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This paper presents an analytical approach to explore the damping effect of inner loops on grid-forming converters. First, an impedance model is proposed to characterize the behaviors of inner loops, thereby illustrating their influence on…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Liang Zhao , Xiongfei Wang , Zheming Jin

Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees…

Optimization and Control · Mathematics 2015-08-27 Sei Zhen Khong , Corentin Briat , Anders Rantzer

The analysis of dissipatively coupled oscillators is challenging and highly relevant in power grids. Standard mathematical methods are not applicable, due to the lack of network symmetry induced by dissipative couplings. Here we demonstrate…

Adaptation and Self-Organizing Systems · Physics 2022-09-07 Robin Delabays , Saber Jafarpour , Francesco Bullo

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

The development of the manufacturing systems has made it increasingly necessary to monitor the data generated by multiple interconnected subsystems with rapid incoming of samples. Based on incremental Singular Value Decomposition (ISVD), we…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Xinmiao Luan , Qing Zou , Jian Li , Andi Wang

Grid-following and grid-forming inverters are integral components of microgrids and for integration of renewable energy sources with the grid. For grid following inverters, which need to emulate controllable current sources, a significant…

Systems and Control · Electrical Eng. & Systems 2022-07-07 Soham Chakraborty , Sourav Patel , Murti V Salapaka

The lack of data on critical infrastructure systems has hindered the research progress in modeling and optimizing the system performance. This work develops a method for generating Synthetic Interdependent Critical Infrastructure Networks…

Physics and Society · Physics 2022-06-29 Yu Wang , Jin-Zhu Yu , Hiba Baroud

This paper proposes a frequency-wise approach for stability analysis of multi-input, multi-output (MIMO) Linear Time-Invariant (LTI) feedback systems through Scaled Relative Graphs (SRGs). Unlike traditional methods, such as the Generalized…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Eder Baron-Prada , Alberto Padoan , Adolfo Anta , Florian Dörfler

Automatic generation control (AGC) is one of the most important coordinated control systems present in modern interconnected power systems. Despite being heavily studied, no interconnected dynamic stability and performance analysis of AGC…

Optimization and Control · Mathematics 2020-07-06 John W. Simpson-Porco

This paper investigates the implementation and application of the multi-variable grid-forming hybrid angle control (HAC) for high-power converters in transmission grids. We explore the system-level performance and robustness of the HAC…

Optimization and Control · Mathematics 2021-10-13 Ali Tayyebi , Alan Magdaleno , Denis Vettoretti , Meng Chen , Eduardo Prieto-Araujo , Adolfo Anta , Florian Dörfler

In this work, we present a Lyapunov framework for establishing stability with respect to a compact set for a nested interconnection of nonlinear dynamical systems ordered from slow to fast according to their convergence rates, where each of…

Optimization and Control · Mathematics 2021-01-12 Irina Subotić , Dominic Groß , Marcello Colombino , Florian Dörfler

This paper proposes decentralized stability conditions for multi-converter systems based on the combination of the small gain theorem and the small phase theorem. Instead of directly computing the closed-loop dynamics, e.g., eigenvalues of…

Systems and Control · Electrical Eng. & Systems 2024-01-11 Linbin Huang , Dan Wang , Xiongfei Wang , Huanhai Xin , Ping Ju , Karl H. Johansson , Florian Dörfler

This brief examines the behavior of DC circuits comprised of resistively interconnected constant power devices, as may arise in DC microgrids containing micro-sources and constant power loads. We derive a sufficient condition for all…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

The small-signal impedance modeling of modular multilevel converter (MMC) is the key for analyzing resonance and stability of MMC-based ac power electronics systems. MMC is a converter system with a typical multi-frequency response due to…

Systems and Control · Computer Science 2017-05-03 Jing Lyu , Qiang Chen , Xu Cai , Marta Molinas

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

Small-signal synchronization instability (SSI) may be triggered when a grid-connected converter is operated in weak grids. This problem is highly related to the active and reactive power (referred to as complex power) generation or…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Fuyilong Ma , Huanhai Xin , Zhiyi Li , Linbin Huang

We study discrete time linear constrained switching systems with additive disturbances, in which the switching may be on the system matrices, the disturbance sets, the state constraint sets or a combination of the above. In our general…

Systems and Control · Computer Science 2017-02-03 Nikolaos Athanasopoulos , Konstantinos Smpoukis , Raphael M. Jungers

The modern power system features high penetration of power converters due to the development of renewables, HVDC, etc. Currently, the controller design and parameter tuning of power converters heavily rely on rich engineering experience and…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Linbin Huang , Huanhai Xin , Florian Dörfler

Grid-forming voltage source converters (GFM-VSCs) play a crucial role in the stability of power systems with large amounts of converter-based generation. Transient stability (angle stability under large disturbances) is a critical limiting…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Régulo E. Ávila-Martínez , Luis Rouco , Javier Renedo , Lukas Sigrist , Aurelio Garcia-Cerrada

This critical analysis offers a comprehensive overview of the efficiency and noise reduction methodologies applied in switch mode power supplies (SMPSs) and the emerging trends in the field. The study acknowledges that power supplies are an…

Systems and Control · Electrical Eng. & Systems 2023-02-23 L. Raveen S. De Silva
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