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Dynamical systems are ubiquitous in science and engineering as models of phenomena that evolve over time. Although complex dynamical systems tend to have important modular structure, conventional modeling approaches suppress this structure.…

Category Theory · Mathematics 2022-11-04 Sophie Libkind , Andrew Baas , Evan Patterson , James Fairbanks

Analog Quantum Computers are promising tools for improving performance on applications such as modeling behavior of quantum materials, providing fast heuristic solutions to optimization problems, and simulating quantum systems. Due to the…

Quantum Physics · Physics 2024-07-31 Zachary Morrell , Marc Vuffray , Sidhant Misra , Carleton Coffrin

The integration of experiment technologies with large language models (LLMs) is transforming scientific research, offering AI capabilities beyond specialized problem-solving to becoming research assistants for human scientists. In power…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Mengshuo Jia , Zeyu Cui , Gabriela Hug

Transverse contraction methods are extremely promising tools for the efficient contraction of tensor networks associated with the time evolution of quantum many-body systems, allowing in some cases to circumvent the entanglement barrier…

Quantum Physics · Physics 2026-01-14 Stefano Carignano

Co-simulation platforms are necessary to study the interactions of complex systems integrated in future smart grids. The Virtual Grid Integration Laboratory (VirGIL) is a modular co-simulation platform designed to study interactions between…

Computational Engineering, Finance, and Science · Computer Science 2015-05-04 Spyros Chatzivasileiadis , Marco Bonvini , Javier Matanza , Rongxin Yin , Zhenhua Liu , Thierry Nouidui , Emre C. Kara , Rajiv Parmar , David Lorenzetti , Michael Wetter , Sila Kiliccote

Gaussian processes are a class of flexible nonparametric Bayesian tools that are widely used across the sciences, and in industry, to model complex data sources. Key to applying Gaussian process models is the availability of well-developed…

Computation · Statistics 2019-07-02 Jamie Fairbrother , Christopher Nemeth , Maxime Rischard , Johanni Brea , Thomas Pinder

The energy transition has recently experienced a further acceleration. In order to make the integration of renewable energies as cost-effective, secure and sustainable as possible and to develop new paradigms for the energy system, many…

Systems and Control · Electrical Eng. & Systems 2023-04-13 Béla Wiegel , Tom Steffen , Davood Babazadeh , Christian Becker

Many optimization problems in power transmission networks can be formulated as polynomial problems with complex variables. A polynomial optimization problem with complex variables consists in optimizing a real-valued polynomial whose…

Optimization and Control · Mathematics 2019-04-19 Julie Sliwak , Manuel Ruiz , Miguel F. Anjos , Lucas Létocart , Emiliano Traversi

We present StochasticPrograms.jl, a user-friendly and powerful open-source framework for stochastic programming written in the Julia language. The framework includes both modeling tools and structure-exploiting optimization algorithms.…

Optimization and Control · Mathematics 2022-09-07 Martin Biel , Mikael Johansson

This paper proposes a tractable framework to determine key characteristics of non-linear dynamic systems by converting physics-informed neural networks to a mixed integer linear program. Our focus is on power system applications.…

Systems and Control · Electrical Eng. & Systems 2021-04-01 Georgios S. Misyris , Jochen Stiasny , Spyros Chatzivasileiadis

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

The rapid proliferation of data centers is reshaping modern power system dynamics. Unlike legacy industrial loads, data centers have power-electronic interfaces whose multi-timescale dynamics can interact strongly with the grid, inducing…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Xingyu Zhao , Junbo Zhao

A challenge for renewable and hybrid power systems is the dynamically stable integration of Renewable Energy Sources (RES). This paper specifically investigates the influence of intermittent RES and measurement delays from power electronic…

Physics and Society · Physics 2020-12-10 Sabine Auer , Tim Kittel

StreamSampling$.$jl is a Julia library designed to provide general and efficient methods for sampling from data streams in a single pass, even when the total number of items is unknown. In this paper, we describe the capabilities of the…

Software Engineering · Computer Science 2026-05-15 Adriano Meligrana

Recent advances in power system simulation have included the use of complex rectangular current and voltage (I-V) variables for solving the power flow and three-phase power flow problems. This formulation has demonstrated superior…

Systems and Control · Computer Science 2017-11-07 Amritanshu Pandey , Marko Jereminov , Gabriela Hug , Larry Pileggi

Unprecedented dynamic phenomena may appear in power grids due to higher and higher penetration of inverter-based resources (IBR), e.g., wind and solar photovoltaic (PV). A major challenge in dynamic modeling and analysis is that unlike…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Lingling Fan , Zhixin Miao

The hierarchical equations of motion (HEOM) approach can describe the reduced dynamics of a system simultaneously coupled to multiple bosonic and fermionic environments. The complexity of exactly describing the system-environment…

Inverter-based resources (IBRs) exhibit fast transient dynamics during network disturbances, which often cannot be properly captured by phasor and SCADA measurements. This shortcoming has recently been addressed with the advent of waveform…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Shivanshu Tripathi , Hossein Mohsenzadeh Yazdi , Maziar Raissi , Hamed Mohsenian-Rad

This paper establishes a sufficient condition for guaranteeing power flow solvability in distribution grids with inverter-based resources (IBRs) operating under IEEE 1547 compliant Volt-Var control. While designed to improve voltage…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Taha Saeed Khan , Hamidreza Nazaripouya

Score-driven models, also known as generalized autoregressive score models, represent a class of observation-driven time series models. They possess powerful properties, such as the ability to model different conditional distributions and…

Computation · Statistics 2020-08-27 Guilherme Bodin , Raphael Saavedra , Cristiano Fernandes , Alexandre Street