{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,8]],"date-time":"2026-03-08T23:15:31Z","timestamp":1773011731324,"version":"3.50.1"},"reference-count":22,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T00:00:00Z","timestamp":1750896000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T00:00:00Z","timestamp":1750896000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62203397"],"award-info":[{"award-number":["62203397"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Circuit Theory &amp;amp; Apps"],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>This study presents a novel method for the effective allocation of reactive power in an islanded alternative current (AC) microgrid, especially under conditions where line impedance differs. The paper introduces a finite iteration consensus algorithm and an adaptive virtual impedance control algorithm, along with detailed derivation and proof processes for these algorithms. The finite iteration consensus algorithm is utilized to detect discrepancies in reactive power among different distributed generation (DG) units. Once these discrepancies are detected, they are processed through a proportional\u2013integral (PI) controller to generate correction values for the virtual impedance. By adjusting the virtual impedance of the DG units, this approach achieves precise distribution of reactive power across all DG units. A significant characteristic of this control strategy is that it does not require a central controller or prior knowledge of specific line impedance values. Additionally, the paper proposes a mean voltage recovery method based on the finite iteration consensus algorithm to compensate for system voltage drops. Simulation results indicate that the proposed methods are effective for both reactive power sharing and voltage recovery.<\/jats:p>","DOI":"10.1002\/cta.70044","type":"journal-article","created":{"date-parts":[[2025,6,27]],"date-time":"2025-06-27T02:30:25Z","timestamp":1750991425000},"page":"1422-1433","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Distributed Virtual Impedance Control Based on Finite Iteration Consensus for Reactive Power Sharing in Microgrids"],"prefix":"10.1002","volume":"54","author":[{"given":"Yan","family":"Liu","sequence":"first","affiliation":[{"name":"School of Electrical and Information Engineering, Robot Perception and Control Engineering Research Center in Henan Province Zhengzhou University  Zhengzhou China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6799-1310","authenticated-orcid":false,"given":"Fangyuan","family":"Li","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Robot Perception and Control Engineering Research Center in Henan Province Zhengzhou University  Zhengzhou China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanhong","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Robot Perception and Control Engineering Research Center in Henan Province Zhengzhou University  Zhengzhou China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,6,26]]},"reference":[{"key":"e_1_2_10_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2010.2053726"},{"key":"e_1_2_10_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-19-8594-2"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSTE.2023.3254149"},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/OJIES.2022.3202431"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2021.3102994"},{"key":"e_1_2_10_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSTE.2022.3143664"},{"key":"e_1_2_10_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4197"},{"key":"e_1_2_10_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2021.3121474"},{"key":"e_1_2_10_10_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIA.2021.3064528"},{"key":"e_1_2_10_11_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2012.2205944"},{"key":"e_1_2_10_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.2022.3208452"},{"key":"e_1_2_10_13_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.2020.2989855"},{"key":"e_1_2_10_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2022.108059"},{"key":"e_1_2_10_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2021.107251"},{"key":"e_1_2_10_16_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSG.2021.3050931"},{"key":"e_1_2_10_17_1","doi-asserted-by":"publisher","DOI":"10.3390\/electronics10111344"},{"key":"e_1_2_10_18_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10462-021-10097-x"},{"key":"e_1_2_10_19_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-98377-2"},{"key":"e_1_2_10_20_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2022.3167141"},{"key":"e_1_2_10_21_1","doi-asserted-by":"publisher","DOI":"10.1109\/JSYST.2020.2967374"},{"key":"e_1_2_10_22_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2018.2889989"},{"key":"e_1_2_10_23_1","doi-asserted-by":"crossref","unstructured":"A. Y.Kibangou \u201cFinite\u2010Time Average Consensus Based Protocol for Distributed Estimation over AWGN Channels \u201d in2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC\u2010ECC) (2011):5595\u20135600.","DOI":"10.1109\/CDC.2011.6160868"}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.70044","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/cta.70044","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.70044","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,8]],"date-time":"2026-03-08T21:43:40Z","timestamp":1773006220000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.70044"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,26]]},"references-count":22,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,3]]}},"alternative-id":["10.1002\/cta.70044"],"URL":"https:\/\/doi.org\/10.1002\/cta.70044","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6,26]]},"assertion":[{"value":"2025-01-22","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-06-18","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-06-26","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}