{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,4]],"date-time":"2026-03-04T17:43:26Z","timestamp":1772646206588,"version":"3.50.1"},"reference-count":39,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"5","license":[{"start":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T00:00:00Z","timestamp":1525132800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T00:00:00Z","timestamp":1525132800000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T00:00:00Z","timestamp":1525132800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T00:00:00Z","timestamp":1525132800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100006133","name":"ARPA-E, U.S. Department of Energy","doi-asserted-by":"publisher","award":["DE-AC02-06CH11357"],"award-info":[{"award-number":["DE-AC02-06CH11357"]}],"id":[{"id":"10.13039\/100006133","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Circuits Syst. II"],"published-print":{"date-parts":[[2018,5]]},"DOI":"10.1109\/tcsii.2018.2823712","type":"journal-article","created":{"date-parts":[[2018,4,6]],"date-time":"2018-04-06T18:53:27Z","timestamp":1523040807000},"page":"672-676","source":"Crossref","is-referenced-by-count":15,"title":["Identifying and Characterizing Non-Convexities in Feasible Spaces of Optimal Power Flow Problems"],"prefix":"10.1109","volume":"65","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0583-5376","authenticated-orcid":false,"given":"Daniel K.","family":"Molzahn","sequence":"first","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/Allerton.2011.6120344"},{"key":"ref38","article-title":"NESTA, the NICTA energy system test case archive, v0.6","author":"coffrin","year":"2016","journal-title":"arXiv 1411 0359"},{"key":"ref33","doi-asserted-by":"crossref","DOI":"10.23919\/PSCC.2018.8442948","article-title":"PowerModels.jl: An open-source framework for exploring power flow formulations","author":"coffrin","year":"2018","journal-title":"Proc 20th Power Syst Comput Conf (PSCC)"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/141000671"},{"key":"ref31","doi-asserted-by":"crossref","DOI":"10.1007\/s12532-018-0150-9","article-title":"Matrix minor reformulation and SOCP-based spatial branch-and-cut method for the AC optimal power flow problem","author":"kocuk","year":"2018","journal-title":"Math Program Comput"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1287\/opre.2016.1489"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2010.2051168"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/CACSD.2004.1393890"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0559-y"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1137\/15M1020575"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2008.919307"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2014.2322051"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2014.2309732"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2282086"},{"key":"ref14","first-page":"1","article-title":"Equilibria analysis of power systems using a numerical homotopy method","author":"chandra","year":"2015","journal-title":"Proc IEEE PES Gen Meeting"},{"key":"ref15","article-title":"Construction of power flow feasibility sets","author":"dvijotham","year":"2015","journal-title":"arXiv 1506 07191"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/HICSS.2014.293"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2016.2529281"},{"key":"ref18","first-page":"221","article-title":"Convexity\/nonconvexity certificates for power flow analysis","author":"polyak","year":"2017","journal-title":"Proc 1st Int Symp Energy Syst Optim Adv Energy Syst Optim"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2682058"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2016.2634586"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2015.2407363"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2015.2463111"},{"key":"ref3","article-title":"Strong NP-hardness of AC power flows feasibility","author":"bienstock","year":"2015","journal-title":"arXiv 1512 07315"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/PSCC.2014.7038504"},{"key":"ref29","author":"bestuzheva","year":"2016","journal-title":"Convex Relaxations for Quadratic On\/Off Constraints and Applications to Optimal Transmission Switching"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/59.744492"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/59.932273"},{"key":"ref7","article-title":"A survey of relaxations and approximations of the power flow equations","author":"molzahn","year":"2018","journal-title":"Found Trends Electr Energy Syst"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2274577"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/MPER.2002.4312044"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2005.857268"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2692268"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2016.7525170"},{"key":"ref21","article-title":"Empirical investigation of non-convexities in optimal power flow problems","author":"narimani","year":"2018","journal-title":"Proc Amer Control Conf (ACC)"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2258044"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2011.2160974"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/15M1034386"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2014.2372478"}],"container-title":["IEEE Transactions on Circuits and Systems II: Express Briefs"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielaam\/8920\/8352911\/8332512-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8920\/8352911\/08332512.pdf?arnumber=8332512","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T18:51:40Z","timestamp":1649443900000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8332512\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5]]},"references-count":39,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.1109\/tcsii.2018.2823712","relation":{},"ISSN":["1549-7747","1558-3791"],"issn-type":[{"value":"1549-7747","type":"print"},{"value":"1558-3791","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5]]}}}