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In this paper, we consider the stability analysis of large-scale distributed networked control systems with random communication delays between linearly interconnected subsystems. The stability analysis is performed in the Markov jump…

Systems and Control · Computer Science 2015-11-13 Kooktae Lee , Raktim Bhattacharya

In a power grid with growing penetrations of renewable energy sources, inverters play a larger role in the dynamic interactions among network components. However, much is yet to be studied regarding inverter-dominated grid stability. This…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Ruth Kravis , Gabriel Colon-Reyes , Duncan Callaway

This paper proposes a novel Gronwall inequality-based method for transient stability assessment for power systems. The challenges of applying such methods to power systems are how to construct the differential inequality and how to treat…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Qian Zhang , Deqiang Gan

Due to increased penetration of renewable resources in the distribution grid, the distribution system operator (DSO) faces increased challenges to maintain security and quality of supply. Since, a large proportion of renewables are…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Ankur Majumdar , Omid Alizadeh-Mousavi

Distributed secondary control plays an important role in DC microgrids, since it ensures system control objectives, which are power sharing and DC bus voltage stability. Previous studies have suggested using a control architecture that…

Optimization and Control · Mathematics 2016-08-18 T. V. Vu , S. Paran , F. Diaz , T. E. Meyzani , C. S. Edrington

This work presents a distributed method for control centers to monitor the operating condition of a power network, i.e., to estimate the network state, and to ultimately determine the occurrence of threatening situations. State estimation…

Optimization and Control · Mathematics 2011-07-13 Fabio Pasqualetti , Ruggero Carli , Francesco Bullo

Regulating the voltage of the common DC bus, also referred to as the load bus, in DC microgrids is crucial for ensuring reliability and maintaining the nominal load voltage, which is essential for protecting sensitive loads from voltage…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Nabil Mohammed , Shehab Ahmed , Charalambos Konstantinou

The small-signal stability of multi-terminal HVDC systems, which is related to the dynamic interactions among different VSCs through the coupling of DC and AC networks, has become one of the important issues for the safety and stable…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wanning Zheng , Li Chai

This paper investigates pattern formation in reaction--diffusion systems with both diffusive and nondiffusive components, providing necessary and sufficient conditions for diffusion-driven instability (DDI) and establishing the existence of…

Analysis of PDEs · Mathematics 2026-05-07 Théo André , Szymon Cygan , Anna Marciniak-Czochra , Finn Münnich

Large-scale integration of distributed energy resources into residential distribution feeders necessitates careful control of their operation through power flow analysis. While the knowledge of the distribution system model is crucial for…

Machine Learning · Computer Science 2020-09-16 Omid Ardakanian , Vincent W. S. Wong , Roel Dobbe , Steven H. Low , Alexandra von Meier , Claire Tomlin , Ye Yuan

Accurate voltage estimation in distribution networks is critical for real-time monitoring and increasing the reliability of the grid. As DER penetration and distribution level voltage variability increase, robust distribution system state…

Machine Learning · Computer Science 2025-10-21 Muhy Eddin Za'ter , Bri-Mathias Hodge

Operating modern power grids with stability guarantees is admittedly imperative. Classic stability methods are not well-suited for these dynamic systems as they involve centralized gathering of information and computation of the system's…

Systems and Control · Electrical Eng. & Systems 2020-03-18 Stefanos Baros , Andrey Bernstein , Nikos Hatziargyriou

DC microgrids are converter-based electrical networks that are increasingly being used in various applications, including data centers and industrial distribution systems. A central challenge in their operation is maintaining the DC-bus…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Jovan Krajacic , Ognjen Stanojev , Mario Schweizer , Orcun Karaca , Gabriela Hug , Vladan Lazarević

This paper proposes a new method to monitor and mitigate fault induced delayed voltage recovery (FIDVR) phenomenon in distribution systems using {\mu}PMU measurements in conjunction with a Reduced Distribution System Model (RDSM). The…

Optimization and Control · Mathematics 2021-11-24 Amarsagar Reddy Ramapuram Matavalam , Ramakrishna Venkatraman , Venkataramana Ajjarapu

The reduction of overall system inertia in modern power systems due to the increasing deployment of distributed energy resources is generally recognized as a major issue for system stability. Consequently, real-time monitoring of system…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Nicolai Lorenz-Meyer , Hans Würfel , Johannes Schiffer

This paper considers a distributed PI-controller for networked dynamical systems. Sufficient conditions for when the controller is able to stabilize a general linear system and eliminate static control errors are presented. The proposed…

Optimization and Control · Mathematics 2014-10-01 Martin Andreasson , Dimos V. Dimarogonas , Henrik Sandberg , Karl H. Johansson

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

Bounded-input bounded-output stability condition of linear time invariant (LTI) distributed-order system over integral interval $(0,1)$ has been established for the first time. Two cases about weighting function of the distributed order are…

Systems and Control · Computer Science 2012-12-18 Zhuang Jiao , YangQuan Chen , Yi-Sheng Zhong

Increased power demands, push for economics and limited investment in grid infrastructure have led utilities to operatepower systems closer to their stability limits. Voltage instability may trigger cascade tripping, wide-area voltage…

Systems and Control · Electrical Eng. & Systems 2020-05-29 Syed Muhammad Hur Rizvi , Pratim Kundu , Anurag K. Srivastava

Grid-following inverters have been widely adopted as a grid interface for renewable energy, and ensuring their small-signal and large-signal stability is critical to modern power systems. Their large-signal, or transient, stability is a…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Yifan Zhang , Yunjie Gu , Yue Zhu , Yitong Li , Hsiao-Dong Chiang , Timothy C. Green
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