{"title":"具有弹性的风力机模型稳定性分析","authors":"A. Savchenko, A. Zuyev","doi":"10.1109/ROMOCO.2004.240648","DOIUrl":null,"url":null,"abstract":"A mathematical model of a wind engine unit has been proposed as a system of coupled rigid bodies. Stability conditions of a stationary motion have been obtained by means of linearization. For the case of small blades deviation and large stiffness coefficients, we derive a stability condition in terms of the angular velocity and inertial parameters. Under additional constraints, we obtain a sufficient stability condition for admissible frontal pressure. It is proved that uniform rotation of the model is stable when the shaft's stiffness coefficient is large enough.","PeriodicalId":176081,"journal":{"name":"Proceedings of the Fourth International Workshop on Robot Motion and Control (IEEE Cat. No.04EX891)","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability analysis of a wind engine model with elasticity\",\"authors\":\"A. Savchenko, A. Zuyev\",\"doi\":\"10.1109/ROMOCO.2004.240648\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A mathematical model of a wind engine unit has been proposed as a system of coupled rigid bodies. Stability conditions of a stationary motion have been obtained by means of linearization. For the case of small blades deviation and large stiffness coefficients, we derive a stability condition in terms of the angular velocity and inertial parameters. Under additional constraints, we obtain a sufficient stability condition for admissible frontal pressure. It is proved that uniform rotation of the model is stable when the shaft's stiffness coefficient is large enough.\",\"PeriodicalId\":176081,\"journal\":{\"name\":\"Proceedings of the Fourth International Workshop on Robot Motion and Control (IEEE Cat. No.04EX891)\",\"volume\":\"64 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-06-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Fourth International Workshop on Robot Motion and Control (IEEE Cat. No.04EX891)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ROMOCO.2004.240648\",\"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 Fourth International Workshop on Robot Motion and Control (IEEE Cat. No.04EX891)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ROMOCO.2004.240648","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability analysis of a wind engine model with elasticity
A mathematical model of a wind engine unit has been proposed as a system of coupled rigid bodies. Stability conditions of a stationary motion have been obtained by means of linearization. For the case of small blades deviation and large stiffness coefficients, we derive a stability condition in terms of the angular velocity and inertial parameters. Under additional constraints, we obtain a sufficient stability condition for admissible frontal pressure. It is proved that uniform rotation of the model is stable when the shaft's stiffness coefficient is large enough.