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The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless and constant $R/X$ grids with highly heterogeneous mixes of…

Optimization and Control · Mathematics 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann

Inverter-based resources (IBRs) are becoming increasingly prevalent in power systems. Due to the inherently low inertia of inverters, there is a heightened risk of disruptive voltage oscillations. A particular challenge in the operation of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Zixiao Ma , Baosen Zhang

Conventional power system optimization framework is becoming less reliable and efficient due to the stability issues brought by the ever-increasing inverter-interfaced renewable penetration. To ensure system stability during system…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

Passivity indices have been widely adopted to derive distributed stability certificates for power systems. Nevertheless, conventional passivity indices remain scalar-valued even for multi-input-multi-output (MIMO) systems, which can…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Xi Ru , Cong Fu , Zhongze Li , Xiaoyu Peng , Feng Liu

The proliferation of inverter-based generation and advanced sensing, controls, and communication infrastructure have facilitated the accelerated deployment of microgrids. A coordinated network of microgrids can maintain reliable power…

Systems and Control · Electrical Eng. & Systems 2020-03-19 Sai Pushpak Nandanoori , Soumya Kundu , Wei Du , Francis Tuffner , Kevin Schneider

This paper proposes a new approach to perform small-signal stability analysis based on linearization of implicit multilinear models. Multilinear models describe the system dynamics by multilinear functions of state, input, and algebraic…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Christoph Kaufmann , Georg Pangalos , Gerwald Lichtenberg , Oriol Gomis-Bellmunt

As power systems evolve with increasing production from Inverter-Based Resources (IBRs), their underlying dynamics are undergoing significant changes that can jeopardize system operation, leading to poorly damped oscillations or…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Jovan Krajacic , Keith Moffat , Gustavo Valverde

This paper proposes a generalized passivity sensitivity analysis for power system stability studies. The method uncovers the most effective instability mitigation actions for both device-level and system-level investigations. The particular…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Dongyeong Lee , Francisco Javier Cifuentes Garcia , Jef Beerten

This paper presents a novel approach to stability analysis for grid-connected converters utilizing Scaled Relative Graphs (SRG). Our method effectively decouples grid and converter dynamics, thereby establishing a comprehensive and…

Systems and Control · Electrical Eng. & Systems 2026-01-23 Eder Baron-Prada , Adolfo Anta , Florian Dörfler

The increasing penetration of inverter-based resources (IBRs) has fundamentally altered the transient stability characteristics of modern power systems. IBRs typically rely on proportional--integral (PI) controllers for synchronization and…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Yifan Zhang , Hsiao-Dong Chiang , Yitong Li , Yang Wu

This paper proposes dynamic stability and performance conditions for grid-connected inverter-based resources (IBRs). To this end, we extend the notion of steady-state droop coefficients to dynamic droop coefficients to capture the…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Jennifer T. Bui , Dominic Groß

Small-signal instability issues of interconnected converter systems can be addressed by the impedance-based stability analysis method, where the impedance ratio at the point of common connection of different subsystems can be regarded as…

Systems and Control · Computer Science 2019-09-05 Yicheng Liao , Xiongfei Wang

The increasing use of power electronics converters to integrate renewable energy sources has been subject of concern due to the resonance oscillatory phenomena caused by their interaction with poorly damped AC networks. Early studies are…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Luis Orellana , Luis Sainz , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

Nyquist criterion-based impedance ratio criteria (IRCs) have been widely applied for inspecting the risk of small-signal instability among converter-based AC power systems. Aided by a comparative study on voltage source converter, including…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Chongbin Zhao , Qirong Jiang

Proper modeling of inverter-based microgrids is crucial for accurate assessment of stability boundaries. It has been recently realized that the stability conditions for such microgrids are significantly different from those known for large-…

Systems and Control · Computer Science 2016-11-08 Petr Vorobev , Po-Hsu Huang , Mohamed Al Hosani , James L. Kirtley , Konstantin Turitsyn

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

In this paper, the impact of inverter-based resources (IBRs) on the frequency dynamics of the Brazilian Interconnected Power System (BIPS) is evaluated. A measurement-based framework is proposed to assess the impact of IBR penetration on…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Bruno Pinheiro , M. C. Llerena Velasquez , Giovane Faria , A. F. C. Aquino , Diego Issicaba , Daniel Dotta

In power networks based on Inverter-Based Resources (IBRs), fast controllers cause frequency and voltage dynamics to overlap. Thus, it becomes critical to assess the overall dynamic performance of such networks through a combined…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Rodrigo Bernal , Taulant Kerci , Federico Milano

The integration of Inverter-Based Resource (IBR) model into phasor-domain short circuit (SC) solvers challenges their numerical stability. To address the challenge, this paper proposes a solver that improves numerical stability by employing…

Systems and Control · Electrical Eng. & Systems 2024-11-20 Aboutaleb Haddadi , Evangelos Farantatos , Ilhan Kocar

In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Understanding the dynamics of stressed power systems with a range…

Systems and Control · Computer Science 2017-10-31 Thanh Long Vu , Hung Dinh Nguyen , Alexandre Megretski , Jean-Jacques Slotine , Konstantin Turitsyn