Model Order Estimation for Low-Frequency Oscillations Using Optimized Density Peak Clustering with K-Nearest Neighbor and Weighted Similarity.

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Title: Model Order Estimation for Low-Frequency Oscillations Using Optimized Density Peak Clustering with K-Nearest Neighbor and Weighted Similarity.
Authors: Li, Luzhuang1 hnliluzhuang@163.com, Zhang, Zhao2 zhangzhao333@hotmail.com, Zhou, Hongyan1 zhou321yan@163.com, Chen, Xue-Bo1 xuebochen@126.com
Source: Engineering Letters. May2026, Vol. 34 Issue 5, p1865-1873. 9p.
Subjects: Clustering algorithms, Parameter estimation, Robust statistics, Frequencies of oscillating systems, Electric power systems, Signal processing
Abstract: To address the challenge of accurately estimating model order in the analysis of low-frequency oscillation signals in power systems, we propose a density peak clustering with k-nearest neighbor and weighted similarity (DPC-KWS). This algorithm enhances eigenvalue density-based automatic order determination by incorporating nearest neighbor assignments and weighted similarity strategies. By utilizing a k-nearest neighbors relative density calculation, the algorithm effectively adapts to the characteristic eigenvalue distribution, where larger eigenvalues are sparse while smaller ones are dense, thereby enabling precise identification of the signal-noise subspace boundary. Coupled with dynamic neighborhood selection and weighted similarity allocation, this approach significantly enhances clustering robustness and reliability. Simulation results indicate that DPC-KWS achieves superior estimation accuracy and improved robustness under various noise conditions compared to conventional algorithms. Furthermore, when applied to total least squares estimation of signal parameters via rotational invariance techniques parameter estimation, the algorithm produces results that closely align with the true values, thereby demonstrating its effectiveness and practical value in advancing low-frequency oscillation analysis. [ABSTRACT FROM AUTHOR]
Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Model Order Estimation for Low-Frequency Oscillations Using Optimized Density Peak Clustering with K-Nearest Neighbor and Weighted Similarity.
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  Data: <searchLink fieldCode="AR" term="%22Li%2C+Luzhuang%22">Li, Luzhuang</searchLink><relatesTo>1</relatesTo><i> hnliluzhuang@163.com</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Zhao%22">Zhang, Zhao</searchLink><relatesTo>2</relatesTo><i> zhangzhao333@hotmail.com</i><br /><searchLink fieldCode="AR" term="%22Zhou%2C+Hongyan%22">Zhou, Hongyan</searchLink><relatesTo>1</relatesTo><i> zhou321yan@163.com</i><br /><searchLink fieldCode="AR" term="%22Chen%2C+Xue-Bo%22">Chen, Xue-Bo</searchLink><relatesTo>1</relatesTo><i> xuebochen@126.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Engineering+Letters%22">Engineering Letters</searchLink>. May2026, Vol. 34 Issue 5, p1865-1873. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Clustering+algorithms%22">Clustering algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+statistics%22">Robust statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+power+systems%22">Electric power systems</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: To address the challenge of accurately estimating model order in the analysis of low-frequency oscillation signals in power systems, we propose a density peak clustering with k-nearest neighbor and weighted similarity (DPC-KWS). This algorithm enhances eigenvalue density-based automatic order determination by incorporating nearest neighbor assignments and weighted similarity strategies. By utilizing a k-nearest neighbors relative density calculation, the algorithm effectively adapts to the characteristic eigenvalue distribution, where larger eigenvalues are sparse while smaller ones are dense, thereby enabling precise identification of the signal-noise subspace boundary. Coupled with dynamic neighborhood selection and weighted similarity allocation, this approach significantly enhances clustering robustness and reliability. Simulation results indicate that DPC-KWS achieves superior estimation accuracy and improved robustness under various noise conditions compared to conventional algorithms. Furthermore, when applied to total least squares estimation of signal parameters via rotational invariance techniques parameter estimation, the algorithm produces results that closely align with the true values, thereby demonstrating its effectiveness and practical value in advancing low-frequency oscillation analysis. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 1865
    Subjects:
      – SubjectFull: Clustering algorithms
        Type: general
      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Robust statistics
        Type: general
      – SubjectFull: Frequencies of oscillating systems
        Type: general
      – SubjectFull: Electric power systems
        Type: general
      – SubjectFull: Signal processing
        Type: general
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      – TitleFull: Model Order Estimation for Low-Frequency Oscillations Using Optimized Density Peak Clustering with K-Nearest Neighbor and Weighted Similarity.
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            NameFull: Li, Luzhuang
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            NameFull: Zhang, Zhao
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            NameFull: Zhou, Hongyan
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            NameFull: Chen, Xue-Bo
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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