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We investigate local convergence of identical DC/AC converters interconnected via identical resistive and inductive lines towards a synchronous equilibrium manifold. We exploit the symmetry of the resulting vector field and develop a…

Optimization and Control · Mathematics 2020-07-29 Taouba Jouini , Zhiyong Sun

A case study on modeling adequacy of a grid in presence of renewable resources based on grid-forming converters (GFCs) is the subject matter of this paper. For this purpose, a 4-machine 11-bus IEEE benchmark model is modified by considering…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Lilan Karunaratne , Nilanjan Ray Chaudhuri , Amirthagunaraj Yogarathnam , Meng Yue

We prove sharp bounds on certain impedance-to-impedance maps (and their compositions) for the Helmholtz equation with large wavenumber (i.e., at high-frequency) using semiclassical defect measures. The paper [GGGLS]…

Analysis of PDEs · Mathematics 2024-02-02 David Lafontaine , Euan A. Spence

This paper proposes a wideband composite sequence impedance model (WCSIM)-based analysis method to evaluate the interactions in power-electronic-based power systems subjected to unbalanced grid faults or with unbalanced loads. The…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Zhi Liu , Chengxi Liu , Jiangbei Han , Rui Qiu , Mingyuan Liu

Short circuit fault currents are increasing due to growing demand for electricity and high complexity in power systems. Because the fault currents reach the highest value which the breakers are unable to restrict, the electrical grid…

Systems and Control · Electrical Eng. & Systems 2022-06-16 Aydin Zaboli

To perform accurate numerical simulations of the traveling-wave tube in time domain, a new approach using field decomposition with large reduction of degrees-of-freedom has been proposed: the discrete model. To assess its validity, we…

Plasma Physics · Physics 2018-04-02 Damien Minenna , Artem Terentyuk , Frédéric André , Yves Elskens , Nikita Ryskin

The random demodulator is a recent compressive sensing architecture providing efficient sub-Nyquist sampling of sparse band-limited signals. The compressive sensing paradigm requires an accurate model of the analog front-end to enable…

Information Theory · Computer Science 2013-03-26 Pawel Jerzy Pankiewicz , Thomas Arildsen , Torben Larsen

This paper presents a comparative analysis of several modelling approaches of key elements used in simulations of power systems with renewable energy sources. Different models of synchronous generators, transmission lines, converters, wind…

We derive a topological decoupling of the equations of modified nodal analysis (MNA) to a semi-explicit index one differential-algebraic equation. The decoupling explicitly allows for controlled sources, which play a crucial role in…

Numerical Analysis · Mathematics 2026-04-23 Idoia Cortes Garcia , Peter F. Förster , Lennart Jansen , Wil Schilders , Sebastian Schöps

Impedance is one of the vital parameters that provides useful information for many power electronics related applications. A lot of impedance measurement methods in power electronics have been reported. However, a comprehensive…

Instrumentation and Detectors · Physics 2022-04-14 Huamin Jie , Zhenyu Zhao , Fan Fei , Rejeki Simanjorang , Firman Sasongko , Kye Yak See

Antenna arrays have been used in various applications and have become an important tool to achieve high spectral efficiency in wireless communications. Its use brings to the communications system an increase in performance in terms of…

Signal Processing · Electrical Eng. & Systems 2019-09-12 F. Estevão S. Pereira , Josef A. Nossek , F. Rodrigo P. Cavalcanti

Detecting faults in electrical power grids is of paramount importance, either from the electricity operator and consumer viewpoints. Modern electric power grids (smart grids) are equipped with smart sensors that allow to gather real-time…

Artificial Intelligence · Computer Science 2015-07-01 Enrico De Santis , Lorenzo Livi , Alireza Sadeghian , Antonello Rizzi

Reliable integration and operation of renewable distributed energy resources requires accurate distribution grid models. However, obtaining precise models is often prohibitively expensive, given their large scale and the ongoing nature of…

Systems and Control · Electrical Eng. & Systems 2024-01-19 Jean-Sébastien Brouillon , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-trecate

Based on equivalent-dynamic-linearization model (EDLM), we propose a kind of model predictive control (MPC) for single-input and single-output (SISO) nonlinear or linear systems. After compensating the EDLM with disturbance for…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Feilong Zhang

The modeling of cascading failure in power systems is difficult because of the many different mechanisms involved; no single model captures all of these mechanisms. Understanding the relative importance of these different mechanisms is an…

Physics and Society · Physics 2016-11-17 Jiajia Song , Eduardo Cotilla-Sanchez , Goodarz Ghanavati , Paul D. H. Hines

Physics-based and first-principles models pervade the engineering and physical sciences, allowing for the ability to model the dynamics of complex systems with a prescribed accuracy. The approximations used in deriving governing equations…

Machine Learning · Statistics 2023-11-03 Megan R. Ebers , Katherine M. Steele , J. Nathan Kutz

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

Systems and Control · Computer Science 2019-05-20 Fernando Paganini , Enrique Mallada

A dynamic phasor (DP) framework for time-domain and frequency-domain analyses of grid-forming converters (GFCs) connected to series-compensated transmission lines is proposed. The proposed framework can capture the behavior of GFCs…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Fiaz Hossain , Nilanjan Ray Chaudhuri

In this paper, the power response of power electronic loads in case of voltage drops are measured and their dynamics are analysed. Based on this, dynamic simulation models are derived which can be used for voltage stability investigations.…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Sebastian Liemann , Christian Rehtanz

Increased coupling between critical infrastructure networks, such as power and communication systems, will have important implications for the reliability and security of these systems. To understand the effects of power-communication…

Physics and Society · Physics 2015-06-24 Mert Korkali , Jason G. Veneman , Brian F. Tivnan , Paul D. H. Hines