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Impedance models are widely used in assessing small signal stability of grid-tied voltage source converter (VSC) systems. Recent research has proven that impedance models of grid-tied VSC in both dq and sequence domains are generally…

Systems and Control · Computer Science 2017-04-14 Chen Zhang , Xu Cai , Atle Rygg , Marta Molinas

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

Impedance-based small-signal stability analysis is widely applied in practical engineering with modular multilevel converters (MMCs). However, the deficiencies of existing impedance models (IMs) and the idealized extension for the single…

Systems and Control · Electrical Eng. & Systems 2023-03-17 Chongbin Zhao , Qirong Jiang

Power distribution systems are becoming much more active with increased penetration of distributed energy resources. Because of the intermittent nature of these resources, the stability of distribution systems under large disturbances and…

Systems and Control · Electrical Eng. & Systems 2022-05-25 Wenqi Cui , Baosen Zhang

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…

Systems and Control · Electrical Eng. & Systems 2019-07-05 Abdullah Al Maruf , Mohammad Ostadijafari , Anamika Dubey , Sandip Roy

With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Jakob Niehues , Anna Büttner , Anne Riegler , Frank Hellmann

The stability of interconnected linear time-invariant systems using singular values and the small gain theorem has been studied for many decades. The methods of mu-analysis and synthesis has been extensively developed to provide robustness…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Luke Woolcock , Robert Schmid

The changing nature of power systems dynamics is challenging present practices related to modeling and study of system-level dynamic behavior. While developing new techniques and models to handle the new modeling requirements, it is also…

Systems and Control · Electrical Eng. & Systems 2023-08-10 Jose Daniel Lara , Rodrigo Henriquez-Auba , Deepak Ramasubramanian , Sairaj Dhople , Duncan S. Callaway , Seth Sanders

The fault characteristics of inverter-based resources (IBRs) are different from conventional synchronous generators. The fault response of IBRs is non-linear due to saturation states and mainly determined by fault ride through (FRT)…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Zahid Javid , Firdous Ul Nazir , Wentao Zhu , Diptargha Chakravorty , Ahmed Aboushady , Mohamed Galeela

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

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

In this work, we study fast time scale dynamic interactions between inverters, synchronous machines, and transmission lines. The overlapping time scales between inverter controls and electromagnetic phenomena idfentified in recent years has…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Gabriel E. Colon-Reyes , Ruth Kravis , Sunash Sharma , Duncan Callaway

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 consider a possibility of stabilizing very fast electromagnetic interactions between Inverter Based Resources (IBRs), known as the Control Induced System Stability problems. We propose that when these oscillatory…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Riley Lawson , Marija Ilic

A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andrey Gorbunov , Jimmy Chih-Hsien Peng , Janusz W. Bialek , Petr Vorobev

With the increase of uncertain and intermittent renewable energy supply on the grid, the power system has become more vulnerable to instability. In this paper, we develop a demand response strategy to improve power system small-signal…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Mengqi Yao , Sandip Roy , Johanna L. Mathieu

This paper considers robust stability analysis of a large network of interconnected uncertain systems. To avoid analyzing the entire network as a single large, lumped system, we model the network interconnections with integral quadratic…

Optimization and Control · Mathematics 2016-11-17 Martin S. Andersen , Anders Hansson , Sina Khoshfetrat Pakazad , Anders Rantzer

This paper presents a non-intrusive, decentralized approach that stabilizes AC microgrids dominated by inverter-based resources (IBRs). By "non-intrusive" we mean that the approach does not require reprogramming IBRs' controllers to…

Systems and Control · Electrical Eng. & Systems 2026-02-23 Tong Huang

We introduce a novel approach to feedback stability analysis for linear time-invariant (LTI) systems, overcoming the limitations of the sectoriality assumption in the small phase theorem. While phase analysis for single-input single-output…

Optimization and Control · Mathematics 2025-03-18 Eder Baron-Prada , Adolfo Anta , Alberto Padoan , Florian Dörfler

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