{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T01:51:30Z","timestamp":1787277090706,"version":"build-2736575974"},"reference-count":90,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,7]]},"DOI":"10.1109\/acc.2016.7525170","type":"proceedings-article","created":{"date-parts":[[2016,8,5]],"date-time":"2016-08-05T17:52:25Z","timestamp":1470419545000},"page":"1753-1765","source":"Crossref","is-referenced-by-count":46,"title":["Recent advances in computational methods for the power flow equations"],"prefix":"10.1109","author":[{"given":"Dhagash","family":"Mehta","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniel K.","family":"Molzahn","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Konstantin","family":"Turitsyn","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref73","article-title":"The QC Relaxation: Theoretical and Computational Results on Optimal Power Flow","author":"coffrin","year":"0","journal-title":"IEEE Trans Power Syst"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2294479"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2013.2248175"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2014.2309732"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2012.2214490"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2014.2347281"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/59.260891"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1287\/opre.2016.1489"},{"key":"ref38","article-title":"Solving for the Low-Voltage\/Large-Angle Power-Flow Solutions by using the Holomorphic Embedding Method","author":"feng","year":"2015"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2012.2228507"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2014.2331033"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2014.2320819"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2015.2500729"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/PESGM.2014.6938797"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1972.293463"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/PSCC.2014.7038397"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2005.852069"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/Allerton.2011.6120344"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/PESS.2000.867653"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/59.485988"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719154"},{"key":"ref62","first-page":"266","article-title":"A Newton Polyhedron and the Number of Solutions of a System of k Equations in k Unknowns","volume":"30","author":"kushnirenko","year":"1975","journal-title":"Usp Math Nauk"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1007\/BF01075595"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1007\/BF01077562"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/59.116988"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1990.203876"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1987.1086115"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2181-2"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2274577"},{"key":"ref66","article-title":"Exploiting Chordal Structure in Polynomial Ideals: A Gröbner Bases Approach","author":"cifuentes","year":"2014","journal-title":"arXiv 1411 1745"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2011.2160974"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2011.2170772"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2258044"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1974.293985"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1967.291823"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1982.1085093"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/0142-0615(91)90050-6"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/0724032"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/T-PAS.1975.31937"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/81.317957"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(85)90095-0"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1983.318052"},{"key":"ref50","article-title":"On the Network Topology Dependent Solution Count of the Algebraic Load Flow Equations","author":"chen","year":"2015","journal-title":"arXiv 1512 04987"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-0895-7_4"},{"key":"ref90","author":"boyd","year":"2009","journal-title":"Convex optimization"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1137\/10081530X"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.77.137"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1142\/5763"},{"key":"ref56","first-page":"209","article-title":"Solving Polynomial Systems by the Homotopy Continuation Method","volume":"xi","author":"li","year":"2003","journal-title":"Handbook of Numerical Analysis"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-27357-3_8"},{"key":"ref54","article-title":"Power System Analysis and Design","author":"glover","year":"2011"},{"key":"ref53","article-title":"Moments, Positive Polynomials and Their Applications","volume":"1","author":"lasserre","year":"2010"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.1999.777519"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7402082"},{"key":"ref40","article-title":"Cascaded Stalling of Induction Motors in Fault-Induced Delayed Voltage Recovery (FIDVR)","author":"chen","year":"2011","journal-title":"Univ Wisconsin-Madison ECE Depart"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7402079"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2012.2233765"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/IREP.2013.6629370"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/HICSS.2016.289"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.1992.230611"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7402083"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/PESMG.2013.6672260"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2014.2372478"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7402502"},{"key":"ref84","doi-asserted-by":"publisher","DOI":"10.1109\/PTC.2015.7232429"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1972.293469"},{"key":"ref83","article-title":"Moment\/Sums-of-Squares Hierarchy for Complex Polynomial Optimization","author":"josz","year":"2015","journal-title":"Preprint arXiv 1508 02068"},{"key":"ref19","article-title":"The Non-Uniqueness of Load Flow Solution","author":"klos","year":"1975","journal-title":"5th Power Syst Comput Conf (PSCC)"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2015.2390037"},{"key":"ref89","doi-asserted-by":"publisher","DOI":"10.1109\/PSCC.2016.7540831"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1989.70472"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/AIEEPAS.1957.4499665"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1981.316511"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1990.203339"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-015-0868-5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/PESGM.2012.6344759"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2016.7526599"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2016.2529281"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/PTC.2015.7232632"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1137\/050623802"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(84)90207-6"},{"key":"ref9","article-title":"Convexity of Energy-Like Functions: Theoretical Results and Applications to Power System Operations","author":"dvijotham","year":"0","journal-title":"arXiv 1501 04052 2015"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/PESGM.2015.7285823"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2015.7172011"},{"key":"ref48","article-title":"Power Flow as an Algebraic System","author":"marecek","year":"2014","journal-title":"arXiv 1412 8054"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1063\/1.4919696"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2004.842883"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2012.2202205"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2015.1546"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2015.7447029"}],"event":{"name":"2016 American Control Conference (ACC)","location":"Boston, MA, USA","start":{"date-parts":[[2016,7,6]]},"end":{"date-parts":[[2016,7,8]]}},"container-title":["2016 American Control Conference (ACC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7518121\/7524873\/07525170.pdf?arnumber=7525170","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,9,30]],"date-time":"2016-09-30T01:34:24Z","timestamp":1475199264000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7525170\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7]]},"references-count":90,"URL":"https:\/\/doi.org\/10.1109\/acc.2016.7525170","relation":{},"subject":[],"published":{"date-parts":[[2016,7]]}}}