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A new method for stability assessment of inverter-based microgrids is presented in this paper. It leverages the notion of critical clusters -- a localized group of inverters with parameters having the highest impact on the system stability.…

Systems and Control · Electrical Eng. & Systems 2020-07-21 Andrey Gorbunov , Petr Vorobev , Jimmy Chih-Hsien Peng

The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. While conventional generation responds dynamically to the state…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Philipp C. Böttcher , Leonardo Rydin Gorjão , Dirk Witthaut

In this paper, we investigate the stability properties of inverter-based microgrids by establishing the possible presence of the so-called critical clusters - groups of inverters with their control settings being close to the stability…

Systems and Control · Electrical Eng. & Systems 2020-04-03 Andrey Gorbunov , Petr Vorobev , Jimmy Chih-Hsien Peng

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…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Stefanos Baros , Christoforos N. Hadjicostis , Francis O'Sullivan

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

This work provides a design method for achieving a specified level of stability for inverter-based interconnected distributed generation. The stability of parallel connected distributed energy resources determined from a linearized…

Systems and Control · Computer Science 2016-11-17 Mahmood Saadeh , Roy McCann

This paper proposes a computational method to efficiently and quickly estimate stability regions of droop control slopes for modular multilevel converter (MMC)-based multiterminal dc (MTDC) systems. The proposed method is based on a general…

Systems and Control · Electrical Eng. & Systems 2020-04-08 Yuntao Zou , Lei Zhang , Jiangchao Qin

This paper presents a non-linear stability analysis for dc-microgrids in both, interconnected mode and island operation with primary control. The proposed analysis is based on the fact that the dynamical model of the grid is a gradient…

Optimization and Control · Mathematics 2019-01-07 Alejandro Garces

This paper proposes a novel transient stability assessment tool for networked microgrids based on neural Lyapunov methods. Assessing transient stability is formulated as a problem of estimating the dynamic security region of networked…

Systems and Control · Electrical Eng. & Systems 2020-12-03 Tong Huang , Sicun Gao , Le Xie

As modern engineering systems grow in complexity, attitudes toward a modular design approach become increasingly more favorable. A key challenge to a modular design approach is the certification of robust stability under uncertainties in…

Optimization and Control · Mathematics 2019-03-22 Soumya Kundu , Wei Du , Sai Pushpak Nandanoori , Frank Tuffner , Kevin Schneider

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…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Francesco Conte , Fernando Mancilla-David , Federico Silvestro , Samuele Grillo

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

Power injection uncertainties in distribution power grids, which are mostly induced by aggressive introduction of intermittent renewable sources, may drive the system away from normal operating regimes and potentially lead to the loss of…

Optimization and Control · Mathematics 2018-11-21 Hung D. Nguyen , Krishnamurthy Dvijotham , Suhyoun Yu , Konstantin Turitsyn

In this paper we study theoretical properties of inverter-based microgrids controlled via primary and secondary loops. Stability of these microgrids has been the subject of a number of recent studies. Conventional approaches based on…

Systems and Control · Computer Science 2014-09-17 Rahmat Heidari , Maria Seron , Julio Braslavsky

This paper uses the notion of algorithmic stability to derive novel generalization bounds for several families of transductive regression algorithms, both by using convexity and closed-form solutions. Our analysis helps compare the…

Machine Learning · Computer Science 2009-04-07 Corinna Cortes , Mehryar Mohri , Dmitry Pechyony , Ashish Rastogi

Inverter-based microgrids are an important technology for sustainable electrical power systems and typically use droop-controlled grid-forming inverters to interface distributed energy resources to the network and control the voltage and…

Optimization and Control · Mathematics 2020-03-12 Yemi Ojo , Jeremy Watson , Ioannis Lestas

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li

Estimation of solution norms and stability for time-dependent nonlinear systems is ubiquitous in numerous engineering, natural science and control problems. Yet, practically valuable results are rare in this area. This paper develops a…

Dynamical Systems · Mathematics 2020-01-22 Mark A. Pinsky , Steve Koblik

Estimation of the degree of stability and the bounds of solutions to non-autonomous nonlinear systems present major concerns in numerous applied problems. Yet, current techniques are frequently yield overconservative conditions which are…

Dynamical Systems · Mathematics 2020-12-29 Mark A. Pinsky

The increasing development of the electric power grid, the largest engineered system ever, to an even more complicated and larger system requires a new generation of stability assessment methods that are computationally tractable and…

Systems and Control · Computer Science 2015-02-11 Thanh Long Vu , Konstantin Turitsyn
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