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The smart grid revolution is creating a paradigm shift in distribution networks that is marked by new, significant intermittencies and uncertainties in power supply and demand. These developments include the dramatic increase in the…

Systems and Control · Computer Science 2016-05-11 Reza Arghandeh

We investigate the arithmetic-harmonic inequality (AHI) index, a bounded and scale-invariant measure of dispersion for positive random variables, defined through the interplay between the mean and its reciprocal. We derive analytical…

Methodology · Statistics 2026-05-05 Roberto Vila , Helton Saulo

Phasor measurement units (PMUs) have the advantage of providing direct measurements of power states. However, as the number of PMUs in a power system is limited, the traditional supervisory control and data acquisition (SCADA) system cannot…

Systems and Control · Computer Science 2016-07-12 Jian Du , Shaodan Ma , Yik-Chung Wu , H. Vincent Poor

Series representations consisting of spherical harmonics are obtained for characteristic exponents and probability density functions of multivariate stable distributions under various conditions. A esult potentially applicable in a…

Probability · Mathematics 2021-10-18 Zhiyi Chi

The recent introduction of synchrophasor technology into power distribution systems has given impetus to various monitoring, diagnostic, and control applications, such as system identification and event detection, which are crucial for…

Systems and Control · Computer Science 2020-09-17 Omid Ardakanian , Ye Yuan , Roel Dobbe , Alexandra von Meier , Steven Low , Claire Tomlin

In this paper, we propose a multiplex proportional-integral approach, for solving consensus problems in networks of heterogeneous nodes dynamics affected by constant disturbances. The proportional and integral actions are deployed on two…

Systems and Control · Computer Science 2015-12-10 Daniel Alberto Burbano Lombana , Mario di Bernardo

Increased power demands, push for economics and limited investment in grid infrastructure have led utilities to operatepower systems closer to their stability limits. Voltage instability may trigger cascade tripping, wide-area voltage…

Systems and Control · Electrical Eng. & Systems 2020-05-29 Syed Muhammad Hur Rizvi , Pratim Kundu , Anurag K. Srivastava

Assuming access to synchronized stream of Phasor Measurement Unit (PMU) data over a significant portion of a power system interconnect, say controlled by an Independent System Operator (ISO), what can you extract about past, current and…

Data Analysis, Statistics and Probability · Physics 2020-09-25 Mauro Escobar , Daniel Bienstock , Michael Chertkov

This paper proposes a Voltage Stability Index (VSI) suitable for unbalanced polyphase power systems. To this end, the grid is represented by a polyphase multiport network model (i.e., compound hybrid parameters), and the aggregate behavior…

Systems and Control · Computer Science 2019-06-17 Andreas Martin Kettner , Mario Paolone

It is commonplace in cosmology to analyze fields projected onto the celestial sphere, and in particular density fields that are defined by a set of points e.g. galaxies. When performing an harmonic-space analysis of such data (e.g. an…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-02 Antón Baleato Lizancos , Martin White

The pursuit of sustainability motivates microgrids that depend on distributed resources to produce more renewable energies. An efficient operation and planning relies on a holistic framework that takes into account the interdependent…

Systems and Control · Computer Science 2017-07-25 Juntao Chen , Quanyan Zhu

This paper introduces a novel hybrid AI method combining H filtering and an adaptive linear neuron network for flicker component estimation in power distribution systems.The proposed method leverages the robustness of the H filter to…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Javad Enayati , Pedram Asef , Alexandre Benoit

Recently, the authors of this paper proposed a method for the Harmonic Power-Flow (HPF) calculus in polyphase grids with widespread deployment of Converter-Interfaced Distributed Energy Resources (CIDERs). The HPF problem was formulated by…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Antonio Di Pasquale , Johanna Kristin Maria Becker , Andreas Martin Kettner , Mario Paolone

The manner in which probability amplitudes of paths sum up to form wave functions of a harmonic oscillator, as well as other, simple 1-dimensional problems, is described. Using known, closed-form, path-based propagators for each problem, an…

Quantum Physics · Physics 2025-11-18 Randall M. Feenstra

Studies of MHD turbulence often investigate the Fourier power spectrum to provide information on the nature of the turbulence cascade. However, the Fourier power spectrum only contains the Fourier amplitudes and rejects all information…

Astrophysics of Galaxies · Physics 2016-08-17 Blakesley Burkhart , Alex Lazarian

Practical application of the harmonic summing technique in the power-spectrum analysis for searching pulsars has exhibited the technique's effectiveness. In this paper, theoretical verification of harmonic summing considering power's…

Instrumentation and Methods for Astrophysics · Physics 2018-11-20 Meng Yu

Consumers with low demand, like households, are generally supplied single-phase power by connecting their service mains to one of the phases of a distribution transformer. The distribution companies face the problem of keeping a record of…

Machine Learning · Computer Science 2016-06-08 P Satya Jayadev , Aravind Rajeswaran , Nirav P Bhatt , Ramkrishna Pasumarthy

The declining synchronous inertia in power systems undergoing the energy transition increases the sensitivity of system frequency to generation and interconnector disturbances, making accurate frequency risk quantification increasingly…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Sewedo Todowede

Voltage unbalance, caused by variations in voltage magnitude and phase angle, is a significant power quality issue in three-phase systems, leading to equipment inefficiencies and increased system losses. The integration of distributed…

Systems and Control · Electrical Eng. & Systems 2025-05-30 Alireza Zabihi , Luis Badesa , Araceli Hernandez

To determine the regular or chaotic nature of the orbits in dynamical systems can be quite an issue. In this article, following Vozikis et al. (2000), we propose a new tool, namely, the Power Spectrum Indicator (PSI), $\psi^2$, that enables…

Chaotic Dynamics · Physics 2018-08-02 Christos Vozikis , Konstantinos Kleidis , Stavros Papaioannou