{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T08:29:16Z","timestamp":1767860956577,"version":"3.49.0"},"reference-count":24,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2022,6,29]],"date-time":"2022-06-29T00:00:00Z","timestamp":1656460800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52177109"],"award-info":[{"award-number":["52177109"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51707135"],"award-info":[{"award-number":["51707135"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2020BAB109"],"award-info":[{"award-number":["2020BAB109"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2019CFB211"],"award-info":[{"award-number":["2019CFB211"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Hubei Province Key Research and Development Program Funded Projects","award":["52177109"],"award-info":[{"award-number":["52177109"]}]},{"name":"Hubei Province Key Research and Development Program Funded Projects","award":["51707135"],"award-info":[{"award-number":["51707135"]}]},{"name":"Hubei Province Key Research and Development Program Funded Projects","award":["2020BAB109"],"award-info":[{"award-number":["2020BAB109"]}]},{"name":"Hubei Province Key Research and Development Program Funded Projects","award":["2019CFB211"],"award-info":[{"award-number":["2019CFB211"]}]},{"name":"Natural Science Foundation of Hubei Province","award":["52177109"],"award-info":[{"award-number":["52177109"]}]},{"name":"Natural Science Foundation of Hubei Province","award":["51707135"],"award-info":[{"award-number":["51707135"]}]},{"name":"Natural Science Foundation of Hubei Province","award":["2020BAB109"],"award-info":[{"award-number":["2020BAB109"]}]},{"name":"Natural Science Foundation of Hubei Province","award":["2019CFB211"],"award-info":[{"award-number":["2019CFB211"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>With the construction of the smart grid, the distribution network with high penetration of the photovoltaic (PV) generator relies more and more on cyber systems to achieve active control; thus, the uncertainty of PV power and the line-switch state will inevitably affect the distribution network. To avoid the situation, a min\u2013max multi-objective two-level planning model is proposed. Firstly, the uncertainty of PV power is considered, and a multi-time PV power model is established. Followed by the analysis of the line-switch state uncertainty in the distribution network, and according to Claude Shannon\u2019s information theory, the line-switch state uncertainty model is established under multiple scenarios. After the distribution network reconfiguration, the Latin hypercube sampling (LHS) method is used to determine the line-switch state when the uncertainty budget is different. Finally, considering the worstcase by the uncertainty of PV power and line-switch status, the control model is proposed to improve the stability of the distribution network with the minimal maintenance cost. The model feasibility is verified by the test system and the characteristics of PV power uncertainty, the line-switch state uncertainty is analyzed, and the influence of the scheduling strategy is discussed, thus providing practical technical support for the distribution network.<\/jats:p>","DOI":"10.3390\/s22134927","type":"journal-article","created":{"date-parts":[[2022,6,29]],"date-time":"2022-06-29T22:43:28Z","timestamp":1656542608000},"page":"4927","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Multi-Objective Optimal Planning for Distribution Network Considering the Uncertainty of PV Power and Line-Switch State"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0120-3016","authenticated-orcid":false,"given":"Li","family":"Gong","sequence":"first","affiliation":[{"name":"Electronic Information School, Wuhan University, Wuhan 430072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7969-5882","authenticated-orcid":false,"given":"Xianpei","family":"Wang","sequence":"additional","affiliation":[{"name":"Electronic Information School, Wuhan University, Wuhan 430072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Meng","family":"Tian","sequence":"additional","affiliation":[{"name":"Electronic Information School, Wuhan University, Wuhan 430072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3684-4745","authenticated-orcid":false,"given":"Hongtai","family":"Yao","sequence":"additional","affiliation":[{"name":"Electronic Information School, Wuhan University, Wuhan 430072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiachuan","family":"Long","sequence":"additional","affiliation":[{"name":"School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2855","DOI":"10.1109\/TPWRS.2020.3045855","article-title":"Topology Tracking for Active Distribution Networks","volume":"36","author":"Dutta","year":"2021","journal-title":"IEEE Trans. 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