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One of the fundamental concerns in the operation of modern power systems is the assessment of their frequency stability in case of inertia-reduction induced by the large share of power electronic interfaced resources. Within this context,…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Francesco Conte , Stefano Massucco , Mario Paolone , Giacomo-Piero Schiapparelli , Federico Silvestro , Yihui Zuo

Timely recognition of voltage instability is crucial to allow for effective control and protection interventions. Phasor measurements units (PMUs) can be utilized to provide high sampling rate time-synchronized voltage and current phasors…

Systems and Control · Computer Science 2013-08-05 R. Leelaruji , L. Vanfretti , J. O. Gjerde , S. Lovlund

The increasing uncertainty in modern power systems, driven by the integration of intermittent energy sources and variable loads, underscores the need for probabilistic transient stability assessment. However, existing assessment methods…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Jingyu Liu , Xiaoting Wang , Xiaozhe Wang

Prior research has shown that autocorrelation and variance in voltage measurements tend to increase as power systems approach instability. This paper seeks to identify the conditions under which these statistical indicators provide reliable…

Physics and Society · Physics 2015-04-23 Goodarz Ghanavati , Paul D. H. Hines , Taras I. Lakoba

Coherent groups of generators, i.e., machines with perfectly correlated rotor angles, play an important role in power system stability analysis. This paper introduces a real-time methodology based on hierarchical clustering techniques for…

Signal Processing · Electrical Eng. & Systems 2021-03-01 Faycal Znidi , Hamzeh Davarikia , Heena Rathore

This paper proposes an online steady-state voltage stability assessment scheme to evaluate the proximity to voltage collapse at each bus of a load area. Using a non-iterative holomorphic embedding method (HEM) with a proposed physical germ…

Computational Engineering, Finance, and Science · Computer Science 2017-06-22 Chengxi Liu , Bin Wang , Fengkai Hu , Kai Sun , Claus Leth Bak

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

With the increasing penetration of renewable energy sources, power system operation has to be adapted to ensure the system stability and security while considering the distinguished feature of the Power Electronics (PE) interfaced…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Zhongda Chu , Fei Teng

This paper presents a trajectory tracking control strategy that modulates the active power injected by geographically distributed inverter-based resources to support transient stability. Each resource is independently controlled, and its…

Systems and Control · Electrical Eng. & Systems 2021-07-29 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen

We present an approach to compute stabilizing controllers for continuous-time linear time-invariant systems directly from an input-output trajectory affected by process and measurement noise. The proposed output-feedback design combines (i)…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Bowen Yi , Giuseppe Notarstefano

This paper introduces a distributed contingency detection algorithm for detecting unobservable contingencies in power distribution systems using stochastic hybrid system (SHS) models. We aim to tackle the challenge of limited measurement…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Erfan Mehdipour Abadi , Hamid Varmazyari , Masoud H. Nazari

This paper proposes a necessary condition for power flow insolvability in power distribution systems with distributed generators (DGs). We show that the proposed necessary condition indicates the impending singularity of the Jacobian matrix…

Optimization and Control · Mathematics 2020-12-16 Zhaoyu Wang , Bai Cui , Jianhui Wang

Global stability of the systems has always been vital of importance; however, this concept has not yet been sufficiently developed for the nonlinear systems. This paper extends the Jacobian matrix so that this method be able to seek the…

Systems and Control · Electrical Eng. & Systems 2024-11-05 seyed Mohammad Hosseindokht , SamanehAlsadat Saeedinia

Sensitivity analysis informs causal inference by assessing the sensitivity of conclusions to departures from assumptions. The consistency assumption states that there are no hidden versions of treatment and that the outcome arising…

Methodology · Statistics 2025-12-29 Brian Knaeble , Qinyun Lin , Erich Kummerfeld , Kenneth A. Frank

A new measure to characterize stability of complex dynamical systems against large perturbation is suggested, the stability threshold (ST). It quantifies the magnitude of the weakest perturbation capable to disrupt the system and switch it…

Chaotic Dynamics · Physics 2016-01-06 Vladimir V. Klinshov , Vladimir I. Nekorkin , Jürgen Kurths

In this paper, a novel convexification approach for Small-Signal Stability Constraint Optimal Power Flow (SSSC-OPF) has been presented that does not rely on eigenvalue analysis. The proposed methodology is based on the sufficient condition…

Optimization and Control · Mathematics 2021-09-17 Parikshit Pareek , Hung D. Nguyen

A reliable decision making by the operator in a smart grid is contingent upon correct analysis of intra-and-interdependencies between its entities and also on accurate identification of the most critical entities at a given point of time. A…

Systems and Control · Electrical Eng. & Systems 2021-01-29 Sohini Roy , Arunabha Sen

A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem. This is a number, computed from the data, which…

Mathematical Physics · Physics 2007-05-23 S. Gutman , A. G. Ramm , W. Scheid

Fast and accurate optimization and simulation is widely becoming a necessity for large scale transmission resiliency and planning studies such as N-1 SCOPF, batch contingency solvers, and stochastic power flow. Current commercial tools,…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Aayushya Agarwal , Amritanshu Pandey , Larry Pileggi

Suppose several two-valued input-output systems are designed by setting the levels of several controllable factors. For this situation, Taguchi method has proposed to assign the controllable factors to the orthogonal array and use ANOVA…

Methodology · Statistics 2007-06-21 Satoshi Aoki , Masami Miyakawa