{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,27]],"date-time":"2026-08-27T05:40:18Z","timestamp":1787809218271,"version":"build-2784847793"},"reference-count":18,"publisher":"Public Library of Science (PLoS)","issue":"10","license":[{"start":{"date-parts":[[2024,10,24]],"date-time":"2024-10-24T00:00:00Z","timestamp":1729728000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012302","name":"Guangdong Power Grid Company","doi-asserted-by":"publisher","award":["080036KK52210003"],"award-info":[{"award-number":["080036KK52210003"]}],"id":[{"id":"10.13039\/501100012302","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS ONE"],"abstract":"<jats:p>With the increasing demand for electricity load in China, orderly power utilization are important measures to alleviate electricity shortages during peak periods. This article establishes a multi-objective optimization model for orderly power utilization in active distribution networks is established, with the optimization objectives of minimizing the total operation cost, minimizing the cost for users, and minimizing the load fluctuation of the system. This model contains a large number of integer variables and nonlinear constraints, which is difficult to solve. To reduce computation time, convex relaxation techniques are adopted to transform the original model into a mixed-integer second-order cone programming (MISOCP) model, which has lower computational complexity. Furthermore, The improved <jats:italic>\u03b5<\/jats:italic>-constraint method is proposed to solve the model, which can directly and quickly find the compromise optimal solution of the multi-objective problem. By using simplex search algorithm, the proposed method dose not need to traverse all grid points, which can significantly reduce computation time. Finally, case study on the the IEEE-33 bus distribution network demonstrate the effectiveness of the proposed method.<\/jats:p>","DOI":"10.1371\/journal.pone.0309437","type":"journal-article","created":{"date-parts":[[2024,10,24]],"date-time":"2024-10-24T17:33:41Z","timestamp":1729791221000},"page":"e0309437","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":8,"title":["Multi-objective optimal decision for orderly power utilization based on improved \u03b5-constraint method in active distribution networks"],"prefix":"10.1371","volume":"19","author":[{"given":"Xin","family":"Wen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hui","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoqiang","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yiwei","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Liu","family":"Siliang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-3690-3993","authenticated-orcid":true,"given":"Guohua","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2024,10,24]]},"reference":[{"key":"pone.0309437.ref001","unstructured":"Xinhua. Peak electricity consumption is approaching, and energy supply is in full swing [EB\/OL]. 2022-06-08."},{"key":"pone.0309437.ref002","volume-title":"Circular of the National Development and Reform Commission on Measures for the Management of Orderly Electricity Consumption","author":"National Development and Reform Commission","year":"2011"},{"issue":"01","key":"pone.0309437.ref003","first-page":"58","article-title":"Real time demand response theory based on load regulation capability model","volume":"16","author":"TAN Zhukui","year":"2022","journal-title":"Southern Power System Technology"},{"issue":"09","key":"pone.0309437.ref004","first-page":"2315","article-title":"Research on drafting of optimal peak averting planning for ordered power utilization","volume":"38","author":"LU Tingting","year":"2014","journal-title":"Power System Technology"},{"issue":"03","key":"pone.0309437.ref005","first-page":"797","article-title":"A comprehensive decision method for orderly power utilization considering network constraints","volume":"39","author":"PENG Bo","year":"2015","journal-title":"Power System Technology"},{"issue":"22","key":"pone.0309437.ref006","first-page":"70","article-title":"A centralized decision method for multi-time scale coordinated orderly power consumption","volume":"38","author":"ZHANG Mingming","year":"2014","journal-title":"Automation of Electric Power Systems"},{"issue":"03","key":"pone.0309437.ref007","first-page":"16","article-title":"Research of the intelligent decision system for orderly electricity use with multi\u2043objective optimization","volume":"17","author":"WANG Yan","year":"2015","journal-title":"Power Demand Side Management"},{"issue":"02","key":"pone.0309437.ref008","first-page":"425","article-title":"A dynamic multi-level temporal and spatial coordination method for orderly power","volume":"40","author":"YAN Qingguo","year":"2016","journal-title":"Power System Technology"},{"issue":"05","key":"pone.0309437.ref009","first-page":"1802","article-title":"An Orderly Power Utilization Mode Based on Intelligent Multi-agent Apanage Management System","volume":"43","author":"WANG Yining","year":"2019","journal-title":"Power System Technology"},{"issue":"09","key":"pone.0309437.ref010","first-page":"2490","article-title":"Load restoration considering load fluctuation rate and load complementary coefficient","volume":"38","author":"GONG Wei","year":"2014","journal-title":"Power System Technology"},{"issue":"17","key":"pone.0309437.ref011","first-page":"37","article-title":"Dynamic reactive power optimization method based on mixed integer second-order cone programming","volume":"41","author":"LAI Xiaowen","year":"2017","journal-title":"Automation of Electric Power Systems"},{"key":"pone.0309437.ref012","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4614-1927-3","volume-title":"Mixed integer nonlinear programming","author":"J. Lee","year":"2012"},{"key":"pone.0309437.ref013","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1016\/B978-0-12-012710-8.50013-3","article-title":"Integrated system identification and optimization","volume":"10","author":"Y Haimes","year":"1973","journal-title":"Control and Dynamic System: Advances in Theory and Application"},{"issue":"02","key":"pone.0309437.ref014","first-page":"542","article-title":"Solution for multi-objective security constrained unit commitment with wind power","volume":"45","author":"WU Hui","year":"2021","journal-title":"Power System Technology"},{"key":"pone.0309437.ref015","volume-title":"Introduction to Multivariate Statistical Analysis","author":"ZHANG Yaoting","year":"1982"},{"issue":"4","key":"pone.0309437.ref016","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1093\/comjnl\/7.4.308","article-title":"A simplex method for function minimization","volume":"7","author":"J. Nelder","year":"1965","journal-title":"The Computer Journal"},{"issue":"1","key":"pone.0309437.ref017","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1109\/TPWRS.2015.2394454","article-title":"A mixed integer quadratic programming model for topology identification in distribution network","volume":"31","author":"Z. Tian","year":"2016","journal-title":"IEEE Transactions on Power Systems"},{"issue":"13","key":"pone.0309437.ref018","first-page":"20","article-title":"A new combinational electrical load analysis method for demand side management","volume":"41","author":"HUANG Yuteng","year":"2013","journal-title":"Power System Protection and Control"}],"container-title":["PLOS ONE"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0309437","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,24]],"date-time":"2024-10-24T17:33:52Z","timestamp":1729791232000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0309437"}},"subtitle":[],"editor":[{"given":"Emanuele","family":"Crisostomi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2024,10,24]]},"references-count":18,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2024,10,24]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pone.0309437","relation":{},"ISSN":["1932-6203"],"issn-type":[{"value":"1932-6203","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,24]]}}}