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This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

系统与控制 · 电气工程与系统科学 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

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…

最优化与控制 · 数学 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann

In a power grid with growing penetrations of renewable energy sources, inverters play a larger role in the dynamic interactions among network components. However, much is yet to be studied regarding inverter-dominated grid stability. This…

系统与控制 · 电气工程与系统科学 2023-11-22 Ruth Kravis , Gabriel Colon-Reyes , Duncan Callaway

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…

系统与控制 · 电气工程与系统科学 2020-03-19 Sai Pushpak Nandanoori , Soumya Kundu , Wei Du , Francis Tuffner , Kevin Schneider

This paper presents several stability analyses for grid-forming inverters and synchronous generators considering the dynamics of transmission lines and different load models. Load models are usually of secondary importance compared to…

系统与控制 · 电气工程与系统科学 2024-02-28 Rodrigo Henriquez-Auba , Jose Daniel Lara , Duncan S. Callaway

This paper proposes a systematic framework to assess the small-signal stability of power systems with high shares of grid-following inverter-based resources (IBRs) under varying controller parameters and operating conditions. Stability…

系统与控制 · 电气工程与系统科学 2026-05-27 Francesco Conte , Fernando Mancilla-David , Federico Silvestro , Samuele Grillo

We consider the problem of stability analysis for distribution grids with droop-controlled inverters and dynamic distribution power lines. The inverters are modeled as voltage sources with controllable frequency and amplitude. This problem…

系统与控制 · 电气工程与系统科学 2020-03-27 Stefanos Baros , Christoforos N. Hadjicostis , Francis O'Sullivan

Assessing small-signal stability of power systems composed of thousands of interacting generators is a computationally challenging task. To reduce the computational burden, this paper introduces a novel condition to assess and certify…

系统与控制 · 电气工程与系统科学 2021-03-30 Amin Gholami , Xu Andy Sun

This paper presents a detailed small-signal stability analysis of a modified version of the Cigr\'e European high-voltage network, where one of the synchronous generators is replaced by a grid-following inverter-based resource (IBR). The…

系统与控制 · 电气工程与系统科学 2025-06-23 Francesco Conte , Fernando Mancilla-David , Amritansh Sagar , Chendan Li , Federico Silvestro , Samuele Grillo

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…

系统与控制 · 电气工程与系统科学 2026-01-26 Francesca Rossi , Juan Carlos Olives-Camps , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

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…

系统与控制 · 电气工程与系统科学 2026-03-10 Christoph Kaufmann , Georg Pangalos , Gerwald Lichtenberg , Oriol Gomis-Bellmunt

High penetration of distributed generators (DG) in modern power grids creates angle, voltage, and frequency instabilities. Most of the work in the literature has focused on small-signal stability analysis of single grid-connected inverters…

系统与控制 · 电气工程与系统科学 2023-04-07 Ramkrishna Mishan

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-…

系统与控制 · 计算机科学 2016-11-08 Petr Vorobev , Po-Hsu Huang , Mohamed Al Hosani , James L. Kirtley , Konstantin Turitsyn

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…

系统与控制 · 电气工程与系统科学 2024-09-06 Kaustav Chatterjee , Ramij Raja Hossain , Sai Pushpak Nandanoori , Soumya Kundu , Subhrajit Sinha , Diane Baldwin , Ronald Melton

The increasing integration of power electronic devices is driving the development of more advanced tools and methods for the modeling, analysis, and control of modern power systems to cope with the different time-scale oscillations. In this…

系统与控制 · 电气工程与系统科学 2019-10-22 Umberto Biccari , Noboru Sakamoto , Eneko Unamuno , Danel Madariaga , Enrique Zuazua , Jon Andoni Barrena

We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom. We develop a stability theory for a class of partitioned linear systems with symmetries that has…

最优化与控制 · 数学 2020-11-12 Taouba Jouini , Florian Dörfler

This paper presents a small-signal analysis of an islanded microgrid composed of two or more voltage source inverters connected in parallel. The primary control of each inverter is integrated through internal current and voltage loops using…

Distributed control, as a potential solution to decreasing communication demands in microgrids, has drawn much attention in recent years. Advantages of distributed control have been extensively discussed, while its impacts on microgrid…

系统与控制 · 计算机科学 2018-09-11 Yimajian Yan , Di Shi , Desong Bian , Bibin Huang , Zhehan Yi , Zhiwei Wang

The increasing integration of renewable energy sources into electrical grids necessitates a paradigm shift toward advanced control schemes that guarantee safe and stable operations with scalable properties. Accordingly, this paper…

系统与控制 · 电气工程与系统科学 2026-05-26 Cornelia Skaga , Mahdieh S. Sadabadi , Gilbert Bergna-Diaz

An islanded microgrid supplied by multiple distributed energy resources (DERs) often employs droop-control mechanisms for power sharing. Because microgrids do not include inertial elements, and low pass filtering of noisy measurements…

系统与控制 · 电气工程与系统科学 2019-07-05 Abdullah Al Maruf , Mohammad Ostadijafari , Anamika Dubey , Sandip Roy
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