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Faced with increasing penetration of distributed energy resources and fast development of distribution grid energy management, topology identification of distribution grid becomes an important and fundamental task. As the underlying grid…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Yueyao Xu , Yize Chen

In this paper, we propose an analytical framework to quantify the amount of data samples needed to obtain accurate state estimation in a power system - a problem known as sample complexity analysis in computer science. Motivated by the…

Optimization and Control · Mathematics 2019-09-20 Joshua Comden , Marcello Colombino , Andrey Bernstein , Zhenhua Liu

The knowledge of distribution grid models, including topologies and line impedances, is essential to grid monitoring, control and protection. However, this information is often unavailable, incomplete or outdated. The increasing deployment…

Signal Processing · Electrical Eng. & Systems 2021-03-02 Yifei Guo , Yuxuan Yuan , Zhaoyu Wang

A new method for stability assessment of inverter-based microgrids is presented in this paper. It leverages the notion of critical clusters -- a localized group of inverters with parameters having the highest impact on the system stability.…

Systems and Control · Electrical Eng. & Systems 2020-07-21 Andrey Gorbunov , Petr Vorobev , Jimmy Chih-Hsien Peng

The power domination problem seeks to determine the minimum number of phasor measurement units (PMUs) needed to monitor an electric power network. We introduce random sensor failure before the power domination process occurs and call this…

Combinatorics · Mathematics 2023-12-20 Beth Bjorkman , Zachary Brennan , Mary Flagg , Johnathan Koch

Metros (heavy rail transit systems) are integral parts of urban transportation systems. Failures in their operations can have serious impacts on urban mobility, and measuring their robustness is therefore critical. Moreover, as physical…

Physics and Society · Physics 2015-05-27 Xiangrong Wang , Yakup Koç , Sybil Derrible , Sk Nasir Ahmad , Robert E. Kooij

Reasonably large perturbations may push a power grid from its stable synchronous state into an undesirable state. Identifying vulnerabilities in power grids by studying power grid stability against such perturbations can aid in preventing…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Calvin Alvares , Soumitro Banerjee

Given a resistive electrical network, we would like to determine whether all the resistances (edges) in the network are working, and if not, identify which edge (or edges) are faulty. To make this determination, we are allowed to measure…

Optimization and Control · Mathematics 2026-02-17 Barbara Fiedorowicz , Amitabh Basu

The transformation of the electrical energy system attracts much attention in diverse research communities. Novel approaches for modeling, control, and power grid architectures are widely proposed. Data from actual power system operation…

Systems and Control · Electrical Eng. & Systems 2021-06-15 Richard Jumar , Heiko Maaß , Benjamin Schäfer , Leonardo Rydin Gorjão , Veit Hagenmeyer

Estimation of sensitivity matrices in electrical transmission systems allows grid operators to evaluate in real-time how changes in power injections reflect into changes in power flows. In this paper, we propose a robust low-rank…

Optimization and Control · Mathematics 2023-09-12 Ana M. Ospina , Emiliano Dall'Anese

Integration of electronics-based residential appliances and distributed energy resources in homes is expected to rise with grid decarbonization. These devices may introduce significant harmonics into power networks that need to be closely…

Signal Processing · Electrical Eng. & Systems 2021-11-08 Ankit Singhal , Dexin Wang , Andrew P. Reiman , Yuan Liu , Donald J. Hammerstrom , Soumya Kundu

Sensors called phasor measurement units (PMUs) are used to monitor the electric power network. The power domination problem seeks to minimize the number of PMUs needed to monitor the network. We extend the power domination problem and…

Combinatorics · Mathematics 2023-05-24 Beth Bjorkman , Esther Conrad

The fundamental frequency is one of the parameters that define power quality. Correctly determining this parameter under the conditions that prevail in modern power grids is crucial. Diagnostic purposes often require an efficient estimation…

Signal Processing · Electrical Eng. & Systems 2026-01-26 Antonio Bracale , Pasquale De Falco , Piotr Kuwałek , Grzegorz Wiczyński

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

Physics and Society · Physics 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

Power grids are undergoing major changes from a few large producers to smart grids build upon renewable energies. Mathematical models for power grid dynamics have to be adapted to capture, when dynamic nodes can achieve synchronization to a…

Dynamical Systems · Mathematics 2018-07-11 Christian Kuehn , Sebastian Throm

Unprecedented dynamic phenomena may appear in power grids due to higher and higher penetration of inverter-based resources (IBR), e.g., wind and solar photovoltaic (PV). A major challenge in dynamic modeling and analysis is that unlike…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Lingling Fan , Zhixin Miao

This paper presents conservative probabilistic bounds for the spectrum of the admittance matrix and classical linear power flow models under uncertain network parameters; for example, probabilistic line contingencies. Our proposed approach…

In this article a topological sensitivity framework for far field detection of a diametrically small electromagnetic inclusion is established. The cases of single and multiple measurements of the electric far field scattering amplitude at a…

Numerical Analysis · Mathematics 2017-03-10 Abdul Wahab , Tasawar Abbas , Naveed Ahmed , Qazi Muhammad Zaigham Zia

A high accuracy and high sensitivity system architecture is proposed for the read-out circuit of electrical impedance tomography system-on-chip. The switched ratiometric technique is applied in the proposed architecture. The proposed system…

Medical Physics · Physics 2018-10-24 Hui Li , Boxiao Liu , Yongfu Li , Guoxing Wang , Yong Lian

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
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