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The aggregation of typical operation periods has become a popular method to reduce effort. These operation periods are modelled independently and cannot interact in most cases. Consequently, seasonal storage is not reproducible. This inability can lead to a significant error, especially for energy systems with a high share of fluctuating renewable energy. The previous paper, \u201cTime series aggregation for energy system design: Modeling seasonal storage\u201d, has developed a seasonal storage model to address this issue. Simultaneously, the paper \u201cOptimal design of multi-energy systems with seasonal storage\u201d has developed a different approach. This paper aims to review these models and extend the first model. The extension is a mathematical reformulation to decrease the number of variables and constraints. Furthermore, it aims to reduce the calculation time while achieving the same results.<\/jats:p>","DOI":"10.1186\/s42162-022-00208-5","type":"journal-article","created":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T14:03:07Z","timestamp":1662645787000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Time series aggregation for energy system design: review and extension of modelling seasonal storages"],"prefix":"10.1186","volume":"5","author":[{"given":"Tobias","family":"Blanke","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Katharina S.","family":"Schmidt","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joachim","family":"G\u00f6ttsche","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bernd","family":"D\u00f6ring","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J\u00e9r\u00f4me","family":"Frisch","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christoph","family":"van Treeck","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,9,7]]},"reference":[{"key":"208_CR1","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1016\/j.egypro.2015.12.351","volume":"87","author":"H Abgottspon","year":"2016","unstructured":"Abgottspon H, Andersson G (2016) Multi-horizon modeling in hydro power planning. 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