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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

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 converter (GFM-VSC) may experience low-frequency resonances, such as synchronous resonance (SR) and sub-synchronous resonance (SSR), in the output power. This paper offers a comprehensive study on the root causes…

Systems and Control · Electrical Eng. & Systems 2024-02-23 Fangzhou Zhao , Tianhua Zhu , Zejie Li , Xiongfei Wang

This paper proposes to analyze the motion stability of synchro-nous generator power systems using a Lagrangian model derived in the configuration space of generalized position and speed. In the first place, a Lagrangian model of synchronous…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Feng Ji , Lu Gao , Chang Lin , Yang Liu

Grid-following inverters have been widely adopted as a grid interface for renewable energy, and ensuring their small-signal and large-signal stability is critical to modern power systems. Their large-signal, or transient, stability is a…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Yifan Zhang , Yunjie Gu , Yue Zhu , Yitong Li , Hsiao-Dong Chiang , Timothy C. Green

The MMC-HVDC connected offshore wind farms (OWFs) could suffer short circuit fault (SCF), whereas their transient stability is not well analysed. In this paper, the mechanism of the loss of synchronization (LOS) of this system is analysed…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Yu Zhang , Chen Zhang , Renxin Yang , Jing Lyu , Li Liu , Xu Cai

In this paper, we develop and analyze an integral fixed-time sliding mode control method for a scenario in which the system model is only partially known, utilizing Gaussian processes. We present two theorems on fixed-time convergence. The…

Systems and Control · Electrical Eng. & Systems 2025-05-30 Chaimae El Mortajinea , Moussa Labbadib , Adnane Saoudc , Mostafa Bouzia

This paper deals with the stability analysis of a mass-spring system subject to friction using Lyapunov-based arguments. As the described system presents a stick-slip phenomenon, the mass may then periodically sticks to the ground. The…

Optimization and Control · Mathematics 2021-03-09 Matthieu Barreau , Sophie Tarbouriech , Frederic Gouaisbaut

The existence of generalized steady states (GSSs) in nonlinear mechanical systems under moderate temporally aperiodic forcing has only been shown recently. Here we derive systematic expansions for such GSSs and construct a numerical…

Dynamical Systems · Mathematics 2026-02-20 Roshan S. Kaundinya , Isabella Thiel , Bálint Kaszás , Shobhit Jain , George Haller

Considering the structure of dc Microgrids (MGs) composed of grid-forming/feeding converters, a hierarchical Plug-and-Play (PnP) voltage/current control architecture for MG clusters is proposed. In the primary level, a PnP voltage/current…

Optimization and Control · Mathematics 2018-12-06 Renke Han , Michele Tucci , Raffaele Soloperto , Andrea Martinelli , Giancarlo Ferrari-Trecate , Josep M. Guerrero

This paper is concerned with stability analysis of nonlinear time-varying systems by using Lyapunov function based approach. The classical Lyapunov stability theorems are generalized in the sense that the time-derivative of the Lyapunov…

Dynamical Systems · Mathematics 2017-08-18 Bin Zhou

Stability margins for linear time-varying (LTV) and switched-linear systems are traditionally computed via quadratic Lyapunov functions, and these functions certify the stability of the system under study. In this work, we show how the more…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Corbin Klett , Matthew Abate , Samuel Coogan , Eric Feron

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

This note studies (practical) asymptotic stability of nonlinear networked control systems whose protocols are not necessarily uniformly globally exponentially stable. In particular, we propose a Lyapunov-based approach to establish…

Systems and Control · Computer Science 2018-10-10 Seyed Hossein Mousavi , Navid Noroozi , Anton H. J. de Ruiter , Roman Geiselhart

The increasing adoption of power electronic devices may lead to large disturbance and destabilization of future power systems. However, stability criteria are still an unsolved puzzle, since traditional small-signal stability analysis is…

Systems and Control · Electrical Eng. & Systems 2020-05-27 Fangyuan Chang , Xiaofan Cui , Mengqi Wang , Wencong Su , Alex Q. Huang

Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for different cases, even for the general…

Chaotic Dynamics · Physics 2015-05-13 D. V. Senthilkumar , J. Kurths , M. Lakshmanan

Self-triggered control (STC) is a resource efficient approach to determine sampling instants for Networked Control Systems. At each sampling instant, an STC mechanism determines not only the control inputs but also the next sampling…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Michael Hertneck , Frank Allgöwer

In this paper, we aim to find the conditions for input-state stability (ISS) and incremental input-state stability ($\delta$ISS) of Gated Graph Neural Networks (GGNNs). We show that this recurrent version of Graph Neural Networks (GNNs) can…

Robotics · Computer Science 2024-03-12 Antonio Marino , Claudio Pacchierotti , Paolo Robuffo Giordano

This paper investigates equilibrium points and stability in two synchronous machine configurations: (i) a single generator with an impedance load and (ii) two interconnected machines with co-located loads. We consider both abc and dq…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Maryam Khodabakhshloo , Elizabeth L. Ratnam , Ian R. Petersen

Learning controllers merely based on a performance metric has been proven effective in many physical and non-physical tasks in both control theory and reinforcement learning. However, in practice, the controller must guarantee some notion…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Arash Mehrjou , Mohammad Ghavamzadeh , Bernhard Schölkopf