{"title":"电网Hopf分岔的频域分析","authors":"H. Kwatny, G.E. Piper","doi":"10.1109/CDC.1989.70475","DOIUrl":null,"url":null,"abstract":"An approach is discussed for studying certain types of parametric instabilities in electric power networks that are associated with a Hopf bifurcation. The method is based on a frequency-domain version of the Hopf bifurcation theorem due to A. Mees and L. Chua (1979) and is suitable for the detailed study of large-scale systems. The practical importance of establishing the type of Hopf bifurcation, i.e., subcritical or supercritical, is emphasized. Systems which operate near a subcritical Hopf bifurcation point are clearly vulnerable to disturbances.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"268 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":"{\"title\":\"Frequency domain analysis of Hopf bifurcations in electric power networks\",\"authors\":\"H. Kwatny, G.E. Piper\",\"doi\":\"10.1109/CDC.1989.70475\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An approach is discussed for studying certain types of parametric instabilities in electric power networks that are associated with a Hopf bifurcation. The method is based on a frequency-domain version of the Hopf bifurcation theorem due to A. Mees and L. Chua (1979) and is suitable for the detailed study of large-scale systems. The practical importance of establishing the type of Hopf bifurcation, i.e., subcritical or supercritical, is emphasized. Systems which operate near a subcritical Hopf bifurcation point are clearly vulnerable to disturbances.<<ETX>>\",\"PeriodicalId\":156565,\"journal\":{\"name\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"volume\":\"268 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1989.70475\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70475","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Frequency domain analysis of Hopf bifurcations in electric power networks
An approach is discussed for studying certain types of parametric instabilities in electric power networks that are associated with a Hopf bifurcation. The method is based on a frequency-domain version of the Hopf bifurcation theorem due to A. Mees and L. Chua (1979) and is suitable for the detailed study of large-scale systems. The practical importance of establishing the type of Hopf bifurcation, i.e., subcritical or supercritical, is emphasized. Systems which operate near a subcritical Hopf bifurcation point are clearly vulnerable to disturbances.<>
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
