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Grid-following and grid-forming inverters are integral components of microgrids and for integration of renewable energy sources with the grid. For grid following inverters, which need to emulate controllable current sources, a significant…

Systems and Control · Electrical Eng. & Systems 2022-07-07 Soham Chakraborty , Sourav Patel , Murti V Salapaka

Integration of renewable energy resources with the electric grid is necessary for a sustainable energy future. However, increased penetration of inverter based resources (IBRs) reduce grid inertia, which might then compromise power system…

Systems and Control · Electrical Eng. & Systems 2020-08-18 Hashem Albhrani , Reetam Sen Biswas , Anamitra Pal

Microgrids have been identified as key components of modern electrical systems to facilitate the integration of renewable distributed generation units. Their analysis and controller design requires the development of advanced (typically…

Systems and Control · Computer Science 2016-05-18 Johannes Schiffer , Daniele Zonetti , Romeo Ortega , Aleksandar Stankovic , Tevfik Sezi , Joerg Raisch

Virtual synchronous machines are inverters with a control algorithm that causes them to behave towards the power grid like synchronous generators. A popular way to realize such inverters are synchronverters. Their control algorithm has…

Optimization and Control · Mathematics 2021-07-02 Pietro Lorenzetti , Zeev Kustanovich , Shivprasad Shivratri , George Weiss

This study proposes a control strategy to ensure the safe operation of modern power systems with high penetration of inverter-based resources (IBRs) within an optimal operation framework. The objective is to obtain operating points that…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Francesca Rossi , Juan Carlos Olives-Camps , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

With the rapid adoption of emerging inverter-based resources, it is crucial to understand their dynamic interactions across the network and ensure stability. This paper proposes a systematic and efficient method to determine the optimal…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Sushobhan Chatterjee , Sijia Geng

As the amount of volatile, renewable energy sources in power distribution grids is increasing, the stability of the latter is a vital aspect for grid operators. Within the STABEEL project, the authors develop rules on how to parametrize the…

Systems and Control · Electrical Eng. & Systems 2022-10-03 Sebastian Krahmer , Stefan Ecklebe , Peter Schegner , Klaus Röbenack

This paper deals with distributed control of microgrids composed of storages, generators, renewable energy sources, critical and controllable loads. We consider a stochastic formulation of the optimal control problem associated to the…

Optimization and Control · Mathematics 2021-06-16 Andrea Camisa , Giuseppe Notarstefano

The quantification of controllability and observability has recently received new interest in the context of large, complex networks of dynamical systems. A fundamental but computationally difficult problem is the placement or selection of…

Optimization and Control · Mathematics 2016-11-15 Fabrizio L. Cortesi , Tyler H. Summers , John Lygeros

The goal of this paper is to analyze an intriguing phenomenon recently discovered in deep networks, namely their instability to adversarial perturbations (Szegedy et. al., 2014). We provide a theoretical framework for analyzing the…

Machine Learning · Computer Science 2016-03-30 Alhussein Fawzi , Omar Fawzi , Pascal Frossard

We construct a correlation matrix based financial network for a set of New York Stock Exchange (NYSE) traded stocks with stocks corresponding to nodes and the links between them added one after the other, according to the strength of the…

Physics and Society · Physics 2007-05-23 G. Tibely , J. -P. Onnela , J. Saramaki , K. Kaski , J. Kertesz

The increasing adoption of power electronic devices may lead to large disturbance and destabilization of future power systems. However, stability criteria are still an unsolved puzzle, since traditional small-signal stability analysis is…

Systems and Control · Electrical Eng. & Systems 2020-05-27 Fangyuan Chang , Xiaofan Cui , Mengqi Wang , Wencong Su , Alex Q. Huang

We study discrete time linear constrained switching systems with additive disturbances, in which the switching may be on the system matrices, the disturbance sets, the state constraint sets or a combination of the above. In our general…

Systems and Control · Computer Science 2017-02-03 Nikolaos Athanasopoulos , Konstantinos Smpoukis , Raphael M. Jungers

In contact-rich tasks, setting the stiffness of the control system is a critical factor in its performance. Although the setting range can be extended by making the stiffness matrix asymmetric, its stability has not been proven. This study…

Robotics · Computer Science 2026-03-19 Toshiaki Tsuji , Yasuhiro Kato

The global transition from traditional power plants to renewable energy sources introduces new challenges in grid stability, primarily because inverter-based technologies provide insufficient inertia. To address this, we introduce an…

Physics and Society · Physics 2026-01-06 Sangjoon Park , Hoyun Choi , Yongsun Lee , Seungchan Jo , Jürgen Kurths , B. Kahng

The increasing penetration of inverter-based resources (IBRs) is fundamentally reshaping power system dynamics and creating new challenges for stability assessment. Data-driven approaches, and in particular machine learning models, require…

This brief examines the behavior of DC circuits comprised of resistively interconnected constant power devices, as may arise in DC microgrids containing micro-sources and constant power loads. We derive a sufficient condition for all…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

We investigate the stability properties of a multi-converter power system model, defined on a high-order manifold. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC…

Optimization and Control · Mathematics 2022-01-27 Taouba Jouini , Zhiyong Sun

The shift from traditional synchronous generator (SG) based power generation to generation driven by power electronic devices introduces new dynamic phenomena and considerations for the control of large-scale power systems. In this paper,…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Matt Baughman , Marena Trujillo , Bri-Mathias Hodge , Emily Jensen

We consider the Gierer-Meinhardt system with small inhibitor diffusivity and very small activator diffusivity in a bounded and smooth two-dimensional domain. For any given positive integer $k$ we construct a spike cluster consisting of $k$…

Analysis of PDEs · Mathematics 2017-05-24 Weiwei Ao , Juncheng Wei , Matthias Winter
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