{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:55:49Z","timestamp":1760234149538,"version":"build-2065373602"},"reference-count":36,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T00:00:00Z","timestamp":1761955200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T00:00:00Z","timestamp":1761955200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T00:00:00Z","timestamp":1761955200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"National Key Research and Development Program of China","award":["2023YFB2407400"],"award-info":[{"award-number":["2023YFB2407400"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Ind. Electron."],"published-print":{"date-parts":[[2025,11]]},"DOI":"10.1109\/tie.2025.3559966","type":"journal-article","created":{"date-parts":[[2025,4,28]],"date-time":"2025-04-28T13:33:41Z","timestamp":1745847221000},"page":"10916-10926","source":"Crossref","is-referenced-by-count":1,"title":["An Analytical Closed-Loop Steady-State Model for Modular Multilevel Converters"],"prefix":"10.1109","volume":"72","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-5248-5140","authenticated-orcid":false,"given":"Zhixiang","family":"Li","sequence":"first","affiliation":[{"name":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0156-5719","authenticated-orcid":false,"given":"Yunqing","family":"Pei","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0373-1864","authenticated-orcid":false,"given":"Lu","family":"Chen","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9938-5590","authenticated-orcid":false,"given":"Laili","family":"Wang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7023-6647","authenticated-orcid":false,"given":"Wei","family":"Cao","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an, China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-4155-9200","authenticated-orcid":false,"given":"Zesong","family":"Leng","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an, China"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/OJIES.2021.3060791"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2019.04.062"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2024.3429617"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/tie.2024.3493159"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/JESTPE.2022.3142052"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2024.3360000"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2023.3307895"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2024.3515472"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/JESTPE.2024.3379206"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2022.3199117"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/ICPES53652.2021.9683931"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2020.3020973"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/ICPRE52634.2021.9635543"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/ACPEE60788.2024.10532522"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2019.2935808"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2011.2159809"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2012.2227818"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1049\/iet-pel.2014.0892"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1049\/hve2.12100"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2016.2636211"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2023.3241335"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.35833\/MPCE.2022.000006"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2019.2900070"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/IPEMC-ECCEAsia60879.2024.10567168"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.24295\/CPSSTPEA.2023.00020"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2020.2974585"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIA.2021.3104788"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2020.2969103"},{"key":"ref29","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718898","volume-title":"Solving Nonlinear Equations with Newton\u2019s Method (Fundamentals of Algorithms).","author":"Kelley","year":"2003"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2024.3483928"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/ECCE50734.2022.9947709"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/JESTPE.2024.3456848"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2022.3217643"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/ISESC63657.2024.10785367"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2022.3192485"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2024.3372611"}],"container-title":["IEEE Transactions on Industrial Electronics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/41\/11199974\/10979363.pdf?arnumber=10979363","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:47:53Z","timestamp":1760161673000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10979363\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11]]},"references-count":36,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tie.2025.3559966","relation":{},"ISSN":["0278-0046","1557-9948"],"issn-type":[{"type":"print","value":"0278-0046"},{"type":"electronic","value":"1557-9948"}],"subject":[],"published":{"date-parts":[[2025,11]]}}}