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An interior-point algorithm framework is proposed, analyzed, and tested for solving nonlinearly constrained continuous optimization problems. The main setting of interest is when the objective and constraint functions may be nonlinear…

Optimization and Control · Mathematics 2024-08-30 Frank E. Curtis , Xin Jiang , Qi Wang

Optimal decision-making is key to efficient allocation and scheduling of repair resources (e.g., crews) to service affected nodes of large power grid networks. Traditional manual restoration methods are inadequate for modern smart grids…

Optimization and Control · Mathematics 2024-04-23 Harshal D. Kaushik , Roshni Anna Jacob , Souma Chowdhury , Jie Zhang

Point sets matching problems can be handled by optimal transport. The mechanism behind it is that optimal transport recovers the point-to-point correspondence associated with the least curl deformation. Optimal transport is a special form…

Optimization and Control · Mathematics 2023-02-17 Janith Wijesinghe , Pengwen Chen

One of the most complicating factors in decentralized optimization for power systems is the modeling of power flow equations. Existing formulations for DC power flows either have limited scalability or are very dense and unstructured,…

Optimization and Control · Mathematics 2021-03-16 Alinson S. Xavier , Feng Qiu , Santanu S. Dey

We propose a combined global-local control approach to regulate voltage and minimize power losses in distribution networks with high integration of distributed energy resources (DERs). Local controllers embed the fast acting proportional…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Wilhiam de Carvalho , Ahmad Attarha , Hemanshu R. Pota

With the rise of distributed energy resources and sector coupling, distributed optimization can be a sensible approach to coordinate decentralized energy resources. Further, district heating, heat pumps, cogeneration, and sharing concepts…

Multiagent Systems · Computer Science 2025-06-23 Rico Schrage , Jari Radler , Astrid Nieße

This paper presents a quantum-enhanced optimization approach for solving optimal power flow (OPF) by integrating the interior point method (IPM) with a coherent variational quantum linear solver (CVQLS). The objective is to explore the…

Quantum Physics · Physics 2025-08-29 Farshad Amani , Amin Kargarian

We propose a hidden convexity-based method to address distributed optimal energy flow (OEF) problems for transmission-level integrated electricity-gas systems. First, we develop a node-wise decoupling method to de-compose an OEF problem…

Optimization and Control · Mathematics 2024-07-09 Rong-Peng Liu , Yue Song , Junhong Liu , Xiaozhe Wang , Jinpeng Guo , Yunhe Hou

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

Optimization and Control · Mathematics 2019-08-02 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

The highly non-convex AC optimal power flow problem is known to scale very poorly with respect to the number of lines and buses. To achieve improved computational speed and scalability, we apply a distributed optimization algorithm, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-27 Alexander Murray , Michael Kyesswa , Philipp Schmurr , Hüseyin K Çakmak , Veit Hagenmeyer

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) so they collectively meet the electric power demanded by a collection of loads, while minimizing the total…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Madi Zholbaryssov , Christoforos N. Hadjicostis , Alejandro D. Dominguez-Garcia

This paper shows how a class of non-convex optimization problems constrained by discretized nonlinear partial differential equations may be solved to global optimality using an interior point continuation method. The solution procedure…

Optimization and Control · Mathematics 2020-03-13 Jorn Baayen , Teresa Piovesan , Jesse VanderWees

This paper proposes a learning-based approach to accelerate the interior-point method (IPM) for solving optimal power flow (OPF) problems by learning the structure of the IPM central path from its early stable iterations. Unlike traditional…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Farshad Amani , Amin Kargarian , Ramachandran Vaidyanathan

Large scale, non-convex optimization problems arising in many complex networks such as the power system call for efficient and scalable distributed optimization algorithms. Existing distributed methods are usually iterative and require…

Optimization and Control · Mathematics 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

We consider the delay minimization problem in an energy harvesting communication network with energy cooperation. In this network, nodes harvest energy from nature for use in data transmission, and may transfer a portion of their harvested…

Information Theory · Computer Science 2016-11-17 Berk Gurakan , Omur Ozel , Sennur Ulukus

In this paper, energy efficient power allocation for downlink massive MIMO systems is investigated. A constrained non-convex optimization problem is formulated to maximize the energy efficiency (EE), which takes into account the quality of…

Information Theory · Computer Science 2017-03-22 Jiadian Zhang , Yanxiang Jiang , Peng Li , Fuchun Zheng , Xiaohu You

Agent-based solutions lend themselves well to address privacy concerns and the computational scalability needs of future distributed electric grids and end-use energy exchanges. Decentralized decision-making methods are the key to enabling…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Meiyi Li , Javad Mohammadi , Soummya Kar

This paper proposes energy-efficient coordinated beamforming strategies for multi-cell multi-user multiple-input single-output system. We consider a practical power consumption model, where part of the consumed power depends on the base…

Information Theory · Computer Science 2017-10-03 Oskari Tervo , Antti Tölli , Markku Juntti , Le-Nam Tran

Motivated by the fact that intelligent traffic control systems have become inevitable demand to cope with the risk of traffic congestion in urban areas, this paper develops a distributed control strategy for urban traffic networks. Since…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Viet Hoang Pham , Kazunori Sakurama , Shaoshuai Mou , Hyo-Sung Ahn

In this paper, we propose a framework for coordinating distributed energy resources (DERs) connected to a power distribution system, the model of which is not completely known, so that they collectively provide a specified amount of active…

Optimization and Control · Mathematics 2020-06-09 Hanchen Xu , Alejandro D. Domínguez-García , Peter W. Sauer
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