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In this paper we consider a possibility of stabilizing very fast electromagnetic interactions between Inverter Based Resources (IBRs), known as the Control Induced System Stability problems. We propose that when these oscillatory…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Riley Lawson , Marija Ilic

Integration of Inverter Based Resources (IBRs) which lack the intrinsic characteristics such as the inertial response of the traditional synchronous-generator (SG) based sources presents a new challenge in the form of analyzing the grid…

Optimization and Control · Mathematics 2024-07-31 Satish Vedula , Ayobami Olajube , Olugbenga Anubi

Quantifying the eigenvalue spectra of large random matrices allows one to understand the factors that contribute to the stability of dynamical systems with many interacting components. This work explores the effect that the interaction…

Disordered Systems and Neural Networks · Physics 2022-12-08 Joseph W. Baron

In this paper we lay special stress on analyzing the topological properties of the lattice systems and try to ovoid the conventional ways to calculate the critical points. Only those clusters with finite sizes can execute the self similar…

General Physics · Physics 2009-12-16 You-Gang Feng

Grid-interfacing inverters allow renewable resources to be connected to the electric grid and offer fast and programmable control responses. However, inverters are subject to significant physical constraints. One such constraint is a…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Trager Joswig-Jones , Baosen Zhang

We investigate how in complex systems the eigenpairs of the matrices derived from the correlations of multichannel observations reflect the cluster structure of the underlying networks. For this we use daily return data from the NYSE and…

Physics and Society · Physics 2009-11-13 Tapio Heimo , Gergely Tibely , Jari Saramaki , Kimmo Kaski , Janos Kertesz

We propose a new methodology based on modularity clustering of synchronization coefficient, to identify coherent groups of generators in the power grid in real-time. The method uses real-time integrity indices, i.e., the Generators…

Signal Processing · Electrical Eng. & Systems 2018-09-12 Hamzeh Davarikia , Masoud Barati , Faycal Znidi , Kamran Iqbal

We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. The subject of this paper is developing the theory of output-input…

Optimization and Control · Mathematics 2007-05-23 Daniel Liberzon

How a system initially at infinite temperature responds when suddenly placed at finite temperatures is a way to check the existence of phase transitions. It has been shown in [R. da Silva, IJMPC 2023] that phase transitions are imprinted in…

The modern power grid features the high penetration of power converters, which widely employ a phase-locked loop (PLL) for grid synchronization. However, it has been pointed out that PLL can give rise to small-signal instabilities under…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Chaoran Yang , Linbin Huang , Huanhai Xin , Ping Ju

An input-output approach to stability analysis is explored for networked systems with uncertain link dynamics. The main result consists of a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Simone Mariano , Michael Cantoni

The deployment of PV inverters is rapidly expanding across Europe, where these devices must increasingly comply with stringent grid requirements.This study presents a benchmark analysis of four PV inverter manufacturers, focusing on their…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Carina Lehmal , Ziqian Zhang , Robert Schürhuber

Distribution grids currently lack comprehensive real-time metering. Nevertheless, grid operators require precise knowledge of loads and renewable generation to accomplish any feeder optimization task. At the same time, new grid…

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

Motter et al. derived a real-valued master stability function which determines whether and to what degree a given power grid is asymptotically stable. Stright and Edrington adopted certain uniformity assumptions on a grid's components and…

Systems and Control · Electrical Eng. & Systems 2019-06-14 James Stright , Chris Edrington

Constant-power loads are notoriously known to destabilise power systems, such as DC microgrids, due to their negative incremental impedance. This paper equips distributed generation units with decentralised L1 adaptive controllers at the…

Systems and Control · Computer Science 2018-04-12 Daniel O'Keeffe , Stefano Riverso , Laura Albiol-Tendillo , Gordon Lightbody

This paper presents a novel grid-forming voltage control strategy for a battery energy storage system to maintain balanced three-phase output voltages when serving unbalanced loads. A stationary reference frame ($\alpha \beta$) based…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Bei Xu , Victor Paduani , Hui Yu , David Lubkeman , Ning Lu

Real-world systems in epidemiology, social sciences, power transportation, economics and engineering are often described as multilayer networks. Here we first define and compute the symmetries of multilayer networks, and then study the…

Chaotic Dynamics · Physics 2020-07-29 F. Della Rossa , L. Pecora , K. Blaha , A. Shirin , I. Klickstein , F. Sorrentino

Impedance measurements have been widely used with the Nyquist plot to estimate the stability of interconnected power systems. Being a black-box method for equivalent and aggregated impedance estimation, its use for the identification of…

Systems and Control · Computer Science 2017-04-18 Mohammad Amin , Marta Molinas

In the event of large disturbances, the practice of controlled islanding is used as a last resort to prevent cascading outages. The application of the strategy at the right time is crucial to maintaining system security. A controlled…

Systems and Control · Electrical Eng. & Systems 2023-03-29 Hamzeh Davarikia , Faycal Znidi , Masoud Barati , Heena Rathore

As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

Optimization and Control · Mathematics 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora