{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T03:23:44Z","timestamp":1775705024598,"version":"3.50.1"},"reference-count":39,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2025,8,30]],"date-time":"2025-08-30T00:00:00Z","timestamp":1756512000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Hubei Province Key Laboratory of System Science in Metallurgical Process","award":["Z202302"],"award-info":[{"award-number":["Z202302"]}]},{"name":"Hubei Province Key Laboratory of System Science in Metallurgical Process","award":["2023C0204"],"award-info":[{"award-number":["2023C0204"]}]},{"name":"\u201cThe 14th Five Year Plan\u201d Hubei Provincial advantaged characteristic disciplines (groups) project of Wuhan University of Science and Technology","award":["Z202302"],"award-info":[{"award-number":["Z202302"]}]},{"name":"\u201cThe 14th Five Year Plan\u201d Hubei Provincial advantaged characteristic disciplines (groups) project of Wuhan University of Science and Technology","award":["2023C0204"],"award-info":[{"award-number":["2023C0204"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Electrical networks face operational challenges from power quality-affecting disturbances. Since disturbance signatures directly affect classifier performance, optimized feature selection becomes critical for accurate power quality assessment. The pursuit of robust feature extraction inevitably constrains the dimensionality of the discriminative feature set, but the complexity of the recognition model will be increased and the recognition speed will be reduced if the feature vector dimension is too high. Building upon the aforementioned requirements, in this paper, we propose a feature extraction framework that combines improved symplectic geometric mode decomposition, refined generalized multiscale quantum entropy, and refined generalized multiscale reverse dispersion entropy. Firstly, based on the intrinsic properties of power quality disturbance (PQD) signals, the embedding dimension of symplectic geometric mode decomposition and the adaptive mode component screening method are improved, and the PQD signal undergoes tri-band decomposition via improved symplectic geometric mode decomposition (ISGMD), yielding distinct high-frequency, medium-frequency, and low-frequency components. Secondly, utilizing the enhanced symplectic geometric mode decomposition as a foundation, the perturbation features are extracted by the combination of refined generalized multiscale quantum entropy and refined generalized multiscale reverse dispersion entropy to construct high-precision and low-dimensional feature vectors. Finally, a double-layer composite power quality disturbance model is constructed by a deep extreme learning machine algorithm to identify power quality disturbance signals. After analysis and comparison, the proposed method is found to be effective even in a strong noise environment with a single interference, and the average recognition accuracy across different noise environments is 97.3%. Under the complex conditions involving multiple types of mixed perturbations, the average recognition accuracy is maintained above 96%. Compared with the existing CNN + LSTM method, the recognition accuracy of the proposed method is improved by 3.7%. In addition, its recognition accuracy in scenarios with small data samples is significantly better than that of traditional methods, such as single CNN models and LSTM models. The experimental results show that the proposed strategy can accurately classify and identify various power quality interferences and that it is better than traditional methods in terms of classification accuracy and robustness. The experimental results of the simulation and measured data show that the combined feature extraction methodology reliably extracts discriminative feature vectors from PQD. The double-layer combined classification model can further enhance the model\u2019s recognition capabilities. This method has high accuracy and certain noise resistance. In the 30 dB white noise environment, the average classification accuracy of the model is 99.10% for the simulation database containing 63 PQD types. Meanwhile, for the test data based on a hardware platform, the average accuracy is 99.03%, and the approach\u2019s dependability is further evidenced by rigorous validation experiments.<\/jats:p>","DOI":"10.3390\/e27090920","type":"journal-article","created":{"date-parts":[[2025,9,2]],"date-time":"2025-09-02T16:05:22Z","timestamp":1756829122000},"page":"920","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Entropy-Fused Enhanced Symplectic Geometric Mode Decomposition for Hybrid Power Quality Disturbance Recognition"],"prefix":"10.3390","volume":"27","author":[{"given":"Chencheng","family":"He","sequence":"first","affiliation":[{"name":"College of Science, Wuhan University of Science and Technology, Wuhan 430065, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2130-7672","authenticated-orcid":false,"given":"Wenbo","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Science, Wuhan University of Science and Technology, Wuhan 430065, China"}]},{"given":"Xuezhuang","family":"E","sequence":"additional","affiliation":[{"name":"College of Science, Wuhan University of Science and Technology, Wuhan 430065, China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-5544-5414","authenticated-orcid":false,"given":"Hao","family":"Yuan","sequence":"additional","affiliation":[{"name":"College of Science, Wuhan University of Science and Technology, Wuhan 430065, China"}]},{"given":"Yuyi","family":"Lu","sequence":"additional","affiliation":[{"name":"College of Science, Wuhan University of Science and Technology, Wuhan 430065, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,8,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Yu, D., Han, X., Wang, W., Zhang, H., Xiong, P., and Dai, K. 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