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The bus admittance matrix is central to many power system simulation algorithms, but the link between problem size and computation time (i.e., the time complexity) using modern sparse solvers is not fully understood. It has recently been…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Matthew Deakin , Davis Montenegro

This paper formulates an inverse power flow problem which is to infer a nodal admittance matrix (hence the network structure of a power system) from voltage and current phasors measured at a number of buses. We show that the admittance…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Ye Yuan , Steven Low , Omid Ardakanian , Claire Tomlin

This article presents a distributed model-predictive control (MPC) design for real-time voltage control in power systems, including an online method to estimate the bus admittance matrix $\mathbf{Y}$ to let it be time-varying and unknown a…

Systems and Control · Electrical Eng. & Systems 2023-10-06 Ramij R. Hossain , Ratnesh Kumar

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functions of power systems (e.g., optimal power flow scheduling and…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn

Power flow calculation methods have been developed in decades using power injections and Newton-Raphson method. The nonlinear characteristics of the power flow to the bus voltage require Jacobian matrix reformation and refactorization in…

Signal Processing · Electrical Eng. & Systems 2019-02-25 Renchang Dai , Xiang Zhang , Junjie Shi , Guangyi Liu , Chen Yuan , Zhiwei Wang

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

Most techniques for power system analysis model the grid by exact electrical circuits. For instance, in power flow study, state estimation, and voltage stability assessment, the use of admittance parameters (i.e., the nodal admittance…

Systems and Control · Computer Science 2019-06-17 Andreas Martin Kettner , Mario Paolone

The analysis of the response to driving in the case of weakly chaotic or weakly interacting systems should go beyond linear response theory. Due to the "sparsity" of the perturbation matrix, a resistor network picture of transitions between…

Quantum Physics · Physics 2013-01-22 Doron Cohen

This article presents a new method to compute matrices from numerical simulations based on the ideas of sparse sampling and compressed sensing. The method is useful for problems where the determination of the entries of a matrix constitutes…

Chemical Physics · Physics 2014-10-21 Jacob N. Sanders , Xavier Andrade , Alán Aspuru-Guzik

In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particularly, the utilization…

Numerical Analysis · Mathematics 2024-03-12 Hongyaoxing Gu

Rising electricity demand and the growing integration of renewables are intensifying congestion in transmission grids. Grid topology optimization through busbar splitting (BuS) and optimal transmission switching can alleviate grid…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Giacomo Bastianel , Dirk Van Hertem , Hakan Ergun , Line Roald

Neural information retrieval architectures based on transformers such as BERT are able to significantly improve system effectiveness over traditional sparse models such as BM25. Though highly effective, these neural approaches are very…

Information Retrieval · Computer Science 2022-04-26 Antonio Mallia , Joel Mackenzie , Torsten Suel , Nicola Tonellotto

The biggest cost of computing with large matrices in any modern computer is related to memory latency and bandwidth. The average latency of modern RAM reads is 150 times greater than a clock step of the processor. Throughput is a little…

Data Structures and Algorithms · Computer Science 2013-03-04 Crysttian Arantes Paixão , Flávio Codeço Coelho

The paper proposes a new adaptive approach to power system model reduction for fast and accurate time-domain simulation. This new approach is a compromise between linear model reduction for faster simulation and nonlinear model reduction…

Systems and Control · Computer Science 2017-11-13 Denis Osipov , Kai Sun

Increase in the speed of processors has led to crucial role of communication in the performance of systems. As a result, routing is taken into consideration as one of the most important subjects of the Network on Chip architecture. Routing…

Hardware Architecture · Computer Science 2012-09-18 Saeid Sharifian Nia , Abbas Vafaei , Hamid Shahimohamadi

Typical formulations of the optimal power flow (OPF) problem rely on what is termed the "bus-branch" model, with network electrical behavior summarized in the Ybus admittance matrix. From a circuit perspective, this admittance…

Optimization and Control · Mathematics 2017-06-06 Byungkwon Park , Jayanth Netha , Michael C. Ferris , Christopher L. DeMarco

The increasing penetration of intermittent distributed energy resources in power networks calls for novel planning and control methodologies which hinge on detailed knowledge of the grid. However, reliable information concerning the system…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Emanuele Fabbiani , Pulkit Nahata , Giuseppe De Nicolao , Giancarlo Ferrari-Trecate

Many applications rely on time-intensive matrix operations, such as factorization, which can be sped up significantly for large sparse matrices by interpreting the matrix as a sparse graph and computing a node ordering that minimizes the…

Data Structures and Algorithms · Computer Science 2024-04-25 Lara Ost , Christian Schulz , Darren Strash

In low-voltage distribution networks, the integration of novel energy technologies can be accelerated through advanced optimization-based analytics such as network state estimation and network-constrained dispatch engines for distributed…

Optimization and Control · Mathematics 2023-08-23 Frederik Geth , Rahmat Heidari , Arpan Koirala

In power system dynamic simulation, up to 90% of the computational time is devoted to solve the network equations, i.e., a set of linear equations. Traditional approaches are based on sparse LU factorization, which is inherently sequential.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Lu Zhang , Bin Wang , Vivek Sarin , Weiping Shi , P. R. Kumar , Le Xie
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