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Network systems consist of subsystems and their interconnections, and provide a powerful framework for analysis, modeling and control of complex systems. However, subsystems may have high-dimensional dynamics, and the amount and nature of…

最优化与控制 · 数学 2020-12-07 Xiaodong Cheng , Jacquelien M. A. Scherpen

In this paper, we quantify voltage and current phasor-based measurement requirements for the unique estimation of the electric grid topology and admittance parameters. Our approach is underpinned by the concept of a rigidity matrix that has…

系统与控制 · 电气工程与系统科学 2025-02-18 Norak Rin , Iman Shames , Ian R. Petersen , Elizabeth L. Ratnam

The large size of multiscale, distribution and transmission, power grids hinder fast system-wide estimation and real-time control and optimization of operations. This paper studies graph reduction methods of power grids that are favorable…

系统与控制 · 计算机科学 2018-10-05 Colin Grudzien , Deepjyoti Deka , Michael Chertkov , Scott N Backhaus

In structured system theory, a pattern matrix is a matrix with entries either fixed to zero or free to take arbitrary numbers. The (generic) rank of a pattern matrix is the rank of almost all its realizations. The resilience of various…

信息论 · 计算机科学 2024-11-19 Yuan Zhang , Yuanqing Xia , Gang Wang

This paper investigates the impact of Kron reduction on the performance of numerical methods applied to the analysis of unbalanced polyphase power systems. Specifically, this paper focuses on power-flow study, state estimation, and voltage…

系统与控制 · 电气工程与系统科学 2019-07-17 Andreas Martin Kettner , Mario Paolone

The statistical tools of Complex Network Analysis are of great use to understand salient properties of complex systems, may these be natural or pertaining human engineered infrastructures. One of these that is receiving growing attention…

物理与社会 · 物理学 2015-03-19 Giuliano Andrea Pagani , Marco Aiello

We consider a network-preserved model of power networks with proper algebraic constraints resulting from constant power loads. Both for the linear and the nonlinear differential algebraic model of the network, we derive explicit reduced…

系统与控制 · 计算机科学 2016-09-16 Nima Monshizadeh , Claudio De Persis , Arjan J. van der Schaft , Jacquelien M. A. Scherpen

The integration of more renewable energy sources into the power system is presenting system operators with various challenges. At the distribution system level, voltage magnitudes that violate operating limits near large photovoltaic…

最优化与控制 · 数学 2022-01-05 Sandro Merkli , Roy S. Smith

The problem of controlling complex networks is of interest to disciplines ranging from biology to swarm robotics. However, controllability can be too strict a condition, failing to capture a range of desirable behaviors. Herdability, which…

系统与控制 · 计算机科学 2018-05-01 Sebastian F. Ruf , Magnus Egersted , Jeff S. Shamma

Recent years have witnessed significant interest in convex relaxations of the power flows, several papers showing that the second-order cone relaxation is tight for tree networks under various conditions on loads or voltages. This paper…

计算复杂性 · 计算机科学 2014-10-31 Karsten Lehmann , Alban Grastien , Pascal Van Hentenryck

A multimodal network encodes relationships between the same set of nodes in multiple settings, and network alignment is a powerful tool for transferring information and insight between a pair of networks. We propose a method for multimodal…

社会与信息网络 · 计算机科学 2017-03-31 Huda Nassar , David F. Gleich

The Kron reduction is used in power grid modeling when the analysis can -- supposedly -- be restricted to a subset of nodes. Typically, when one is interested in the phases' dynamics, it is common to reduce the load buses and focus on the…

动力系统 · 数学 2026-01-27 Laurent Pagnier , Robin Delabays , Melvyn Tyloo

We study the structural characteristics of complex networks using the representative eigenvectors of the adjacent matrix. The probability distribution function of the components of the representative eigenvectors are proposed to describe…

物理与社会 · 物理学 2015-05-30 Guimei Zhu , Huijie Yang , Chuanyang Yin , Baowen Li

Recently, we proposed a capacity expansion approach for transmission grids that combines the upgrade of transmission capacity with a transition in system structure to improve grid operation. The key to this concept is a particular hybrid…

最优化与控制 · 数学 2018-11-27 Matthias Hotz , Wolfgang Utschick

A fundamental requirement to develop routing strategies in power line networks is the knowledge of the network topology, which might not be complete. In this work, we present a novel method to derive the topology of a distribution network…

其他计算机科学 · 计算机科学 2016-11-11 Federico Passerini , Andrea M. Tonello

The matrices of spanning rooted forests are studied as a tool for analysing the structure of networks and measuring their properties. The problems of revealing the basic bicomponents, measuring vertex proximity, and ranking from preference…

组合数学 · 数学 2013-05-29 Pavel Chebotarev , Rafig Agaev

This paper leverages linear systems theory to propose a principled measure of complexity for network systems. We focus on a network of first-order scalar linear systems interconnected through a directed graph. By locally filtering out the…

系统与控制 · 电气工程与系统科学 2025-07-10 Giacomo Baggio , Marco Fabris

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

系统与控制 · 计算机科学 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

A good deal of current research in complex networks involves the characterization and/or classification of the topological properties of given structures, which has motivated several respective measurements. This letter proposes a framework…

物理与社会 · 物理学 2016-07-26 Cesar H. Comin , Filipi N. Silva , Luciano da F. Costa

We establish sufficient conditions for nodal price response matrix in electric power system to be symmetric and negative (semi-)definite. The results are applicable for electricity markets with nonlinear and intertemporal constraints.

最优化与控制 · 数学 2015-10-05 Vadim Borokhov