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This paper proposes a distributionally robust unit commitment approach for microgrids under net load and electricity market price uncertainty. The key thrust of the proposed approach is to leverage the Kullback-Leibler divergence to…

Optimization and Control · Mathematics 2020-12-15 Ogun Yurdakul , Fikret Sivrikaya , Sahin Albayrak

The increasing frequency of extreme weather events, such as hurricanes, highlights the urgent need for efficient and equitable power system restoration. Many electricity providers make restoration decisions primarily based on the volume of…

Machine Learning · Computer Science 2025-08-08 Lin Jiang , Dahai Yu , Rongchao Xu , Tian Tang , Guang Wang

Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

Optimization and Control · Mathematics 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

Low levels of inertia due to increasing renewable penetration bring several challenges, such as the higher need for Primary Frequency Response (PFR). A potential solution to mitigate this problem consists on reducing the largest possible…

Optimization and Control · Mathematics 2020-01-14 Luis Badesa , Fei Teng , Goran Strbac

Optimizing a building's energy supply design is a task with multiple competing criteria, where not only monetary but also, for example, an environmental objective shall be taken into account. Moreover, when deciding which storages and…

Optimization and Control · Mathematics 2024-07-26 Elisabeth Halser , Elisabeth Finhold , Neele Leithäuser , Tobias Seidel , Karl-Heinz Küfer

A promising approach to hedge against the inherent uncertainty of renewable generation is to equip the renewable plants with energy storage systems. This paper focuses on designing profit maximization offering strategies, i.e., the…

Computer Science and Game Theory · Computer Science 2016-12-02 Lin Yang , Mohammad H. Hajiesmaili , Hanling Yi , Minghua Chen

Renewable energy has attracted significant attention over the last decade, conceivably due to its environmental benefits and the recent drops in the development and deployment cost of the technology. The increase in renewable generation,…

Systems and Control · Computer Science 2016-10-25 Alireza Majzoobi , Amin Khodaei , Shay Bahramirad , Math H J Bollen

Reinforcement Learning with Verifiable Rewards (RLVR) has achieved substantial gains in single-attempt accuracy (Pass@1) on reasoning tasks, yet often suffers from reduced multi-sample coverage (Pass@K), indicating diversity collapse. We…

Machine Learning · Computer Science 2026-05-04 Anamika Lochab , Bolian Li , Ruqi Zhang

This paper considers non-cooperative and fully-distributed power-allocation for selfish transmitter-receiver pairs in shared unlicensed spectrum when normalized-interference to each receiver is uncertain. We model each uncertain parameter…

Information Theory · Computer Science 2015-03-19 Saeideh Parsaei fard , Ahmad R. Sharafat

Electricity markets currently fail to incorporate preferences of buyers, treating polluting and renewable energy sources as having equal social benefit under a system of uniform clearing prices. Meanwhile, renewable energy is prone to…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Emilie Jong , Samuel Chevalier , Spyros Chatzivasileiadis , Shie Mannor

High penetration of renewable generation poses great challenge to power system operation due to its uncertain nature. In droop-controlled microgrids, the voltage volatility induced by renewable uncertainties is aggravated by the high droop…

Systems and Control · Electrical Eng. & Systems 2020-11-02 Tianlun Chen , David J. Hill , Yue Song , Albert Y. S. Lam

Robust optimization(RO) is an important tool for handling optimization problem with uncertainty. The main objective of RO is to solve optimization problems due to uncertainty associated with constraints satisfying all realizations of…

Optimization and Control · Mathematics 2025-04-02 Parthasarathi Mondal , Akshay Kumar Ojha

Deploying distributed renewable energy at the demand side is an important measure to implement a sustainable society. However, the massive small solar and wind generation units are beyond the control of a central operator. To encourage…

Optimization and Control · Mathematics 2021-02-23 Yue Chen , Wei Wei , Han Wang , Quan Zhou , João P. S. Catalão

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

Optimization and Control · Mathematics 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

The transmission-constrained unit commitment (TC-UC) problem is one of the most relevant problems solved by independent system operators for the daily operation of power systems. Given its computational complexity, this problem is usually…

Optimization and Control · Mathematics 2020-01-27 Salvador Pineda , Juan Miguel Morales , Asunción Jiménez-Cordero

Within the last few years, the trend towards more distributed, renewable energy sources has led to major changes and challenges in the electricity sector. To ensure a stable electricity distribution in this changing environment, we propose…

Systems and Control · Electrical Eng. & Systems 2023-07-12 Jens Hönen , Johann L. Hurink , Bert Zwart

Capacity expansion models used for policy support have increasingly represented both the variability and uncertainty of weather-dependent generation (wind and solar). However, although also uncertain, as demonstrated by the performance of…

Optimization and Control · Mathematics 2025-04-14 Kamran Forghani , Xiaoming Kan , Lina Reichenberg , Fredrik Hedenus

In this paper we consider the issue of energy efficiency in random access networks and show that optimizing transmission probabilities of nodes can enhance network performance in terms of energy consumption and fairness. First, we propose a…

Information Theory · Computer Science 2010-11-24 Amir Mahdi Khodaian , Babak H. Khalaj , Mohammad S. Talebi

This paper develops a multi-period optimization framework to design a voluntary renewable program (VRP) for an electric utility company, aiming to maximize total renewable energy deployments. In the business model of VRP, the utility must…

Optimization and Control · Mathematics 2026-03-19 Zhiyuan Fan , Tianyi Lin , Bolun Xu

Fair top-$k$ selection, which ensures appropriate proportional representation of members from minority or historically disadvantaged groups among the top-$k$ selected candidates, has drawn significant attention. We study the problem of…

Data Structures and Algorithms · Computer Science 2026-03-31 Guangya Cai
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