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The day-to day fluctuations of Dow Jones Index exhibit fractal fluctuations, namely, a zigzag pattern of successive increases followed by decreases on all space-time scales. Self-similar fractal fluctuations are generic to dynamical systems…

General Physics · Physics 2007-05-23 A. M. Selvam

We study multifractal properties in time evolution of a single particle subject to repeated measurements. For quantum systems, we consider circuit models consisting of local unitary gates and local projective measurements. For classical…

Quantum Physics · Physics 2024-10-28 Kohei Yajima , Hisanori Oshima , Ken Mochizuki , Yohei Fuji

It is shown that in many-electron systems quantum transfer amplitudes and thus transfer probabilities may be strongly influenced by fast fluctuating fields, in particular, caused by simultaneous electron transfers. Corresponding mutual…

Statistical Mechanics · Physics 2007-05-23 Yu. E. Kuzovlev

We look into the fluctuations caused by disturbances in power systems. In the linearized system of the power systems, the disturbance is modeled by a Brownian motion process, and the fluctuations are described by the covariance matrix of…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Xian Wu , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H van Schuppen , Chenghui Zhang

As renewable sources increasingly replace existing conventional generation, the dynamics of the grid drastically changes, posing new challenges for transmission system operations, but also arising new opportunities as converter-based…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Alessandro Crivellaro , Ali Tayyebi , Catalin Gavriluta , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

Feed-in fluctuations induced by renewables are one of the key challenges to the stability and quality of electrical power grids. In particular short-term fluctuations disturb the system on a time scale, on which load balancing does not…

Adaptation and Self-Organizing Systems · Physics 2016-11-28 Katrin Schmietendorf , Joachim Peinke , Oliver Kamps

Power grids are one of the most important components of infrastructure in today's world. Every nation is dependent on the security and stability of its own power grid to provide electricity to the households and industries. A malfunction of…

Systems and Control · Computer Science 2017-11-13 Biswarup Bhattacharya , Abhishek Sinha

Amorphous dielectric materials have been known to host two-level systems (TLSs) for more than four decades. Recent developments on superconducting resonators and qubits enable detailed studies on the physics of TLSs. In particular,…

Quantum Physics · Physics 2021-09-23 J. H. Béjanin , C. T. Earnest , A. S. Sharafeldin , M. Mariantoni

In this work, we explore two mechanisms that explain non-Gaussian behaviour of power-grid frequency recordings in the South African grid. We make use of a Fokker-Planck approach to power-grid frequency that yields a direct relation between…

Applications · Statistics 2023-02-10 Leonardo Rydin Gorjão , Jacques Maritz

Understanding the stochastic properties of conductance fluctuations in disordered mesoscopic systems is fundamental to quantum transport. In this work, we investigate the multifractal and ergodic properties of the fictitious time series of…

Networks of interacting, communicating subsystems are common in many fields, from ecology, biology, epidemiology to engineering and robotics. In the presence of noise and uncertainty, inter- actions between the individual components can…

Statistical Mechanics · Physics 2017-11-01 Ira B. Schwartz , Klimka Szwaykowska , Thomas W. Carr

Biological systems (among others) may respond to a large variety of distinct external stimuli, or signals. These perturbations will generally be presented to the system not singly, but in various combinations, so that a proper understanding…

Quantitative Methods · Quantitative Biology 2011-06-24 Dennis Wylie

We present a theoretical study of frequency correlations of light backscattered from a random scattering medium. This statistical quantity provides insight into the dynamics of multiple scattering processes accessible both, in theoretical…

Optics · Physics 2015-06-23 Angelika Knothe , Thomas Wellens

Large-scale integration of renewables in power systems gives rise to new challenges for keeping synchronization and frequency stability in volatile and uncertain power flow states. To ensure the safety of operation, the system must maintain…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Chao Duan , Pratyush Chakraborty , Takashi Nishikawa , Adilson E. Motter

A major transition in modern power systems is the replacement of conventional generation units with renewable sources of energy. The latter results in lower rotational inertia which compromises the stability of the power system, as…

Optimization and Control · Mathematics 2025-12-15 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

We consider the problem of controlling the frequency of low-inertia power systems via inverter-based resources (IBRs) that are weakly connected to the grid. We propose a novel grid-forming control strategy, the so-called frequency shaping…

Optimization and Control · Mathematics 2022-12-20 Bala Kameshwar Poolla , Yashen Lin , Andrey Bernstein , Enrique Mallada , Dominic Groß

Fluctuations in the large-scale structure of the Universe contain significant information about cosmological physics, but are modulated in survey datasets by various observational effects. Building on existing literature, we provide a…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-14 Chris Blake

The concept of complex frequency has been recently introduced on the IEEE Transactions on Power Systems to study bus voltage variations in magnitude and frequency and their link with complex power injections of a power system. In this…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Ignacio Ponce , Federico Milano

The growing complexity of the power grid, driven by increasing share of distributed energy resources and by massive deployment of intelligent internet-connected devices, requires new modelling tools for planning and operation. Physics-based…

Machine Learning · Statistics 2018-11-26 Francesco Fusco

Mitigating climate change requires a transition away from fossil fuels towards renewable energy. As a result, power generation becomes more volatile and options for microgrids and islanded power-grid operation are being broadly discussed.…

Data Analysis, Statistics and Probability · Physics 2023-09-25 Ulrich Oberhofer , Leonardo Rydin Gorjão , G. Cigdem Yalcin , Oliver Kamps , Veit Hagenmeyer , Benjamin Schäfer
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