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Wildfire risk poses a growing challenge for electric utilities, as powerline failures can ignite wildfires while large fires can disrupt grid operations. Utilities increasingly rely on operational interventions such as Public Safety Power…

Optimization and Control · Mathematics 2026-05-25 Shuyi Chen , Shixiang Zhu , Ramteen Sioshansi

This paper applies Benders decomposition to two-stage stochastic problems for energy planning under climate uncertainty, a key problem for the design of renewable energy systems. To improve performance, we adapt various refinements for…

Optimization and Control · Mathematics 2024-01-29 Leonard Göke , Felix Schmidt , Mario Kendziorski

We propose an approach based on machine learning to solve two-stage linear adaptive robust optimization (ARO) problems with binary here-and-now variables and polyhedral uncertainty sets. We encode the optimal here-and-now decisions, the…

Machine Learning · Computer Science 2026-04-21 Dimitris Bertsimas , Cheol Woo Kim

In this paper, we apply Value-at-Risk (VaR) approaches on the problem of yearly electric generation management. In a classical approach, the future is modelled as a markov chain and the goal is to minimize the average generation cost over…

Optimization and Control · Mathematics 2007-05-23 Vincent Guigues , Papa-Momar Ndiaye

We show how to value both variable generation and energy storage to enable them to be integrated fairly and optimally into electricity capacity markets. We develop theory based on balancing expected energy unserved against costs of capacity…

Optimization and Control · Mathematics 2021-08-10 Stan Zachary , Amy Wilson , Chris Dent

This study presents a controlled parametric framework for analyzing energy storage planning under uncertainty in a multi-stage model predictive control setting. The framework enables a broad and systematic exploration through parametrized…

This paper studies the problem of robustly optimal operation control of microgrids with a high share of renewable energy sources. The main goal is to ensure optimal operation under a wide range of circumstances, given the highly…

Optimization and Control · Mathematics 2025-12-10 Ujjwal Pratap , Steffen Hofmann

Large scale renewable energy integration is being planned for multiple power grids around the world. To achieve secure and stable grid operations, additional resources/reserves are needed to mitigate the inherent intermittency of renewable…

Systems and Control · Electrical Eng. & Systems 2020-04-21 Md Umar Hashmi , Deepjyoti Deka , Lucas Pereira , Ana Busic

The scenario approach provides a powerful data-driven framework for designing solutions under uncertainty with rigorous probabilistic robustness guarantees. Existing theory, however, primarily addresses assessing robustness with respect to…

Machine Learning · Statistics 2026-04-02 Simone Garatti , Lucrezia Manieri , Alessandro Falsone , Algo Carè , Marco C. Campi , Maria Prandini

This paper presents a real time control strategy for dynamically balancing electric demand and supply at local level, in a scenario characterized by a HV/MV substation with the presence of renewable energy sources in the form of…

Optimization and Control · Mathematics 2015-06-16 Alessandro Di Giorgio , Francesco Liberati , Andrea Lanna

As renewable energy sources replace traditional power sources (such as thermal generators), uncertainty grows while there are fewer controllable units. To reduce operational risks and avoid frequent real-time emergency controls, a…

Optimization and Control · Mathematics 2022-07-04 Yue Chen , Wei Wei

Two critical issues have arisen in transmission expansion planning with the rapid growth of wind power generation. First, severe power ramping events in daily operation due to the high variability of wind power generation pose great…

Optimization and Control · Mathematics 2016-12-02 Jia Li , Zuyi Li , Feng Liu , Hongxing Ye , Xuemin Zhang , Shengwei Mei , Naichao Chang

The deepening of the penetration of renewable energy is challenging how power system operators cope with their associated variability and uncertainty. The inherent flexibility of dispathchable assets present in power systems, which is often…

Optimization and Control · Mathematics 2024-08-19 Mohamed Awadalla , François Bouffard

Power systems with high renewable energy penetration are highly influenced by weather conditions, often facing significant challenges such as persistent power shortages and severe power fluctuations over long time scales. This paper…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Kai Kang , Feng Liu , Yifan Su , Zhaojian Wang

High penetration of renewable energy sources (RES) introduces significant uncertainty and intermittency into microgrid operations, posing challenges to economic and reliable scheduling. To address this, this paper proposes an end-to-end…

Systems and Control · Electrical Eng. & Systems 2026-02-04 Tingwei Cao , Yan Xu

The increase in renewable energy sources (RESs), like wind or solar power, results in growing uncertainty also in transmission grids. This affects grid stability through fluctuating energy supply and an increased probability of overloaded…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

The increasing use of renewable energy sources (RESs) and responsive loads has made power systems more uncertain. Meanwhile, thanks to the development of advanced metering and forecasting technologies, predictions by RESs and load owners…

Optimization and Control · Mathematics 2023-08-01 Rui Xie , Pierre Pinson , Yin Xu , Yue Chen

This paper studies the behavior of a strategic aggregator offering regulation capacity on behalf of a group of distributed energy resources (DERs, e.g. plug-in electric vehicles) in a power market. Our objective is to maximize the…

Optimization and Control · Mathematics 2017-08-18 Hongcai Zhang , Zechun Hu , Eric Munsing , Scott J. Moura , Yonghua Song

This paper presents a multi-stage expansion model for the co-planning of transmission lines, battery energy storage (ES), and wind power plants (WPP). High penetration of renewable energy sources (RES) is integrated into the proposed model…

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

To address the environmental concern and improve the economic efficiency, the wind power is rapidly integrated into smart grids. However, the inherent uncertainty of wind energy raises operational challenges. To ensure the cost-efficient,…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Wei Xie , Yuan Yi , Zhi Zhou , Keqi Wang