{"title":"Convex Optimization Method for Affine Arithmetic-based Optimal Power-Gas Flow under Wind Power Uncertainty","authors":"Xianghao Zheng, Feixiong Chen, Yixin Guo, Jianming Wang, Chunlin Jiang, Zhenguo Shao","doi":"10.1109/ACPEE56931.2023.10135762","DOIUrl":null,"url":null,"abstract":"As wind power develops by leaps and bounds, its uncertainty has posed huge challenges for operational planning for integrated electricity-gas system (IEGS). An approach based on affine arithmetic (AA) for optimal power-gas flow (OPGF) considering uncertainty of wind power is proposed. Based on convex envelope, AA-based OPGF model is developed without non-affine operations. Uncertain wind power is treated by affine form keeping track of relationships between uncertain variables. By introducing AA theory, AA-based OPGF model can be converted into deterministic multi-objective problem. Then a tightening convex envelope algorithm is employed to enhance solution feasibility of AA-based OPGF. Numerical results demonstrate the effectiveness of the proposed AA-based method compared with Monte Carlo method. In addition, the transmission tracks of uncertain factors are also revealed.","PeriodicalId":403002,"journal":{"name":"2023 8th Asia Conference on Power and Electrical Engineering (ACPEE)","volume":"212 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 8th Asia Conference on Power and Electrical Engineering (ACPEE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACPEE56931.2023.10135762","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
As wind power develops by leaps and bounds, its uncertainty has posed huge challenges for operational planning for integrated electricity-gas system (IEGS). An approach based on affine arithmetic (AA) for optimal power-gas flow (OPGF) considering uncertainty of wind power is proposed. Based on convex envelope, AA-based OPGF model is developed without non-affine operations. Uncertain wind power is treated by affine form keeping track of relationships between uncertain variables. By introducing AA theory, AA-based OPGF model can be converted into deterministic multi-objective problem. Then a tightening convex envelope algorithm is employed to enhance solution feasibility of AA-based OPGF. Numerical results demonstrate the effectiveness of the proposed AA-based method compared with Monte Carlo method. In addition, the transmission tracks of uncertain factors are also revealed.