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The spontaneous breaking of time-translation symmetry in periodically driven quantum systems leads to a new phase of matter: discrete time crystals (DTC). This phase exhibits collective subharmonic oscillations that depend upon an interplay…

Statistical Mechanics · Physics 2020-04-21 Norman Y. Yao , Chetan Nayak , Leon Balents , Michael P. Zaletel

An accurate and up-to-date topology is critical for situational awareness of a power grid; however, wrong switch statuses due to physical damage, communication error, or cyber-attack, can often result in topology errors. To maintain…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Shimiao Li , Amritanshu Pandey , Larry Pileggi

Load shedding is the last and most expensive control action against system collapse and blackout. Achievement of an efficient emergency control to stabilize the power system following severe disturbances, requires two key objectives. First,…

Optimization and Control · Mathematics 2016-11-30 Bakhtyar Hoseinzadeh , M. Hadi Amini , Claus Leth Bak

We introduce a quantum algorithm for simulating the dynamics of electrical circuits consisting of resistors, inductors and capacitors (aka RLC circuits) along with power sources. Given oracle access to the connectivity of the circuit and…

Quantum Physics · Physics 2026-04-30 Arkopal Dutt , Anirban Chowdhury , Kristan Temme , Hari Krovi

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

The paper focuses on the numerical stability and accuracy of implicit time-domain integration (TDI) methods when applied for the solution of a power system model impacted by time delays. Such a model is generally formulated as a set of…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Andreas Bouterakos , Georgios Tzounas

This letter proposes a mass-matrix differential-algebraic equation (DAE) formulation for transient stability simulation. This formulation has two prominent advantages: compatible with a multitude of implicit DAE solvers and can be…

Systems and Control · Electrical Eng. & Systems 2020-08-11 Hantao Cui , Fangxing Li , Joe H. Chow

The solvability and stability analysis of linear time invariant systems of delay differential-algebraic equations (DDAEs) is analyzed. The behavior approach is applied to DDAEs in order to establish characterizations of their solvability in…

Dynamical Systems · Mathematics 2020-05-13 Phi Ha

The power system, a fundamental public utility, is increasingly important due to growing global electricity demand. Recent large-scale blackouts (e.g., Iberian Peninsula, UK) have raised concerns about transient stability under impact…

Dynamical Systems · Mathematics 2026-05-19 Sixu Wu , Chenmin Zhang , Aiqing Zhu , Yang Liu , Jianxi Lin , Yifa Tang

Contingency screening for transient stability of large-scale, strongly nonlinear, interconnected power systems is one of the most computationally challenging parts of Dynamic Security Assessment and requires huge resources to perform…

Systems and Control · Computer Science 2017-11-01 Thanh Long Vu , Surour Al Araifi , Mohamed Elmoursi , Konstantin Turitsyn

In the context of high penetration of renewables, the need to build dynamic models of power system components based on accessible measurement data has become urgent. To address this challenge, firstly, a neural ordinary differential…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Tannan Xiao , Ying Chen , Shaowei Huang , Tirui He , Huizhe Guan

In this paper, we discuss a method to find the most influential power system parameters to the probabilistic transient stability assessment problem---finding the probability distribution of the critical clearing time. We perform the…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Raphael L. V. Fortulan , Luís F. C. Alberto

The behavior of a dynamical system can exhibit abrupt changes when it crosses a tipping point. To prevent catastrophic events, it is useful to analyze indicators of the incoming bifurcation, as the divergence of the relaxation time of the…

Statistical Mechanics · Physics 2024-03-28 Mathias Marconi , Karin Alfaro-Bittner , Lucas Sarrazin , Massimo Giudici , Jorge R. Tredicce

Despite growing interest in data-driven analysis and control of linear systems, descriptor systems--which are essential for modeling complex engineered systems with algebraic constraints like power and water networks--have received…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Yuan Zhang , Yu Wang , Jun Shang , Jinhui Zhang

With the increasing penetration of renewable energy sources, grid-forming (GFM) inverters are becoming essential for voltage and frequency regulation. However, the transient stability of GFM inverter is critically affected by the current…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Dewan Mahnaaz Mahmud , Vinu Thomas , Bogdan Marinescu , Mickaël Hilairet

This paper addresses the classic problem of parameter estimation (PE) in multimachine power system models. Such models are typically described by a set of nonlinear differential-algebraic equations (DAE), where generator physics and network…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Abdallah Alalem Albustami , Ahmad F. Taha , Sankaran Mahadevan

Four-dimensional CDT (causal dynamical triangulations) is a lattice theory of geometries which one might use in an attempt to define quantum gravity non-perturbatively, following the standard procedures of lattice field theory. Being a…

High Energy Physics - Theory · Physics 2020-03-19 J. Ambjorn , D. Coumbe , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz

The critical value of the atom-field coupling strength for a finite number of atoms is deter- mined by means of both, semiclassical and exact solutions. In the semiclassical approach we use a variational procedure with coherent and…

Quantum Physics · Physics 2012-12-05 Octavio Castaños , Eduardo Nahmad-Achar , Ramón López-Peña , Jorge G. Hirsch

System identification through learning approaches is emerging as a promising strategy for understanding and simulating dynamical systems, which nevertheless faces considerable difficulty when confronted with power systems modeled by…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Wenjie Mei , Muhammad Nadeem , MirSaleh Bahavarnia , Ahmad F. Taha

This paper presents a novel centralized, variational data assimilation approach for calibrating transient dynamic models in electrical power systems, focusing on load model parameters. With the increasing importance of inverter-based…

Optimization and Control · Mathematics 2023-11-15 Ahmed Attia , D. Adrian Maldonado , Emil Constantinescu , Mihai Anitescu