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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…

系统与控制 · 电气工程与系统科学 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn

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…

系统与控制 · 计算机科学 2019-06-17 Andreas Martin Kettner , Mario Paolone

We consider the problem of identifying the admittance matrix of a three-phase radial network from voltage and current measurements at a subset of nodes. These measurements are used to estimate a virtual network represented by the Kron…

系统与控制 · 电气工程与系统科学 2024-03-27 Steven H. Low

Bus admittance matrix is widely used in power engineering for modeling networks. Being highly sparse, it requires fewer CPU operations when used for calculations. Meanwhile, sparse matrix calculations involve numerous indexing and scalar…

系统与控制 · 电气工程与系统科学 2023-02-22 Hantao Cui

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…

系统与控制 · 电气工程与系统科学 2021-09-21 Emanuele Fabbiani , Pulkit Nahata , Giuseppe De Nicolao , Giancarlo Ferrari-Trecate

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…

系统与控制 · 电气工程与系统科学 2023-11-21 Matthew Deakin , Davis Montenegro

This paper focuses on cascading line failures in the transmission system of the power grid. Recent large-scale power outages demonstrated the limitations of percolation- and epid- emic-based tools in modeling cascades. Hence, we study…

系统与控制 · 计算机科学 2014-02-11 Saleh Soltan , Dorian Mazauric , Gil Zussman

In recent years, with the increase in renewable energy and storage penetration, power flow studies in low-voltage networks have become of interest in both industry and academia. Many studies use impedance represented by sequence components…

最优化与控制 · 数学 2025-06-10 Ching Hong Tam , Frederik Geth , Nadarajah Mithulananthan

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

系统与控制 · 电气工程与系统科学 2022-05-03 Kejun Chen , Yu Zhang

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…

系统与控制 · 电气工程与系统科学 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

Part II of this paper elaborates on the unique capability of the proposed power flow analysis framework to obtain the true solution corresponding to the stable operating point of a network. It explains the significance of obtaining the true…

系统与控制 · 计算机科学 2016-09-06 Sina S. Baghsorkhi , Sergey P. Suetin

This letter provides conditions determining the rank of the nodal admittance matrix, and arbitrary block partitions of it, for connected AC power networks with complex admittances. Furthermore, some implications of these properties…

系统与控制 · 计算机科学 2017-12-27 Andreas Martin Kettner , Mario Paolone

To perform any meaningful optimization task, power distribution operators need to know the topology and line impedances of their electric networks. Nevertheless, distribution grids currently lack a comprehensive metering infrastructure.…

最优化与控制 · 数学 2018-06-12 Guido Cavraro , Vassilis Kekatos

We study the inverse problem of determining the conductivity matrix of an electrical network from the prescribed knowledge of the magnitude of the induced current along the edges coupled with the imposed voltage or injected current on the…

偏微分方程分析 · 数学 2018-10-16 Christina Knox , Amir Moradifam

The admittance matrix encodes the network topology and electrical parameters of a power system in order to relate the current injection and voltage phasors. Since admittance matrices are central to many power engineering analyses, their…

最优化与控制 · 数学 2026-01-21 Daniel Turizo , Daniel K. Molzahn

The method of flow tracing follows the power flow from net-generating sources through the network to the net-consuming sinks, which allows to assign the usage of the underlying transmission infrastructure to the system participants. This…

物理与社会 · 物理学 2017-11-09 Jonas Hörsch , Mirko Schäfer , Sarah Becker , Stefan Schramm , Martin Greiner

Assuming access to synchronized stream of Phasor Measurement Unit (PMU) data over a significant portion of a power system interconnect, say controlled by an Independent System Operator (ISO), what can you extract about past, current and…

数据分析、统计与概率 · 物理学 2020-09-25 Mauro Escobar , Daniel Bienstock , Michael Chertkov

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…

量子物理 · 物理学 2023-07-25 Ekin Erdem Aygül , Melih Can Topal , Ufuk Korkmaz , Deniz Türkpençe

Potential vulnerabilities in a power grid can be exposed by identifying those transmission lines on which attacks (in the form of interference with their transmission capabilities) causes maximum disruption to the grid. In this study, we…

最优化与控制 · 数学 2015-03-10 Taedong Kim , Stephen J. Wright , Daniel Bienstock , Sean Harnett

We show that the problem of recovering the topology and admittance of an electrical network from power and voltage data at all vertices is often ill-posed, and sometimes it even has multiple solutions. We reformulate the problem to seek for…

最优化与控制 · 数学 2026-01-19 Álvaro Samperio
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