{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,17]],"date-time":"2026-06-17T03:35:57Z","timestamp":1781667357940,"version":"3.54.5"},"reference-count":18,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T00:00:00Z","timestamp":1729468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and Technology Project of East China Branch of State Grid","award":["SGHD0000DKJS2310440"],"award-info":[{"award-number":["SGHD0000DKJS2310440"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>With the continuous increase in the penetration rate of renewable energy, the randomness and flexibility demand in the power system continues to increase. The main grid side of the power system vigorously develops pumped hydro storage (PHS) resources. However, the current PHS station scheduling method of a fixed time period and fixed power has lost a certain flexibility supply. In this paper, an optimal dispatching model of multi-pumped hydro storage stations is proposed to supply flexibility for different regions of the state grid in east China. Firstly, the credible predictable power (CPP) of renewable energy is calculated and the definition of flexibility demand of a power system is given. The calculation model for flexibility demand is established. Secondly, considering the regional allocation constraint in the state grid in east China, a non-centralized model of multi-PHS within the dispatch scope is established. In the model, the constraints of storage capacity of different hydropower conversion coefficients of each PHS station is considered. The flexibility supply model of PHS stations to each region of the state grid in east China is established to realize reasonable flexibility allocation. Then, by combining the PHS station models and the flexibility demand calculation model, the optimal dispatching model for the flexibility supply of multi-PHS stations is established. Finally, based on the network dispatching example, the effectiveness and superiority of the proposed strategy are verified by a case study.<\/jats:p>","DOI":"10.3390\/sym16101404","type":"journal-article","created":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T09:58:24Z","timestamp":1729504704000},"page":"1404","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Optimal Flexibility Dispatching of Multi-Pumped Hydro Storage Stations Considering the Uncertainty of Renewable Energy"],"prefix":"10.3390","volume":"16","author":[{"given":"Xinyi","family":"Chen","sequence":"first","affiliation":[{"name":"State Grid East China Branch, Shanghai 200120, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pan","family":"Wu","sequence":"additional","affiliation":[{"name":"State Grid East China Branch, Shanghai 200120, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hongyu","family":"He","sequence":"additional","affiliation":[{"name":"State Grid East China Branch, Shanghai 200120, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bingbing","family":"Song","sequence":"additional","affiliation":[{"name":"State Grid East China Branch, Shanghai 200120, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kangping","family":"Qin","sequence":"additional","affiliation":[{"name":"State Grid East China Branch, Shanghai 200120, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaobi","family":"Teng","sequence":"additional","affiliation":[{"name":"State Grid East China Branch, Shanghai 200120, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fan","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Electric Power Engineering, Shanghai University of Electric Power, Shanghai 200090, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dongdong","family":"Li","sequence":"additional","affiliation":[{"name":"College of Electric Power Engineering, Shanghai University of Electric Power, Shanghai 200090, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,21]]},"reference":[{"key":"ref_1","first-page":"22","article-title":"A modeling method for a wind and photovoltaic joint power probability model","volume":"48","author":"Wang","year":"2020","journal-title":"Power Syst. 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