检索结果-内蒙古大学图书馆

Mode identification by eigensystem realization algorithm through virtual frequency response function

STRUCTURAL CONTROL & HEALTH MONITORING 2019年第10期26卷 e2429-e2429页

作者： Qu, Chun-Xu Yi, Ting-Hua Li, Hong-Nan Dalian Univ Technol Sch Civil Engn Dalian 116023 Peoples R China

Mode identification in civil engineering uses ambient excitation response, where the excitation is assumed to be stationary white noise. However, practical engineering conditions cannot satisfy this assumption of ideal excitation. This paper proposes an innovative method based on eigensystem realization algorithm and a proposed virtual frequency response function. The formulation of the virtual frequency response function is derived from the ratio of the cross-power and autopower spectral density functions of the measurement signals. The impulse responses are calculated by inverse Fourier transform of the product of the virtual frequency response function and the frequency response function of the reference point. After obtaining impulse responses, eigensystem realization algorithm is then performed to identify structural modes. The proposed virtual frequency response function and eigensystem realization algorithm are validated by a numerical example. The results show that the virtual frequency response function and eigensystem realization algorithm can give much a better impulse response than natural excitation technique and identify more precise mode parameters. Finally, the proposed method is applied to a practical engineering bridge, where the results by the virtual frequency response function and eigensystem realization algorithm can also give better results than those given by natural excitation technique and eigensystem realization algorithm.

关键词： eigensystem realization algorithm mode identification natural excitation technique stabilization diagram virtual frequency response function

来源：评论

学校读者我要写书评

暂无评论

Random Matrix-Based Approach for Uncertainty Analysis of the eigensystem realization algorithm

引用

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 2017年第8期40卷 1877-1891页

作者： Vishwajeet, Kumar Singla, Puneet Majji, Manoranjan Univ Buffalo Dept Mech & Aerosp Engn Buffalo NY 14260 USA

In this paper, uncertainty in the state space matrices in a linear stochastic time-invariant discrete time system is presented by performing uncertainty analysis of the eigensystem realization algorithm (ERA). An analytical expression for the calculation of the singular values of Hankel matrix is developed. The expression for the joint distribution of the singular values is used to estimate the rank of the Hankel matrix. The distribution of singular values is also used to find the distribution on the bound of norm of system matrix.

关键词： eigensystem realization algorithm Finite Element Modeling Controllability Gramian Singular Value Decomposition Model Order Reduction Mathematical Models Computing Frequency Response Functions Euler Bernoulli Beam Theory Observer Kalman Filter Identification

来源：评论

学校读者我要写书评

暂无评论

Tangential interpolation-based eigensystem realization algorithm for MIMO systems

引用

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS 2016年第4期22卷 282-306页

作者： Kramer, B. Gugercin, S. MIT Dept Aeronaut & Astronaut Cambridge MA 02139 USA Virginia Tech Dept Math Blacksburg VA 24061 USA Virginia Tech Interdisciplinary Ctr Appl Math Blacksburg VA USA

The eigensystem realization algorithm (ERA) is a commonly used data-driven method for system identification and reduced-order modelling of dynamical systems. The main computational difficulty in ERA arises when the system under consideration has a large number of inputs and outputs, requiring to compute a singular value decomposition (SVD) of a large-scale dense Hankel matrix. In this work, we present an algorithm that aims to resolve this computational bottleneck via tangential interpolation. This involves projecting the original impulse response sequence onto suitably chosen directions. The resulting data-driven reduced model preserves stability and is endowed with an a priori error bound. Numerical examples demonstrate that the modified ERA algorithm with tangentially interpolated data produces accurate reduced models while, at the same time, reducing the computational cost and memory requirements significantly compared to the standard ERA. We also give an example to demonstrate the limitations of the proposed method.

