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Power flow analysis plays a fundamental and critical role in the energy management system (EMS). It is required to well accommodate large and complex power system. To achieve a high performance and accurate power flow analysis, a graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-20 Chen Yuan , Yi Lu , Wei Feng , Guangyi Liu , Renchang Dai , Yachen Tang , Zhiwei Wang

Certifying power flow solvability is important for reliable power system operations under volatile operating conditions, but solving power flow equations repeatedly can be costly and may encounter convergence issues. In this paper, we…

Optimization and Control · Mathematics 2026-05-26 Puskar Neupane , Bai Cui

A big challenge in branch and bound lies in identifying the optimal node within the search tree from which to proceed. Current state-of-the-art selectors utilize either hand-crafted ensembles that automatically switch between naive sub-node…

Machine Learning · Computer Science 2024-06-06 Alexander Mattick , Christopher Mutschler

This paper proposes an analytical voltage estimation method for the power packet dispatching network. A unit power packet consists of signals and DC pulsed voltage waveform. In the network, power packets are transmitted among power packet…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Shinji Katayama , Takashi Hikihara

Solving power flow (PF) equations is the basis of power flow analysis, which is important in determining the best operation of existing systems, performing security analysis, etc. However, PF equations can be out-of-date or even unavailable…

Machine Learning · Computer Science 2021-01-07 Xinyue Hu , Haoji Hu , Saurabh Verma , Zhi-Li Zhang

Robust simulation is essential for reliable operation and planning of transmission and distribution power grids. At present, disparate methods exist for steady-state analysis of the transmission (power flow) and distribution power grid…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Amritanshu Pandey , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Gabriela Hug , Larry Pileggi

For power grid operations, a large body of research focuses on using generation redispatching, load shedding or demand side management flexibilities. However, a less costly and potentially more flexible option would be grid topology…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Antoine Marot , Benjamin Donnot , Camilo Romero , Luca Veyrin-Forrer , Marvin Lerousseau , Balthazar Donon , Isabelle Guyon

Recurrence networks are a novel tool of nonlinear time series analysis allowing the characterisation of higher-order geometric properties of complex dynamical systems based on recurrences in phase space, which are a fundamental concept in…

Chaotic Dynamics · Physics 2016-04-07 Y. Zou , J. Heitzig , R. V. Donner , J. F. Donges , J. D. Farmer , R. Meucci , S. Euzzor , N. Marwan , J. Kurths

The model-based power allocation algorithm has been investigated for decades, but it requires the mathematical models to be analytically tractable and it usually has high computational complexity. Recently, the data-driven model-free…

Information Theory · Computer Science 2019-01-23 Fan Meng , Peng Chen , Lenan Wu , Julian Cheng

With the increasing penetration of distributed energy resources, distributed optimization algorithms have attracted significant attention for power systems applications due to their potential for superior scalability, privacy, and…

Systems and Control · Electrical Eng. & Systems 2022-05-09 Sihan Zeng , Alyssa Kody , Youngdae Kim , Kibaek Kim , Daniel K. Molzahn

We investigate the geometry of injection regions and its relationship to optimization of power flows in tree networks. The injection region is the set of all vectors of bus power injections that satisfy the network and operation…

Optimization and Control · Mathematics 2016-11-17 Javad Lavaei , David Tse , Baosen Zhang

The power law is useful in describing count phenomena such as network degrees and word frequencies. With a single parameter, it captures the main feature that the frequencies are linear on the log-log scale. Nevertheless, there have been…

Applications · Statistics 2024-07-24 Clement Lee , Emma Eastoe , Aiden Farrell

We investigate the electrical current and flow (number of parallel paths) between two sets of n sources and n sinks in complex networks. We derive analytical formulas for the average current and flow as a function of n. We show that for…

Discrete Mathematics · Computer Science 2008-11-17 Shai Carmi , Zhenhua Wu , Shlomo Havlin , H. Eugene Stanley

As Network-on-Chip (NoC) and Wireless Sensor Network architectures continue to scale, the topology of the underlying network becomes a critical factor in performance. Gaussian Interconnected Networks based on the arithmetic of Gaussian…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-24 Mohammad Walid Charrwi , Zaid Hussain

We study the flow-level performance of random wireless networks. The locations of base stations (BSs) follow a Poisson point process. The number and positions of active users are dynamic. We associate a queue to each BS. The performance and…

Information Theory · Computer Science 2013-08-23 Richard Combes , Eitan Altman

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

Balanced steady operation state in power networks changes over time. Traditional power flow algorithm is focused on the steady operation state under a certain time point and calculates the corresponding voltage and power distributions for…

Optimization and Control · Mathematics 2020-01-24 Zongjie Wang , C. Lindsay Anderson

Optimizing radio transmission power and user data rates in wireless systems via power control requires an accurate and instantaneous knowledge of the system model. While this problem has been extensively studied in the literature, an…

Optimization and Control · Mathematics 2016-11-22 Euhanna Ghadimi , Francesco Davide Calabrese , Gunnar Peters , Pablo Soldati

Significant progress in the construction of physical hardware for quantum computers has necessitated the development of new algorithms or protocols for the application of real-world problems on quantum computers. One of these problems is…

Quantum Physics · Physics 2023-07-25 Ekin Erdem Aygül , Melih Can Topal , Ufuk Korkmaz , Deniz Türkpençe

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim
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