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We propose experimentally feasible ways to probe universal features of absorbing phase transitions from two different approaches, both based on numerical validations. On one hand, we numerically study a probability distribution of…

Statistical Mechanics · Physics 2018-12-20 Keiichi Tamai , Masaki Sano

The earlier work of the author on Frequency estimation in three-phase power systems ( that is included as the reference number 1) is expanded to the distributed setting in order present a framework for the implementation of such a frequency…

Applications · Statistics 2016-03-31 Sayed Pouria Talebi

We investigate the sensitivity of the transient performance of power systems controlled by Distributed Power-Imbalance Allocation Control (DPIAC) on the parameters of the control law. We model the disturbances at power loads as Gaussian…

Optimization and Control · Mathematics 2021-03-09 Kaihua Xi , Hai Xiang Lin , Jan H. van Schuppen

This letter proposes a simple and inexpensive technique to improve the frequency control of distributed energy resources. The proposed control consists in modifying the conventional estimated bus frequency signal with an additional feedback…

Systems and Control · Electrical Eng. & Systems 2023-09-01 Federico Milano , Bibi Alhanjari , Georgios Tzounas

Due to the energy transition, today's electrical networks include synchronous machines and inverter-based resources interfacing renewable energies such as wind turbines, solar panels, and Battery Energy Storage Systems to the grid. In such…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Pamela Zoghby , Bogdan Marinescu , Antoine Rosse , Gregoire Prime

Electrical power conversions are common in a large variety of engineering applications. With reference to AC/DC and DC/AC power conversions, a strong research interest resides in multilevel converters, thanks to the many advantages they…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Davide Tebaldi , Roberto Zanasi

This paper analyzes how power injections affect frequency quality in power systems. We first derive a general expression linking active and reactive power injections at buses to the system's frequency. This formulation explicitly considers…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Angel Vaca , Federico Milano

We propose a general method for optimizing periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators based on phase reduction and nonlinear programming. We derive averaged phase dynamics from the mathematical…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Yuzuru Kato , Anatoly Zlotnik , Jr-Shin Li , Hiroya Nakao

The power spectral density in Fourier frequency domain, and the different variants of the Allan deviation (ADEV) in dependence on the averaging time are well established tools to analyse the fluctuation properties and frequency instability…

Data Analysis, Statistics and Probability · Physics 2015-07-21 Erik Benkler , Christian Lisdat , Uwe Sterr

In the domain of variational quantum algorithms, quantum Fourier models (QFMs) provide a mathematically well defined structure for quantum machine learning (QML). There has been a substantial amount of work on the scalability and…

Quantum Physics · Physics 2026-05-07 Melvin Strobl , Maja Franz , Lukas Scheller , Eileen Kuehn , Wolfgang Mauerer , Achim Streit

This work presents a technique to estimate on-line the global momentum of an electric power system. It exploits the footprint of the principal frequency system dynamics. Probing tones are injected by a grid-forming converter-interfaced…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Angelo Maurizio Brambilla , Davide del Giudice , Daniele Linaro , Federico Bizzarri

An analytical theory of non-uniformly doped or shaped PN-junction diodes submitted to large-signals at high frequencies is presented. The resulting expressions can be useful to evaluate the performance of semiconductor device modeling…

Applied Physics · Physics 2020-11-30 Anatoly A. Barybin , Edval J. P. Santos

In this paper we study the general reconstruction of a compactly supported function from its Fourier coefficients using compactly supported shearlet systems. We assume that only finitely many Fourier samples of the function are accessible…

Functional Analysis · Mathematics 2015-07-31 Jackie Ma

We discuss in detail a well known method for obtaining the frequencies of the normal modes of coupled harmonic oscillators that is based on the simultaneous diagonalization of two symmetric matrices. We apply it to some simple illustrative…

Classical Physics · Physics 2023-11-23 Francisco M. Fernández

For the performance modeling of power converters, the mainstream approaches are essentially knowledge-based, suffering from heavy manpower burden and low modeling accuracy. Recent emerging data-driven techniques greatly relieve human…

Systems and Control · Electrical Eng. & Systems 2023-08-04 Xinze Li , Josep Pou , Jiaxin Dong , Fanfan Lin , Changyun Wen , Suvajit Mukherjee , Xin Zhang

In this paper, frequency dynamics in modern power systems with a high penetration of converter-based generation is analysed. A fundamental analysis of the frequency dynamics is performed to identify the limitations and challenges when the…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Carlos Collados-Rodriguez , Daniel Westerman Spier , Marc Cheah-Mane , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

Nowadays, PWM excitation is one of the most common waveforms seen by magnetic components in power electronic converters. Core loss modelling approaches such as improved Generalized Steinmetz equation (iGSE) or the loss map based on…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Binyu Cui , Jun Wang , Xibo Yuan , Alfonso Martinez , George Slama , Matthew Wilkowski , Ryosuke Ota , Keiji Wada

In this paper the equation for the waveform of single phase PWM voltages is transformed from its Fourier series form to a variation in which the voltage in each submission band is represented as a single frequency modulated voltage.

Signal Processing · Electrical Eng. & Systems 2018-11-16 Matthias Klatt , Jan Meyer , Peter Schegner

Time series forecasting typically needs to address non-stationary data with evolving trend and seasonal patterns. To address the non-stationarity, reversible instance normalization has been recently proposed to alleviate impacts from the…

Machine Learning · Computer Science 2024-10-01 Weiwei Ye , Songgaojun Deng , Qiaosha Zou , Ning Gui

A significant amount of converter-based generation is being integrated into the bulk electric power grid to fulfill the future electric demand through renewable energy sources, such as wind and photovoltaic. The dynamics of converter…