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Traditional synchronous generators with rotational inertia are being replaced by low-inertia renewable energy resources (RESs) in many power grids and operational scenarios. Due to emerging market mechanisms, inherent variability of RESs,…

Optimization and Control · Mathematics 2019-03-05 Yi Guo , Tyler H. Summers

This thesis proposes novel Small-Signal Stability Analysis (SSSA)-based techniques that contribute to electric power system modal analysis, automatic control, and numerical integration. Modal analysis is a fundamental tool for power system…

Systems and Control · Electrical Eng. & Systems 2021-11-03 Georgios Tzounas

Power distribution systems are becoming much more active with increased penetration of distributed energy resources. Because of the intermittent nature of these resources, the stability of distribution systems under large disturbances and…

Systems and Control · Electrical Eng. & Systems 2022-05-25 Wenqi Cui , Baosen Zhang

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 theory of resilience and stability in multi-microgrid networks. We derive new sufficient conditions to guarantee small-signal stability of multi-microgrids in both lossless and lossy networks. The new stability…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Amin Gholami , Xu Andy Sun

Contemporary theories and models for electric power system stability are predicated on a widely held assumption that the mechanical inertia of the rotating mass of synchronous generators provides the sole contribution to stable and…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Amirhossein Sajadi , Bri-Mathias Hodge

We study the stability of coupled impedance passive regular linear systems under power-preserving interconnections. We present new conditions for strong, exponential, and non-uniform stability of the closed-loop system. We apply the…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

This study proposes a control strategy to ensure the safe operation of modern power systems with high penetration of inverter-based resources (IBRs) within an optimal operation framework. The objective is to obtain operating points that…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Francesca Rossi , Juan Carlos Olives-Camps , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

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

DC microgrids are prone to small-signal instabilities due to the presence of tightly regulated loads. This paper develops a decentralized stability certificate which is capable of certifying the small-signal stability of an islanded DC…

Systems and Control · Electrical Eng. & Systems 2021-07-09 Samuel Chevalier , Federico Martin Ibanez , Kathleen Cavanagh , Konstantin Turitsyn , Luca Daniel , Petr Vorobev

Accurate transient stability assessment is a crucial prerequisite for proper power system operation and planning with various operational constraints. Transient stability assessment of modern power systems is becoming very challenging due…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Umair Shahzad

Stability guarantees have emerged as a principled way to evaluate feature attributions, but existing certification methods rely on heavily smoothed classifiers and often produce conservative guarantees. To address these limitations, we…

Machine Learning · Computer Science 2025-08-08 Helen Jin , Anton Xue , Weiqiu You , Surbhi Goel , Eric Wong

As modern power systems continue to evolve into multi-agent, converter-dominated systems that demand reliable, stable, and optimal control architectures within an expandable framework, this paper investigates scalable stability guarantees…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Cornelia Skaga , Mahdieh S. Sadabadi , Gilbert Bergna-Diaz

The objective of this paper is to report some computational results for the theory of DAE stability boundary, with the aim of advancing applications in power system voltage stability studies. Firstly, a new regularization transformation for…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Zhenyao Li , Yifan Yao , Deqiang Gan

Analyzing the stability of the power system by using a few machines is promising for transient stability assessment. A hybrid direct-time-domain method that is fully based on the thinking of partial energy function is proposed in this…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Songyan Wang , Jilai Yu , Wei Zhang

The increasing use of power electronics converters to integrate renewable energy sources has been subject of concern due to the resonance oscillatory phenomena caused by their interaction with poorly damped AC networks. Early studies are…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Luis Orellana , Luis Sainz , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

Dynamic response of loads has a significant effect on system stability and directly determines the stability margin of the operating point. Inherent uncertainty and natural variability of load models make the stability assessment especially…

Systems and Control · Computer Science 2015-04-15 Hung D. Nguyen , Konstantin Turitsyn

In power system steady-state estimation (PSSE), one needs to consider (1) the need for robust statistics, (2) the nonconvex transmission constraints, (3) the fast-varying nature of the inputs, and the corresponding need to track optimal…

Optimization and Control · Mathematics 2025-01-08 Pavel Rytir , Ales Wodecki , Martin Malachov , Pavel Baxant , Premysl Vorac , Miloslava Chladova , Jakub Marecek

This work presents (i) a framework for certifying small-signal frequency stability of a power system with line dynamics and heterogeneous bus dynamics, (ii) a novel reduced-order model of damper windings in synchronous machines, and (iii) a…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Dahlia Saba , Dominic Groß

Motter et al. derived a real-valued master stability function which determines whether and to what degree a given power grid is asymptotically stable. Stright and Edrington adopted certain uniformity assumptions on a grid's components and…

Systems and Control · Electrical Eng. & Systems 2019-06-14 James Stright , Chris Edrington