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With the growth of renewable generation (RG) and the development of associated ride through curves serving as operating limits, during disturbances, on violation of these limits, the power system is at risk of losing large amounts of…

Dynamical Systems · Mathematics 2019-11-19 Chetan Mishra , Reetam Sen Biswas , Anamitra Pal , Virgilio A. Centeno

The increasing penetration of renewables is replacing traditional synchronous generation in modern power systems with low-inertia asynchronous converter-interfaced generators (CIGs). This penetration threatens the dynamic stability of the…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Xuezao Wang , Yijun Xu , Wei Gu , Kai Liu , Shuai Lu , Mert Korkali , Lamine Mili

Standard power system models are parameter dependent differential-algebraic equation (DAE) type. Following a transient event, voltage collapse can occur as a bifurcation of the transient load flow solutions which is marked by the system…

Systems and Control · Electrical Eng. & Systems 2020-02-24 Chetan Mishra , Chen Wang , Xin Xu , Virgilio A. Centeno

An analytic approximation for the critical clearing time (CCT) metric is derived from direct methods for power system stability. The formula has been designed to incorporate as many features of transient stability analysis as possible such…

Optimization and Control · Mathematics 2015-05-21 Lewis Roberts , Alan Champneys , Keith Bell , Mario di Bernardo

Transient stability and critical clearing time (CCT) are important concepts in power system protection and control. This paper explores and compares various learning-based methods for predicting CCT under uncertainties arising from…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Xingjian Wu , Xiaoting Wang , Xiaozhe Wang , Peter E. Caines , Jingyu Liu

Standard power systems are modeled using differential-algebraic equations (DAE). Following a transient event, voltage collapse can occur as a bifurcation of the transient load flow solutions which is marked by the system trajectory reaching…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Chetan Mishra

This paper is concerned with estimating critical clearing times in the transient stability problem of power grids without extensive time-domain simulations. We consider a highdimensional post-fault system (the grid after the fault is…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Willem Esterhuizen , Gyula Molnár , Tim Aschenbruck , Franz Rußwurm , Halil Askan , Stefan Streif

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 line potential energy in the cutset is used as the criterion for monitoring the generator instability, but the criterion has the following two limitations due to narrowly defined conditions. The assumption of an ideal constant power…

Systems and Control · Electrical Eng. & Systems 2021-06-30 Xiao Li , Chongru Liu , Jin Ma

A key quality of any kind of system is its ability to deliver its respective service correctly. Often the unavailability of commercial systems may lead to lost revenue, which are minor compared to what may be at stake when critical…

Networking and Internet Architecture · Computer Science 2023-08-31 Armin Stocker , Hermann de Meer

This paper proposes a novel Gronwall inequality-based method for transient stability assessment for power systems. The challenges of applying such methods to power systems are how to construct the differential inequality and how to treat…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Qian Zhang , Deqiang Gan

Power system expansion models are a widely used tool for planning powersystems, especially considering the integration of large shares of renewableresources. The backbone of these models is an optimization problem, whichdepends on a number…

Physics and Society · Physics 2021-08-26 Bruno U. Schyska , Alexander Kies , Markus Schlott , Lueder von Bremen , Wided Medjroubi

This paper investigates the critical-time criteria as a security metric for controlled systems subject to sharp input anomalies (attack, fault), characterized by having high impact in a reduced amount of time (e.g. denial-of-service, attack…

Systems and Control · Electrical Eng. & Systems 2023-07-26 Arthur Perodou , Christophe Combastel , Ali Zolghadri

Critical quantum metrology relies on the extreme sensitivity of a system's eigenstates near the critical point of a quantum phase transition to Hamiltonian perturbations. This means that these eigenstates are extremely sensitive to all the…

Quantum Physics · Physics 2025-06-12 George Mihailescu , Steve Campbell , Karol Gietka

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

In this paper, we present a novel framework for quantifying a lower bound on resilience in continuous-time (non)linear systems subject to external disturbances while ensuring satisfaction of signal temporal logic specifications. Unlike…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Ratnangshu Das , Negar Monir , Youssef Ait Si , Adnane Saoud , Sadegh Soudjani , Pushpak Jagtap

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

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

Physics and Society · Physics 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

We propose a new approach to compute an interval over-approximation of the finite time reachable set for a large class of nonlinear systems. This approach relies on the notions of sensitivity matrices, which are the partial derivatives…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Pierre-Jean Meyer , Murat Arcak
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