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Related papers: Robust stability analysis of DC microgrids with co…

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This paper deals with transient stability in interconnected micro-grids. The main contribution involves i) robust classification of transient dynamics for different intervals of the micro-grid parameters (synchronization, inertia, and…

Optimization and Control · Mathematics 2017-08-25 Dario Bauso

Power grids sustain modern society by supplying electricity and thus their stability is a crucial factor for our civilization. The dynamic stability of a power grid is usually quantified by the probability of its nodes' recovery to phase…

Chaotic Dynamics · Physics 2018-11-14 Heetae Kim , Sang Hoon Lee , Jörn Davidsen , Seung-Woo Son

In this paper, we mainly study the robust stability of linear continuous systems with parameter uncertainties, a more general kind of uncertainties for system matrices is considered, i.e., entries of system matrices are rational functions…

Symbolic Computation · Computer Science 2010-03-17 Xiaorong Hou , Junwei Shao

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

The energy transition towards an increased supply of renewable energy raises concerns that existing electricity grids, built to connect few centralized large power plants with consumers, may become more difficult to control and stabilized…

Chaotic Dynamics · Physics 2016-12-23 S. Kettemann

It is a well known fact that finite time optimal controllers, such as MPC does not necessarily result in closed loop stable systems. Within the MPC community it is common practice to add a final state constraint and/or a final state penalty…

Optimization and Control · Mathematics 2016-04-05 Daniel Simon , Johan Löfberg

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system…

Quantum Physics · Physics 2012-08-31 Ian R. Petersen , Valery Ugrinovskii , Matthew R. James

Massive integration of power electronic devices with multiple control schemes in a wide frequency range pose new challenges regarding systems stability and reliability. Interactions between the fast control loops or between the fast control…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Georgia Saridaki , Alexandros G. Paspatis , Panos Kotsampopoulos , Nikos Hatziargyriou

Model mismatch often poses challenges in model-based controller design. This paper investigates model predictive control (MPC) of uncertain linear systems with input constraints, focusing on stability and closed-loop infinite-horizon…

Optimization and Control · Mathematics 2025-03-06 Changrui Liu , Shengling Shi , Bart De Schutter

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

Optimization and Control · Mathematics 2022-04-20 Manish K. Singh , Vassilis Kekatos

The dc grid became more popular, by emerging the distributed generations (DGs). Despite this popularity, the dc grid is not yet widely used because the majority of loads in a power system are ac, which means the ac grid is still the…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Mohammad Mehdi Rezvani , Shahab Mehraeen

The issues of robust stability for two types of uncertain fractional-order systems of order $\alpha \in (0,1)$ are dealt with in this paper. For the polytope-type uncertainty case, a less conservative sufficient condition of robust…

Systems and Control · Computer Science 2012-12-18 Zhuang Jiao , Yisheng Zhong

This paper considers the problem of robust stability for a class of uncertain nonlinear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with non-quadratic…

Quantum Physics · Physics 2013-03-26 Ian R. Petersen

This paper presents an investigation into load dynamics that potentially cause voltage instability or collapse in distribution networks. Through phasor-based, time domain simulations of a dynamic load (DL) model from the literature, we show…

Systems and Control · Electrical Eng. & Systems 2021-08-06 Ruth Kravis , Ian Petersen , Elizabeth Ratnam

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

This paper explores the stability of nonsynchronous hybrid ac/dc power grids under the grid-forming hybrid angle control strategy. We formulate dynamical models for the ac grids and transmission lines, interlinking converters, and dc…

Optimization and Control · Mathematics 2022-03-24 Ali Tayyebi , Florian Dörfler

The linear stability of a lipid membrane under a DC electric field, applied perpendicularly to the interface, is investigated in the electrokinetic framework, taking into account the dynamics of the Debye layers formed near the membrane.…

Soft Condensed Matter · Physics 2025-10-10 Zongxin Yu , Shuozhen Zhao , Michael J. Miksis , Petia M. Vlahovska

Voltage stability in modern power systems involves coupled dynamics across multiple time scales. Conventional methods based on time-scale separation or static stability margins may overlook instabilities caused by the coupling of slow and…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Naoki Hashima , Hikaru Hoshino , Luis David Pabón Ospina , Eiko Furutani

In this article, we investigate small-signal frequency and DC voltage stability of hybrid AC/DC power systems that combine AC and DC transmission, conventional machine- based generation, and converter-interfaced generation. The main…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Dahlia Saba , Dominic Groß

This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Yifan Su , Xiaoyu Peng , Hua Geng , Feng Liu