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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

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

Growing penetration of renewable generation in power systems brings more challenges in transient stability assessment using direct methods. One of the reasons is the inability to assess the risk of instability brought by tripping of a large…

Systems and Control · Electrical Eng. & Systems 2020-02-05 Chen Wang , Chetan Mishra , Virgilio A. Centeno

Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of Dynamic Security Assessment. This paper proposes a novel approach for assessment of transient stability of the…

Systems and Control · Computer Science 2017-11-01 Thanh Long Vu , Konstantin Turitsyn

In this paper, we propose a new robustness notion that is applicable for certifying systems' safety with respect to external disturbance signals. The proposed input-to-state safety (ISSf) notion allows us to certify systems' safety in the…

Systems and Control · Computer Science 2019-02-01 Muhammad Zakiyullah Romdlony , Bayu Jayawardhana

As the proportion of converter-interfaced renewable energy resources in the power system is increasing, the strength of the power grid at the connection point of wind turbine generators (WTGs) is gradually weakening. Existing research has…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Mohammad Kazem Bakhshizadeh , Sujay Ghosh , Guangya Yang , Łukasz Kocewiak

Security assessment of large-scale, strongly nonlinear power grids containing thousands to millions of interacting components is a computationally expensive task. Targeting at reducing the computational cost, this paper introduces a…

Systems and Control · Computer Science 2017-11-01 Thanh Long Vu , Konstantin Turitsyn

Due to the rise of distributed energy resources, the control of networks of grid-forming inverters is now a pressing issue for power system operation. Droop control is a popular control strategy in the literature for frequency control of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Kevin D. Smith , Saber Jafarpour , Francesco Bullo

Estimating the stability boundary is a fundamental and challenging problem in transient stability studies. It is known that a proper level set of a Lyapunov function or an energy function can provide an inner approximation of the stability…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Peng Yang , Feng Liu , Wei Wei , Zhaojian Wang

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

For many nonlinear control systems, the chosen equilibrium determines both the steady-state efficiency and the dynamic performance. This paper addresses the issue of obtaining an optimal equilibrium in terms of some steady-state operation…

Optimization and Control · Mathematics 2017-11-23 Qifeng Li , Qiushi Wang , Konstantin Turitsyn

When the state of a system may remain bounded even if both the input amplitude and energy are unbounded, then the state bounds given by the standard input-to-state stability (ISS) and integral-ISS (iISS) properties may provide no useful…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Hernan Haimovich , Shenyu Liu , Antonio Russo , Jose L. Mancilla-Aguilar

Power system stability indices are used as measures to evaluate and quantify the response of the system to external large disturbances. This paper provides a comparative analysis of established transient stability indices. The indices…

Systems and Control · Electrical Eng. & Systems 2020-01-13 Amirhossein Sajadi , Robin Preece , Jovica Milanovic

We study singularly perturbed systems that exhibit input-to-state stability (ISS) with fixed-time properties in the presence of bounded disturbances. In these systems, solutions converge to the origin within a time frame independent of…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Michael Tang , Miroslav Krstic , Jorge Poveda

Incorporating renewable energy sources into modern power grids has significantly decreased system inertia, which has raised concerns about power system vulnerability to disturbances and frequency instability. The conventional methods for…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Negar Monir , Mahdieh S. Sadabadi , Sadegh Soudjani

This paper proposes a distributed strategy regulated on a subset of individual buses in a power network described by the swing equations to achieve transient frequency control while preserving asymptotic stability. Transient frequency…

Systems and Control · Computer Science 2018-09-18 Yifu Zhang , Jorge Cortes

Input-to-State Stability (ISS) is fundamental in mathematically quantifying how stability degrades in the presence of bounded disturbances. If a system is ISS, its trajectories will remain bounded, and will converge to a neighborhood of an…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Preston Culbertson , Ryan K. Cosner , Maegan Tucker , Aaron D. Ames

In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Understanding the dynamics of stressed power systems with a range…

Systems and Control · Computer Science 2017-10-31 Thanh Long Vu , Hung Dinh Nguyen , Alexandre Megretski , Jean-Jacques Slotine , Konstantin Turitsyn

To support N-1 pre-fault transient stability assessment, this paper introduces a new data collection method in a data-driven algorithm incorporating the knowledge of power system dynamics. The domain knowledge on how the disturbance effect…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Seyedali Meghdadi , Guido Tack , Ariel Liebman , Nicolas Langrené , Christoph Bergmeir

Uneven terrain necessarily transforms periodic walking into a non-periodic motion. As such, traditional stability analysis tools no longer adequately capture the ability of a bipedal robot to locomote in the presence of such disturbances.…

Robotics · Computer Science 2023-06-12 Maegan Tucker , Aaron D. Ames
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