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The increasing integration of power electronic devices is driving the development of more advanced tools and methods for the modeling, analysis, and control of modern power systems to cope with the different time-scale oscillations. In this…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Umberto Biccari , Noboru Sakamoto , Eneko Unamuno , Danel Madariaga , Enrique Zuazua , Jon Andoni Barrena

The integration of power electronic converters (PECs) and distributed energy resources (DERs) in modern power systems has introduced dynamism and complexity. Accurate simulation becomes essential to comprehend the influence of converter…

The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a family of parameter dependent partial differential equations…

Numerical Analysis · Mathematics 2020-02-04 Albert Cohen , Wolfgang Dahmen , Ron DeVore

We extend the theory of spectral submanifolds (SSMs) to general non-autonomous dynamical systems that are either weakly forced or slowly varying. Examples of such systems arise in structural dynamics, fluid-structure interactions and…

Dynamical Systems · Mathematics 2024-04-09 George Haller , Roshan S. Kaundinya

Embedded systems are becoming more in demand to work in dynamic and uncertain environments, and being confined to the strong requirements of real-time. Conventional static scheduling models usually cannot cope with runtime modification in…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Abdelmadjid Benmachiche , Khadija Rais , Hamda Slimi

We offer an insight into our mathematical endeavors, which aim to advance the foundational understanding of energy systems in a broad context, encompassing facets such as charge transport, energy storage, markets, and collective behavior.…

General Mathematics · Mathematics 2024-12-30 Nicklas Jävergård , Grigor Nika , Adrian Muntean

The power system of the future will be governed by complex interactions and non-linear phenomena at small time-scales, that should be studied more and more through computationally expensive software simulations. To solve the abovementioned…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Marius Kuhn , Evelyn Heylen , Willem Leterme

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…

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…

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

Machine Learning · Computer Science 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

Simulating physical systems is a core component of scientific computing, encompassing a wide range of physical domains and applications. Recently, there has been a surge in data-driven methods to complement traditional numerical simulations…

Machine Learning · Computer Science 2021-08-19 Karl Otness , Arvi Gjoka , Joan Bruna , Daniele Panozzo , Benjamin Peherstorfer , Teseo Schneider , Denis Zorin

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

A simple upwind discretization of the highly coupled non-linear differential equations which define the hydrodynamic model for semiconductors is given in full detail. The hydrodynamic model is able to describe inertia effects which play an…

Computational Physics · Physics 2007-05-23 A. Aste , R. Vahldieck

Conventional power system optimization framework is becoming less reliable and efficient due to the stability issues brought by the ever-increasing inverter-interfaced renewable penetration. To ensure system stability during system…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

The dominant paradigm for power system dynamic simulation is to build system-level simulations by combining physics-based models of individual components. The sheer size of the system along with the rapid integration of inverter-based…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Matthew Bossart , Jose Daniel Lara , Ciaran Roberts , Rodrigo Henriquez-Auba , Duncan Callaway , Bri-Mathias Hodge

Modern power grids are fast evolving with the increasing volatile renewable generation, distributed energy resources (DERs) and time-varying operating conditions. The DERs include rooftop photovoltaic (PV), small wind turbines, energy…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Xun Gong , Xiaozhe Wang , Bo Cao

This review article provides an overview of recent work in the modeling and analysis of recurrent events arising in engineering, reliability, public health, biomedicine and other areas. Recurrent event modeling possesses unique facets…

Methodology · Statistics 2007-08-03 Edsel A. Peña

As power systems evolve with the increasing integration of renewable energy sources and smart grid technologies, there is a growing demand for flexible and scalable modeling approaches capable of capturing the complex dynamics of modern…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Amir Bahador Javadi , Philip Pong

Molecular dynamics simulations are an important tool for describing the evolution of a chemical system with time. However, these simulations are inherently held back either by the prohibitive cost of accurate electronic structure theory…

Chemical Physics · Physics 2018-12-20 Michael Gastegger , Philipp Marquetand

Molecular dynamics (MD) has become a powerful tool for studying biophysical systems, due to increasing computational power and availability of software. Although MD has made many contributions to better understanding these complex…

Computational Physics · Physics 2019-09-27 Yihang Wang , Joao Marcelo Lamim Ribeiro , Pratyush Tiwary