关键词： System identification MIMO systems eigensystem realization algorithm interpolation Hankel matrix

来源：评论

学校读者我要写书评

暂无评论

Deriving operating characteristic equations for overcurrent protection devices based on eigensystem realization algorithm

引用

JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS 2016年第3期39卷 291-302页

作者： Lu, Ying Wu, Feng-Jih St Johns Univ Dept Elect Engn Dept Informat & Commun New Taipei City Taiwan

Accurate representation of the operating characteristics of conventional inverse-time overcurrent (OC) protection devices plays an important role in protection coordination schemes. Based on the singular value decomposition of the Hankel matrix, this study uses the eigensystem realization algorithm to curve-fit the characteristic curves of OC protection devices under the digital state-space model and obtain the equations of their operating characteristics. This study applies the proposed method to four types of OC protection devices, including two electromechanical OC relays, one digital OC relay, and one power fuse. One characteristic curve from each protection device is selected for curve-fitting. For all four OC protection devices, the absolute error values for the hundreds of sample points between the actual characteristic curves and the corresponding curve-fitting equations are all less than 10 ms. The numbers of fitting components required are determined by the desired maximum absolute values of errors for the fitting equation. Finally, this study uses the derived equation to construct the characteristic curve of customized OC relay to solve the coordination problem of power system protection.

关键词： Customized overcurrent relay eigensystem realization algorithm overcurrent protection device operating characteristic equation

来源：评论

学校读者我要写书评

暂无评论

Efficacy of modal curvature damage detection in various pre-damage data assumptions and modal identification techniques

引用

BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES 2025年第1期73卷

作者： Drozdowska, Milena Szafranski, Marek Szafranska, Anna Tomaszewska, Agnieszka Gdansk Univ Technol Fac Civil & Environm Engn Dept Struct Mech Narutowicza 11-12 PL-80233 Gdansk Poland Gdansk Univ Technol Fac Civil & Environm Engn Dept Engn Struct Narutowicza 11-12 PL-80233 Gdansk Poland Gdansk Univ Technol Div Differential Equat & Applicat Math Inst Appl Math Narutowicza 11-12 PL-80233 Gdansk Poland

The efficacy of modal curvature approach for damage localization is discussed in the paper in the context of input data. Three modal identification methods, i.e., eigensystem realization algorithm (ERA), Natural Excitation Technique with ERA (NExT-ERA) and Covariance Driven Stochastic Subspace Identification (SSI-Cov), and four methods of determining baseline data, i.e., real measurement of the undamaged state, analytical function, Finite Element (FE) model and approximation of current experimental mode shape, are considered. Practical conclusions are formulated based on analysis of two cases. The first is a laboratory beam with a notch and the second is a stone-masonry historic lighthouse with modern restoration in its upper part. The analysis shows that NExT-ERA and SSI-Cov in combination with approximation of current mode shape provide high efficacy in damage localization alongside relatively straightforward determination of baseline data. It proves that the construction of advanced FE models of a structure can be replaced with a much simpler method of baseline data acquisition. Furthermore, the research shows the structural mode shapes identified with ERA may not always indicate the presence of damage.

关键词： modal curvature based damage detection stochastic subspace identification eigensystem realization algorithm natural excitation technique masonry tower

来源：评论

学校读者我要写书评

暂无评论

Characteristic value decomposition: A unifying paradigm for data-driven modal

引用

MECHANICAL SYSTEMS AND SIGNAL PROCESSING 2025年 222卷

作者： Li, He-Wen-Xuan Stein, Dalton L. Chelidze, David Cornell Univ Sibley Sch Mech & Aerosp Engn Lab Intelligent Sensing & Control Ithaca NY 14850 USA Univ Rhode Isl Dept Mech Ind & Syst Engn Nonlinear Dynam Lab Kingston RI 02881 USA

