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With the development of machine learning and Big Data, the concepts of linear and non-linear optimization techniques are becoming increasingly valuable for many quantitative disciplines. Problems of that nature are typically solved using…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Wiktor Maj

A joint resource allocation (RA), user association (UA), and power control (PC) problem is addressed for proportional fairness maximization in a cooperative multiuser downlink small cell network with limited backhaul capacity, based on…

Networking and Internet Architecture · Computer Science 2018-08-14 Jonggyu Jang , Hyun Jong Yang , Hyekyung Jwa

The integration of renewable generation poses operational and economic challenges for the electricity grid. For the core problem of power balance, the legacy paradigm of tailoring supply to follow random demand may be inappropriate under…

Systems and Control · Computer Science 2014-09-25 Ashutosh Nayyar , Matias Negrete-Pincetic , Kameshwar Poolla , Pravin Varaiya

Power systems Unit Commitment (UC) problem determines the generator commitment schedule and dispatch decisions to realize the reliable and economic operation of power networks. The growing penetration of stochastic renewables and demand…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Xuan He , Yuxin Pan , Yize Chen , Danny H. K. Tsang

Managing uncertainty and variability in power injections has become a major concern for power system operators due to the increasing levels of fluctuating renewable energy connected to the grid. This work addresses this uncertainty via a…

Optimization and Control · Mathematics 2020-05-05 Alejandra Pena-Ordieres , Daniel Molzahn , Line Roald , Andreas Waechter

The high penetration of converter-based renewable energy sources has brought challenges to the power system frequency control. It is essential to consider the frequency security constraints and frequency control reserve requirements in unit…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Likai Liu , Zechun Hu

Nonconvexity induced by the nonlinear AC power flow equations challenges solution algorithms for AC optimal power flow (OPF) problems. While significant research efforts have focused on reliably computing high-quality OPF solutions, it is…

Optimization and Control · Mathematics 2020-02-18 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

This paper considers a network of collaborating agents for local resource allocation subject to nonlinear model constraints. In many applications, it is required (or desirable) that the solution be anytime feasible in terms of satisfying…

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

This paper presents an algorithm for restoring AC power flow feasibility from solutions to simplified optimal power flow (OPF) problems, including convex relaxations, power flow approximations, and machine learning (ML) models. The proposed…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Babak Taheri , Daniel K. Molzahn

This paper deals with the impact of linear approximations for the unknown nonconvex confidence region of chance-constrained AC optimal power flow problems. Such approximations are required for the formulation of tractable chance…

Systems and Control · Computer Science 2018-10-03 Lejla Halilbasic , Pierre Pinson , Spyros Chatzivasileiadis

This paper focuses on the AC Optimal Power Flow (OPF) problem for multi-phase systems. Particular emphasis is given to systems with high integration of renewables, where adjustments of the real and reactive output powers from renewable…

Optimization and Control · Mathematics 2016-12-22 Ahmed S. Zamzam , Nicholas D. Sidiropoulos , Emiliano Dall'Anese

Modern power systems face a grand challenge in grid management due to increased electricity demand, imminent disturbances, and uncertainties associated with renewable generation, which can compromise grid security. The security assessment…

Numerical Analysis · Mathematics 2021-03-02 Mazhar Ali , Elena Gryazina , Anatoly Dymarsky , Petr Vorobev

The AC Optimal Power Flow (AC-OPF) problem is a core building block in electrical transmission system. It seeks the most economical active and reactive generation dispatch to meet demands while satisfying transmission operational limits. It…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Terrence W. K. Mak , Ferdinando Fioretto , Pascal VanHentenryck

High Voltage Direct Current (HVDC) systems interconnect AC grids to increase reliability, connect offshore wind generation, and enable coupling of electricity markets. Considering the growing uncertainty in power infeed and the complexity…

Systems and Control · Computer Science 2020-07-24 Andreas Venzke , Spyros Chatzivasileiadis

The Optimal power flow (OPF) problem contains many constraints. However, equality constraints along with a limited set of active inequality constraints encompass sufficient information to determine the feasible space of the problem. In this…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Fouad Hasan , Amin Kargarian , Javad Mohammadi

In recent years, the issue of energy consumption in high performance computing (HPC) systems has attracted a great deal of attention. In response to this, many energy-aware algorithms have been developed in different layers of HPC systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-13 Nikzad Babaii Rizvandi

To capture the stochastic characteristics of renewable energy generation output, the chance-constrained unit commitment (CCUC) model is widely used. Conventionally, analytical solution for CCUC is usually based on simplified probability…

Optimization and Control · Mathematics 2019-05-30 Yue Yang , Wenchuan Wu , Bin Wang , Mingjie Li

Stepwise controllable devices, such as switched capacitors or stepwise controllable loads and generators, transform the nonconvex AC optimal power flow (AC-OPF) problem into a nonconvex mixed-integer (MI) programming problem which is…

Optimization and Control · Mathematics 2025-10-13 Johannes Heid , Nils Bornhorst , Eric Tönges , Philipp Härtel , Denis Mende , Martin Braun

As the share of renewables in the grid increases, the operation of power systems becomes more challenging. The present paper proposes a method to formulate and solve chance-constrained optimal power flow while explicitly considering the…

Systems and Control · Computer Science 2019-04-04 T. Mühlpfordt , L. Roald , V. Hagenmeyer , T. Faulwasser , S. Misra