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This work presents a numerical analysis of computing transition states of semilinear elliptic partial differential equations (PDEs) via the index-1 saddle dynamics, or equivalently, the gentlest ascent dynamics. To establish clear…

Numerical Analysis · Mathematics 2025-11-25 Lei Zhang , Xiangcheng Zheng , Shangqin Zhu

In this paper we present FASE (Fast Asynchronous Systems Evaluation), a tool for evaluating worst-case efficiency of asynchronous systems. This tool implements some well-established results in the setting of a timed CCS-like process…

Logic in Computer Science · Computer Science 2011-05-10 Massimo Callisto De Donato , Maria Rita Di Berardini

This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Yifan Su , Xiaoyu Peng , Hua Geng , Feng Liu

This study introduces an advanced transient stability assessment (TSA) method for power systems, addressing the challenges of sample class imbalance and data noise through a novel CatBoost algorithm framework. By implementing a Gradient…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Zheheng Wang

The paper provides a novel framework to study the accuracy and stability of numerical integration schemes when employed for the time domain simulation of power systems. A matrix pencil-based approach is adopted to evaluate the error between…

Systems and Control · Electrical Eng. & Systems 2022-01-25 Georgios Tzounas , Ioannis Dassios , Federico Milano

A new simulation technique to obtain the synchronized steady-state solutions existing in coupled oscillator systems is presented. The technique departs from a semi-analytical formulation presented in previous works. It extends the model of…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Pedro Umpierrez , Victor Arana , Sergio Sancho

In this paper, we consider an extended concept of invariant for polynomial dynamical system (PDS) with domain and initial condition, and establish a sound and complete criterion for checking semi-algebraic invariants (SAI) for such PDSs.…

Symbolic Computation · Computer Science 2011-07-22 Jiang Liu , Naijun Zhan , Hengjun Zhao

Theory of simulated annealing (SA), a method for equilibrium and stability analyses for Hamiltonian systems, is reviewed. The SA explained in this review is based on a double bracket formulation that derives from Hamiltonian structure. In…

Plasma Physics · Physics 2024-09-27 M. Furukawa , P. J. Morrison

This paper presents SIaD-Tool, an open-source frequency-domain (FD) scanning solution for stability and interaction assessment in modern power systems. The tool enables multi-sequence identification in the abc, dq0, and 0pn frames and…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Luis A. Garcia-Reyes , Oriol Gomis-Bellmunt , Eduardo Prieto-Araujo , Vinícius A. Lacerda , Marc Cheah-Mañe

As power systems transition toward renewable-rich and inverter-dominated operations, accurate time-domain dynamic analysis becomes increasingly critical. Such analysis supports key operational tasks, including transient stability…

Artificial Intelligence · Computer Science 2026-04-17 Haoran Li , Lihao Mai , Chenhan Xiao , Erik Blasch , Yang Weng

Domain-specific systems-on-chip (DSSoCs) aim at bridging the gap between application-specific integrated circuits (ASICs) and general-purpose processors. Traditional operating system (OS) schedulers can undermine the potential of DSSoCs…

Hardware Architecture · Computer Science 2021-09-24 A. Alper Goksoy , Anish Krishnakumar , Md Sahil Hassan , Allen J. Farcas , Ali Akoglu , Radu Marculescu , Umit Y. Ogras

Sustained oscillations (SOs) are commonly observed in systems dominated by converters. Under specific conditions, even though the origin of SOs can be identified through negative damping modes using conventional linear analysis, utilizing…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Chongbin Zhao , Qirong Jiang

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

Online transient stability assessment (TSA) is essential for secure and stable power system operations. The growing number of Phasor Measurement Units (PMUs) brings about massive sources of data that can enhance online TSA. However,…

Systems and Control · Electrical Eng. & Systems 2021-12-16 Rui Ma , Sara Eftekharnejad , Chen Zhong , Mustafa Cenk Gursoy

We propose a novel approach to symbolic timing analysis for digital integrated circuits based on recently developed analytic delay formulas for 2-input NOR, NAND, and Muller-C gates by Ferdowsi et al. (NAHS 2025). Given a fixed order of the…

Hardware Architecture · Computer Science 2025-10-21 Era Thaqi , Dennis Eigner , Arman Ferdowsi , Ulrich Schmid

This paper assesses the transient stability of a synchronous machine connected to an infinite bus through the notion of invariant sets. The problem of computing a conservative approximation of the maximal positive invariant set is…

Optimization and Control · Mathematics 2018-11-22 Antoine Oustry , Carmen Cardozo , Patrick Panciatici , Didier Henrion

An important monitoring task for power systems is accurate estimation of the system operation state. Under the nonlinear AC power flow model, the state estimation (SE) problem is inherently nonconvex giving rise to many local optima. In…

Applications · Statistics 2012-06-22 Hao Zhu , Georgios B. Giannakis

Operating modern power grids with stability guarantees is admittedly imperative. Classic stability methods are not well-suited for these dynamic systems as they involve centralized gathering of information and computation of the system's…

Systems and Control · Electrical Eng. & Systems 2020-03-18 Stefanos Baros , Andrey Bernstein , Nikos Hatziargyriou

Taking full advantage of synchrophasors provided by GPS-based wide-area measurement system (WAMS), a novel VBpMKL-based transient stability assessment (TSA) method through multifeature fusion is proposed in this paper. First, a group of…

Signal Processing · Electrical Eng. & Systems 2018-09-12 Yang Li , Guoqing Li , Zhenhao Wang , Zijiao Han , Xue Bai

In this paper, we present FASE (Faster Asynchronous Systems Evaluation), a tool for evaluating the worst-case efficiency of asynchronous systems. The tool is based on some well-established results in the setting of a timed process algebra…

Logic in Computer Science · Computer Science 2011-05-10 Federico Buti , Massimo Callisto De Donato , Flavio Corradini , Maria Rita Di Berardini , Walter Vogler