricity market. Real-time topology identification can enable faster control action following an emergency scenario like failure of a line. This article…

Optimization and Control · Mathematics 2017-07-18 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

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

Topology optimization has emerged as a powerful and increasingly relevant strategy for enhancing the flexibility and efficiency of power system operations. However, solving these problems is computationally demanding due to their…

Optimization and Control · Mathematics 2026-02-11 Salvador Pineda , Juan Miguel Morales

This paper presents a novel modified Viterbi algorithm to identify the optimal distribution system restoration plan for improving the grid resiliency. In the proposed algorithm, the switching operations performed for system restoration are…

Optimization and Control · Mathematics 2017-08-04 Chen Yuan , Mahesh S. Illindala , Amrit S. Khalsa

Knowing the connectivity and line parameters of the underlying electric distribution network is a prerequisite for solving any grid optimization task. Although distribution grids lack observability and comprehensive metering, inverters with…

Optimization and Control · Mathematics 2019-02-22 Guido Cavraro , Vassilis Kekatos

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

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

In transmission networks power flows and network topology are deeply intertwined due to power flow physics. Recent literature shows that specific network substructures named bridge-blocks prevent line failures from propagating globally. A…

Optimization and Control · Mathematics 2021-10-15 Leon Lan , Alessandro Zocca

Optimal decision-making is key to efficient allocation and scheduling of repair resources (e.g., crews) to service affected nodes of large power grid networks. Traditional manual restoration methods are inadequate for modern smart grids…

Optimization and Control · Mathematics 2024-04-23 Harshal D. Kaushik , Roshni Anna Jacob , Souma Chowdhury , Jie Zhang

Large-scale neuromorphic architectures consist of computing tiles that communicate spikes using a shared interconnect. The communication patterns in these systems are inherently sparse, asynchronous, and localized, as neural activity is…

Neural and Evolutionary Computing · Computer Science 2025-11-21 Phu Khanh Huynh , Francky Catthoor , Anup Das

This paper proves that in an unbalanced multi-phase network with a tree topology, the semidefinite programming relaxation of optimal power flow problems is exact when critical buses are not adjacent to each other. Here a critical bus either…

Optimization and Control · Mathematics 2020-09-15 Fengyu Zhou , Yue Chen , Steven H. Low

During the pandemic of COVID-19, the demand of the transportation systems are drastically changed both qualitatively and quantitatively and the network has become obsolete. In this article, we study the problem of finding an optimal…

Discrete Mathematics · Computer Science 2021-05-07 Matthieu Guillot , El-Houssaine Aghezzaf , Nour-Eddin El Faouzi , Angelo Furno

To improve the resilience of electric distribution systems, this paper proposes a stochastic multi-period mixed-integer linear programming model that determines where to underground distribution lines and how to coordinate mobile generators…

Systems and Control · Electrical Eng. & Systems 2022-04-25 Babak Taheri , Daniel K. Molzahn , Santiago Grijalva

Distribution factors are indispensable tools in the design and analysis of power transmission grids. Recently, they received a renewed interest in the field of topology optimization, leading to the definition of bus merge and bus split…

Optimization and Control · Mathematics 2024-12-24 Joost van Dijk , Nico Westerbeck , Lars Schewe , Andrea Benigni , Dirk Witthaut

Recent studies have shown that multi-step optimization based on Model Predictive Control (MPC) can effectively coordinate the increasing number of distributed renewable energy and storage resources in the power system. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-02 Junyao Guo , Gabriela Hug , Ozan Tonguz

This study addresses the rebalancing of empty modular transit pods between scheduled service trips in fixed-route bus systems. A two-stage hierarchical optimization framework is proposed. The first stage determines the minimum fleet size…

Optimization and Control · Mathematics 2025-08-27 Tina Radvand , Alireza Talebpour , Yanfeng Ouyang

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

Optimization and Control · Mathematics 2018-10-22 Fu Lin

The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a…

Optimization and Control · Mathematics 2019-03-21 Siddharth Bhela , Deepjyoti Deka , Harsha Nagarajan , Vassilis Kekatos