| 考虑饱和非线性环节的水轮机调节系统的分叉分析 |
| |
| 引用本文： | 凌代俭,沈祖诒.考虑饱和非线性环节的水轮机调节系统的分叉分析[J].水力发电学报,2007,26(6):126-131. |
| |
| 作者姓名： | 凌代俭 沈祖诒 |
| |
| 作者单位： | 1. 河海大学水利水电工程学院,南京,210098;扬州大学建筑科学与工程学院,扬州,225009
2. 河海大学水利水电工程学院,南京,210098 |
| |
| 摘 要： | 为了深入地探索水轮机调节系统的非线性动力学特性,在小波动情况下考虑了水轮机调节系统的饱和非线性环节,建立了一个便于运用非线性分叉理论进行分析处理的微分方程组模型,利用该模型分析了PI型水轮机调节系统中的非线性动力学行为,得到系统存在Hopf分叉的条件及其分叉方向,给出系统保持稳定时调节器参数之间应满足的关系,通过计算仿真了分叉点两侧系统稳定性的变化情况,验证了理论分析的结果,表明使分叉参数远离分叉点将有利于系统较快地收敛到平衡点。
|
| 关 键 词： | 水轮机调节系统 饱和非线性 Hopf分叉 稳定性 |
| 收稿时间： | 2006-02-20 |
| 修稿时间： | 2006年2月20日 |
Bifurcation analysis of hydro-turbine governing system with saturation nonlinearity |
| |
| LING Daijian,SHEN Zuyi.Bifurcation analysis of hydro-turbine governing system with saturation nonlinearity[J].Journal of Hydroelectric Engineering,2007,26(6):126-131. |
| |
| Authors: | LING Daijian SHEN Zuyi |
| |
| Abstract: | In order to study the nonlinear dynamical behavior of hydro-turbine governing system,a differential equation model with saturation nonlinearity is established in small disturbance.The model is easy to be analyzed by bifurcation theory.An analysis of the dynamical behavior of hydro-turbine governing system is presented and the condition for the existence of Hopf bifurcation and the stability relationship satisfied in the regulation system are obtained.The theoretical results are simulated and supported by numerical calculation,it shows that bifurcation parameters far from bifurcation points will be advantageous to converge system rapidly at the equilibrium. |
| |
| Keywords: | hydro-turbine governing system saturation nonlinear Hopf bifurcation stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
