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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…

Systems and Control · Electrical Eng. & Systems 2024-02-28 Rodrigo Henriquez-Auba , Jose Daniel Lara , Duncan S. Callaway

The integration of more intermittent generation, energy storage, and dynamic loads on top of a competitive market environment requires future grids to handle increasing diversity of power injection states. Grid planners need new tools and…

Applied Physics · Physics 2019-04-18 A. E. Tio , D. J. Hill , J. Ma

The increasing penetration of renewables is replacing traditional synchronous generation in modern power systems with low-inertia asynchronous converter-interfaced generators (CIGs). This penetration threatens the dynamic stability of the…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Xuezao Wang , Yijun Xu , Wei Gu , Kai Liu , Shuai Lu , Mert Korkali , Lamine Mili

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

Uncertainty from renewable energy and loads is one of the major challenges for stable grid operation. Various approaches have been explored to remedy these uncertainties. In this paper, we design centralized or decentralized state-feedback…

Systems and Control · Computer Science 2019-07-17 Ahmad F. Taha , Mohammadhafez Bazrafshan , Sebastian Nugroho , Nikolaos Gatsis , Junjian Qi

Deviations of grid frequency from the nominal frequency are an indicator of the global imbalance between genera- tion and load. Two types of control, a distributed propor- tional control and a centralized integral control, are cur- rently…

Systems and Control · Computer Science 2012-11-20 Krishnamurthy Dvijotham , Michael Chertkov , Scott Backhaus

The output impedance matrix of a grid-connected converter plays an important role in analyzing system stability. Due to the dynamics of the DC-link control and the phase locked loop (PLL), the output impedance matrices of the converter and…

Systems and Control · Computer Science 2017-06-20 Huanhai Xin , Ziheng Li , Wei Dong , Leiqi Zhang , Zhen Wang , Jian Zhao

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut

Electric power systems are undergoing fundamental change. The shift to inverter-based generation challenges frequency stability, while growing digitalisation heightens vulnerability to errors and attacks. Here we identify an emerging risk…

With increased attention on grid-forming inverters as a power system stabilizing device during periods of high shares of inverter-based resource operations, there is a present need for a transparent and rigorous investigation of the…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Rick Wallace Kenyon , Amirhossein Sajadi , Matt Bossart , Andy Hoke , Bri-Mathias Hodge

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

The synchronization stability has been analyzed as one of the important dynamical characteristics of power grids. In this study, we bring the operational perspective to the synchronization stability analysis by counting not only full but…

Physics and Society · Physics 2021-07-07 Heetae Kim

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

Ever-growing electrical loads are having a huge impact on the operation and stability of the power system. Moreover, the integration of renewable generation poses various challenges to the future power system, especially, regarding…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Umair Shahzad

Future power systems will include high shares of inverter-based generation. There is a general consensus that for allowing this transition, the Grid-Forming (GFM) control approach would be of great value. This article presents a GFM control…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Julian Freytes , Antoine Rossé , Valentin Costan , Grégoire Prime

Many recent works in control of electric power systems have investigated their synchronization through global performance metrics under external disturbances. The approach is motivated by fundamental changes in the operation of power grids,…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Melvyn Tyloo , Philippe Jacquod

Synchronisation of parallel grid-forming inverters is crucial for stable operation of future power systems. This includes accurate and robust reactive power sharing under realistic operating conditions such as impedance mismatch and…

Systems and Control · Electrical Eng. & Systems 2026-03-25 E. D. Gomez Anccas , E. A. MacPherson , J. Tegeler , K. Röbert , M. Fischer , C. A. Hans , D. Schulz

This paper presents a novel grid-forming voltage control strategy for a battery energy storage system to maintain balanced three-phase output voltages when serving unbalanced loads. A stationary reference frame ($\alpha \beta$) based…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Bei Xu , Victor Paduani , Hui Yu , David Lubkeman , Ning Lu

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…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Francesco Conte , Fernando Mancilla-David , Amritansh Sagar , Chendan Li , Federico Silvestro , Samuele Grillo

With the development of renewable energy sources, power systems are gradually evolving into a system comprising both grid-forming (GFM) and grid-following (GFL) converters. However, the dynamic interaction between the two types of…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Kehao Zhuang , Huanhai Xin , Hangyu Chen , Linbin Huang