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Novel Approach and Index for Evaluating Harmonic Contributions of Multiple Harmonic Sources Based on Gaussian Mixture Model With Multipoint Harmonic Phasor Measurements

delete2026-04-01
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PRE
AI
C
Chuan Wang
徐方维 cover
徐方维 (Fangwei Xu) *
K
Kai Guo
W
Wantong Cai
W
Wei Wu
B
Bo Zhao
C
Cheng Liu
X
Xinyang Li
DOI:10.1109/TPWRD.2025.3647055delete
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Abstract

Abstract

En 中文
Determining the harmonic contributions (HCs) of multiple harmonic sources (HSs) is a challenging task owing to the large fluctuations of background harmonic sources (BHSs) that impede the accurate evaluation of HCs for the existing approaches. To address this problem, this paper proposes a novel approach based on the Gaussian mixture model (GMM) using multipoint synchronized harmonic phasor measurements. In the proposed approach, the multipoint model capable of simultaneously solving multiple harmonic transfer impedances (HTIs) is first constructed, where the fluctuations of background harmonic voltage are treated as the statistical variables represented by multiple different Gaussian distributions. Then, we resort to the expectation maximization (EM) algorithm and Bayesian information criterion (BIC) for the estimation of the model parameters associated with BHSs and HTIs, achieving good estimation performance under large fluctuation levels of BHSs. Finally, a new HC index is formulated to synthetically evaluate the overall HCs of each HS to the harmonic problems of the concerned area. The proposed index considers not only the differences in the severity degree of harmonic-standard-exceeding problems on different concerned buses but also the time-varying characteristics of the HSs being evaluated. It is more effective than the existing index in identifying the real harmonic contributors to the concerned area. The simulations performed in the IEEE 33-Bus test system have demonstrated the advantages of the proposed approach, with more than 50% accuracy improvement over the existing approaches.
Keywords:
Harmonic analysis
Indexes
Power system harmonics
Voltage measurement
Voltage
Fluctuations
Current measurement
Accuracy
Synchronization
Power grids
Power quality harmonic
harmonic contribution
background harmonic
Gaussian mixture model
harmonic phasor measurements

Journal

IEEE Transactions on Power Delivery cover
IEEE Transactions on Power Delivery
IF:
3.7
Papers:
9.1K
Citations:
2.2W

Organization

C
China Southern Power Grid
Scholars:
3.3K
Papers: 2.4K
Citations: 8
S
sichuan university
Scholars:
11.5W
Papers: 7.6W
Citations: 100
S
state grid corporation of china
Scholars:
1.8K
Papers: 646
Citations: 0
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