{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,23]],"date-time":"2025-12-23T10:03:21Z","timestamp":1766484201242,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2021,8,9]],"date-time":"2021-08-09T00:00:00Z","timestamp":1628467200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51777035"],"award-info":[{"award-number":["51777035"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The variable background harmonic data and incomplete phasor information make multi-harmonic source responsibility division in three-phase symmetrical power system a significant challenge. In this paper, a background harmonic data selection method based on canonical correlation analysis is proposed to deal with multi-harmonic source responsibility division without phasor information. Firstly, the canonical correlation coefficient between harmonic voltage and harmonic current is used to characterize the fluctuations of background harmonic voltage. Then, the sliding window method is adopted to select the harmonic voltage and harmonic current with small fluctuations. Next, the canonical correlation results for selected data are used to calculate the harmonic responsibility index via the linear regression method. The harmonic responsibility index in the form of percentage represents the harmonic responsibility division. Finally, several experimental results demonstrate that the proposed method has a high accuracy in calculating the harmonic responsibility division, particularly when the user side contains fluctuations of unknown harmonic sources.<\/jats:p>","DOI":"10.3390\/sym13081451","type":"journal-article","created":{"date-parts":[[2021,8,9]],"date-time":"2021-08-09T09:03:53Z","timestamp":1628499833000},"page":"1451","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Method for Responsibility Division of Multi-Harmonic Sources Based on Canonical Correlation Analysis"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6834-3390","authenticated-orcid":false,"given":"Yi","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350100, China"}]},{"given":"Youran","family":"Wang","sequence":"additional","affiliation":[{"name":"Fuzhou Power Supply Company of State Grid Fujian Electric Power Co., Ltd., Fuzhou 350000, China"}]},{"given":"Junyu","family":"Guo","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350100, China"}]},{"given":"Zhenguo","family":"Shao","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350100, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"374","DOI":"10.1049\/iet-gtd.2012.0361","article-title":"Method for separation of customer and utility contributions of harmonics at point of common coupling","volume":"7","author":"Fernandez","year":"2013","journal-title":"IET Gener. 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