{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T15:53:44Z","timestamp":1778860424616,"version":"3.51.4"},"reference-count":45,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"2","license":[{"start":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T00:00:00Z","timestamp":1654041600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T00:00:00Z","timestamp":1654041600000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T00:00:00Z","timestamp":1654041600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T00:00:00Z","timestamp":1654041600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100007000","name":"Laboratory Directed Research and Development","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100007000","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006233","name":"National Renewable Energy Laboratory","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006233","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006134","name":"Office of Energy Efficiency and Renewable Energy","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006134","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100011883","name":"Solar Energy Technologies Office","doi-asserted-by":"publisher","award":["34230"],"award-info":[{"award-number":["34230"]}],"id":[{"id":"10.13039\/100011883","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Control Netw. Syst."],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1109\/tcns.2021.3124932","type":"journal-article","created":{"date-parts":[[2021,11,4]],"date-time":"2021-11-04T19:26:29Z","timestamp":1636053989000},"page":"904-916","source":"Crossref","is-referenced-by-count":10,"title":["Optimal Power Flow in DC Networks With Robust Feasibility and Stability Guarantees"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4157-5129","authenticated-orcid":false,"given":"Jianzhe","family":"Liu","sequence":"first","affiliation":[{"name":"Energy Systems Division, Argonne National Laboratory, Lemont, IL, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3137-0114","authenticated-orcid":false,"given":"Bai","family":"Cui","sequence":"additional","affiliation":[{"name":"Power Systems Engineering Center, National Renewable Energy Laboratory, Golden, CO, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0583-5376","authenticated-orcid":false,"given":"Daniel K.","family":"Molzahn","sequence":"additional","affiliation":[{"name":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5705-1181","authenticated-orcid":false,"given":"Chen","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaonan","family":"Lu","sequence":"additional","affiliation":[{"name":"College of Engineering, Temple University, Philadelphia, PA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2819-2764","authenticated-orcid":false,"given":"Feng","family":"Qiu","sequence":"additional","affiliation":[{"name":"Energy Systems Division, Argonne National Laboratory, Lemont, IL, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2018.2821924"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2015.2478859"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2849065"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2015.2407363"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1561\/3100000012"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ECCE.2015.7310136"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2014.2313514"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2018.2801280"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2018.2820430"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/COMPEL.2016.7556704"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2016.2561301"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2009.2021235"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2018.07.003"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2697765"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2018.2849581"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.23919\/PSCC.2018.8442889"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms10790"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2018.2801286"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2015.2497559"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2015.2457909"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2017.2687080"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2016.7798761"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0439-8_1"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/9.728889"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1287\/opre.43.2.264"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1515\/9781400831050"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2003.818872"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2279268"},{"key":"ref29","article-title":"Robust optimization for models with uncertain SOC and SDP constraints","author":"Zhen","year":"2017"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2012.2190531"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2017.2720471"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2015.2406871"},{"key":"ref33","volume-title":"Nonlinear Systems","author":"Khalil","year":"2002"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2018.2849974"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1115\/1.3426427"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/9.29425"},{"key":"ref37","first-page":"1","article-title":"History of optimal power flow and formulations (OPF paper 1)","volume":"1","author":"Cain"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2743348"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1287\/ijoc.2020.0956"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2019.2930896"},{"key":"ref42","article-title":"DC power grids with constant-power loadsPart I: A full characterization of power flow feasibility, long-term voltage stability and their correspondence","author":"Jeeninga","year":"2020"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2017.2717578"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2015.2433537"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0559-y"}],"container-title":["IEEE Transactions on Control of Network Systems"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/6509490\/9800706\/9601218-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6509490\/9800706\/09601218.pdf?arnumber=9601218","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,11]],"date-time":"2024-01-11T23:54:39Z","timestamp":1705017279000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9601218\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6]]},"references-count":45,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1109\/tcns.2021.3124932","relation":{},"ISSN":["2325-5870","2372-2533"],"issn-type":[{"value":"2325-5870","type":"electronic"},{"value":"2372-2533","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6]]}}}