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Syst."],"published-print":{"date-parts":[[2024,4]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Methods for short-term voltage stability (STVS) assessment based on phasor measurement unit (PMU) data have become quite abundant. However, most of them are challenged to deal with the commonly encountered incomplete PMU data. Existing models for STVS assessment of incomplete PMU data mostly have the disadvantages of high computational complexity and large impact from the level of data missing. This paper proposes a multi-task learning method that performs stability assessment and missing data completion in parallel. The Transformer Encoder is used as the shared feature extractor, a GRU structure is used to output complete PMU data sequences, and a BP neural network is used to output stability assessment results. The loss function used for the missing completion task considers the accuracy in both the shape and time domains. A comparison with relevant models shows that the model proposed in this paper achieves the best performance in all indicators and is minimally affected by the observation windows and the level of data loss, demonstrating good robustness.<\/jats:p>","DOI":"10.1007\/s40747-023-01252-8","type":"journal-article","created":{"date-parts":[[2023,10,16]],"date-time":"2023-10-16T04:01:21Z","timestamp":1697428881000},"page":"1971-1983","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A novel multi-task learning method for evaluating short-term voltage stability with incomplete PMU measurements"],"prefix":"10.1007","volume":"10","author":[{"given":"Tonglin","family":"Luo","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7695-2011","authenticated-orcid":false,"given":"Xuchu","family":"Jiang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,10,16]]},"reference":[{"issue":"8","key":"1252_CR1","doi-asserted-by":"publisher","first-page":"121","DOI":"10.3390\/a11080121","volume":"11","author":"F Pan","year":"2018","unstructured":"Pan F, Li J, Tan B et al (2018) Stacked-GRU based power system transient stability assessment method. 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