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Modern society critically depends on the services electric power provides. Power systems rely on a network of power lines and transformers to deliver power from sources of power (generators) to the consumers (loads). However, when power…

Systems and Control · Computer Science 2015-07-21 Karsten Lehmann , Russell Bent , Feng Pan

Identifying the multiple critical components in power systems whose absence together has severe impact on system performance is a crucial problem for power systems known as (N-x) contingency analysis. However, the inherent combinatorial…

Optimization and Control · Mathematics 2020-07-15 Mohammad Rasoul Narimani , Hao Huang , Amarachi Umunnakwe , Zeyu Mao , Abhijeet Sahu , Saman Zonouz , Kate Davis

This two-part work puts forth the idea of engaging power electronics to probe an electric grid to infer non-metered loads. Probing can be accomplished by commanding inverters to perturb their power injections and record the induced voltage…

Optimization and Control · Mathematics 2019-03-21 Siddharth Bhela , Vassilis Kekatos , Sriharsha Veeramachaneni

This article explores the effects of a single bus perturbation in the electrical grid using a Graph Signal Processing (GSP) perspective. The perturbation is characterized by a sudden change in real-power load demand or generation. The study…

Systems and Control · Electrical Eng. & Systems 2023-06-07 Md Abul Hasnat , Mia Naeini

Power electronics systems are increasingly exposed to cyber threats due to their integration with digital controllers and communication networks. However, an attacker-oriented metric is still lacking to quantify the extent to which a node…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Hongwei Zhen , Ze Yu , Xin Xiang , Wuhua Li , Mingyang Sun

80% of all Renewable Energy Power in Germany is installed in tree-like distribution grids. Intermittent power fluctuations from such sources introduce new dynamics into the lower grid layers. At the same time, distributed resources will…

Physics and Society · Physics 2017-10-11 Sabine Auer , Frank Hellmann , Marie Krause , Jürgen Kurths

Grid-forming (GFM) converters are generally expected to exhibit low impedance near the fundamental frequency due to their voltage-source behavior. However, an impedance peak and a negative-resistance region are consistently observed in this…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Chao Wu , Jinhao Wang , Yong Wang , Changjiang Zhan , Frede Blaabjerg

Line outage identification in distribution grids is essential for sustainable grid operation. In this work, we propose a practical yet robust detection approach that utilizes only readily available voltage magnitudes, eliminating the need…

Machine Learning · Computer Science 2024-09-21 Chenhan Xiao , Yizheng Liao , Yang Weng

The transient response of power grids to external disturbances influences their stable operation. This paper studies the effect of topology in linear time-invariant dynamics of different power grids. For a variety of objective functions, a…

Systems and Control · Computer Science 2017-03-03 Deepjyoti Deka , Harsha Nagarajan , Scott Backhaus

This paper provides the analysis for functional approaches of complex network systems research. In order to study the behavior of these systems the flow adjacency matrices were introduced. The concepts of strength, power, domain and…

Physics and Society · Physics 2019-07-26 Olexandr Polishchuk

A statistical model of interference in wireless networks is considered, which is based on the traditional propagation channel model and a Poisson model of random spatial distribution of nodes in 1-D, 2-D and 3-D spaces with both uniform and…

Information Theory · Computer Science 2009-06-01 Vladimir Mordachev , Sergey Loyka

This overview presents a collection of results from classical electrical network theory concerning properties of the network admittance matrix, and the relationship between electrical characteristics of the network and various mathematical…

History and Overview · Mathematics 2025-07-22 Anthony B. Morton

As inverter-based generation is being massively deployed in the grid, these type of units have to take over the current roles of conventional generation, including the capability of restoring the grid. In this context, the resonances of the…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Adolfo Anta , Diego Cifelli

Voltage unbalance, caused by variations in voltage magnitude and phase angle, is a significant power quality issue in three-phase systems, leading to equipment inefficiencies and increased system losses. The integration of distributed…

Systems and Control · Electrical Eng. & Systems 2025-05-30 Alireza Zabihi , Luis Badesa , Araceli Hernandez

Efficient control of power systems is becoming increasingly difficult as they gain in complexity and size. We propose an automatic control strategy that regulates the mechanical power output of the generators in a power grid based on…

Systems and Control · Computer Science 2014-10-09 Andrej Gajduk , Mirko Todorovski , Ljupco Kocarev

Knowledge of power grid's topology during cascading failure is an essential element of centralized blackout prevention control, given that multiple islands are typically formed, as a cascade progresses. Moreover, academic research on…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Sai Gopal Vennelaganti , Nilanjan Ray Chaudhuri , Ting He , Thomas La Porta

Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay of network structures and the local dynamics of synchronous…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Philipp C. Böttcher , Dirk Witthaut , Leonardo Rydin Gorjão

We introduce the concept of natural connectivity as a robustness measure of complex networks. The natural connectivity has a clear physical meaning and a simple mathematical formulation. It characterizes the redundancy of alternative paths…

Statistical Mechanics · Physics 2008-02-20 Jun Wu , Yue-Jin Tan , Hong-Zhong Deng , Yong Li , Bin Liu , Xin Lv

In this paper, we study the robustness of interdependent networks, in which the state of one network depends on the state of the other network and vice versa. In particular, we focus on the interdependency between the power grid and…

Optimization and Control · Mathematics 2014-07-11 Marzieh Parandehgheibi , Eytan Modiano

Online decision support for effective mitigation actions against propagating cascading outages in a power grid still poses a big challenge to grid operators. This paper proposes an online mitigation strategy against cascading outages using…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Changsheng Chen , Wenyun Ju , Kai Sun , Shiying Ma