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This paper presents a decentralized frequency-domain framework to characterize the influence of the operating point on the small-signal stability of converter-dominated power systems. The approach builds on Scaled Relative Graph (SRG)…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Eder Baron-Prada , Adolfo Anta , Florian Dörfler

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 investigate the theoretical impedance equations for several near-field antenna positions. In the standard model one computes the currents at the antennas for given voltages using the impedance matrix of the antennas, which is only…

Signal Processing · Electrical Eng. & Systems 2024-07-11 Peter Krämer , Christian Schindelhauer

This paper develops the preconditioning technique as a method to address the accuracy issue caused by ill-conditioning. Given a preconditioner $M$ for an ill-conditioned linear system $Ax=b$, we show that, if the inverse of the…

Numerical Analysis · Mathematics 2017-05-15 Qiang Ye

In this paper, we propose an energy-based method for the transient stability analysis of a power system transmission switching event. In this method the exit point of pseudo-fault trajectory is used to determine a relevant controlling…

Signal Processing · Electrical Eng. & Systems 2018-02-14 Robert Owusu-Mireku , Hsiao-Dong Chiang

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

Optimization and Control · Mathematics 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

We study the problem of system identification for stochastic continuous-time dynamics, based on a single finite-length state trajectory. We present a method for estimating the possibly unstable open-loop matrix by employing properly…

Machine Learning · Statistics 2025-09-30 Reza Sadeghi Hafshejani , Mohamad Kazem Shirani Fradonbeh

We develop an eigenvalue-based approach for the stability assessment and stabilization of linear systems with multiple delays and periodic coefficient matrices. Delays and period are assumed commensurate numbers, such that the Floquet…

Numerical Analysis · Mathematics 2020-11-03 Wim Michiels , Luca Fenzi

The sampling rate of input and output signals is known to play a critical role in the identification and control of dynamical systems. For slow-sampled continuous-time systems that do not satisfy the Nyquist-Shannon sampling condition for…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Rodrigo A. González , Max van Haren , Tom Oomen , Cristian R. Rojas

Installation of phasor measurement units (PMUs) in a number of substations in the power grid can help assess a set of its values and parameters, in particular those related to the dynamics when disturbances occur in the system. Inertia…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Mohammadali Hayerikhiyavi , Aleksandar Dimitrovski

In this study, the open-circuit faults diagnosis and location issue of the neutral-point-clamped (NPC) inverters are analysed. A novel fault diagnosis approach based on knowledge driven and data driven was presented for the open-circuit…

Machine Learning · Computer Science 2022-11-01 Lei Kou , Chuang Liu , Guo-wei Cai , Jia-ning Zhou , Quan-de Yuan , Si-miao Pang

This article details a complete procedure to derive a data-driven small-signal-based model useful to perform converter-based power system related studies. To compute the model, Decision Tree (DT) regression, both using single DT and…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Francesca Rossi , Eduardo Prieto-Araujo , Marc Cheah-Mane , Oriol Gomis-Bellmunt

This paper presents novel methods for parameter identification in electrical grids with small numbers of spatially distributed measuring devices, which is an issue for distribution system operators managing aged and not properly mapped…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Steven de Jongh , Felicitas Mueller , Claudio Cañizares , Thomas Leibfried , Kankar Bhattacharya

Conventional sub-Nyquist sampling methods for analog signals exploit prior information about the spectral support. In this paper, we consider the challenging problem of blind sub-Nyquist sampling of multiband signals, whose unknown…

Information Theory · Computer Science 2015-05-13 Moshe Mishali , Yonina C. Eldar

Relaxed conditions are given for stability of a feedback system consisting of an exponentially stable multi-input multi-output nonlinear plant and an integral controller. Roughly speaking, it is shown that if the composition of the plant…

Optimization and Control · Mathematics 2020-08-24 John W. Simpson-Porco

One of the popular impedance-network converters are Y-source converters which along with their essential characteristics such as reducing the size of converter components, single-stage power transferring, fault tolerance, and wide voltage…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Shirin Besati , Somasundaram Essakiappan , Madhav Manjrekar

In this note we study contractivity of monotone systems and exponential convergence of positive systems using non-Euclidean norms. We first introduce the notion of conic matrix measure as a framework to study stability of monotone and…

Optimization and Control · Mathematics 2022-08-23 Saber Jafarpour , Alexander Davydov , Francesco Bullo

In this paper, a novel approach based on robust stability concepts and tools is introduced to evaluate the unconditional stability of microwave active $\textit{n}$-port devices. An efficient calculation of the Structured Singular Value of…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Aimar Mateo , Ibone Lizarraga , Jorge Terrer , Aitziber Anakabe , J. M Collantes

Power systems are getting more complex than ever and are consequently operating close to their limit of stability. Moreover, with the increasing demand of renewable wind generation, and the requirement to maintain a secure power system, the…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Umair Shahzad

We consider the problem of quantifying and assessing the steady-state voltage stability in radial distribution networks. Our approach to the voltage stability problem is based on a local, approximate, and yet highly accurate…

Optimization and Control · Mathematics 2019-07-05 Liviu Aolaritei , Saverio Bolognani , Florian Dörfler