{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T12:37:24Z","timestamp":1774528644943,"version":"3.50.1"},"reference-count":40,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T00:00:00Z","timestamp":1593561600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T00:00:00Z","timestamp":1593561600000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T00:00:00Z","timestamp":1593561600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T00:00:00Z","timestamp":1593561600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100000001","name":"U.S. National Science Foundation","doi-asserted-by":"publisher","award":["CNS-1915756"],"award-info":[{"award-number":["CNS-1915756"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"U.S. National Science Foundation","doi-asserted-by":"publisher","award":["CMMI-1906780"],"award-info":[{"award-number":["CMMI-1906780"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the China Central Universities","doi-asserted-by":"publisher","award":["YJ201859"],"award-info":[{"award-number":["YJ201859"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Smart Grid"],"published-print":{"date-parts":[[2020,7]]},"DOI":"10.1109\/tsg.2020.2968178","type":"journal-article","created":{"date-parts":[[2020,1,21]],"date-time":"2020-01-21T21:17:33Z","timestamp":1579641453000},"page":"3558-3569","source":"Crossref","is-referenced-by-count":19,"title":["Vulnerability Identification and Evaluation of Interdependent Natural Gas-Electricity Systems"],"prefix":"10.1109","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1707-7859","authenticated-orcid":false,"given":"Lu","family":"Nan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0722-5769","authenticated-orcid":false,"given":"Lei","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianqi","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yikui","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuan","family":"He","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2287993"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580665"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2016.05.060"},{"key":"ref32","first-page":"138","article-title":"Natural gas and electricity optimal power flow","volume":"1","author":"an","year":"2003","journal-title":"Proc IEEE PES Transm Distrib Conf Expo"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2251916"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2655078"},{"key":"ref37","first-page":"287","article-title":"Using piecewise linear functions for solving MINLPs","author":"gei","year":"2012","journal-title":"Mixed Integer Nonlinear Programming"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1201\/9781420038224"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/S0895-7177(99)00232-0"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2016.08.146"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2859346"},{"key":"ref40","year":"2019","journal-title":"Data for the Test System"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2019.03.014"},{"key":"ref12","first-page":"1","article-title":"Geodesic vulnerability index for contingency analysis in electric infrastructures","author":"correa","year":"2013","journal-title":"Proc VII Symp Power Qual (SICEL)"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.045104"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2018.5799"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1063\/1.3489887"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2014.03.052"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2759782"},{"key":"ref18","first-page":"61","article-title":"Vulnerability assessment of a large sized power system using a new index based on power system loss","volume":"17","author":"haidar","year":"2007","journal-title":"Eur J Sci Res"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2018.09.014"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2254503"},{"key":"ref4","year":"2019","journal-title":"Natural Gas Monthly"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1981.316635"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.simpat.2009.02.001"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2727859"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2019.2938553"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TSTE.2016.2615104"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.energy.2018.04.165"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1063\/1.3600761"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2017.03.028"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2013.06.040"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ssci.2012.08.013"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2017.06.033"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.23919\/PSCC.2018.8442682"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2759198"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2015.2478888"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2016.2561303"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2011.09.017"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2019.01.125"}],"container-title":["IEEE Transactions on Smart Grid"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/5165411\/9120396\/8964308-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/5165411\/9120396\/08964308.pdf?arnumber=8964308","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,27]],"date-time":"2022-04-27T17:14:41Z","timestamp":1651079681000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8964308\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7]]},"references-count":40,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tsg.2020.2968178","relation":{},"ISSN":["1949-3053","1949-3061"],"issn-type":[{"value":"1949-3053","type":"print"},{"value":"1949-3061","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7]]}}}