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Model order reduction seeks to approximate large-scale dynamical systems by lower-dimensional reduced models. For linear systems, a small reduced dimension directly translates into low computational cost, ensuring online efficiency. This…

Numerical Analysis · Mathematics 2025-12-17 Björn Liljegren-Sailer

Adding flexible polymers to a Newtonian solvent confers complex properties to the resulting solution. The additional complexity substantially increases the computational cost of numerical simulations, which often makes them prohibitively…

Fluid Dynamics · Physics 2026-04-30 Christian Amor , Adrián Corrochano , Marco Edoardo Rosti , Soledad Le Clainche

Although projection-based reduced-order models (ROMs) for parameterized nonlinear dynamical systems have demonstrated exciting results across a range of applications, their broad adoption has been limited by their intrusivity: implementing…

Machine Learning · Computer Science 2021-06-18 Zhe Bai , Liqian Peng

Grid-forming inverters control the power transfer between the AC and DC sides of an electrical grid while maintaining the frequency and voltage of the AC side. This paper focuses on ensuring large-signal stability of an electrical grid with…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Jared Miller , Maitraya Avadhut Desai , Xiuqiang He , Roy S. Smith , Gabriela Hug

This paper examines the dynamics of power-electronic inverters in islanded microgrids that are controlled to emulate the dynamics of Van der Pol oscillators. The general strategy of controlling inverters to emulate the behavior of nonlinear…

Systems and Control · Computer Science 2016-01-21 Mohit Sinha , Florian Dorfler , Brian B. Johnson , Sairaj V. Dhople

This paper investigates a model reduction problem for linear directed network systems, in which the interconnections among the vertices are described by general weakly connected digraphs. First, the definitions of pseudo controllability and…

Optimization and Control · Mathematics 2019-11-12 Xiaodong Cheng , Jacquelien M. A. Scherpen

This work introduces a novel dispatchable current source virtual oscillator control (dCVOC) scheme for grid-following (GFL) converters, which exhibits duality with dispatchable virtual oscillator control (dVOC) in two ways: a) the current…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Kehao Zhuang , Linbin Huang , Huanhai Xin , Xiuqiang He , Verena Häberle , Florian Dörfler

Recently developed reduced-order modeling techniques aim to approximate nonlinear dynamical systems on low-dimensional manifolds learned from data. This is an effective approach for modeling dynamics in a post-transient regime where the…

Dynamical Systems · Mathematics 2023-09-27 Samuel E. Otto , Gregory R. Macchio , Clarence W. Rowley

Design and implementation of an optimal and robust single-loop voltage controller is proposed for single-phase grid forming voltage source inverter (VSI). The objective of the proposed controller is to have good reference tracking and…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Soham Chakraborty , Sourav Patel , Murti V. Salapaka

Vortex-Induced Vibrations (VIVs) of cylindrical structures present significant challenges in various engineering applications, including marine risers, tall buildings, and renewable energy systems. Hence, it is vital to control…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Soha Ilbeigi , Ashkan Bagherzadeh , Alireza Sharifi

In this paper, a practicable simulation-free model order reduction method by nonlinear moment matching is developed. Based on the steady-state interpretation of linear moment matching, we comprehensively explain the extension of this…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Maria Cruz Varona , Raphael Gebhart , Julian Suk , Boris Lohmann

The increasing integration of renewable energy sources (RESs) into power systems requires the deployment of grid-forming inverters to ensure a stable operation. Accurate modeling of these devices is necessary. In this paper, a system…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Anna Büttner , Hans Würfel , Sebastian Liemann , Johannes Schiffer , Frank Hellmann

Controlling rhythmic systems, typically modeled as limit-cycle oscillators, is an important subject in real-world problems. Phase reduction theory, which simplifies the multidimensional oscillator state under weak input to a single phase…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Koichiro Yawata , Norihisa Namura , Yuzuru Kato , Hiroya Nakao

This paper presents a \textit{physics-based} steady-state equivalent circuit model of a two-stage bidirectional inverter. These inverters connect distributed energy resources (DERs), such as photovoltaic (PV) and battery systems, to…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Emmanuel O. Badmus , Amritanshu Pandey

Online feedback optimization (OFO) enables optimal steady-state operations of a physical system by employing an iterative optimization algorithm as a dynamic feedback controller. When the plant consists of several interconnected…

Optimization and Control · Mathematics 2024-09-13 Wenbin Wang , Zhiyu He , Giuseppe Belgioioso , Saverio Bolognani , Florian Dörfler

Vision Transformers (ViT) have marked a paradigm shift in computer vision, outperforming state-of-the-art models across diverse tasks. However, their practical deployment is hampered by high computational and memory demands. This study…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Feiyang Chen , Ziqian Luo , Lisang Zhou , Xueting Pan , Ying Jiang

Most previously proposed controllers are analyzed in the small-signal/quasi-steady regime rather than large-signal or transient stability for grid-forming inverters (GFMI). Additionally, methods that presume system-wide data--global…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Qianxi Tang , Li Peng

Motivated by the recent and growing interest in smart grid technology, we study the operation of DC/AC inverters in an inductive microgrid. We show that a network of loads and DC/AC inverters equipped with power-frequency droop controllers…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dörfler , Francesco Bullo

Frequency-limited model order reduction aims to approximate a high-order model with a reduced-order model that maintains high fidelity within a specific frequency range. Beyond this range, a decrease in accuracy is acceptable due to the…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Umair Zulfiqar , Xin Du , Qiuyan Song , Zhi-Hua Xiao , Victor Sreeram

As more distributed energy resources (DERs) are connected to the power grid, it becomes increasingly important to ensure safe and effective coordination between legacy voltage regulation devices and inverter-based DERs. In this work, we…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Jaimie Swartz , Federico Celi , Fabio Pasqualetti , Alexandra von Meier
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