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Voltage stability in modern power systems involves coupled dynamics across multiple time scales. Conventional methods based on time-scale separation or static stability margins may overlook instabilities caused by the coupling of slow and…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Naoki Hashima , Hikaru Hoshino , Luis David Pabón Ospina , Eiko Furutani

We study a two-state quantum system with a non linearity intended to describe interactions with a complex environment, arising through a non local coupling term. We study the stability of particular solutions, obtained as constrained…

Analysis of PDEs · Mathematics 2023-11-30 Thierry Goudon , Simona Rota Nodari

Contemporary theories and models for electric power system stability are predicated on a widely held assumption that the mechanical inertia of the rotating mass of synchronous generators provides the sole contribution to stable and…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Amirhossein Sajadi , Bri-Mathias Hodge

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

Systems and Control · Computer Science 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

The change of electric power generation - from synchronous generator (SG) to converter - is generally regarded as the second revolution of power system. Different from rotor swing of SG in traditional grids mainly described by the swing…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Meng Zhan , Miao Han , Yayao Zhang , Hongsheng Xu , Jiabing Hu , Shijie Cheng , Jürgen Kurths

This work primarily focuses on an operator inference methodology aimed at constructing low-dimensional dynamical models based on a priori hypotheses about their structure, often informed by established physics or expert insights. Stability…

Machine Learning · Computer Science 2024-03-04 Igor Pontes Duff , Pawan Goyal , Peter Benner

We propose an approach for inferring strength of coupling between two systems from their transient dynamics. This is of vital importance in cases where most information is carried by the transients, for instance in evoked potentials…

Neurons and Cognition · Quantitative Biology 2008-11-27 Szymon Leski , Daniel K. Wojcik

We consider the modeling, stability analysis and controller design problems for discrete-time LTI systems with state feedback, when the actuation signal is subject to switching propagation delays, due to e.g. the routing in a multi-hop…

Optimization and Control · Mathematics 2014-01-09 R. M. Jungers , A. D'Innocenzo , M. D. Di Benedetto

The classical stability margin analysis based on the linearized model is widely used in practice even in nonlinear systems. Although linear analysis techniques are relatively standard and have simple implementation structures, they are…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Jinrui Ren , Quan Quan

The description of complex systems requires a progressively larger number of parameters. However, in practice, it often happens that a small subset of parameters suffices to describe the dynamics of the system itself: these combinations are…

Estimating the stability boundary is a fundamental and challenging problem in transient stability studies. It is known that a proper level set of a Lyapunov function or an energy function can provide an inner approximation of the stability…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Peng Yang , Feng Liu , Wei Wei , Zhaojian Wang

Stability analysis tools are essential to understanding and controlling any engineering system. Recently sum-of-squares (SOS) based methods have been used to compute Lyapunov based estimates for the region-of-attraction (ROA) of polynomial…

Dynamical Systems · Mathematics 2015-01-23 Soumya Kundu , Marian Anghel

The problem of primary control of high-voltage direct current transmission systems is addressed in this paper, which contains four main contributions. First, to propose a new nonlinear, more realistic, model for the system suitable for…

Systems and Control · Computer Science 2017-03-21 Daniele Zonetti , Romeo Ortega , Johannes Schiffer

This article introduces, and reviews recent work using, a simple optimisation technique for analysing the nonlinear stability of a state in a dynamical system. The technique can be used to identify the most efficient way to disturb a system…

Fluid Dynamics · Physics 2014-08-18 R. R. Kerswell , C. C. T. Pringle , A. P. Willis

Time domain simulation is the basis of dynamic security assessment for power systems. Traditionally, numerical integration methods are adopted by simulation software to solve nonlinear power system differential-algebraic equations about any…

Systems and Control · Computer Science 2018-04-23 Bin Wang , Nan Duan , Kai Sun

This paper presents the performance of an AC transmission switching (TS) based real-time contingency analysis (RTCA) tool that is introduced in Part I of this paper. The approach quickly proposes high quality corrective switching actions…

With the development of PMUs in power systems, the response-based real-time emergency control becomes a promising way to prevent power outages when power systems are subjected to large disturbances. The first step in the emergency control…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Songhao Yang , Zhiguo Hao , Baohui Zhang , Masahide Hojo

Voltage instability is a major threat in power system operation. The growing presence of constant power loads significantly aggravates this issue, hence motivating the development of new analysis methods for both existence and stability of…

Systems and Control · Computer Science 2018-09-24 Alexey S. Matveev , Juan E. Machado , Romeo Ortega , Johannes Schiffer , Anton Pyrkin

This manuscript reports the first step towards building a robust and efficient model reduction methodology to capture transient dynamics in a transmission level electric power system. Such dynamics is normally modeled on…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Laurent Pagnier , Michael Chertkov , Julian Fritzsch , Philippe Jacquod

As the integration of wind power accelerates, wind power plants (WPPs) are expected to play a crucial role in ensuring stability in future power grids. This paper examines the nonlinear stability boundary of a multi-converter system in a…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Sujay Ghosh , Mohammad Kazem Bakhshizadeh , Guangya Yang , Łukasz Kocewiak