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Individual-machine, superimposed-machine and equivalent-machine can be seen as the three major perspectives of the power system transient stability. In this paper, the machine paradigms are established according to the common thinking among…

Systems and Control · Electrical Eng. & Systems 2021-10-22 Songyan Wang , Jilai Yu , Aoife Foley , Jingrui Zhang

This paper analyzes the mechanisms of the equivalent machine and also its advantages in TSA. Based on the two group separations, an equivalent machine is modeled through the equivalence of the motions of all machines inside each group. This…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Songyan Wang , Jilai Yu , Aoife Foley , Jingrui Zhang

The paper analyzes the mechanisms of the individual-machine and also its advantages in TSA. Based on the critical-machine monitoring of the original system trajectory, it is clarified that the individual-machine strictly follows the machine…

Systems and Control · Electrical Eng. & Systems 2021-10-22 Songyan Wang , Jilai Yu , Aoife Foley , Jingrui Zhang

This paper focuses on the transformations from the individual machine to the equivalent machine through the "correction" perspective of the inner-group machine. The machines are first classified as the real machine with equation of motion…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Songyan Wang , Jilai Yu , Aoife Foley , Jingrui Zhang

This paper presents a novel method for transient stability analysis (TSA) that circumvents the limitations of sequential numerical integration and energy functions. The proposed method begins by constructing a trajectory-dependent stability…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Wenhao Wu , Dan Wu , Bin Wang , Jiabing Hu

Transient stability assessment (TSA) has always been a fundamental means for ensuring the secure and stable operation of power systems. Due to the integration of new elements such as power electronics, electric vehicles and renewable power…

Systems and Control · Electrical Eng. & Systems 2021-11-04 Shitu Zhang , Zhixun Zhu , Yang Li

During the normal operation of a power system all the voltages and currents are sinusoids with a frequency of 60 Hz in America and parts of Asia, or of 50Hz in the rest of the world. Forcing all the currents and voltages to be sinusoids…

Systems and Control · Computer Science 2014-02-04 Sina Y. Caliskan , Paulo Tabuada

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

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

Transient stability is crucial to the reliable operation of power systems. Existing theories rely on the simplified electromechanical models, substituting the detailed electromagnetic dynamics of inductor and capacitor with their impedance…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Xinyuan Jiang , Constantino M. Lagoa , Yan Li

Transient stability assessment (TSA) is a cornerstone for resilient operations of today's interconnected power grids. This paper is a confluence of quantum computing, data science and machine learning to potentially address the power system…

Quantum Physics · Physics 2021-05-25 Yifan Zhou , Peng Zhang

Power systems are getting more complex than ever and are consequently operating close to their limit of stability. Moreover, with the increasing demand of renewable wind generation, and the requirement to maintain a secure power system, the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Umair Shahzad

Deep learning based transient stability assessment (TSA) has achieved great success, yet the lack of interpretability hinders its industrial application. Although a great number of studies have tried to explore the interpretability of…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Hanxuan Wang , Na Lu , Zixuan Wang , Jiacheng Liu , Jun Liu

Motivated by the instability of suspension bridges, we consider a class of second order Hamiltonian systems where one component initially holds almost all the energy of the system. We show that if the total energy is sufficiently small then…

Classical Analysis and ODEs · Mathematics 2014-10-10 E. Berchio , F. Gazzola , C. Zanini

Analyzing system trajectory from the perspective of individual machines provides a distinctive angle to analyze the transient stability of power systems. This two-paper series propose a direct-time-domain method that is based on the…

Signal Processing · Electrical Eng. & Systems 2017-12-05 Songyan Wang , Non-member , Jilai Yu , Wei Zhang

Chaos is an inherently dynamical phenomenon traditionally studied for trajectories that are either permanently erratic or transiently influenced by permanently erratic ones lying on a set of measure zero. The latter gives rise to the final…

Chaotic Dynamics · Physics 2013-11-12 Adilson E. Motter , Marton Gruiz , Gyorgy Karolyi , Tamas Tel

Existing dynamics prediction frameworks for transient stability analysis (TSA) fail to achieve multi-scenario "universality": the inherent ability of a single, pre-trained architecture to generalize across diverse operating conditions,…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Chao Shen , Ke Zuo , Mingyang Sun

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

Dynamical Systems · Mathematics 2014-11-04 Ugo Galvanetto , Luca Magri

Families of regimes for control systems are studied possessing the so called quasi-controllability property that is similar to the Kalman controllability property. A new approach is proposed to estimate the degree of transients overshooting…

Optimization and Control · Mathematics 2009-09-25 V. S. Kozyakin , N. A. Kuznetsov , A. V. Pokrovskii

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
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