水利学报2016，Vol.47Issue(2)：189-199,11.DOI:10.13243/j.cnki.slxb.20150385
基于Hopf分岔的变顶高尾水洞水电站水轮机调节系统稳定性研究
Stability analysis of hydro-turbine governing system of hydropower station with inclined ceiling tailrace based on Hopf bifurcation
摘要
Abstract
Based on the Hopf bifurcation theory, the stability analysis of hydro-turbine governing system of hydropower station with inclined ceiling tailrace is studied. Firstly, the nonlinear mathematical model is es⁃tablished. This model contains the momentum equation of pipeline system which can accurately describe the motion characteristics of the interface of free surface pressurized flow in inclined ceiling tailrace. According to the nonlinear mathematical model, the existence and direction of Hopf bifurcation of nonlinear dynamic system are analyzed. Furthermore, the algebraic criterion of the occurrence of Hopf bifurcation is derived. Then the stability domain of hydro-turbine governing system is drawn by the algebraic criterion, and the characteristics of stability under different state parameters are investigated. Finally, the stability working principle of inclined ceiling tailrace in the condition of load adjustment is studied based on stability do⁃main. The results indicate that the Hopf bifurcation of hydro-turbine governing system of hydropower station with inclined ceiling tailrace is supercritical. The variation of water inertia caused by free surface pressur⁃ized flow is favorable for the stability under load reduction,but it is unfavorable under load increase. How⁃ever, the water-level fluctuation of free surface flow is always favorable for the stability under load reduc⁃tion and load increase.关键词
变顶高尾水洞/水轮机调节/非线性系统/稳定性/Hopf分岔Key words
inclined ceiling tailrace/hydro-turbine governing/nonlinear system/stability/Hopf bifurcation分类
水利科学引用本文复制引用
郭文成,杨建东,王明疆..基于Hopf分岔的变顶高尾水洞水电站水轮机调节系统稳定性研究[J].水利学报,2016,47(2):189-199,11.基金项目
国家自然科学基金项目（51379158）；国家留学基金委公派留学基金 （）