Data-driven modal analysis is an indispensable means to understand the dynamic behavior of engineered structures and natural systems. It effectively captures active dynamic behavior and embeds them in a set of identified linear modal subspaces, unveiling complex dynamic behavior via the superposition of simpler hierarchical spatiotemporal dynamics. Despite the existence of many methods, there is no unified perspective connecting these modal analysis techniques. This paper proposes a new modal decomposition method, the characteristic value decomposition (CVD), that provides a unifying paradigm for data-driven modal analysis. CVD identifies identical spatial modes and temporal coordinates from two measurement data matrices. The modal parameters are identified through an eigendecomposition to a quotient of auto-covariance and cross-covariance matrices of the two data matrices. This paper shows that several data- driven modal analysis methods, namely, the state-variable decomposition, the dynamic mode decomposition, the Ibrahim time domain method, and the eigensystem realization algorithm, are special cases of CVD when the two data matrices are appropriately selected. Moreover, the CVD identifies the modal parameters with higher accuracy and is robust to added noise compared to established methods, as demonstrated using numerical experiments. It is also shown that the CVD flexibly utilizes data from multiple experiments and undersampled data sets to unveil system dynamics.

关键词： Data-driven modal analysis Characteristic value decomposition Output-only modal analysis Dynamic mode decomposition State-variable decomposition eigensystem realization algorithm Ibrahim time domain method

来源：评论

学校读者我要写书评

暂无评论

Data-Driven Modeling for Transonic Aeroelastic Analysis

引用

JOURNAL OF AIRCRAFT 2024年第2期61卷 625-637页

作者： Fonzi, Nicola Brunton, Steven L. Fasel, Urban Polytech Univ Milan Dept Aerosp Sci & Technol I-20156 Milan Italy Univ Washington Dept Mech Engn Seattle WA 98195 USA Imperial Coll Dept Aeronaut London SW7 England

Aeroelasticity in the transonic regime is challenging because of the strongly nonlinear phenomena involved in the formation of shock waves and flow separation. In this work, we introduce a computationally efficient framework for accurate transonic aeroelastic analysis. We use dynamic mode decomposition with control to extract surrogate models from high-fidelity computational fluid dynamics (CFD) simulations. Instead of identifying models of the full flowfield or focusing on global performance indices, we directly predict the pressure distribution on the body surface. The learned surrogate models provide information about the system's stability and can be used for control synthesis and response studies. Specific techniques are introduced to avoid spurious instabilities of the aerodynamic model. We use the high-fidelity CFD code SU2 to generate data and test our method on the benchmark supercritical wing. Our Python-based software is fully open source and will be included in the SU2 package to streamline the workflow from defining the high-fidelity aerodynamic model to creating a surrogate model for flutter analysis.

关键词： Aeroelastic Analysis Uncertainty Quantification eigensystem realization algorithm Shock Waves Proper Orthogonal Decomposition Structural Dynamics and Characterization CFD Codes Data Science Machine Learning

来源：评论

学校读者我要写书评

暂无评论

Vibration Attenuation of a Composite Beam by Fuzzy Control

引用

JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES 2024年第1期12卷 191-200页

作者： Xavier da Silva, Camila Albertin Lara-Molina, Fabian Andres Cavalcante da Costa, Romeu Rony Koroishi, Edson Hideki Santana Alves, Marco Tulio Cunha Palacios, Rodrigo Henrique Univ Tecnol Fed Parana UTFPR Av Alberto Carazzai 1640 Cornelio Procopio Parana Brazil Univ Fed Bahia UFBA Rua Aristides Novis 2 Salvador BA Brazil

Purpose The present work proposes active vibration control in a composite material beam using electromagnetic actuators. The advantage of using electromagnetic actuators is applying control force without mechanical contact. Method In order to evaluate the performance of the fuzzy control technique, a controller using fuzzy logic was designed. The mathematical model of the beam was obtained through the eigensystem realization algorithm/observer/Kalman identification, which consists of an identification method used to identify modal parameters in complex structures. With the obtained mathematical model, the controllers were designed, responsible for determining the control effort. Electromagnetic actuators are responsible for applying control efforts to stabilize the system. Results The numerical simulations responses and the experimental system control responses were obtained from this. The system vibration attenuation was obtained in both procedures with three types of controllers, such that all responses were evaluated, both in the time and frequency domains. Conclusion Finally, the robustness of the controller was analyzed from the variation inserted in the dynamic matrix of the system, thus validating the studied methodology.

