Hopf Bifurcation Research of Hydraulic Turbine Governing System with a Saturation Nonlinearity

被引：0
|
作者：
Qijuan Chen [1 ]
Haifeng Guo [1 ]
Junyi Li [1 ]
机构：
[1] Power and Mechanical Engineering,Wuhan University
来源：
Journal of Harbin Institute of Technology(New series) | 2016年 / 06期
关键词：
hydro turbine governing system; saturation nonlinearity; supercritical Hopf bifurcation; dynamic behavior;
D O I：
暂无
中图分类号：
TV734.1 [];
学科分类号：
081504 ;
摘要：
A nonlinear mathematical model for hydro turbine governing system with saturation nonlinearity in small perturbation has been proposed with all the essential components,i.e. turbine,PID type governor with saturation part and generator included in the model. Existence,stability and direction of Hopf bifurcation of an example HTGS are investigated in detail and presented in forms of bifurcation diagrams and time waveforms. The analysis show that a supercritical Hopf bifurcation may exist in hydraulic turbine systems in some certain conditions. Moreover,the dynamic behavior of system with different parameters such as Tw,Tab,Tyand K are studied extensively. An example with numerical simulations is presented to illustrate the theoretical results. The researches provide a reasonable explanation for the Hopf phenomenon happened in operation of hydroelectric generating unit.
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收藏
页码：54 / 60
页数：7
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