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To counter the volatile nature of renewable energy sources, gas networks take a vital role. But, to ensure fulfillment of contracts under these circumstances, a vast number of possible scenarios, incorporating uncertain supply and demand,…

Optimization and Control · Mathematics 2021-07-20 Christian Himpe , Sara Grundel , Peter Benner

Model reduction methods are relevant when the computation time of a full convection-diffusion-reaction simulation based on detailed chemical reaction mechanisms is too large. In this article, we review a model reduction approach based on…

Computational Physics · Physics 2014-05-20 Dirk Lebiedz , Jochen Siehr

Density-based topology optimization has become a powerful method for automatically generating optimized designs in a wide variety of applications. However, it comes with a large computational cost when solving the physical model requires…

Numerical Analysis · Mathematics 2026-04-22 Luis Fernando Cusicanqui Lopez , Ramadan Krasniqi , Florian Feppon , Karl Meerbergen

In recent years, there has been a growing interest in understanding complex microstructures and their effect on macroscopic properties. In general, it is difficult to derive an effective constitutive law for such microstructures with…

Computational Engineering, Finance, and Science · Computer Science 2023-10-18 Theron Guo , Ondřej Rokoš , Karen Veroy

This paper outlines reduced-order models for grid-forming virtual-oscillator-controlled inverters with nested current- and voltage-control loops, and current-limiting action for over-current protection. While a variety of model-reduction…

Systems and Control · Electrical Eng. & Systems 2021-05-24 Olaoluwapo Ajala , Minghui Lu , Brian Johnson , Sairaj Dhople , Alejandro Domínguez-García

Reduced order modeling (ROM) provides an efficient framework to compute solutions of parametric problems. Basically, it exploits a set of precomputed high-fidelity solutions --- computed for properly chosen parameters, using a full-order…

Numerical Analysis · Mathematics 2019-11-19 Nicola Demo , Marco Tezzele , Gianluigi Rozza

An approach to derive low-complexity models describing thermal radiation for the sake of simulating the behavior of electric arcs in switchgear systems is presented. The idea is to approximate the (high dimensional) full-order equations,…

Optimization and Control · Mathematics 2015-12-09 Lorenzo Fagiano , Rudolf Gati

Rechargeable lithium metal batteries (LMBs) with an ultrahigh theoretical energy density have attracted more and more attentions for their crucial applications of portable electronic devices, electric vehicles, and smart grids. However, the…

Materials Science · Physics 2024-10-22 Yanchen Fana , Xiang Chenb , Dominik Legut , Qianfan Zhang

Hamiltonian particle-based simulations of plasma dynamics are inherently computationally intensive, primarily due to the large number of particles required to obtain accurate solutions. This challenge becomes even more acute in many-query…

Numerical Analysis · Mathematics 2025-06-19 Emmanuel Franck , Laurent Navoret , Vincent Vigon , Raphaël Côte , Guillaume Steimer

With the need for optimisation based supervisory controllers for complex energy systems, comes the need for reduced order system models representing not only the non-linear characteristics of the components, but also certain unknown process…

Systems and Control · Computer Science 2020-10-22 Parantapa Sawant , Adrian Bürger , Minh Dang Doan , Clemens Felsmann , Jens Pfafferott

Reduced order models are computationally inexpensive approximations that capture the important dynamical characteristics of large, high-fidelity computer models of physical systems. This paper applies machine learning techniques to improve…

Machine Learning · Computer Science 2015-11-11 Azam Moosavi , Razvan Stefanescu , Adrian Sandu

With the rapid surge in the number of on-road Electric Vehicles (EVs), the amount of spent lithium-ion (Li-ion) batteries is also expected to explosively grow. The spent battery packs contain valuable metal and materials that should be…

Robotics · Computer Science 2023-03-15 Huanqing Wang , Kaixiang Zhang , Keyi Zhu , Ziyou Song , Zhaojian Li

Projection based model order reduction has become a mature technique for simulation of large classes of parameterized systems. However, several challenges remain for problems where the solution manifold of the parameterized system cannot be…

Numerical Analysis · Mathematics 2022-03-22 Tim Keil , Mario Ohlberger

In this paper the authors study a non-linear elliptic-parabolic system, which is motivated by mathematical models for lithium-ion batteries. One state satisfies a parabolic reaction diffusion equation and the other one an elliptic equation.…

Numerical Analysis · Mathematics 2023-08-02 Behzad Azmi , Andrea Petrocchi , Stefan Volkwein

We propose a multiscale model predictive control (MPC) framework for stationary battery systems that exploits high-fidelity models to trade-off short-term economic incentives provided by energy and frequency regulation (FR) markets and…

Optimization and Control · Mathematics 2020-04-14 Yankai Cao , Seong Beom Lee , Venkat R. Subramanian , Victor M. Zavala

Next-generation lithium-ion batteries with silicon anodes have positive characteristics due to higher energy densities compared to state-of-the-art graphite anodes. However, the large volume expansion of silicon anodes can cause high…

Numerical Analysis · Mathematics 2024-04-03 R. Schoof , G. F. Castelli , W. Dörfler

Dynamic mechanical metamaterials (MMs) are artificial media composed of periodic micro-structures, designed to manipulate wave propagation. Modeling and designing these materials can be computationally demanding due to the broad design…

Applied Physics · Physics 2023-07-04 Weidi Wang , Alireza Amirkhizi

Electrochemical batteries are ubiquitous devices in our society. When they are employed in mission-critical applications, the ability to precisely predict the end of discharge under highly variable environmental and operating conditions is…

Machine Learning · Computer Science 2022-06-07 Luca Biggio , Tommaso Bendinelli , Chetan Kulkarni , Olga Fink

High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on…

Numerical Analysis · Mathematics 2023-07-10 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

This paper proposes a model-based optimization method for the production of automotive seals in an extrusion process. The high production throughput, coupled with quality constraints and the inherent uncertainty of the process, encourages…

Systems and Control · Electrical Eng. & Systems 2024-10-31 Raul Cruz-Oliver , Luis Monzon , Edgar Ramirez-Laboreo , Jose-Manuel Rodriguez-Fortun
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