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Transmission lines, crucial to the power grid, are subjected to diverse environmental conditions such as wind, temperature, humidity, and pollution. While these conditions represent a consistent impact on the transmission lines, certain…

Numerical Analysis · Mathematics 2025-12-03 Prakash KC , Maryam Naghibolhosseini , Mohsen Zayernouri

As changing climates transform the landscape of wildfire management and suppression, agencies are faced with difficult resource allocation decisions. We analyze trade-offs in temporal resource allocation using a simple but robust Markov…

Physics and Society · Physics 2024-10-07 George Hulsey , David L. Alderson , Jean Carlson

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

Multistage stochastic optimization problems are, by essence, complex as their solutions are indexed both by stages and by uncertainties. Their large scale nature makes decomposition methods appealing, like dynamic programming which is a…

Optimization and Control · Mathematics 2023-05-01 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , Thomas Martin , Tristan Rigaut

In this paper, a multi-stage model for expansion co-planning of transmission lines, Battery Energy Storages (BESs), and Wind Farms (WFs) is presented considering resilience against extreme weather events. In addition to High Voltage…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Mojtaba Moradi-Sepahvand , Turaj Amraee , Saleh Sadeghi Gougheri

Distribution grid operation faces new challenges caused by a rising share of renewable energy sources and the introduction of additional types of loads to the grid. With the increasing adoption of distributed generation and emerging…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Sebastian Peter , Daniel Feismann , Johannes Bao , Thomas Oberließen , Christian Rehtanz

Buildings are essential components of power grids, and their energy performance directly affects overall power system operation. This paper presents a novel stochastic optimization framework for building energy management systems, aiming to…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Hossein Nourollahi Hokmabad , Tala Hemmati Shahsavar , Pedro P. Vergara , Oleksandr Husev , Juri Belikov

In this paper, we compare the effectiveness of a two-stage control strategy for the energy management system (EMS) of a grid-connected microgrid under uncertain solar irradiance and load demand using a real-world dataset from an island in…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Subrat Prasad Panda , Blaise Genest , Arvind Easwaran , Rémy Rigo-Mariani , PengFeng Lin

This paper presents a novel learning based framework for predicting power outages caused by extreme events. The proposed approach targets low-probability high-consequence outage scenarios and leverages a comprehensive set of features…

Machine Learning · Computer Science 2026-02-11 Nina Fatehi , Antar Kumar Biswas , Masoud H. Nazari

In this paper, we extend the adaptive partition-based approach for solving two-stage stochastic programs with fixed recourse to the multistage stochastic programming setting. The proposed algorithms integrate the adaptive partition-based…

Optimization and Control · Mathematics 2019-08-30 Murwan Siddig , Yongjia Song

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

Modelling challenges of the United States Pacific Northwest system have grown in the last decade. Besides classical modelling difficulties such as a complex hydro cascade with many operational constraints, we have seen higher penetration of…

Optimization and Control · Mathematics 2020-08-06 Joaquim Dias Garcia , Guilherme Machado , André Dias , Gerson Couto , John Ollis , John Fazio , Daniel Hua

We introduce a new mathematical model to explore the dynamic relationship between prescribed burning and bushfire occurrence, formulated as a system of ordinary differential equations. The model admits a unique steady-state, and its…

Optimization and Control · Mathematics 2025-08-27 Serena Dipierro , Enrico Valdinoci , Glen Wheeler , Valentina-Mira Wheeler

Restoring power distribution systems after extreme events such as tornadoes presents significant logistical and computational challenges. The complexity arises from the need to coordinate multiple repair crews under uncertainty, manage…

Optimization and Control · Mathematics 2025-10-17 Harshal D. Kaushik , Roshni Anna Jacob , Souma Chowdhury , Jie Zhang

Microgrids are local energy systems that integrate energy production, demand, and storage units. They are generally connected to the regional grid to import electricity when local production and storage do not meet the demand. In this…

This paper proposes a novel method to co-optimize distribution system operation and repair crew routing for outage restoration after extreme weather events. A two-stage stochastic mixed integer linear program is developed. The first stage…

Optimization and Control · Mathematics 2018-06-29 Anmar Arif , Shanshan Ma , Zhaoyu Wang , Jianhui Wang , Sarah M. Ryan , Chen Chen

Optimal scheduling of batteries has significant potential to reduce electricity costs and to enhance grid resilience. However, effective battery scheduling must account for both physical constraints as well as uncertainties in consumption…

Optimization and Control · Mathematics 2026-04-01 Janik Pinter , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer , Frederik Zahn

Electric grid faults are increasingly the source of ignition for major wildfires. To reduce the likelihood of such ignitions in high risk situations, utilities use pre-emptive deenergization of power lines, commonly referred to as Public…

Systems and Control · Electrical Eng. & Systems 2023-04-28 Noah Rhodes , Carleton Coffrin , Line Roald

We develop multi-stage linear decision rules (LDRs) for dynamic power system generation and energy storage investment planning under uncertainty and propose their chance-constrained optimization with performance guarantees. First, the…

Optimization and Control · Mathematics 2023-03-14 Vladimir Dvorkin , Dharik Mallapragada , Audun Botterud

Renewable energy sources, such as wind and solar power, are increasingly being integrated into smart grid systems. However, when compared to traditional energy resources, the unpredictability of renewable energy generation poses significant…

Systems and Control · Electrical Eng. & Systems 2023-03-01 Arman Ghasemi , Amin Shojaeighadikolaei , Morteza Hashemi