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Hybrid systems combine both discrete and continuous state dynamics. Power electronic inverters are inherently hybrid systems: they are controlled via discrete-valued switching inputs which determine the evolution of the continuous-valued…

系统与控制 · 电气工程与系统科学 2023-01-02 Gabriel E. Colón-Reyes , Kaylene C. Stocking , Duncan S. Callaway , Claire J. Tomlin

Recurrent neural networks (RNNs) with random, but sufficiently strong and balanced coupling display a well known high-dimensional chaotic dynamics. Here, we investigate if externally applied inputs to these RNNs can stabilize globally…

混沌动力学 · 物理学 2024-06-11 Jordan Culp , Wilten Nicola

This paper derives closed-form solutions for grid-forming converters with power synchronization control (PSC) by subtly simplifying and factorizing the complex closed-loop models. The solutions can offer clear analytical insights into…

系统与控制 · 电气工程与系统科学 2023-12-05 Fangzhou Zhao , Tianhua Zhu , Lennart Harnefors , Bo Fan , Heng Wu , Zichao Zhou , Yin Sun , Xiongfei Wang

In this paper, we consider a nonlinear networked control system (NCS) in which controllers, sensors and actuators are connected via several communication links. In each link, networking effects such as the transmission delay, packet loss,…

系统与控制 · 计算机科学 2015-03-03 Rahim Delavar , Babak Tavassoli , Mohammad Taghi Hamidi Beheshti

This paper considers a wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable vector of state. The problem is to find a special function (Lyapunov function), which in the framework of the second…

系统与控制 · 电气工程与系统科学 2023-07-07 A. M. Zenkin , A. A. Peregudin , A. A. Bobtsov

Impedance-based stability analysis is appealing in the case of Single-Input Single-Output (SISO) systems. However, in the case of grid-tied voltage source converter (VSC) systems, dq impedances of source and load (VSC) subsystems are…

系统与控制 · 计算机科学 2017-03-14 Chen Zhang , Xu Cai , Atle Rygg , Marta Molinas

Increasing the inertia is widely considered to be the solution to resolving unstable interactions between coupled oscillators. In power grids, Virtual Synchronous Generators (VSGs) are proposed to compensate the reducing inertia as rotating…

系统与控制 · 电气工程与系统科学 2022-01-31 Gurupraanesh Raman , Gururaghav Raman , Jimmy Chih-Hsien Peng

Finite-time stability (FTS) of a differential equation guarantees that solutions reach a given equilibrium point in finite time, where the time of convergence depends on the initial state of the system. For traditional stability notions…

最优化与控制 · 数学 2025-06-17 Sengiyumva Kisole , Kunal Garg , Matthew Peet

Traditional centralized stability analysis struggles with scalability in large complex modern power grids. This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we prove…

系统与控制 · 电气工程与系统科学 2025-06-16 Peng Yang , Xiaoyu Peng , Xi Ru , Hua Geng , Feng Liu

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…

系统与控制 · 电气工程与系统科学 2025-11-03 Kehao Zhuang , Huanhai Xin , Hangyu Chen , Linbin Huang

Under asymmetrical faults, analyzing the transient stability of grid-forming voltage-source converters (GFM-VSCs) becomes essential because their behavior fundamentally differs from that under symmetrical faults. When current limiting is…

系统与控制 · 电气工程与系统科学 2025-11-20 Seongyeon Kim , Ki-Hyun Kim , Shenghui Cui , Jae-Jung Jung

Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay of network structures and the local dynamics of synchronous…

适应与自组织系统 · 物理学 2024-06-19 Philipp C. Böttcher , Dirk Witthaut , Leonardo Rydin Gorjão

In contrast to grid-following inverters, Virtual Synchronous Generators (VSGs) perform well under weak grid conditions but may become unstable when the grid is strong. Grid strength depends on grid impedance, which unfortunately varies over…

系统与控制 · 电气工程与系统科学 2025-07-08 Quang-Manh Hoang , Van Nam Nguyen , Taehyung Kim , Guilherme Vieira Hollweg , Wencong Su , Van-Hai Bui

This paper studies the stability of sampled and networked control systems with sampling and communication times governed by probabilistic clocks. The clock models have few restrictions, and can be used to model numerous phenomena such as…

系统与控制 · 计算机科学 2014-10-09 Andrew Lamperski

Power injection uncertainties in distribution power grids, which are mostly induced by aggressive introduction of intermittent renewable sources, may drive the system away from normal operating regimes and potentially lead to the loss of…

最优化与控制 · 数学 2018-11-21 Hung D. Nguyen , Krishnamurthy Dvijotham , Suhyoun Yu , Konstantin Turitsyn

The output impedance matrices of three-phase grid-connected voltage source converters (VSCs) are widely used in power system stability analysis. Regardless of how the impedance is modeled, there always exist coupling terms in the impedance…

系统与控制 · 计算机科学 2017-04-04 Huanhai Xin , Ziheng Li , Wei Dong , Zhen Wang , Leiqi Zhang

The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent…

系统与控制 · 电气工程与系统科学 2022-08-12 Francesco Ferrante , Giorgio Valmorbida

The increasing penetration of inverter based renewable generation (RG) in the form of solar photo-voltaic (PV) or wind has introduced numerous operational challenges and uncertainties. According to the standards, these generators are made…

最优化与控制 · 数学 2019-11-19 Chetan Mishra , James S. Thorp , Virgilio A. Centeno , Anamitra Pal

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…

系统与控制 · 电气工程与系统科学 2021-06-08 Dorsan Lepour , Mario Paolone , Guillaume Denis , Carmen Cardozo , Thibault Prevost , Emeline Guiu

Representation of inductive coupling lines with conventional static phasors is the main reason of inadequacy of the existing phasors based simplified stability analysis methods for microgrids with inductive coupling lines. In the…

系统与控制 · 电气工程与系统科学 2025-07-18 Bülent Dağ