{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T18:32:54Z","timestamp":1770748374470,"version":"3.49.0"},"reference-count":65,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"DOI":"10.13039\/501100002383","name":"Researchers Supporting Project through King Saud University, Riyadh, Saudi Arabia","doi-asserted-by":"publisher","award":["RSP-2021\/258"],"award-info":[{"award-number":["RSP-2021\/258"]}],"id":[{"id":"10.13039\/501100002383","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/access.2021.3114969","type":"journal-article","created":{"date-parts":[[2021,9,22]],"date-time":"2021-09-22T20:03:29Z","timestamp":1632341009000},"page":"132255-132266","source":"Crossref","is-referenced-by-count":5,"title":["Mann-Iteration Process for Power Flow Calculation of Large-Scale Ill-Conditioned Systems: Theoretical Analysis and Numerical Results"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7076-1065","authenticated-orcid":false,"given":"Marcos","family":"Tostado-Veliz","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6595-6423","authenticated-orcid":false,"given":"Hany M.","family":"Hasanien","sequence":"additional","affiliation":[]},{"given":"Rania A.","family":"Turky","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5924-534X","authenticated-orcid":false,"given":"Abdulaziz","family":"Alkuhayli","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9505-5386","authenticated-orcid":false,"given":"Salah","family":"Kamel","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8122-7415","authenticated-orcid":false,"given":"Francisco","family":"Jurado","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2019.03.035"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2015.1546"},{"key":"ref33","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijepes.2020.106389","article-title":"An improved version of the continuous Newton’s method for efficiently solving the power-flow in ill-conditioned systems","volume":"124","author":"tostado-v\u00e9liz","year":"2021","journal-title":"Int J Electr Power Energy Syst"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2019.06.006"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2019.05.032"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2017.06.032"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2013.12.014"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2922173"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2925384"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2014.03.004"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2010.2051168"},{"key":"ref62","article-title":"AC power flow data in MATPOWER and QCQP format: ITesla, RTE snapshots, and PEGASE","author":"josz","year":"2016","journal-title":"arXiv 1603 01533"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2251015"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2013.2265298"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2019.2900513"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2018.6786"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1002\/etep.2784"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2019.105500"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2015.2415455"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2008.2004820"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-13669-6"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TIA.2016.2582827"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1971.292992"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1974.293985"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2005.857388"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1981.316511"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/T-PAS.1977.32323"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1002\/etep.1786"},{"key":"ref50","first-page":"123","article-title":"Two remarks on the method of successive approximations","volume":"10","author":"krasnosel\u2019skii","year":"1955","journal-title":"Uspekhi Matematicheskikh Nauk"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1953-0054846-3"},{"key":"ref59","year":"2021","journal-title":"Matpower—Free Open-Source Tools for Electric Power System Simulation and Optimization"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2016.2616385"},{"key":"ref57","first-page":"906","article-title":"On a new method of numerical solution of systems of nonlinear equations","volume":"14","author":"davidenko","year":"1953","journal-title":"Math Rev"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TCNS.2017.2673540"},{"key":"ref55","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1109\/81.903187","article-title":"Convergent regions of the Newton homotopy method for nonlinear systems: Theory and computational applications","volume":"48","author":"lee","year":"2001","journal-title":"IEEE Trans Circuits Syst I Fundam Theory Appl"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2016.2523917"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.04.059"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.3390\/sym13050884"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1967.6011"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2014.2343193"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2015.2512723"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2016.2618889"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2014.2368572"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2016.2638923"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.2970205"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2015.0998"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/JSYST.2020.2980156"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2008.919423"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2012.2222940"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2019.2914431"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1967.291823"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2021.107425"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2012.0350"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.3390\/en14144108"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2016.0064"},{"key":"ref49","author":"berinde","year":"2007","journal-title":"Iterative Approximation of Fixed Points"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2019.105881"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2015.0679"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/JSYST.2020.3004667"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/TPAS.1970.292681"},{"key":"ref47","first-page":"74","article-title":"Some convergence theorems of the Mann iteration for monotone $\\alpha$\n-nonexpansive mappings","volume":"287","author":"song","year":"2016","journal-title":"Appl Math Comput"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1201\/9781420006162"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2019.05.055"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2019.02.002"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2017.2703835"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/9312710\/09546776.pdf?arnumber=9546776","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,17]],"date-time":"2021-12-17T19:55:42Z","timestamp":1639770942000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9546776\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":65,"URL":"https:\/\/doi.org\/10.1109\/access.2021.3114969","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}