| 基于hopf分岔理论的带调压室水电站
非线性稳定性分析 |
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| 引用本文： | 鲍海艳,付亮,杨建东.基于hopf分岔理论的带调压室水电站
非线性稳定性分析[J].水利水电技术,2011,42(12):29. |
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| 作者姓名： | 鲍海艳 付亮 杨建东 |
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| 作者单位： | (1.长沙理工大学水利工程学院，湖南长沙，
410114; 2.湖南省电力公司科学研究院，湖南长沙410007
3.武汉大学水资源与水电工程科学国家重点实验室，湖北武汉430072) |
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| 基金项目： | 水沙科学与水灾害防治湖南省重点实验室基金项目(2011SS04); 长沙理工大学人才引进基金项目(1198006) |
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| 摘 要： | 考虑水力系统非线性特性，建立带调压室水电站引水发电系统非线性数学模型，利用hopf
分岔的代数判据理论得到带调压室水电站非线性稳定域，并得到系统的分岔图，同时对非线性稳定域
的影响因素进行分析。研究表明:非线性稳定域要明显小于线性稳定域;调压室面积增大对系统的稳
定性有利;当调压室面积大于托马稳定断面F>F}时，Tn值对非线性稳定域有明显的影响，而当调
压室面积小于托马稳定断面F < F}时，Tn值的变化对稳定域的影响并不十分明显;同时随着负荷扰
动量的增大，系统的稳定域减小。
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| 关 键 词： | 水电站 调压室 hopf分岔 非线性稳定域 |
Hopf-bifurcation theory based nonlinear analysis on stability of hydropower station with surge tank |
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| BAO Haiyan,FU Liang,YANG Jiandong.Hopf-bifurcation theory based nonlinear analysis on stability of hydropower station with surge tank[J].Water Resources and Hydropower Engineering,2011,42(12):29. |
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| Authors: | BAO Haiyan FU Liang YANG Jiandong |
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| Affiliation: | (1. School of Hydraulic Engineering, Changsha University of science and Technology,
2. Hunan Electric Science Research Institute, Changsha 410007
Changsha 410114, Hunan, China
Hunan
3. State Key Laboratory of Water Resources and Hydmpower Engineering science, Wuhan University,
China;
Wuhan 430072，Hubei, China) |
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| Abstract: | Considering the nonlinear characteristic of hydraulic system,a nonlinear mathematic model of hydropower station with surge tank is set up,and then the nonlinear stability domain is obtained with the bifurcation diagram of the system based on the hopf-bifurcation theory.Furthermore,the factors of the effects on the nonlinear stability domain are analyzed as well.The results show that the nonlinear stability domain is obviously smaller than that of the linear one.Therefore,enlarging the area of the surge tank... |
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| Keywords: | hydropower station surge tank hopf-bifurcation nonlinear stability domain |
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