{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T08:40:40Z","timestamp":1759740040489,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2025,10,4]],"date-time":"2025-10-04T00:00:00Z","timestamp":1759536000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Yunnan Province joint fund key project","award":["202201BE070001-15"],"award-info":[{"award-number":["202201BE070001-15"]}]}],"content-domain":{"domain":["www.mdpi.com"],"crossmark-restriction":true},"short-container-title":["Symmetry"],"abstract":"<jats:p>The rapid integration of renewable energy sources into modern power systems has exacerbated power quality challenges, particularly broadband oscillation phenomena that threaten grid symmetry and stability. The proposed symplectic geometric mode decomposition (SGMD) method advances the field; however, issues like mode aliasing and over-decomposition are unresolved within the symplectic geometric paradigm. To resolve these limitations in existing methods, this paper proposes a novel time-frequency-coupled symmetry mode decomposition technique. The approach first applies symplectic symmetry geometric mode in the time domain, then iteratively refines the modes using frequency-domain Local Outlier Factor (LOF) detection to suppress aliasing. Final mode integration employs Dynamic Time Warping (DTW) for optimal alignment, enabling accurate extraction of oscillation characteristics. Comparative evaluations demonstrate that the average error of the amplitude and frequency identification of the proposed method are 1.39% and 0.029%, which are lower than the results of SVD at 5.09% and 0.043%.<\/jats:p>","DOI":"10.3390\/sym17101650","type":"journal-article","created":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T08:10:51Z","timestamp":1759738251000},"page":"1650","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Research on Broadband Oscillation Mode Identification Based on Improved Symplectic Geometry Algorithm"],"prefix":"10.3390","volume":"17","author":[{"given":"Zhan","family":"Gan","sequence":"first","affiliation":[{"name":"Qujing Bureau of Yunnan Province Ultra-High Voltage Transmission Company, Qujing 655000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rui","family":"Zhang","sequence":"additional","affiliation":[{"name":"Qujing Bureau of Yunnan Province Ultra-High Voltage Transmission Company, Qujing 655000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hanlin","family":"Ding","sequence":"additional","affiliation":[{"name":"Qujing Bureau of Yunnan Province Ultra-High Voltage Transmission Company, Qujing 655000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinsong","family":"Li","sequence":"additional","affiliation":[{"name":"Qujing Bureau of Yunnan Province Ultra-High Voltage Transmission Company, Qujing 655000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Li","sequence":"additional","affiliation":[{"name":"Qujing Bureau of Yunnan Province Ultra-High Voltage Transmission Company, Qujing 655000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lingrui","family":"Yang","sequence":"additional","affiliation":[{"name":"Faculty of Power Engineering, Southwest Jiaotong University, Chengdu 610000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheng","family":"Guo","sequence":"additional","affiliation":[{"name":"Faculty of Power Engineering, Kunming University of Science and Technology, Kunming 650500, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,10,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4632","DOI":"10.1109\/TPWRS.2021.3066991","article-title":"Frequency-Constrained Stochastic Planning Towards a High Renewable Target Considering Frequency Response Support From Wind Power","volume":"36","author":"Li","year":"2021","journal-title":"IEEE Trans. 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