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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

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…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

The expansion of inverter-connected generation facilities (i.e. wind and photovoltaics) and the removal of conventional power plants is necessary to mitigate the impacts of climate change. Whereas conventional generation with large rotating…

Adaptation and Self-Organizing Systems · Physics 2020-01-20 Philipp C. Böttcher , Andreas Otto , Stefan Kettemann , Carsten Agert

This paper proposes a novel strategy for the current injection based control for distributed energy resources connected to weak grids through a voltage source converter experiencing faults. The current injection controller is no longer…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Runfan Zhang , Branislav Hredzak

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

This paper presents an extensive framework focused on the control design, along with stability and performance analysis, of Grid-Following Inverters (GFL). It aims to ensure their effective operation under both stiff and weak grid…

Systems and Control · Electrical Eng. & Systems 2024-01-26 Alireza Askarian , Jaesang Park , Srinivasa Salapaka

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

The virtual synchronous generator (VSG), with the analogous nonlinear power-angle relationship to the synchronous generator (SG), has attracted much attention as a promising solution for converter-based power systems. In this paper, a large…

Systems and Control · Electrical Eng. & Systems 2025-02-28 Jiayue Lyu , Tianzhi Fang , Zhiheng Lin , Jingxue Han , Yantao Zhu

Integrating grid-forming converters (GFMCs) into grid-following converter (GFLC)-dominated power systems enhances the grid strength, but GFMCs' current-limiting characteristic triggers dynamic switching between constant voltage control…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Bingfang Li , Songhao Yang , Pu Cheng , Zhiguo Hao

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

This article introduces two control frameworks: one for Grid-Following (GFL) inverters aiding Grid-Forming (GFM) inverters in voltage regulation during large contingency events and optimizing power transactions under normal conditions; and…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Jaesang Park , Alireza Askarian , Srinivasa Salapaka

Due to the energy crisis and environmental pollution, the installed capacity of inverter-based resources (IBRs) in power grids is rapidly increasing, and grid-following control (GFL) is the most prevalent at present. Meanwhile, grid-forming…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Yinhong Lin , Bin Wang , Qinglai Guo , Haotian Zhao , Hongbin Sun

The modern power grid features the high penetration of power converters, which widely employ a phase-locked loop (PLL) for grid synchronization. However, it has been pointed out that PLL can give rise to small-signal instabilities under…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Chaoran Yang , Linbin Huang , Huanhai Xin , Ping Ju

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

Fluctuations in phase angle and frequency under large disturbances can lead to loss of synchronism (LOS) in grid-following (GFL) converters. The power angle and frequency of synchronous generators (SGs) correspond to rotor position and…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Fangyuan Sun , Ruisheng Diao , Ruiyuan Zeng , Junjie Li , Wangqianyun Tang

Having sufficient grid-forming sources is one of the necessary conditions to guarantee the stability in a power system hosting a very large share of inverter-based generation. The grid-forming function has been historically fulfilled by…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Dorsan Lepour , Mario Paolone , Guillaume Denis , Carmen Cardozo , Thibault Prevost , Emeline Guiu

The grid-following and grid-forming controls in voltage-source converters are considered as different operation modes and the synchronization mechanism of them are studied separately. In this article, the intrinsic relationships between…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Kaizhe Zhang

Grid-interfacing inverters act as the interface between renewable resources and the electric grid, and have the potential to offer fast and programmable controls compared to synchronous generators. With this flexibility there has been…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Trager Joswig-Jones , Baosen Zhang

Small-signal instability of grid-connected power converters may arise when the converters use a phase-locked loop (PLL) to synchronize with a weak grid. Commonly, this stability problem (referred as PLL-synchronization stability in this…

Systems and Control · Computer Science 2019-11-26 Linbin Huang , Huanhai Xin , Wei Dong , Florian Dörfler

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