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A new measure to characterize stability of complex dynamical systems against large perturbation is suggested, the stability threshold (ST). It quantifies the magnitude of the weakest perturbation capable to disrupt the system and switch it…

Chaotic Dynamics · Physics 2016-01-06 Vladimir V. Klinshov , Vladimir I. Nekorkin , Jürgen Kurths

Addressing the uncertainty introduced by increasing renewable integration is crucial for secure power system operation, yet capturing it while preserving the full nonlinear physics of the grid remains a significant challenge. This paper…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Ghulam Mohy-ud-din , Yunqi Wang , Rahmat Heidari , Frederik Geth

The stability of a complex system generally decreases with increasing system size and interconnectivity, a counterintuitive result of widespread importance across the physical, life, and social sciences. Despite recent interest in the…

Populations and Evolution · Quantitative Biology 2020-05-20 A. Bradley Duthie

Forecasting electricity prices is a challenging task and an active area of research since the 1990s and the deregulation of the traditionally monopolistic and government-controlled power sectors. Although it aims at predicting both spot and…

Statistical Finance · Quantitative Finance 2025-07-23 Katarzyna Maciejowska , Bartosz Uniejewski , Rafał Weron

In safety-critical deep learning applications, robustness measures the ability of neural models that handle imperceptible perturbations in input data, which may lead to potential safety hazards. Existing pre-deployment robustness assessment…

Machine Learning · Computer Science 2025-08-27 Wenchuan Mu , Kwan Hui Lim

Existing machine learning-based surrogate modeling methods for transient stability constrained-optimal power flow (TSC-OPF) lack certifications in the presence of unseen disturbances or uncertainties. This may lead to divergence of TSC-OPF…

Systems and Control · Electrical Eng. & Systems 2025-06-12 Tong Su , Junbo Zhao

Climate policy modelling is a key tool for assessing mitigation strategies in complex systems, where uncertainty is inherent and unavoidable. We present a general methodology for extensive uncertainty analysis in this field. While other…

Applications · Statistics 2026-05-15 Ian J. Burton , Femke J. M. M. Nijsse , James M. Salter

Wind energy is the leading non-hydro renewable technology. Increasing reliability is a key factor in reducing the downtime of high-power wind turbines installed in remote off-shore places, where maintenance is costly and less reactive.…

Systems and Control · Electrical Eng. & Systems 2024-10-18 Alessio Dallabona , Mogens Blanke , Henrik C. Pedersen , Dimitrios Papageorgiou

This paper suggests leveraging reactive power potential (RPP) embedded in wind farms to improve power system operational safety and optimality. First, three typical RPP provision approaches are analyzed and a two-stage robust linear…

Systems and Control · Electrical Eng. & Systems 2020-10-12 Yu Zhou , Zhengshuo Li

Due to the rise of distributed energy resources, the control of networks of grid-forming inverters is now a pressing issue for power system operation. Droop control is a popular control strategy in the literature for frequency control of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Kevin D. Smith , Saber Jafarpour , Francesco Bullo

Machine learning systems deployed in the real world must operate under dynamic and often unpredictable distribution shifts. This challenges the validity of statistical safety assurances on the system's risk established beforehand. Common…

Machine Learning · Statistics 2025-06-23 Alexander Timans , Rajeev Verma , Eric Nalisnick , Christian A. Naesseth

One of the fundamental concerns in the operation of modern power systems is the assessment of their frequency stability in case of inertia-reduction induced by the large share of power electronic interfaced resources. Within this context,…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Francesco Conte , Stefano Massucco , Mario Paolone , Giacomo-Piero Schiapparelli , Federico Silvestro , Yihui Zuo

The transition to the smart grid introduces complexity to the design and operation of electric power systems. This complexity has the potential to result in safety-related losses that are caused, for example, by unforeseen interactions…

Software Engineering · Computer Science 2023-09-15 Paul Smith , Eva Piatkowska , Edmund Widl , Filip Pröstl Andrén , Thomas I. Strasser

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

During the last decades, significant advances have been made in the area of power system stability and control. Nevertheless, when this analysis is carried out by means of decentralized conditions in a general network, it has been based on…

Optimization and Control · Mathematics 2018-09-27 Chrysovalantis Spanias , Ioannis Lestas

We consider the problem of characterizing and assessing the voltage stability in power distribution networks. Different from previous formulations, we consider the branch-flow parametrization of the power system state, which is particularly…

Optimization and Control · Mathematics 2017-04-03 Liviu Aolaritei , Saverio Bolognani , Florian Dörfler

Power systems are undergoing unprecedented transformations with the incorporation of larger amounts of renewable energy sources, distributed generation and demand response. All these changes, while potentially making power grids more…

Optimization and Control · Mathematics 2015-02-06 Krishnamurthy Dvijotham , Steven Low , Michael Chertkov

A decentralized stability criterion is derived for a power system with heterogeneous subsystems. A condition for frequency stability and stability of interarea modes is derived using the generalized Nyquist criterion. The resulting scalable…

Systems and Control · Electrical Eng. & Systems 2022-06-03 Joakim Björk , Karl Henrik Johansson

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

Harnessing the demand-side flexibility in building and mobility sectors can help to better integrate renewable energy into power systems and reduce global CO2 emissions. Enabling this sector coupling can be achieved with advances in energy…