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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

Increasing penetration of wind and renewable generation poses significant challenges to the power system operations and reliability. This paper considers the real-time optimal transmission switching (OTS) problem for determining the…

Optimization and Control · Mathematics 2020-02-05 Yuqi Zhou , Hao Zhu , Grani A. Hanasusanto

In an effort to reduce power system-caused wildfires, utilities carry out public safety power shutoffs (PSPS) in which portions of the grid are de-energized to mitigate the risk of ignition. The decision to call a PSPS must balance reducing…

Optimization and Control · Mathematics 2022-11-03 Antoine Lesage-Landry , Félix Pellerin , Joshua A. Taylor , Duncan S. Callaway

Implementing economy-wide decarbonization strategies based on decarbonizing the power grid via variable renewable energy (VRE) expansion and electrification of end-uses requires new approaches for energy infrastructure planning that…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Rahman Khorramfar , Dharik Mallapragada , Saurabh Amin

The resilience of electric power grids is threatened by natural hazards. Climate-related hazards are becoming more frequent and intense due to climate change. Statistical analyses clearly demonstrate a rise in the number of incidents (power…

Physics and Society · Physics 2025-04-30 George Karagiannakis , Mathaios Panteli , Sotirios Argyroudis

In the electrical grid, the distribution system is themost vulnerable to severe weather events. Well-placed and coordinatedupgrades, such as the combination of microgrids, systemhardening and additional line redundancy, can greatly reduce…

Computational Engineering, Finance, and Science · Computer Science 2017-05-24 Arthur Barnes , Harsha Nagarajan , Emre Yamangil , Russell Bent , Scott Backhaus

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

We analyze a power distribution line with high penetration of distributed generation and strong variations of power consumption and generation levels. In the presence of uncertainty the statistical description of the system is required to…

Optimization and Control · Mathematics 2010-06-02 Konstantin S. Turitsyn

It is of growing concern to ensure resilience in power distribution systems to extreme weather events. However, there are no clear methodologies or metrics available for resilience assessment that allows system planners to assess the impact…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Abodh Poudyal , Anamika Dubey , Shiva Poudel

Due to climate change, the extreme wildfire has become one of the most dangerous natural hazards to human civilization. Even though, some wildfires may be initially caused by human activity, but the spread of wildfires is mainly determined…

Machine Learning · Computer Science 2025-03-13 Qijun Chen , Shaofan Li

In the last decade, wildfires have become wider and more destructive. The climate change and the growth of urban areas may further increase the probability of incidence of large-scale fires. The risk of fire can be lowered with preventive…

Combinatorics · Mathematics 2021-03-19 Marc Demange , Alessia Di Fonso , Gabriele Di Stefano , Pierpaolo Vittorini

Electric power infrastructure faces increasing risk of damage and disruption due to wildfire. Operators of power grids in wildfire-prone regions must consider the potential impacts of unpredictable fires. However, traditional wildfire…

Optimization and Control · Mathematics 2026-03-20 Matthew Brun , Xu Andy Sun , Jean-Paul Watson

Distribution networks are increasingly exposed to threats such as extreme weather, aging infrastructure, and cyber risks--resulting in more frequent contingencies and outages, a trend likely to persist. Microgrids, particularly dynamic…

Optimization and Control · Mathematics 2025-10-10 Hannah Moring , Bala Kameshwar Poolla , Harsha Nagarajan , Johanna L. Mathieu , Andrey Bernstein , David M. Fobes

In this paper, we develop a distributionally robust chance-constrained formulation of the Optimal Power Flow problem (OPF) whereby the system operator can leverage contextual information. For this purpose, we exploit an ambiguity set based…

Optimization and Control · Mathematics 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales

Due to the increasing occurrence of natural disasters, importance of maintaining sustainable energy for cities and society is felt more than ever. On the other hand, power loss reduction is a challenging issue of active distribution…

Systems and Control · Electrical Eng. & Systems 2024-03-29 Saeed Behzadi , Amir Bagheri , Abbas Rabiee

When performing the resilience enhancement for distribution networks, there are two obstacles to reliably model the uncertain contingencies: 1) decision-dependent uncertainty (DDU) due to various line hardening decisions, and 2)…

Systems and Control · Electrical Eng. & Systems 2023-10-12 Yujia Li , Shunbo Lei , Wei Sun , Chenxi Hu , Yunhe Hou

We propose two scenario-based optimization models for power grid resilience decision making that integrate output from a hydrology model with a power flow model. The models are used to identify an optimal substation hardening strategy…

Optimization and Control · Mathematics 2023-02-22 Ashutosh Shukla , Erhan Kutanoglu , John J. Hasenbein

The increasing demand for electricity and the aging infrastructure of power distribution systems have raised significant concerns about future system reliability. Failures in distribution systems, closely linked to system usage and…

Optimization and Control · Mathematics 2024-10-21 Gejia Zhang , Robert Mieth

We compare stochastic programming and robust optimization decision models for informing the deployment of ad hoc flood mitigation measures to protect electrical substations prior to an imminent and uncertain hurricane. In our models, the…

Optimization and Control · Mathematics 2024-06-11 Brent Austgen , Erhan Kutanoglu , John J. Hasenbein , Surya Santoso

Energy systems resilience is becoming increasingly important as the frequency of major grid outages increases. In this work, we present a methodology to optimize a behind-the-meter distributed energy resource system to sustain a site's…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Sakshi Mishra , Kate Anderson