基于hopf分岔理论的带调压室水电站非线性稳定性分析  

Hopf-bifurcation theory based nonlinear analysis on stability of hydropower station with surge tank

作　　者：鲍海艳[1] 付亮[2] 杨建东[3] 

机构地区：[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

出　　处：《水利水电技术》2011年第12期29-33,共5页Water Resources and Hydropower Engineering

基　　金：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)

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>Fth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<Fth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。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 hnear one. Therefore, enlarging the area of the surge tank is to be favorable to the stability of system. When F 〉 Fth, the value of Tn has a significant effect on the nonlinear stability domain, while F 〈 Fth, the effect is not so distinct. At the same time, the stability domain of the system is to be decreased along with the increase of the load disturbance concerned.

关 键 词：水电站 调压室 HOPF分岔 非线性稳定域 

分 类 号：TV134[水利工程—水力学及河流动力学]