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With the integration of large-scale renewable energy sources to power systems, many optimization methods have been applied to solve the stochastic/uncertain transmission-constrained unit commitment (TCUC) problem. Among all methods,…

Optimization and Control · Mathematics 2018-10-18 Xuan Li , Qiaozhu Zhai , Xiaohong Guan

Power flow calculation plays an important role in planning, operation, and control of the power system. The quantum HHL algorithm can achieve theoretical exponential speedup over classical algorithms on DC power flow calculation. Since the…

Quantum Physics · Physics 2022-06-09 Fang Gao , Guojian Wu , Suhang Guo , Wei Dai , Feng Shuang

The assignment problem is an essential problem in many application fields and frequently used to optimize resource usage. The problem is well understood and various efficient algorithms exist to solve the problem. However, it was unclear…

Cryptography and Security · Computer Science 2022-05-09 Thomas Loruenser , Florian Wohner , Stephan Krenn

We consider the problem of finding a feasible single-commodity flow in a strongly connected network with fixed supplies and demands, provided that the sum of supplies equals the sum of demands and the minimum arc capacity is at least this…

Data Structures and Algorithms · Computer Science 2007-12-03 Bernhard Haeupler , Robert E. Tarjan

The presence of variable renewable energy resources with uncertain outputs in day-ahead electricity markets results in additional balancing needs in real-time. Addressing those needs cost-effectively and reliably within a competitive market…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Elina Spyrou , Qiwei Zhang , Robin B. Hytowitz , Ben F. Hobbs , Siddharth Tyagi , Mengmeng Cai , Michael Blonsky

In many power system optimization problems, we observe that only a small fraction of the line flow constraints ever become active at the optimal solution, despite variations in the load profile and generation costs. This observation has…

Optimization and Control · Mathematics 2019-04-04 Line Roald , Daniel K. Molzahn

As the intention is to reduce the amount of thermal generation and to increase the share of clean energy, power systems are increasingly becoming susceptible to frequency instability after outages due to reduced levels of inertia. To…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Mohammad Rajabdorri , Behzad Kazemtabrizi , Matthias Troffaes , Lukas Sigrist , Enrique Lobato

We consider offline scheduling algorithms that incorporate speed scaling to address the bicriteria problem of minimizing energy consumption and a scheduling metric. For makespan, we give linear-time algorithms to compute all non-dominated…

Data Structures and Algorithms · Computer Science 2007-05-23 David P. Bunde

This paper considers the representation of energy storage in electricity sector capacity planning models. The incorporation of storage in long-term systems models of this type is increasingly relevant as the cost of storage technologies,…

Optimization and Control · Mathematics 2021-06-01 James H. Merrick , John E. T. Bistline , Geoffrey J. Blanford

This paper proposes a two-level distributed algorithmic framework for solving the AC optimal power flow (OPF) problem with convergence guarantees. The presence of highly nonconvex constraints in OPF poses significant challenges to…

Optimization and Control · Mathematics 2021-06-14 Kaizhao Sun , Xu Andy Sun

In this paper, a two-stage stochastic day-ahead (DA) scheduling model is proposed incorporating wind power units and compressed air energy storage (CAES) to clear a co-optimized energy and reserve market. The two-stage stochastic…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Mohammad Ghaljehei , Mahrad Rahimi , Zahra Soltani , Behrouz Azimian , Behzad Vatandoust , Masoud Aliakbar Golkar

The AC Optimal Power Flow (AC-OPF) problem is central to power system operation but challenging to solve efficiently due to its nonconvex and nonlinear nature. Neural networks (NNs) offer fast surrogates, yet their black-box behavior raises…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Bastien Giraud , Rahul Nellikath , Johanna Vorwerk , Maad Alowaifeer , Spyros Chatzivasileiadis

The effective allocation of cross-border trading capacities is one of the central challenges for the implementation of a pan-European internal energy market. In contrast to traditional power flow-ignorant methods like net transfer…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Richard Weinhold , Robert Mieth

Short-term hydro-generation management poses a non-convex or even non-continuous optimization problem. For this reason, the problem of systematically obtaining feasible and economically satisfying solutions has not yet been completely…

Optimization and Control · Mathematics 2022-04-12 Jean-Philippe Chancelier , A Renaud

The idle computers on a local area, campus area, or even wide area network represent a significant computational resource---one that is, however, also unreliable, heterogeneous, and opportunistic. This type of resource has been used…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Adriana Iamnitchi , Ian Foster

We investigate the ability of a homogeneous collection of deferrable energy loads to behave as a battery; that is, to absorb and release energy in a controllable fashion up to fixed and predetermined limits on volume, charge rate and…

Systems and Control · Computer Science 2016-11-14 Daria Madjidian , Mardavij Roozbehani , Munther A. Dahleh

This paper presents a time decomposition strategy to reduce the computational complexity of power system multi-interval operation problems. We focus on the economic dispatch problem. The considered scheduling horizon is decomposed into…

Signal Processing · Electrical Eng. & Systems 2019-02-18 Farnaz Safdarian , Okan Ciftci , Amin Kargarian

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

In this paper, we study the peak-aware energy scheduling problem using the competitive framework with machine learning prediction. With the uncertainty of energy demand as the fundamental challenge, the goal is to schedule the energy output…

Data Structures and Algorithms · Computer Science 2019-11-20 Russell Lee , Mohammad H. Hajiesmaili , Jian Li

In this paper, we study the operational problem of connected hydro power reservoirs which involves sequential decision-making in an uncertain and dynamic environment. The problem is traditionally formulated as a stochastic dynamic program…

Optimization and Control · Mathematics 2022-05-17 Farzaneh Pourahmadi , Trine Krogh Boomsma