{"title":"Network-Based Spectral Analysis of Power Systems with Renewable Energy Penetration","authors":"W. Hao, Qian Zhang, Xueyi Wang, D. Gan","doi":"10.1109/POWERCON53785.2021.9697734","DOIUrl":null,"url":null,"abstract":"This paper studies spectral properties of power systems with renewable energy penetration from a network-based perspective. First, power network equations with renewable energy penetration and the Kron-reduced matrix are introduced. Then, the monotonicity between the number of renewable energy nodes and the eigenvalues of the Kron-reduced matrix is proved. We study the relationship between the smallest eigenvalue of the Kron-reduced matrix and voltage stability. We also report two applications of algebraic connectivity in power systems with renewable energy penetration: synchronous stability and graph partitioning. Finally, the introduced spectral properties are applied to a simple two-area system and a regional power grid in Tibet, China.","PeriodicalId":216155,"journal":{"name":"2021 International Conference on Power System Technology (POWERCON)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 International Conference on Power System Technology (POWERCON)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/POWERCON53785.2021.9697734","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
This paper studies spectral properties of power systems with renewable energy penetration from a network-based perspective. First, power network equations with renewable energy penetration and the Kron-reduced matrix are introduced. Then, the monotonicity between the number of renewable energy nodes and the eigenvalues of the Kron-reduced matrix is proved. We study the relationship between the smallest eigenvalue of the Kron-reduced matrix and voltage stability. We also report two applications of algebraic connectivity in power systems with renewable energy penetration: synchronous stability and graph partitioning. Finally, the introduced spectral properties are applied to a simple two-area system and a regional power grid in Tibet, China.