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We analyze a power distribution line with high penetration of distributed generation and strong variations of power consumption and generation levels. In the presence of uncertainty the statistical description of the system is required to…

Optimization and Control · Mathematics 2010-06-02 Konstantin S. Turitsyn

In recent years, the power system research community has seen an explosion of novel methods for formulating and solving power network optimization problems. These emerging methods range from new power flow approximations, which go beyond…

Optimization and Control · Mathematics 2018-03-14 Carleton Coffrin , Russell Bent , Kaarthik Sundar , Yeesian Ng , Miles Lubin

In this paper, we propose a combined Online Feedback Optimization (OFO) and dynamic estimation approach for a real-time power grid operation under time-varying conditions. A dynamic estimation uses grid measurements to generate the…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Miguel Picallo , Dominic Liao-McPherson , Saverio Bolognani , Florian Dörfler

This paper examines the problem of real-time optimization of networked systems and develops online algorithms that steer the system towards the optimal trajectory without explicit knowledge of the system model. The problem is modeled as a…

Optimization and Control · Mathematics 2019-10-01 Yue Chen , Andrey Bernstein , Adithya Devraj , Sean Meyn

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

Optimization and Control · Mathematics 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

Recent endeavors aimed at forecasting future traffic flow states through deep learning encounter various challenges and yield diverse outcomes. A notable obstacle arises from the substantial data requirements of deep learning models, a…

Machine Learning · Computer Science 2024-04-02 Zhaohui Yang , Kshitij Jerath

This paper proposes a hard-constrained unsupervised learning framework for rapidly solving the non-linear and non-convex AC optimal power flow (AC-OPF) problem in real-time operation. Without requiring ground-truth AC-OPF solutions,…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Kejun Chen , Bernard Knueven , Wesley Jones

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

We investigate the distributed DC-Optimal Power Flow (DC-OPF) problem for a dynamic and uncertain environment. The unpredictable supply of renewable resources and varying prices of the electricity market are a few factors responsible for…

Optimization and Control · Mathematics 2023-08-10 Sushobhan Chatterjee , Rachel Kalpana Kalaimani

Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes. By introducing the proposed virtual node-splitting strategy,…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Thuan Pham , Xingpeng Li

Electric vehicle (EV) adoption in long-distance logistics faces challenges such as range anxiety and uneven distribution of charging stations. Two pivotal questions emerge: How can EVs be efficiently routed in a charging network considering…

Data Structures and Algorithms · Computer Science 2023-11-10 Haripriya Pulyassary , Kostas Kollias , Aaron Schild , David Shmoys , Manxi Wu

New generations of power systems, containing high shares of renewable energy resources, require improved data-driven tools which can swiftly adapt to changes in system operation. Many of these tools, such as ones using machine learning,…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Ignasi Ventura Nadal , Samuel Chevalier

DC power flow approximations are ubiquitous in the electricity industry. However, these linear approximations fail to capture important physical aspects of power flow, such as the reactive power and voltage magnitude, which are crucial in…

Optimization and Control · Mathematics 2016-03-16 Sleiman Mhanna , Gregor Verbic , Archie Chapman

This paper presents a quadratic approximation for the optimal power flow in power distributions systems. The proposed approach is based on a linearized load flow which is valid for power distribution systems including three-phase unbalanced…

Optimization and Control · Mathematics 2016-10-05 Alejandro Garces

This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms…

Optimization and Control · Mathematics 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Edward Quarm , Ramtin Madani

The AC power flow equations are fundamental in all aspects of power systems planning and operations. They are routinely solved using Newton-Raphson like methods. However, there is little theoretical understanding of when these algorithms…

Systems and Control · Computer Science 2015-10-09 Krishnamurthy Dvijotham , Michael Chertkov , Steven Low

Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings,…

We examine the modeling, simulation, and optimization of district heating systems, which are widely used for thermal transport using steam or hot water as a carrier. We propose a generalizable framework to specify network models and…

Optimization and Control · Mathematics 2024-04-30 Sai Krishna K. Hari , Anatoly Zlotnik , Shriram Srinivasan , Kaarthik Sundar , Mary Ewers

Optimal Power Flow (OPF) is a very traditional research area within the power systems field that seeks for the optimal operation point of electric power plants, and which needs to be solved every few minutes in real-world scenarios.…

Artificial Intelligence · Computer Science 2025-11-25 Ángela López-Cardona , Guillermo Bernárdez , Pere Barlet-Ros , Albert Cabellos-Aparicio

Optimal power flow (OPF) is an important tool for Independent System Operators (ISOs) to deal with the power generation management. With the increasing penetration of renewable energy into power grids, challenges arise in tackling the OPF…

Optimization and Control · Mathematics 2023-06-27 Jia Yang , Jun Song , Chaoyue Zhao
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