关键词： Active vibration control Fuzzy logic eigensystem realization algorithm Electromagnetic actuator Composite material

来源：评论

学校读者我要写书评

暂无评论

Coordinated Optimal Volt/Var Control for Distribution Networks via D-PMUs and EV Chargers by Exploiting the eigensystem realization

引用

IEEE TRANSACTIONS ON SMART GRID 2021年第3期12卷 2425-2438页

作者： Mejia-Ruiz, Gabriel E. Cardenas-Javier, Romel Arrieta Paternina, Mario R. Rodriguez-Rodriguez, Juan R. Ramirez, Juan M. Zamora-Mendez, Alejandro Univ Nacl Autonoma Mexico Grad Program Elect Engn Power Syst Mexico City 04510 DF Mexico Univ Nacl Autonoma Mexico Dept Elect Engn Mexico City 04510 DF Mexico CINVESTAV Dept Elect Engn Guadalajara Jal 45019 Mexico Michoacan Univ St Nicholas Hidalgo Elect Engn Fac Morelia 58030 Michoacan Mexico

This article proposes a novel optimal hybrid control framework to improve the voltage profile of highly unbalanced Distribution Grids (DGs) by coordinating the injection of reactive power from multiple off-board Electrical Vehicles (EVs) chargers. It exploits the time-synchronized measurements advantages, centralized control, and local controllers embedded into a hierarchical and scalable scheme, coordinated by the distribution system operator (DSO). The proposed framework is aimed to increase the modern electrical networks' flexibility, reliability, and stability. It is powered by the eigensystem realization (ER)-based system identification technique, a Linear Quadratic Gaussian (LQG) controller, the Distribution-level Phasor Measurement Units (D-PMUs), and a new aggregator agent that handles the EV chargers power injection to precisely and timely regulate the dynamic voltage response in a sub-area or the entire DG. The robustness and feasibility of the proposal are demonstrated by employing simulated scenarios with unbalanced faults, latency in communications, and highly unbalanced loads conditions on the IEEE 13 and 123 nodes test feeders, compensating the voltage variations accurately in less than 205 ms. The promising outcome of this study suggests a novel application for an emerging measurement-based control system in the operation of modern active DGs.

关键词： Voltage control Reactive power Voltage measurement Distribution networks Power measurement Delays Vehicle dynamics Distribution grids Volt Var control optimal control eigensystem realization algorithm electrical vehicle chargers distribution phasor measurement units

来源：评论

学校读者我要写书评

暂无评论

EFFICIENT algorithmS FOR eigensystem realization USING RANDOMIZED SVD

引用

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2021年第2期42卷 1045-1072页

作者： Minster, Rachel Saibaba, Arvind K. Kar, Jishnudeep Chakrabortty, Aranya North Carolina State Univ Dept Math Raleigh NC 27695 USA North Carolina State Univ Dept Elect & Comp Engn Raleigh NC 27695 USA

The eigensystem realization algorithm (ERA) is a data-driven approach for subspace system identification and is widely used in many areas of engineering. However, the computational cost of the ERA is dominated by a step that involves the singular value decomposition (SVD) of a large, dense matrix with block Hankel structure. This paper develops computationally efficient algorithms for reducing the computational cost of the SVD step by using randomized subspace iteration and exploiting the block Hankel structure of the matrix. We provide a detailed analysis of the error in the identified system matrices and the computational cost of the proposed algorithms. We demonstrate the accuracy and computational benefits of our algorithms on two test problems: the first involves a partial differential equation that models the cooling of steel rails, and the second is an application from power systems engineering.

关键词： eigensystem realization algorithm system identification singular value decomposition randomized algorithms

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：