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相关论文: Mode-Shape Deformation of Power System DAEs by Tim…

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Modal analysis has long been consolidated as a basic tool to interpret dynamics and build low-order models of mechanical, thermal, and fluid systems. Eigenmodes arising from the spectral decomposition of the underlying linearized dynamics…

动力系统 · 数学 2024-12-17 Nicolas Torres-Ulloa , Erick Kracht , Urban Fasel , Benjamin Herrmann

Dynamic mode decomposition (DMD) is a leading tool for equation-free analysis of high-dimensional dynamical systems from observations. In this work, we focus on a combination of delay-coordinates embedding and DMD, i.e., delay-coordinates…

动力系统 · 数学 2022-12-21 Emil Bronstein , Aviad Wiegner , Doron Shilo , Ronen Talmon

This paper proposes a new semi-analytical approach for online time-domain power system simulation. The approach applies the differential transformation method (DTM) to the power system differential equation model to offline derive a…

动力系统 · 数学 2018-02-13 Yang Liu , Kai Sun

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

最优化与控制 · 数学 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

Shape optimization is a challenging task in many engineering fields, since the numerical solutions of parametric system may be computationally expensive. This work presents a novel optimization procedure based on reduced order modeling,…

数值分析 · 数学 2018-11-07 Nicola Demo , Marco Tezzele , Gianluca Gustin , Gianpiero Lavini , Gianluigi Rozza

Deep learning has emerged as an effective solution for addressing the challenges of short-term voltage stability assessment (STVSA) in power systems. However, existing deep learning-based STVSA approaches face limitations in adapting to…

机器学习 · 计算机科学 2023-09-21 Yang Li , Shitu Zhang , Yuanzheng Li , Jiting Cao , Shuyue Jia

Presented is an algorithm based on dynamic mode decomposition (DMD) for acceleration of the power method (PM). The power method is a simple technique for determining the dominant eigenmode of an operator $\mathbf{A}$, and variants of the…

计算物理 · 物理学 2019-04-23 Jeremy A. Roberts , Leidong Xu , Rabab Elzohery , Mohammad Abdo

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

系统与控制 · 计算机科学 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

High-fidelity large-eddy simulations are suitable to obtain insight into the complex flow dynamics in extended wind farms. In order to better understand these flow dynamics, we use dynamic mode decomposition (DMD) to analyze and reconstruct…

流体动力学 · 物理学 2022-04-26 Xuan Dai , Da Xu , Mengqi Zhang , Richard J. A. M. Stevens

The DMD (Dynamic Mode Decomposition) method has attracted widespread attention as a representative modal-decomposition method and can build a predictive model. However, the DMD may give predicted results that deviate from physical reality…

计算物理 · 物理学 2023-11-29 Yuhui Yin , Chenhui Kou , Shengkun Jia , Lu Lu , Xigang Yuan , Yiqing Luo

For large-scale industrial processes under closed-loop control, process dynamics directly resulting from control action are typical characteristics and may show different behaviors between real faults and normal changes of operating…

系统与控制 · 计算机科学 2018-09-11 Wenqing Li , Chunhui Zhao , Biao Huang

In the context of high penetration of renewables, the need to build dynamic models of power system components based on accessible measurement data has become urgent. To address this challenge, firstly, a neural ordinary differential…

系统与控制 · 电气工程与系统科学 2022-08-02 Tannan Xiao , Ying Chen , Shaowei Huang , Tirui He , Huizhe Guan

We use the integrable deformations method for a three-dimensional system of differential equations to obtain deformations of the T system. We analyze a deformation given by particular deformation functions. We point out that the obtained…

动力系统 · 数学 2019-06-10 Cristian Lazureanu , Cristiana Caplescu

The increasing penetration of renewable energy sources, characterised by low inertia and intermittent disturbances, presents substantial challenges to power system stability. As critical indicators of system stability, frequency dynamics…

系统与控制 · 电气工程与系统科学 2025-02-19 Xiao Li , Xinyi Wen , Benjamin Schäfer

Spatial interferometry, based on the measurement of total absorbed power, can be used to determine the state of coherence of the electromagnetic field to which any energy-absorbing structure is sensitive. The measured coherence tensor can…

量子物理 · 物理学 2015-06-11 Stafford Withington , Christopher N. Thomas

Power system dynamic modeling involves nonlinear differential and algebraic equations (DAEs). Solving DAEs for large power grid networks by direct implicit numerical methods could be inefficient in terms of solution time; thus, such methods…

系统与控制 · 电气工程与系统科学 2021-12-30 M Al Mamun , Sumit Paudyal , Sukumar Kamalasadan

Dynamic Mode Decomposition (DMD) is a powerful, data-driven method for diagnosing complex dynamics. Various DMD algorithms allow one to fit data with a low-rank model that decomposes it into a sum of coherent spatiotemporal patterns.…

动力系统 · 数学 2025-09-04 Karl Lapo , Samuele Mosso , J. Nathan Kutz

Piecewise-linear nonlinear systems appear in many engineering disciplines. Prediction of the dynamic behavior of such systems is of great importance from practical and theoretical viewpoint. In this paper, a data-driven model order…

动力系统 · 数学 2026-03-19 Akira Saito , Masato Tanaka

The identification of reduced-order models from high-dimensional data is a challenging task, and even more so if the identified system should not only be suitable for a certain data set, but generally approximate the input-output behavior…

系统与控制 · 计算机科学 2017-12-25 Peter Benner , Christian Himpe , Tim Mitchell

In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set framework. To obtain a fast and viable numerical solution in both time and space, temporal discretization is based on the…

综合数学 · 数学 2023-05-30 Aymen Laadhari , Ahmad Deeb