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Employing both Bayesian statistics and the theory of nonlinear dynamics, we present a practically efficient method to extract a phase description of weakly coupled limit-cycle oscillators directly from time series observed in a rhythmic…

Adaptation and Self-Organizing Systems · Physics 2014-05-19 Kaiichiro Ota , Toshio Aoyagi

This paper proposes a novel strategy for the current injection based control for distributed energy resources connected to weak grids through a voltage source converter experiencing faults. The current injection controller is no longer…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Runfan Zhang , Branislav Hredzak

We study the effect on the distribution of return periods of rare events of the presence in a time series of finite-term correlations with non-exponential decay. Precisely, we analyze the auto-correlation function and the statistics of the…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Cecilia Pennetta , Eleonora Alfinito

We consider the problem of inferring the functional connectivity of a large-scale computer network from sparse time series of events emitted by its nodes. We do so under the following three domain-specific constraints: (a) non-stationarity…

Machine Learning · Computer Science 2018-02-13 Antoine Messager , George Parisis , Istvan Z Kiss , Robert Harper , Phil Tee , Luc Berthouze

In this paper it is demonstrated that a 1/f power spectrum appears in the process originated by the superposition of many similar single-sided RTN processes with the same relaxation time. The non-relaxed regime, the Gaussian nature and the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Giovanni Zanella

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

Synchronization is essential for the operation of AC power systems: All generators in the power grid must rotate with fixed relative phases to enable a steady flow of electric power. Understanding the conditions for and the limitations of…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Carsten Hartmann , Philipp C. Böttcher , David Gross , Dirk Witthaut

Long-range temporal and spatial correlations have been reported in a remarkable number of studies. In particular power-law scaling in neural activity raised considerable interest. We here provide a straightforward algorithm not only to…

Quantitative Methods · Quantitative Biology 2015-12-09 Robert Ton , Andreas Daffertshofer

The aim of this paper is to investigate complex dynamic networks which can model high-voltage power grids with renewable, fluctuating energy sources. For this purpose we use the Kuramoto model with inertia to model the network of power…

Adaptation and Self-Organizing Systems · Physics 2018-08-29 Liudmila Tumash , Simona Olmi , Eckehard Schöll

We describe and validate a novel data-driven approach to the real time detection and classification of traffic anomalies based on the identification of atypical fluctuations in the relationship between density and flow. For aggregated data…

Applications · Statistics 2020-12-22 Kieran Kalair , Colm Connaughton

Synchronisation of parallel grid-forming inverters is crucial for stable operation of future power systems. This includes accurate and robust reactive power sharing under realistic operating conditions such as impedance mismatch and…

Systems and Control · Electrical Eng. & Systems 2026-03-25 E. D. Gomez Anccas , E. A. MacPherson , J. Tegeler , K. Röbert , M. Fischer , C. A. Hans , D. Schulz

The traditional secondary frequency control of power systems restores nominal frequency by steering Area Control Errors (ACEs) to zero. Existing methods are a form of integral control with the characteristic that large control gain…

Optimization and Control · Mathematics 2018-07-17 Kaihua Xi , Johan L. A. Dubbeldam , Hai Xiang Lin , Jan H. van Schuppen

Synchronization of two or more self-sustained oscillators is a well-known and studied phenomenon, appearing both in natural and designed systems. In some cases, the synchronized state is undesired, and the aim is to destroy synchrony by…

Chaotic Dynamics · Physics 2024-08-14 Erik T. K. Mau , Michael Rosenblum

Synchronization of coupled oscillators is a paradigm for complexity in many areas of science and engineering. Any realistic network model should include noise effects. We present a description in terms of phase and amplitude deviation for…

Adaptation and Self-Organizing Systems · Physics 2019-05-09 Michele Bonnin , Fernando Corinto , Valentina Lanza

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

The integration of synchronous generators and energy storage systems operated through communication networks introduces new challenges and vulnerabilities to the electric grid, where cyber attacks can corrupt sensor measurements or control…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Jairo Giraldo , Masood Parvania

Local and inter-area oscillations in bulk power systems are typically identified using spatial profiles of poorly damped modes, and they are mitigated via carefully tuned decentralized controllers. In this paper, we employ non-modal tools…

Optimization and Control · Mathematics 2017-05-16 Xiaofan Wu , Florian Dörfler , Mihailo R. Jovanović

We study spectral densities for systems on lattices, which, at a phase transition display, power-law spatial correlations. Constructing the spatial correlation matrix we prove that its eigenvalue density shows a power law that can be…

Mathematical Physics · Physics 2014-11-24 Vinayak , T. Prosen , B. Buca , T. H. Seligman

We investigate how extreme loss of data affects the scaling behavior of long-range power-law correlated and anti-correlated signals applying the DFA method. We introduce a segmentation approach to generate surrogate signals by randomly…

Data Analysis, Statistics and Probability · Physics 2010-03-12 Qianli D. Y. Ma , Ronny P. Bartsch , Pedro Bernaola-Galván , Mitsuru Yoneyama , Plamen Ch. Ivanov

The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a generic wiring of connections and displaying a generic…

Adaptation and Self-Organizing Systems · Physics 2014-02-14 I. Leyva , I. Sendiña-Nadal , J. A. Almendral , A. Navas , S. Olmi , S. Boccaletti
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