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Modern power systems increasingly rely on power electronic converters, yet many of these devices are provided as black-box models, limiting the applicability of conventional small-signal analysis (SSA) tools. This work presents a unified…

DC microgrids are becoming popular as effective means to integrate various renewable energy resources. Constant power loads (CPLs) may yield instability due to the negative impedance characteristic. This paper analyzes the stability of the…

Systems and Control · Computer Science 2018-04-24 Zhangjie Liu , Mei Su , Yao Sun , Hua Han , Xiaochao Hou , Josep M. Guerrero

Dynamic security analysis is an important problem of power systems on ensuring safe operation and stable power supply even when certain faults occur. No matter such faults are caused by vulnerabilities of system components, physical…

Systems and Control · Computer Science 2018-11-09 Qiang Wu , T. John Koo , Yoshihiko Susuki

Modern power system is undergoing a paradigm shift from the synchronous generators-based system to the power electronics converters-dominated system. With the high penetration of converters, serious stability problems are provoked,…

Applied Physics · Physics 2022-03-02 Haoxiang Zong , Chen Zhang , Xu Cai , Marta Molinas

The paper presents a theoretical study on small-signal stability and damping in bulk power systems with multiple grid-forming inverter-based storage resources. A detailed analysis is presented, characterizing the impacts of inverter droop…

Systems and Control · Electrical Eng. & Systems 2024-09-06 Kaustav Chatterjee , Ramij Raja Hossain , Sai Pushpak Nandanoori , Soumya Kundu , Subhrajit Sinha , Diane Baldwin , Ronald Melton

Dynamic Mode Decomposition (DMD) is a data-driven method for approximating the spatiotemporal modes of a system. The eigenvectors and eigenvalues of the system are approximated from a series of time-snapshots of the state variables. The…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 William Bennett , Ryan G. McClarren , Ethan Smith , Melek Derman

Dynamic state estimation (DSE) is becoming increasingly important for monitoring inverter-dominated power systems. Due to their cascading control structures, inverter-based resources (IBRs) exhibit multi-timescale dynamics, leading to stiff…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Xingyu Zhao , Marcos Netto , Junbo Zhao

Circuits' and in particular DC/DC converters' switching behavior is analyzed in this paper using the equivalent control modeling of the dynamic systems' sliding mode regime. As a representative example and also being one of the most complex…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Aleksandra Lekić , Dušan Stipanović

This work presents (i) a framework for certifying small-signal frequency stability of a power system with line dynamics and heterogeneous bus dynamics, (ii) a novel reduced-order model of damper windings in synchronous machines, and (iii) a…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Dahlia Saba , Dominic Groß

Ensuring the reliability of power electronic converters is a matter of great importance, and data-driven condition monitoring techniques are cementing themselves as an important tool for this purpose. However, translating methods that work…

Machine Learning · Computer Science 2024-02-28 Pere Izquierdo Gomez , Miguel E. Lopez Gajardo , Nenad Mijatovic , Tomislav Dragicevic

Presented is an algorithm based on dynamic mode decomposition (DMD) for acceleration of the power method (PM). The power method is a simple technique for determining the dominant eigenmode of an operator $\mathbf{A}$, and variants of the…

Computational Physics · Physics 2019-04-23 Jeremy A. Roberts , Leidong Xu , Rabab Elzohery , Mohammad Abdo

Dynamic mode decomposition (DMD) is a data-driven method for estimating the dynamics of a discrete dynamical system. This paper proposes a tensor-based approach to DMD for applications in which the states can be viewed as tensors.…

Numerical Analysis · Mathematics 2025-08-15 Arvind K. Saibaba , Misha E. Kilmer , Khalil Hall-Hooper , Fan Tian , Alex Mize

Existing methods to determine the stability of a power system to small perturbations are based on eigenvalue analysis and focus on the asymptotic (long-term) behavior of the power grid. During the preasymptotic (short-term) transient,…

Optimization and Control · Mathematics 2023-02-22 Daniel Adrian Maldonado , Emil Constantinescu , Junbo Zhao , Mihai Anitescu

In modern power systems, grid-forming power converters (GFMCs) have emerged as an enabling technology. However, the modeling of single-phase GFMCs faces new challenges. In particular, the nonlinear orthogonal signal generation unit, crucial…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Wenjia Si , Chenming Liu , Steven Liu , Hongchang Li , Chenghui Zhang , Jingyang Fang

This paper introduces a new grid-forming control for power converters, termed hybrid angle control (HAC) that ensures the almost global closed-loop stability. HAC combines the recently proposed matching control with a novel nonlinear angle…

Optimization and Control · Mathematics 2020-08-19 Ali Tayyebi , Adolfo Anta , Florian Dörfler

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

Dynamical Systems · Mathematics 2024-08-06 George Haller , Bálint Kaszás

The aim of this work is to apply the dynamical system approach to study the linear dynamics of the normal DGP brane-world model with agegraphic dark energy. The stability analysis of the model will be investigated and the phase plane…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Arvin Ravanpak , Golnaz Farpour Fadakar

We introduce an approach for damage detection in gearboxes based on the analysis of sensor data with the multi-resolution dynamic mode decomposition (mrDMD). The application focus is the condition monitoring of wind turbine gearboxes under…

Signal Processing · Electrical Eng. & Systems 2022-03-23 Paolo Climaco , Jochen Garcke , Rodrigo Iza-Teran

This work investigates the transient and dynamical behavior of hybrid AC/DC systems using dual-port grid-forming (GFM) control. A generalized modeling framework for hybrid AC/DC networks is first introduced that accounts for converter,…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Irina Subotić , Dominic Groß , Alexander Winkens , Julian Jansen , Florian Klein-Helmkamp , Andreas Ulbig

The modern power system features high penetration of power converters due to the development of renewables, HVDC, etc. Currently, the controller design and parameter tuning of power converters heavily rely on rich engineering experience and…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Linbin Huang , Huanhai Xin , Florian Dörfler