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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

Time-domain simulations are a critical tool for power system operators. Depending on the instability mechanism under consideration and the system characteristics, such as the time constants of controllers, either phasor or Electro-Magnetic…

Systems and Control · Electrical Eng. & Systems 2020-02-27 Georgios Misyris , Spyros Chatzivasileiadis , Tilman Weckesser

The increasing development of the electric power grid, the largest engineered system ever, to an even more complicated and larger system requires a new generation of stability assessment methods that are computationally tractable and…

Systems and Control · Computer Science 2015-02-11 Thanh Long Vu , Konstantin Turitsyn

This paper summarizes an optimal state estimation that previously has been used in power systems and discusses the robustness of the by using a system-state controller. Static state estimation (SSE) traditionally tries to linearize power…

Systems and Control · Electrical Eng. & Systems 2020-06-08 Ramin Faraji

Single-loop elastic rings can be folded into multi-loop equilibrium configurations. In this paper, the stability of several such multi-loop states which are either circular or straight are investigated analytically and illustrated by…

Applied Physics · Physics 2023-04-06 Sophie Leanza , Ruike Renee Zhao , John W. Hutchinson

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

The theory of integral quadratic constraints (IQCs) allows verification of stability and gain-bound properties of systems containing nonlinear or uncertain elements. Gain bounds often imply exponential stability, but it can be challenging…

Systems and Control · Computer Science 2017-06-06 Ross Boczar , Laurent Lessard , Andrew Packard , Benjamin Recht

This paper studies a power transmission system with both conventional generators (CGs) and distributed energy assets (DEAs) providing frequency control. We consider an operating condition with demand aggregating two dynamic components: one…

Optimization and Control · Mathematics 2025-07-02 Mahmoud Abdelgalil , Vishal Shenoy , Guido Cavraro , Emiliano Dall'Anese , Jorge I. Poveda

We present an extension to the robust phase estimation protocol, which can identify incorrect results that would otherwise lie outside the expected statistical range. Robust phase estimation is increasingly a method of choice for…

In this paper, the variable wind power is incorporated into the dynamic model for long-term stability analysis. A theory-based method is proposed for power systems with wind power to conduct long-term stability analysis, which is able to…

Systems and Control · Computer Science 2016-11-15 Xiaozhe Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu , Tao Wang

We present a mixed complementarity problem (MCP) approach for a steady-state stability analysis of voltage and frequency of electrical grids. We perform a theoretical analysis providing conditions for the global convergence and local…

Optimization and Control · Mathematics 2021-12-16 Youngdae Kim , Kibaek Kim

Game-theoretic MPC (or Receding Horizon Games) is an emerging control methodology for multi-agent systems that generates control actions by solving a dynamic game with coupling constraints in a receding-horizon fashion. This control…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Sophie Hall , Dominic Liao-McPherson , Giuseppe Belgioioso , Florian Dörfler

Early event prediction (EEP) systems continuously estimate a patient's imminent risk to support clinical decision-making. For bedside trust, risk trajectories must be accurate and temporally stable, shifting only with new, relevant…

Machine Learning · Computer Science 2025-10-17 Mayank Keoliya , Seewon Choi , Rajeev Alur , Mayur Naik , Eric Wong

The increasing penetration of inverter-based resources (IBRs) is fundamentally reshaping power system dynamics and creating new challenges for stability assessment. Data-driven approaches, and in particular machine learning models, require…

We propose two perturbation-based extremum seeking control (ESC) schemes for general single input single output nonlinear dynamical systems, having structures similar to that of the classical ESC scheme. We propose novel adaptation laws for…

Systems and Control · Electrical Eng. & Systems 2021-01-06 Diganta Bhattacharjee , Kamesh Subbarao

With the increasing penetration of converter-interfaced distributed generation systems, it would be advantageous to specify local compliance criteria for these devices to ensure the small-signal stability of the interconnected system.…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Kaustav Dey , Anil Kulkarni

We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom. We develop a stability theory for a class of partitioned linear systems with symmetries that has…

Optimization and Control · Mathematics 2020-11-12 Taouba Jouini , Florian Dörfler

With the increasing inclusion of regenerative resources in the energy mix, their intermittent character challenges power grid stability. Hence it is essential to determine which input fluctuations power grids are particularly vulnerable to.…

Adaptation and Self-Organizing Systems · Physics 2018-01-16 Stefan Wieland , Sébastien Aumaitre , Hervé Bercegol

We consider the stability of synchronized states (including equilibrium point, periodic orbit or chaotic attractor) in arbitrarily coupled dynamical systems (maps or ordinary differential equations). We develop a general approach, based on…

Chaotic Dynamics · Physics 2009-11-07 Yonghong Chen , Govindan Rangarajan , Mingzhou Ding

Modern power system is undergoing a paradigm shift from the synchronous generators-based system to the power electronics converters-dominated system. With the high penetration of converters, serious stability problems are provoked,…

Applied Physics · Physics 2022-03-02 Haoxiang Zong , Chen Zhang , Xu Cai , Marta Molinas