{"title":"线动力学对成网逆变器Hopf分叉稳定裕度的影响","authors":"Sushobhan Chatterjee, Sijia Geng","doi":"10.1016/j.segan.2025.101947","DOIUrl":null,"url":null,"abstract":"<div><div>This paper studies oscillatory instability in grid-forming inverters through Hopf bifurcation analysis. An analytical expression for the parameter sensitivity of the stability margin is derived based on the normal vector to the bifurcation hypersurface. Through comprehensive analysis, we identify the most effective control parameters in counteracting the destabilizing effect due to parameter variations. In particular, the impacts of dynamic line modeling on the stability margin are investigated. It is observed that including line dynamics introduces a generally significant reduction in the stability margin across parameters. Additionally, dynamic line models introduce new bifurcations not present in the static model case. This suggests that adopting static line models may lead to overly optimistic stability assessment results.</div></div>","PeriodicalId":56142,"journal":{"name":"Sustainable Energy Grids & Networks","volume":"44 ","pages":"Article 101947"},"PeriodicalIF":5.6000,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effects of line dynamics on the stability margin to Hopf bifurcation in grid-forming inverters\",\"authors\":\"Sushobhan Chatterjee, Sijia Geng\",\"doi\":\"10.1016/j.segan.2025.101947\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper studies oscillatory instability in grid-forming inverters through Hopf bifurcation analysis. An analytical expression for the parameter sensitivity of the stability margin is derived based on the normal vector to the bifurcation hypersurface. Through comprehensive analysis, we identify the most effective control parameters in counteracting the destabilizing effect due to parameter variations. In particular, the impacts of dynamic line modeling on the stability margin are investigated. It is observed that including line dynamics introduces a generally significant reduction in the stability margin across parameters. Additionally, dynamic line models introduce new bifurcations not present in the static model case. This suggests that adopting static line models may lead to overly optimistic stability assessment results.</div></div>\",\"PeriodicalId\":56142,\"journal\":{\"name\":\"Sustainable Energy Grids & Networks\",\"volume\":\"44 \",\"pages\":\"Article 101947\"},\"PeriodicalIF\":5.6000,\"publicationDate\":\"2025-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Sustainable Energy Grids & Networks\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2352467725003297\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENERGY & FUELS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sustainable Energy Grids & Networks","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2352467725003297","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENERGY & FUELS","Score":null,"Total":0}
Effects of line dynamics on the stability margin to Hopf bifurcation in grid-forming inverters
This paper studies oscillatory instability in grid-forming inverters through Hopf bifurcation analysis. An analytical expression for the parameter sensitivity of the stability margin is derived based on the normal vector to the bifurcation hypersurface. Through comprehensive analysis, we identify the most effective control parameters in counteracting the destabilizing effect due to parameter variations. In particular, the impacts of dynamic line modeling on the stability margin are investigated. It is observed that including line dynamics introduces a generally significant reduction in the stability margin across parameters. Additionally, dynamic line models introduce new bifurcations not present in the static model case. This suggests that adopting static line models may lead to overly optimistic stability assessment results.
期刊介绍:
Sustainable Energy, Grids and Networks (SEGAN)is an international peer-reviewed publication for theoretical and applied research dealing with energy, information grids and power networks, including smart grids from super to micro grid scales. SEGAN welcomes papers describing fundamental advances in mathematical, statistical or computational methods with application to power and energy systems, as well as papers on applications, computation and modeling in the areas of electrical and energy systems with coupled information and communication technologies.