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Due to the black-box nature of inverters and the wide variation range of operating points, it is challenging to on-line predict and adaptively enhance the stability of inverter-based systems. To solve this problem, this paper provides a…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Yang Li , Xiangyang Wu , Zhikang Shuai , Junbin Fang , Lili He , Yi Lei , Z. John Shen

Mapper is an unsupervised machine learning algorithm generalising the notion of clustering to obtain a geometric description of a dataset. The procedure splits the data into possibly overlapping bins which are then clustered. The output of…

Algebraic Topology · Mathematics 2019-06-05 Francisco Belchí , Jacek Brodzki , Matthew Burfitt , Mahesan Niranjan

We propose a method to decompose dynamical systems based on the idea that modules constrain the spread of perturbations. We find partitions of system variables that maximize 'perturbation modularity', defined as the autocovariance of…

Physics and Society · Physics 2022-11-22 Artemy Kolchinsky , Alexander J. Gates , Luis M. Rocha

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…

Optimization and Control · Mathematics 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

Quantifying the potential benefits of microgrids in the design phase can support the transition of passive distribution networks into microgrids. At current, reliability and resilience are the main drivers for this transition. Therefore,…

Optimization and Control · Mathematics 2020-06-12 Raphael Wu , Giovanni Sansavini

Online identification of post-contingency transient stability is essential in power system control, as it facilitates the grid operator to decide and coordinate system failure correction control actions. Utilizing machine learning methods…

Systems and Control · Computer Science 2017-05-23 James J. Q. Yu , David J. Hill , Albert Y. S. Lam , Jiatao Gu , Victor O. K. Li

This paper demonstrates the concept of probabilistic stability assessment on large-signal stability in the use case of short circuits in an active distribution grid. Here, the concept of survivability is applied, which extends classical…

Systems and Control · Electrical Eng. & Systems 2021-06-18 Sebastian Liemann , Lia Strenge , Paul Schultz , Holm Hinners , Johannis Porst , Marcel Sarstedt , Frank Hellmann

This paper investigates the dynamic interactions between large-scale data centers and the power grid, focusing on reliability challenges arising from sudden fluctuations in demand. With the rapid growth of AI-driven workloads, such…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Kyung-Bin Kwon , Sayak Mukherjee , Veronica Adetola

The problem of existence and stability of equilibria of DC microgirds with constant power loads methods is addressed in this paper. Constant power loads (CPLs) often cause instability due to its negative impedance characteristics. What is…

Systems and Control · Computer Science 2018-07-30 Zhangjie Liu , Mei Su , Yao Sun , Wenbin Yuan , Hua Han

State-space analysis is widely employed for examining power system dynamics but faces challenges in large-scale power systems integrated with numerous inverter-based resources (IBRs), where the significant increase of system states…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Yao Qin , Yitong Li , Wei Wang , Shaoze Zhou , Zheng Wei , Jinjun Liu

Renewable-driven microgrids dominated by grid-forming (GFM) converters are subject to persistent power fluctuations, making equilibrium-known stability assessments restrictive. This paper develops an equilibrium-free contraction stability…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Shijie Peng , Xiuqiang He , Xi Ru , Hua Geng

Clustered standard errors and approximate randomization tests are popular inference methods that allow for dependence within observations. However, they require researchers to know the cluster structure ex ante. We propose a procedure to…

Econometrics · Economics 2022-01-14 Yong Cai

In computer vision, the estimation of the fundamental matrix is a basic problem that has been extensively studied. The accuracy of the estimation imposes a significant influence on subsequent tasks such as the camera trajectory…

Computer Vision and Pattern Recognition · Computer Science 2015-04-15 Hao Wu , Yi Wan

This paper proposes a holistic framework for parameter coordination of a power electronic-interfaced microgrid interconnection against natural disasters. The paper identifies a transient stability issue in a microgrid interconnection. Based…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Tong Huang , Hongbo Sun , Kyeong Jin Kim , Daniel Nikovski , Le Xie

Ground fault detection in inverter-based microgrid (IBM) systems is challenging, particularly in a real-time setting, as the fault current deviates slightly from the nominal value. This difficulty is reinforced when there are partially…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Jingwei Dong , Yucheng Liao , Haiwei Xie , Jochen Cremer , Peyman Mohajerin Esfahani

There are many cluster analysis methods that can produce quite different clusterings on the same dataset. Cluster validation is about the evaluation of the quality of a clustering; "relative cluster validation" is about using such criteria…

Methodology · Statistics 2020-09-10 Christian Hennig

In this paper we study theoretical properties of inverter-based microgrids controlled via primary and secondary loops. Stability of these microgrids has been the subject of a number of recent studies. Conventional approaches based on…

Systems and Control · Computer Science 2014-09-17 Rahmat Heidari , Maria Seron , Julio Braslavsky

With the increasing number of compute components, failures in future exa-scale computer systems are expected to become more frequent. This motivates the study of novel resilience techniques. Here, we extend a recently proposed…

Mathematical Software · Computer Science 2018-04-18 Markus Huber , Ulrich Rüde , Barbara Wohlmuth

The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless and constant $R/X$ grids with highly heterogeneous mixes of…

Optimization and Control · Mathematics 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann

Stability selection is a popular method for improving feature selection algorithms. One of its key attributes is that it provides theoretical upper bounds on the expected number of false positives, E(FP), enabling false positive control in…

Methodology · Statistics 2025-07-18 Omar Melikechi , Jeffrey W. Miller