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The growing prevalence of extreme weather events driven by climate change poses significant challenges to power system resilience. Infrastructure damage and prolonged power outages highlight the urgent need for effective grid-hardening…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Sifat Chowdhury , Yihsu Chen , Yu Zhang

A robust power scheduling algorithm is proposed to schedule power flow between the main electricity grid and a microgird with solar energy generation and battery energy storage subject to uncertainty in solar energy production. To avoid…

Systems and Control · Computer Science 2019-02-22 Amir Valibeygi , Abdulelah H. Habib , Raymond A. de Callafon

Robust Optimal Control (ROC) with adjustable uncertainties has proven to be effective in addressing critical challenges within modern energy networks, especially the reserve and provision problem. However, prior research on ROC with…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Yun Li , Neil Yorke-Smith , Tamas Keviczky

The increase of renewables in the grid and the volatility of the load create uncertainties in the day-ahead prices of electricity markets. Adaptive robust optimization (ARO) and stochastic optimization have been used to make commitment and…

Optimization and Control · Mathematics 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

Over the last few decades, electricity markets around the world have adopted multi-settlement structures, allowing for balancing of supply and demand as more accurate forecast information becomes available. Given increasing uncertainty due…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Nathan Dahlin , Rahul Jain

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

Optimization and Control · Mathematics 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

The exceptional benefits of wind power as an environmentally responsible renewable energy resource have led to an increasing penetration of wind energy in today's power systems. This trend has started to reshape the paradigms of power…

Optimization and Control · Mathematics 2014-10-01 Alvaro Lorca , Andy Sun

Maintaining safety under adaptation has long been considered to be an important capability for autonomous systems. As these systems estimate and change the ego-model of the system dynamics, questions regarding how to develop safety…

Robotics · Computer Science 2021-09-08 Charles Noren , Weiye Zhao , Changliu Liu

Wind generation is traditionally treated as a non-dispatchable resource and is fully absorbed unless there are security issues. To tackle the operational reliability issues caused by the volatile and non-dispatchable wind generation, many…

Optimization and Control · Mathematics 2015-11-13 Cheng Wang , Feng Liu , Feng Qiu , Wei Wei , Jianhui Wang , Shengwei Mei

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

Many practical optimization problems involve uncertain parameters that are strictly positive. However, the most common uncertainty sets used in robust optimization are the box and the ellipsoidal sets, which may include non-positive values…

Optimization and Control · Mathematics 2026-04-29 Tatsuya Tanaka , Huimin Li , Shota Yamanaka , Ellen H. Fukuda , Nobuo Yamashita

As net-load becomes less predictable there is a lot of pressure in changing decision models for power markets such that they account explicitly for future scenarios in making commitment decisions. This paper proposes to make commitment…

Optimization and Control · Mathematics 2016-12-21 Bita Analui , Anna Scaglione

This paper proposes risk-averse and risk-agnostic formulations to robust design in which solutions that satisfy the system requirements for a set of scenarios are pursued. These scenarios, which correspond to realizations of uncertain…

Optimization and Control · Mathematics 2025-11-07 Luis G. Crespo , Bret Stanford , Natalia Alexandrov

We propose a novel polyhedral uncertainty set for robust optimization, termed the smooth uncertainty set, which captures dependencies of uncertain parameters by constraining their pairwise differences. The bounds on these differences may be…

Optimization and Control · Mathematics 2025-10-13 Noam Goldberg , Michael Poss , Shimrit Shtern

The daily operation of real-world power systems and their underlying markets relies on the timely solution of the unit commitment problem. However, given its computational complexity, several optimization-based methods have been proposed to…

Optimization and Control · Mathematics 2023-03-24 Mohamed Awadalla , François Bouffard

Most existing generation scheduling models for power systems under demand uncertainty rely on energy-based formulations with a finite number of time periods, which may fail to ensure that power supply and demand are balanced continuously…

Optimization and Control · Mathematics 2025-04-02 Youngchae Cho , Insoon Yang , Takayuki Ishizaki

The increasing penetration of Renewable Energy Sources (RES) requires more Flexibility Resources (FR), generally thermal units and storages, must be kept in the system to accommodate the uncertainties from RES. The challenge is how the…

Optimization and Control · Mathematics 2015-12-31 Hongxing Ye , Jianhui Wang , Zuyi Li

Renewable energy sources such as wind and solar have received much attention in recent years and large amount of renewable generation is being integrated to the electricity networks. A fundamental challenge in power system operation is to…

Optimization and Control · Mathematics 2014-07-11 W. A. Bukhsh , C. Zhang , P. Pinson

This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term…

Optimization and Control · Mathematics 2021-01-19 Álvaro García-Cerezo , Luis Baringo , Raquel García-Bertrand

Robust optimization has been established as a leading methodology to approach decision problems under uncertainty. To derive a robust optimization model, a central ingredient is to identify a suitable model for uncertainty, which is called…

Optimization and Control · Mathematics 2021-09-10 Marc Goerigk , Jannis Kurtz