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Power system stability indices are used as measures to evaluate and quantify the response of the system to external large disturbances. This paper provides a comparative analysis of established transient stability indices. The indices…

Systems and Control · Electrical Eng. & Systems 2020-01-13 Amirhossein Sajadi , Robin Preece , Jovica Milanovic

Transient stability analysis (TSA) plays an important role in power system analysis to investigate the stability of power system. Traditionally, transient stability analysis methods have been developed using time domain simulation by means…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Xiang Zhang , Renchang Dai , Peng Wei , Yijing Liu , Guangyi Liu , Zhiwei Wang

Stability is a very important property of any physical system. By a stable system, we broadly mean that small disturbances either in the system inputs or in the initial conditions do not lead to large changes in the overall behavior of the…

Information Theory · Computer Science 2013-02-27 Ratnadip Adhikari

Accurate transient stability assessment is a crucial prerequisite for proper power system operation and planning with various operational constraints. Transient stability assessment of modern power systems is becoming very challenging due…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Umair Shahzad

Incremental stability is a property of dynamical systems ensuring the uniform asymptotic stability of each trajectory rather than a fixed equilibrium point or trajectory. Here, we introduce a notion of incremental stability for stochastic…

Systems and Control · Computer Science 2017-05-08 Pushpak Jagtap , Majid Zamani

Transient stability assessment is an integral part of dynamic security assessment of power systems. Traditional methods of transient stability assessment, such as time domain simulation approach and direct methods, are appropriate for…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Umair Shahzad

In this paper, we propose a new approach to prove stability of non-linear discrete-time systems. After introducing the new concept of stability contractor, we show that the interval centred form plays a fundamental role in this context and…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Auguste Bourgois , Luc Jaulin

In this paper, we investigate system theoretic properties of transient average constrained economic model predictive control (MPC) without terminal constraints. We show that the optimal open-loop solution passes by the optimal steady-state…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Mario Rosenfelder , Johannes Köhler , Frank Allgöwer

This letter presents a shifted passivity analysis of the single-machine infinite-bus system in the stationary ($\alpha\beta$) reference frame. We study the attractivity of a periodic synchronous steady state with constant rotor frequency…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Xinyuan Jiang

We propose an approach for single spin measurement. Our method uses techniques from the theory of quantum cellular automata to correlate a large amount of ancillary spins to the one to be measured. It has the distinct advantage of being…

Quantum Physics · Physics 2011-11-09 Carlos A. Perez-Delgado , Michele Mosca , Paola Cappellaro , David G. Cory

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

The Method of Successive Approximations (MSA) is a fixed-point iterative method used to solve stochastic optimal control problems. It is an indirect method based on the conditions derived from the Stochastic Maximum Principle (SMP), an…

Optimization and Control · Mathematics 2024-05-14 Safouane Taoufik , Badr Missaoui

Critical embedded systems have to provide a high level of dependability. In automotive domain, for example, TDMA protocols are largely recommended because of their deterministic behavior. Nevertheless, under the transient environmental…

Other Computer Science · Computer Science 2007-05-23 Françoise Simonot-Lion , François Simonot , Ye-Qiong Song

Incremental stability is a property of dynamical and control systems, requiring the uniform asymptotic stability of every trajectory, rather than that of an equilibrium point or a particular time-varying trajectory. Similarly to stability,…

Optimization and Control · Mathematics 2012-07-03 Majid Zamani , Nathan van de Wouw , Rupak Majumdar

The fundamental mechanism of transient stability of the conventional power system can be physically understood with the rotor swing dynamics of synchronous generators (SGs). The basic factor affecting the transient stability is the…

Systems and Control · Electrical Eng. & Systems 2020-10-27 Xiuqiang He , Hua Geng

Nonlinear modal decoupling (NMD) was recently proposed to nonlinearly transform a multi-oscillator system into a number of decoupled oscillators which together behave the same as the original system in an extended neighborhood of the…

Systems and Control · Computer Science 2018-11-12 Bin Wang , Kai Sun , Xin Xu

The self-attention mechanism (SAM) is widely used in various fields of artificial intelligence and has successfully boosted the performance of different models. However, current explanations of this mechanism are mainly based on intuitions…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Zhongzhan Huang , Mingfu Liang , Jinghui Qin , Shanshan Zhong , Liang Lin

The rotating saddle not only is an interesting system that is able to trap a ball near its saddle point, but can also intuitively illustrate the operating principles of quadrupole ion traps in modern physics. Unlike the conventional models…

Classical Physics · Physics 2017-11-22 Wenkai Fan , Li Du , Sihui Wang , Huijun Zhou

In this paper we study a class of \emph{self-consistent dynamical systems}, self-consistent in the sense that the discrete time dynamics is different in each step depending on current statistics. The general framework admits popular…

Dynamical Systems · Mathematics 2022-09-22 Fanni M. Sélley

This paper addresses the stability problem for discrete-time switched systems under autonomous switching. Each mode of the switched system is modeled as a Linear Parameter Varying (LPV) system, the time-varying parameters can vary…

Systems and Control · Electrical Eng. & Systems 2020-05-13 Márcio J. Lacerda , Cristiano M. Agulhari