Review and comparison of frequency-domain curve-fitting techniques: Vector fitting, frequency-partitioning fitting, matrix pencil method and loewner matrix

Salarieh, Bamdad; Silva, H.M.J. De

doi:10.1016/j.epsr.2021.107254

Cited by 13 publications

(3 citation statements)

References 33 publications

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“…Statics analysis of the cat-head transmission tower is the basis of nonlinear buckling analysis of the cathead transmission tower under wind load [5]. By statics analysis of the cat-head transmission tower, the weak position of the cat-head transmission tower under wind load and the instability of the cat-head transmission tower under wind speed can be obtained.…”

Section: Static Analysis Of Cat-head Transmission Towermentioning

confidence: 99%

Nonlinear buckling analysis of cat-head transmission tower under strong wind load

Jiang,

Zhu,

Wang

2023

J. Phys.: Conf. Ser.

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Based on ANSYS APDL finite element analysis software and B-R criterion combined with displacement equality criterion, the dynamic stability of the cat-head transmission tower is analyzed. In this paper, the static characteristics of the cat-head transmission tower are analyzed first, and the wind load is gradually increased according to the wind speed gradient of 5 m/s. The results show that the cat-head transmission tower cannot be normally served under the wind speed of 45 m/s. In order to analyze the specific instability wind speed of the transmission tower in detail, the nonlinear buckling analysis is used to analyze the cat-head transmission tower. The nonlinear buckling analysis results of the cat-head transmission tower are as follows: the wind speed of instability is V10=43.65 m/s. Therefore, the influence of wind load fluctuation on the dynamic stability of the transmission tower should not be ignored, and the influence of fluctuating wind should be considered in the design of the transmission tower.

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Section: Static Analysis Of Cat-head Transmission Towermentioning

confidence: 99%

Nonlinear buckling analysis of cat-head transmission tower under strong wind load

Jiang,

Zhu,

Wang

2023

J. Phys.: Conf. Ser.

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“…However, they neglect properties of decision variables, which is an important part of discovering high-quality search individuals. Simultaneously, according to [54,55], curve fitting technique is a classic and popular technique, which can reflect the distribution relationship between variables to a certain extent and predict possible regions or directions. Motivated by this, this paper proposed a novel method for predicting a high-quality population based on the distribution and classification characteristics of variables after a change is detected.…”

Section: Dynamic Multi-objective Optimization Algorithmsmentioning

confidence: 99%

Solving dynamic multi-objective problems with a new prediction-based optimization algorithm

et al. 2021

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This paper proposes a new dynamic multi-objective optimization algorithm by integrating a new fitting-based prediction (FBP) mechanism with regularity model-based multi-objective estimation of distribution algorithm (RM-MEDA) for multi-objective optimization in changing environments. The prediction-based reaction mechanism aims to generate high-quality population when changes occur, which includes three subpopulations for tracking the moving Pareto-optimal set effectively. The first subpopulation is created by a simple linear prediction model with two different stepsizes. The second subpopulation consists of some new sampling individuals generated by the fitting-based prediction strategy. The third subpopulation is created by employing a recent sampling strategy, generating some effective search individuals for improving population convergence and diversity. Experimental results on a set of benchmark functions with a variety of different dynamic characteristics and difficulties illustrate that the proposed algorithm has competitive effectiveness compared with some state-of-the-art algorithms.

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“…In addition, fewer model validation tools are available for detection of the outliers in nonlinear regression than those in linear regression. The linear least squares methods, e.g., Vector Fitting (VF) [5], Matrix Pencil [6], and Loewner Matrix techniques [7], have thus been drawing much research interests [8]- [10].…”

Section: Introductionmentioning

confidence: 99%

Extrapolation of Band-Limited Frequency Responses for Out-of-Band Modal Synthesis

Zhou

Beerten

2022

2022 International Power Electronics Conference (IPEC-Himeji 2022- ECCE Asia)

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The bandwidth of the measured or simulated frequency responses is sometimes relatively narrow, resulting in that some out-of-band modes of interest cannot be directly observed from the band-limited frequency responses. Although various kinds of curve fitting algorithms aim at generating linear or nonlinear transfer functions for these frequency samples, their fitting objective is commonly minimizing the in-band fitting errors, whereas their reproduction/identification capabilities for the out-of-band modes are usually ignored and may be not satisfying. To fill this research gap, this paper, based on the sufficient excavation of the in-band frequency responses information induced by the out-of-band partial fraction terms, develops an extrapolation method for the band-limited frequency responses in order to identify or synthesize the out-of-band modes. The effectiveness of the proposed out-of-band modal synthesis method is validated on artificially created rational functions with different numbers of out-of-band modes. The proposed frequency-domain extrapolation method can obtain unknown and much modal information from known and little modal information, which would be a desirable tool to identify the modes of interest not located within the available frequency interval.

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Review and comparison of frequency-domain curve-fitting techniques: Vector fitting, frequency-partitioning fitting, matrix pencil method and loewner matrix

Cited by 13 publications

References 33 publications

Nonlinear buckling analysis of cat-head transmission tower under strong wind load

Nonlinear buckling analysis of cat-head transmission tower under strong wind load

Solving dynamic multi-objective problems with a new prediction-based optimization algorithm

Extrapolation of Band-Limited Frequency Responses for Out-of-Band Modal Synthesis

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