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There has been significant increase in penetration of renewable generation (RG) sources all over the world. Localized concentration of many such generators could initiate a cascade tripping sequence that might threaten the stability of the…

系统与控制 · 计算机科学 2019-11-19 Chetan Mishra , James S. Thorp , Anamitra Pal , Virgilio A. Centeno

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…

系统与控制 · 电气工程与系统科学 2020-02-05 Chen Wang , Chetan Mishra , Virgilio A. Centeno

Traditional Lyapunov based transient stability assessment approaches focus on identifying the stability region (SR) of the equilibrium point under study. When trying to estimate this region using Lyapunov functions, the shape of the final…

动力系统 · 数学 2019-11-19 Chetan Mishra , James S. Thorp , Virgilio A. Centeno , Anamitra Pal

Stability analysis tools are essential to understanding and controlling any engineering system. Recently sum-of-squares (SOS) based methods have been used to compute Lyapunov based estimates for the region-of-attraction (ROA) of polynomial…

动力系统 · 数学 2015-01-23 Soumya Kundu , Marian Anghel

The joint spectral radius (JSR) of a set of matrices characterizes the maximal asymptotic growth rate of an infinite product of matrices of the set. This quantity appears in a number of applications including the stability of switched and…

最优化与控制 · 数学 2017-10-06 B. Legat , P. A. Parrilo , R. M. Jungers

Inverter based renewable generation (RG), especially at the distribution level, is supposed to trip offline during an islanding situation. However, islanding detection is done by comparing the voltage and frequency measurements at the point…

系统与控制 · 电气工程与系统科学 2020-01-28 Chen Wang , Chetan Mishra , Reetam Sen Biswas , Anamitra Pal , Virgilio A. Centeno

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not…

最优化与控制 · 数学 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

The joint spectral radius (JSR) of a set of matrices characterizes the maximal asymptotic growth rate of an infinite product of matrices of the set. This quantity appears in a number of applications including the stability of switched and…

最优化与控制 · 数学 2019-07-03 Benoît Legat , Pablo A. Parrilo , Raphaël M. Jungers

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…

系统与控制 · 电气工程与系统科学 2023-06-13 Mohammad Kazem Bakhshizadeh , Sujay Ghosh , Guangya Yang , Łukasz Kocewiak

This work estimates safe invariant subsets of the Region of Attraction (ROA) for a seven-state vehicle-with-driver system, capturing both asymptotic stability and the influence of state-safety bounds along the system trajectory. Safe sets…

机器人学 · 计算机科学 2025-12-08 Martino Gulisano , Marco Gabiccini

Recently sum-of-squares (SOS) based methods have been used for the stability analysis and control synthesis of polynomial dynamical systems. This analysis framework was also extended to non-polynomial dynamical systems, including power…

动力系统 · 数学 2015-03-27 Soumya Kundu , Marian Anghel

In this paper, we present a novel approach to determine the stability of switched linear and nonlinear systems using Sum of Squares optimisation. Particularly, we use Sum of Squares optimisation to search for a Lyapunov function that…

动力系统 · 数学 2023-06-26 Jacopo Piccini , Elias August , Sigurdur Hafstein , Stefania Andersen

The significant electrical distance between wind power collection points and the main grid poses challenges for weak grid-connected wind power systems. A new type of voltage oscillation phenomenon induced by repeated low voltage…

系统与控制 · 电气工程与系统科学 2024-05-09 Qiping Lai , Chen Shen , Dongsheng Li

Power injection uncertainties in distribution power grids, which are mostly induced by aggressive introduction of intermittent renewable sources, may drive the system away from normal operating regimes and potentially lead to the loss of…

最优化与控制 · 数学 2018-11-21 Hung D. Nguyen , Krishnamurthy Dvijotham , Suhyoun Yu , Konstantin Turitsyn

It is speculated that higher penetration of inverter-based distributed photo-voltaic (PV) power generators can increase the risk of tripping events due to voltage fluctuations. To quantify this risk utilities need to solve the interactive…

系统与控制 · 电气工程与系统科学 2020-02-17 Kaveh Dehghanpour , Yuxuan Yuan , Fankun Bu , Zhaoyu Wang

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…

系统与控制 · 计算机科学 2015-02-11 Thanh Long Vu , Konstantin Turitsyn

Managing uncertainty is a fundamental and critical issue in spacecraft entry guidance. This paper presents a novel approach for uncertainty propagation during entry, descent and landing that relies on a new sum-of-squares robust…

机器人学 · 计算机科学 2020-11-05 Remy Derollez , Simon Le Cleac'h , Zachary Manchester

As the integration of renewable energy generation increases and as conventional generation is phased out, there is a gradual decline in the grid's strength and resilience at the connection point of wind turbines (WTs). Previous studies have…

系统与控制 · 电气工程与系统科学 2023-11-28 Sujay Ghosh , Mohammad Kazem Bakhshizadeh , Guangya Yang , Łukasz Kocewiak

As power systems evolve with increasing production from Inverter-Based Resources (IBRs), their underlying dynamics are undergoing significant changes that can jeopardize system operation, leading to poorly damped oscillations or…

系统与控制 · 电气工程与系统科学 2025-11-10 Jovan Krajacic , Keith Moffat , Gustavo Valverde

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…

动力系统 · 数学 2019-11-19 Chetan Mishra , Reetam Sen Biswas , Anamitra Pal , Virgilio A. Centeno
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